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Practice Worksheets – Components 1 to 8
For certification June 2017 onwards
AQA Resources
Entry Level Certificate
MATHEMATICS
Our specification is published on our website (www.aqa.org.uk). We will also publish changes on our
website. The definitive version of our specification will always b the one on our website, this may differ
from printed versions.
Version 1.0 3
Contents
Introduction 5
Component 1 - Properties of Number 6
Component 2 – The Four Operations 40
Component 3 – Ratio 70
Component 4 – Money 100
Component 5 – The calendar and time 130
Component 6 – Measures 160
Component 7 – Geometry 190
Component 8 – Statistics 220
Version 1.0 5
Introduction
It is recognised that GCSE Mathematics is too demanding for some students.
Entry Level Certificate Mathematics is designed as a qualification that offers students who are unlikely to achieve a grade in GCSE mathematics the opportunity to achieve a certificated award. This specification has been designed to build on work undertaken at Key Stage 3. The specification has been developed with reference to National curriculum attainment targets and GCSE subject criteria for Mathematics. It is intended that it can be used in conjunction with any GCSE mathematics specification, particularly those offered by AQA. It therefore offers opportunities for students to work alongside those following a GCSE course in Mathematics.
These worksheets may be used as practice material for the outcomes detailed in the specification or you may prefer to produce your own.
be submitted as part of a studen;ty final pro that can be submitted as part of a student's
final
final
Practice
6 Version 1.0
Component 1 Properties of number
Outcome 1.1 Count reliably up to 20 items
Name Date achieved
1 Count how many ducks.
Answer _________________ ducks
2 How many balloons are there?
Answer _________________ balloons
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 1 - PROPERTIES OF NUMBER
Version 1.0 7
3 How many apples are there?
Answer _________________ apples
4 Draw some more arrows so there are 8 arrows altogether.
Practice
8 Version 1.0
5 Danny has 6 pencils in his pencil case.
Draw the pencils in the case.
6 Draw 12 tennis balls below.
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 1 - PROPERTIES OF NUMBER
Version 1.0 9
7 Draw some more triangles so there are 9 triangles altogether.
8 Draw some more squares so there are 10 squares altogether.
Practice
10 Version 1.0
Outcome 1.2 Read, write, order and compare numbers up to 20, including zero
Name Date achieved
1 Draw a circle round the smallest number in each box below.
3 4 9 7 8 5
7 1 0 2 6 3
2 Write the numbers below in words.
3 ___________________________
9 ___________________________
12 ___________________________
16 ___________________________
3 Write these words as numbers.
one _________________________
eighteen _________________________
nine _________________________ zero
_________________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 1 - PROPERTIES OF NUMBER
Version 1.0 11
4 Write these numbers in order.
Start with the smallest.
15 7 18 12 1
_________ _________ _________ _________ _________
5 Write these numbers in order.
Start with the largest.
13 17 10 15 20
_________ _________ _________ _________ _________
6 Use lines to join the words to their matching numbers, the first one has been done for you.
Words Digits
Zero 17
Five 0
Nine 9
Twelve 16
Seventeen 12
Sixteen 5
Practice
12 Version 1.0
Outcome 1.3 Complete a number line up to 20
Name Date achieved
1 Look at the number lines.
Fill in the missing numbers. (a)
(b)
(c)
(d)
(e)
(f)
10 _________ 12 13 _________ 15 16 17 18
9 10 _________ 12 _________ 14 15 16 17
7 8 9 _________ 11 _________ 13 14 15
0 1 2 _________ 4 _________ 6 7 8
11 _________ 13 14 _________ 16 17 18 19
0 1 2 _________ 4 _________ 6 7 8
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 1 - PROPERTIES OF NUMBER
Version 1.0 13
(g)
(h)
(i)
_________ 13 _________ 15 16 17 18 19 20
14 13 _________ 11 _________ 9 8 7 6
10 9 _________ 7 _________ 5 4 3 2
Practice
14 Version 1.0
Outcome 2.1 Read, write, order and compare numbers up to 100
Name Date achieved
1 Use lines to join the words to their matching numbers, the first one has been done for you.
Words Digits
Twenty 99
Fifty five 43
Seventy 20
Eighty four 70
Forty three 55
Ninety nine 84
2 Write these numbers in order.
Start with the smallest.
48 84 20 19 39 95
_________ _________ _________ _________ _________ _________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 1 - PROPERTIES OF NUMBER
Version 1.0 15
3 Write the following in words:
(a) 65 _________________________________________________________
(b) 49 _________________________________________________________
(c) 84 _________________________________________________________
4 Write the following as numbers:
(a) Thirty seven _________________
(b) Eighteen _________________
(c) Eighty one _________________
5 Fill in the missing numbers on the cards.
Any number that is more than 20 but less than 30
____________
Any number that is larger than 50 but less than 70
____________
Any number that is more than 80 but less than 95
____________
Practice
16 Version 1.0
6 Four students were asked to guess the number of mables in a jar.
Robin Alex Miriam Liz
64 72 80 85
(a) Who made the smallest guess?
_________________________________________________________
(b) The actual number of marbles in the jar is 90.
Whose guess was the closest?
_________________________________________________________ 7 Write the following set of numbers in order, smallest to largest.
34 56 85 92 75 46
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 1 - PROPERTIES OF NUMBER
Version 1.0 17
8 Write the following set of numbers in order, largest to smallest.
21 45 91 86 55 74
Practice
18 Version 1.0
Outcome 2.2 Recognise place value in two-digit numbers
Name Date achieved
1 Shade in all of the numbers that have a 3 in the units column.
15 16 17 18 19 20 21 22
23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38
39 40 41 42 43 44 45 46
47 48 49 50 51 52 53 54
2 Shade in all of the numbers that have a 5 in the tens column.
15 16 17 18 19 20 21 22
23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38
39 40 41 42 43 44 45 46
47 48 49 50 51 52 53 54
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 1 - PROPERTIES OF NUMBER
Version 1.0 19
3 Write down the value of the digit underlined. The first one is done for you.
(a) 62 2 units
(b) 43 _________________
(c) 75 _________________
(d) 83 _________________
4 Write the following as figures:
(a) Two tens and five units _________________
(b) Nine tens _________________
(c) Four units and seven tens _________________
Practice
20 Version 1.0
Outcome 2.3 Count from 0 in steps of 2, 3 and 5
Name Date achieved
1 Counting in steps of 2 makes the number pattern 2, 4, 6, 8, …..
Shade in the rest of the numbers in this pattern.
1 2 3 4 5 6 7 8
9 10 11 12 13 14 15 16
17 18 19 20 21 22 23 24
25 26 27 28 29 30 31 32
33 34 35 36 37 38 39 40
2 Counting in steps of 3 makes the number pattern 3, 6, 9, 12, …..
Shade in the rest of the numbers in this pattern.
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 1 - PROPERTIES OF NUMBER
Version 1.0 21
3 Counting in steps of 5 makes the number pattern 5, 10, 15, 20, …..
Shade in the rest of the numbers in this pattern.
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
4 Fill in the missing numbers in these patterns.
(a) 30 32 _________ 36 _________ 40
(b) 56 _________ 62 65 _________ 71
5 Fill in the missing numbers in these patterns.
(a) 90 88 _________ 84 82 _________
(b) 70 65 _________ 55 50 _________
Practice
22 Version 1.0
Outcome 2.4 Round numbers less than 100 to the nearest 10
Name Date achieved
1 Look at the numbers below.
Circle all of the numbers that are closer to 50 than 60
2 Look at the numbers below.
Circle all of the numbers that would round to 80 if you were rounding to the nearest 10 3 Round each of the following numbers to the nearest 10
(a) 84 __________ (b) 22 __________
(d) 76 __________ (c) 36
__________
(e) 43 __________ (f) 91
__________
52
51
54
53
56
55
58
57 59
78
77
80
79
82
81
84
83 85
86
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 1 - PROPERTIES OF NUMBER
Version 1.0 23
4 Each of the following numbers are rounded to the nearest 10.
Join the numbers to their answers.
The first one has been done for you.
Number Rounded to the nearest 10
24 80
78 20
94 50
25 90
84 30
47 80
Practice
24 Version 1.0
Outcome 2.5 Understand and identify odd and even numbers
Name Date achieved
1 Look at the numbers below.
Circle all of the odd numbers.
2 Look at the numbers below.
Circle all of the even numbers.
3 Write down an odd number between 60 and 70 _______________
4 Write down an even number between 71 and 81 _______________
3
2
1
6
5
4
9
8
7
12
11
10
15
14
13
18
17
16
21
20
19
11
10
9
14
13
12
17
16
15
20
19
18
23
22
21
26
25
24
29
28
27
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 1 - PROPERTIES OF NUMBER
Version 1.0 25
5 What is the next even number after 58? _______________
6 What is the next odd number after 91? _______________
7 What is the next even number after 28? _______________
8 What is the next odd number after 35? _______________
9 Sidrah says,
‘There are 11 odd numbers between 0 and 20’
Is she correct?
Show how you decide.
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
Practice
26 Version 1.0
Outcome 3.1 Read and write numbers up to 1000
Name Date achieved
1 Look at the grid.
Shade in the following numbers
(a) Four hundred
(b) Eight hundred and sixty
(c) Two hundred and two
(d) Five hundred and twenty six
2 Write the following numbers in words.
(a) 500 _________________________________________________________
(b) 470 _________________________________________________________
(c) 871 _________________________________________________________
815 800 240 202
224 400 560 60
526 440 501 430
806 860 40 550
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 1 - PROPERTIES OF NUMBER
Version 1.0 27
2 Write the following numbers in figures:
(a) Six hundred _________________
(b) Seven hundred and seven _________________
(c) Six hundred and nine _________________
(d) Nine hundred and nineteen _________________
(e) Eight hundred and two _________________
(f) Two hundred and four _________________
(g) One hundred and fourteen _________________
Practice
28 Version 1.0
Outcome 3.2 Order and compare numbers up to 1000
Name Date achieved
1 Look at the list of numbers.
802 375 983 830 229 88 777
(b) Which is the largest number? ______________________
(c) Which is the smallest number ______________________ 2 Write these numbers in order.
Start with the smallest.
418 854 260 119 349 985
_________ _________ _________ _________ _________ _________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 1 - PROPERTIES OF NUMBER
Version 1.0 29
3 Write these numbers in order.
Start with the smallest.
186 759 660 606 669 768
_________ _________ _________ _________ _________ _________
4 These numbers are in order starting with the smallest.
206 279 335 _________ 376 510 601
What could the missing number be? ______________________
5 Circle the word needed to make the sentence correct.
(a) 723 is bigger smaller than 698
(b) 967 is bigger smaller than 998
Practice
30 Version 1.0
Outcome 3.3 Recognise place value in 3-digit numbers
Name Date achieved
1 Look at the list of numbers.
35 589 865 687 249 57 956 648
(a) Which of the numbers have a 8 in the tens column?
______________________ and ______________________
(b) Which of the numbers have a 9 in the units column?
______________________ and ______________________
(c) Which of the numbers have a 6 in the hundreds column?
______________________ and ______________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 1 - PROPERTIES OF NUMBER
Version 1.0 31
2 Write down the value of the digit underlined. The first one is done for you.
(a) 985 8 tens or 80
(b) 743 _________________
(c) 557 _________________
(d) 583 _________________
3 Write the following as figures:
(a) Three hundreds and five tens _________________
(b) Nine hundreds, 3 tens and 8 units _________________
(c) Six hundreds and four units _________________
Practice
32 Version 1.0
Outcome 3.4 Round numbers less than 1000 to the nearest 10
Name Date achieved
1 Look at the numbers below.
Circle all of the numbers that are closer to 80 than 90
2 Look at the numbers below.
Circle all of the numbers that would round to 560 if you were rounding to the nearest 10 3 Round each of the following numbers to the nearest 10
(a) 474 __________ (b) 672 __________
(d) 973 __________ (c) 456
__________
(e) 813 __________ (f) 291
__________
82
81
84
83
86
85
88
87 89
558
557
560
559
562
561
564
563 565
566
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 1 - PROPERTIES OF NUMBER
Version 1.0 33
4 Each of the following numbers are rounded to the nearest 10
Join the numbers to their answers.
The first one has been done for you.
Number Rounded to the nearest 10
344 690
269 340
871 270
543 540
974 870
687 970
Practice
34 Version 1.0
Outcome 3.5 Round numbers less than 1000 to the nearest 100
Name Date achieved
1 Look at the grid of numbers.
340 385 445 478 493
513 536 545 553 565
Shade in the numbers that would round to 500 when rounding to the nearest 100
2 Look at the grid of numbers.
745 751 770 809 825
849 852 860 871 882
Shade in the numbers that would round to 800 when rounding to the nearest 100
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 1 - PROPERTIES OF NUMBER
Version 1.0 35
3 Each of the following numbers are rounded to the nearest 100
Join the numbers to their answers.
The first one has been done for you.
Number Rounded to the nearest 100
156 700
657 800
596 600
778 200
924 900
259 300
4 Round each of the following numbers to the nearest 100
(a) 514 __________ (b) 692 __________
(d) 877 __________ (c) 585
__________
(e) 892 __________ (f) 362
__________
Practice
36 Version 1.0
Outcome 3.6 Find 10 or 100 more or less than a given number
Name Date achieved
1 Complete the following
(a) 10 more than 58 is _________ (b) 10 more than 452 is _________
(c) 10 less than 617 is _________ (d) 10 less than 301 is _________ 2 Complete the following
(a) 100 more than 867 is _________ (b) 100 more than 589 is _________
(c) 100 less than 217 is _________ (d) 100 less than 348 is _________ 3 Complete the following
(a) _________ is 10 more than 789
(b) _________ is 100 more than 865
(c) _________ is 100 less than 563
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 1 - PROPERTIES OF NUMBER
Version 1.0 37
4 Four friends are saving up for a hoilday.
Shaun saved £10 more than Leah
Liz saved £100 more than Miriam
Complete the cards to show how much each person saved.
Leah
£ 442
Miriam
£ 402
Shaun
£ __________
Liz
£ __________
Practice
38 Version 1.0
Outcome 3.7 Recognise and use multiples of 2, 3, 4, 5, 8, 10, 50 and 100
Name Date achieved
1 Shade in the multiples of 3
9 10 11 12 13 14
15 16 17 18 19 20
21 22 23 24 25 26
27 28 29 30 31 32
2 Shade in the multiples of 4
7 8 9 10 11 12 13
14 15 16 17 18 19 20
21 22 23 24 25 26 27
28 29 30 31 32 33 34
3 Shade in the multiples of 8
16 17 18 19 20 36 37 38 39 40
21 22 23 24 25 41 42 43 44 45
26 27 28 29 30 46 47 48 49 50
31 32 33 34 35 51 52 53 54 55
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 1 - PROPERTIES OF NUMBER
Version 1.0 39
4 Look at the list of numbers.
13 26 135 266 309
Which number is a multiple of 5?
_________________
5 Look at the list of numbers.
45 50 110 150 201 300 450 550 700
(a) Which of the numbers are mutiples of 100?
_________________ and _________________
(b) Which of the numbers are multiples of 50?
_________________________________________________________________
(c) Which of the numbers is not a multiple of 5?
_________________
Practice
40 Version 1.0
Component 2 The four operations
Outcome 1.1 Add two whole numbers with a total up to 20
Name Date achieved
1 Work out these sums
(a) 7 + 1 = ________ (b) 6 + 0 = ________
(d)
6 + 5 = ________ (c)
8 + 3 = ________
(e)
9 + 7 = ________ (f)
9 + 9 = ________
(g)
15 + 4 = ________ (h)
17 + 3 = ________
(i)
16 + 3 = ________ (j)
11 + 9 = ________
2 Helen has 8 sweets.
Paul has 7 sweets.
How many sweets do they have altogether?
_________________________
3 (a) What is the sum of 5 and 8? ___________________________
(b) What is the sum of 7 and 9? ___________________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 2 - THE FOUR OPERATIONS
Version 1.0 41
4 Look at the counters.
(a) Which two counters have a total of 14?
(b) Which two counters have a total of 15?
5 Is this statement true or false?
4 + 9 = 10 + 3 Tick your answer.
True False
3 6 8 10 12
Practice
42 Version 1.0
Outcome 1.2 Subract one number up to 20 from another
Name Date achieved
1 Work out these sums
(a) 6 1 = ________ (b) 5 0 = ________
(d)
5 4 = ________ (c)
7 3 = ________
(e)
9 5 = ________ (f)
9 9 = ________.
(g)
15 6 = ________ (h)
17 4 = ________
(i)
18 7 = ________ (j)
11 9 = ________.
2 (a) Subtract 2 from 10 ___________________________
(b) Subtract 4 from 15 ___________________________
3 (a) Work out the difference between 9 and 14 ___________________________
(b) Work out the difference between 12 and 19 ___________________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 2 - THE FOUR OPERATIONS
Version 1.0 43
4 I have 10 sweets and I eat 6.
How many have I got left?
___________________________
5 Dan wants to raise £20 for charity.
His sponsored walk raised £14.
How much more does he need to get to £20?
___________________________
6 Aden has £17 and Julie has £9
How much more does Aden have than Julie?
___________________________
Practice
44 Version 1.0
Outcome 1.3 Understand and use the + and signs to solve simple number
problems
Name Date achieved
1 Fill in the missing numbers.
(a) 4 + ________ = 7 (b) 5 + ________ = 10
(c) 9 + ________ = 13 (d) 5 + ________ = 17
(e) ________ + 6 = 9 (f) ________ + 3 = 9
(g) ________ + 8 = 17 (h) ________ + 11 = 19
2 Write the missing signs in the boxes.
Use + or
9 4 = 13
7 8 = 15
12 9 = 3
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 2 - THE FOUR OPERATIONS
Version 1.0 45
3 Put the correct signs in these sums to give the answers shown
(a) 16 ________ 3 = 19 (b) 12 ________ 2 = 14
(c) 11 ________ 4 = 7 (d) 9 ________ 9 = 0
(e) 17 ________ 14 = 3 (f) 14 ________ 6 = 20
Practice
46 Version 1.0
Outcome 2.1 Add whole numbers with a total up to 100
Name Date achieved
1 Work out
(a) 34 + 3 = _________
(b) 53 + 7 = _________
(c) 67 + 7 = _________
(d) 77 + 9 = _________
2 Work out
(a) 30 + 20 = _________
(b) 50 + 30 = _________
(c) 60 + 20 = _________
(d) 70 + 30 = _________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 2 - THE FOUR OPERATIONS
Version 1.0 47
3 Work out
(a) 5 4 +
(b) 6 2 +
2 6 3 8
(c) 2 5 +
(d) 3 8 +
3 4 3 3
(e) 7 8 +
(f) 6 6 +
2 1 2 7
4 What is the total of 36, 13 and 32?
___________________________
Practice
48 Version 1.0
Outcome 2.2 Subract one number up to 100 from another
Name Date achieved
1 Work out
(a) 26 2 = _________
(b) 42 5 = _________
(c) 56 5 = _________
(d) 67 9 = _________
2 Work out
(a) 30 25 = _________
(b) 60 32 = _________
(c) 70 26 = _________
(d) 80 38 = _________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 2 - THE FOUR OPERATIONS
Version 1.0 49
3 Work out
(a) 5 7 (b) 5 1
2 5 2 8
(c) 3 5 (d) 3 8
3 2 2 2
(e) 8 9 (f) 8 8
3 3 3 7
4 Work out the difference between 36 and 84
___________________________
Practice
50 Version 1.0
Outcome 2.3 Multiply using single digit whole numbers
Name Date achieved
1 Work out
(a) 2 lots of 2 _____________
(b) 3 lots of 4 _____________
(c) 4 lots of 5 _____________
(d) 9 lots of 7 _____________
2 Work out
(a) 2 × 3 = _________
(b) 2 × 5 = _________
(c) 3 × 5 = _________
(d) 5 × 6 = _________
(e) 8 × 4 = _________
(f) 7 × 5 = _________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 2 - THE FOUR OPERATIONS
Version 1.0 51
3 Fill in the missing numbers.
(a) 8 + 8 + 8 = 3 × __________
(b) 6 + 6 + 6 + 6 = 4 × __________ (c) 7 + 7 = __________ × 7 4 Fill in the blank squares.
3 4 6 4 5 2
2 6 8 6 12
3 12 18 3 12 15
4 16 7 35
5 Complete these square tables.
4 7 9 5 3 2
5 4
8 6
3 8
Practice
52 Version 1.0
Outcome 2.4 Use and interpret +, , × and = in real-life situations to
solve problems
Name Date achieved
1 I have 3 packets of sweets.
There are 8 sweets in a packet.
How many sweets have I got altogether?
__________________________ sweets
2 I have 7 pairs of socks.
How many socks have I got altogether?
__________________________ socks
3 A CD case holds 10 CDs.
I have 6 cases full of CDs.
How many CDs have I got altogether?
__________________________ CDs
4 There are 6 eggs in a box.
I have 2 boxes in my fridge.
How many eggs have I got?
__________________________ eggs
5 A film on the internet is 79 minutes long.
So far Alex has watched 53 minutes of the film.
How many minutes does he still have left to watch?
__________________________ minutes
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 2 - THE FOUR OPERATIONS
Version 1.0 53
6 The counters below have a total of 100
What is the value of the blank counter?
__________________ 7 I think of a number and add 5
My answer is less than 10
What could my number have been?
__________________
8 Sharon is planning a BBQ for 27 people.
Burgers can be bought in boxes of 5, 3 or 2.
How can Sharon buy exactly 27 burgers?
__________________ boxes of 5 burgers
__________________ boxes of 3 burgers
__________________ boxes of 2 burgers
10 46
23
Practice
54 Version 1.0
Outcome 2.5 Recall and use multiplication facts for the 2, 5 and 10
multiplication tables
Name Date achieved
1 Shade in the answers in the grid.
(a) 2 × 5 (b) 2 × 3
(c) 2 × 6 (d) 2 × 7
(e) 2 × 9 (f) 2 × 10
2 Shade in the answers in the grid.
(a) 2 × 5 (b) 5 × 3
(c) 4 × 2 (d) 5 × 5
(e) 2 × 9 (f) 3 × 10
8 10 13 18
9 12 25 28
30 17 21 14
19 32 15 6
8 10 13 18
9 12 25 28
20 17 21 14
19 32 15 6
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 2 - THE FOUR OPERATIONS
Version 1.0 55
3 Complete the multiplication grid.
4 5 7 8
2
5
10
4 Fill in the missing numbers.
(a) 5 × _________ = 15
(b) 10 × _________ = 70
(c) _________ × 4 = 20
(d) _________ × 12 = 24
Practice
56 Version 1.0
Outcome 3.1 Add and subtract using 3 digit numbers
Name Date achieved
1 Work out
(a) 3 3 1 + (b) 2 6 1
+
3 1 7 3 2 5
(c) 6 3 5 + (d) 7 2 8
+
3 2 5 2 2 2
2 Work out
(a) 3 5 7 (b) 4 2 9
1 2 5 3 2 8
(c) 4 3 5 (d) 4 3 8
1 3 6 2 2 9
3 400 take away 175
____________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 2 - THE FOUR OPERATIONS
Version 1.0 57
4 What is the difference between 109 and 237
______________
5 Work out the answers to:
(a) 312 + 462 = ____________
(b)105 + 214 = ____________
(c)
205 + 577 = ____________ (d)
560 + 273 = ____________
(e)
178 + 753 = ____________ (f)
674 + 189 = ____________
(g)
256 130 = ____________ (h)
864 353 = ____________
(i)
890 437 = ____________ (j)
702 161 = ____________
(k)
523 347 = ____________ (l)
700 169 = ____________
(m) Add 653 to 152
____________
(n) From 925 take 208
____________
Practice
58 Version 1.0
Outcome 3.2 Multiply a two digit whole number by a single digit whole number
Name Date achieved
Fill in the spaces in these sums:
Use the space for any working out. 1
20 × 3 = ____________ 2
40 × 7 = ____________
3
2 × 34 = ____________ 4
42 × 5 = ____________
5
31 × 9 = ____________ 6
24 × 8 = ____________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 2 THE FOUR OPERATIONS
Version 1.0 59
7 A case holds 10 DVDs.
I have 6 cases full of DVDs.
How many DVDs have I got altogether?
___________________________ DVDs
8 There are 12 pencils in a box.
How many pencils are in 9 boxes?
___________________________ pencils
9 There are 6 eggs in a box.
How many eggs are in 18 boxes?
___________________________ eggs
10 A bus holds 48 passengers.
How many passengers are on 3 buses?
___________________________ passengers
11 I have 16 pairs of socks.
How many socks have I got altogether?
___________________________ socks
Practice
60 Version 1.0
Outcome 3.3 Divide a two digit whole number by a single digit whole number
Name Date achieved
1 Work out (a)
24 ÷ 4 = ____________ (b)
40 ÷ 5 = ____________
(c)
21 ÷ 7 = ____________ (d)
27 ÷ 3 = ____________ (e)
54 ÷ 3 = ____________ (f)
72 ÷ 6 = ____________
2 Fill in the missing numbers
(a) _________ ÷ 4 = 12
(b) _________ ÷ 3 = 21
(c) _________ ÷ 3 = 12
(d) _________ ÷ 5 = 15
3 A box of 35 pens is shared out equally between 7 teachers.
How many pens will each teacher have?
____________ pens
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 2 - THE FOUR OPERATIONS
Version 1.0 61
4 What is the remainder when 38 is divided by 6?
____________
5 Stamps are sold in books of 6
Adam needs 16 stamps.
(a) How many books will he need to buy? ____________ books
(b) How many spare stamps will he have left? ____________ stamps
Practice
62 Version 1.0
Outcome 3.4 Use and interpret +, , ×, ÷ and = in real-life situations to
solve problems
Name Date achieved
1 I think of a number and add 5
My answer is less than 10
What could my number have been?
_________________
2 Carl has 5 packets of football stickers.
In each packet there are 6 stickers.
How many football stickers does Carl have altogether?
_________________ football stickers
3 Danny has 24 marbles.
He gives 8 of them to Lee.
He buys 12 more marbles.
How many marbles does Danny have now?
_________________. marbles
4 24 people are on a bus.
At the bus stop 12 people get off and 7 get on.
How many people are on the bus now?
_________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 2 - THE FOUR OPERATIONS
Version 1.0 63
5 At the start of the day there are 652 books in the library.
During the day 212 books are returned and 325 are taken out.
How many books are in the library at the end of the day?
______________________________________________________________________
______________________________________________________________________
6 Lauren is trying to raise £1000 for charity.
So far she has raised £578
She raises £198 more doing a sponsored swim.
How much more does she need to reach her target of £1000?
______________________________________________________________________
______________________________________________________________________
7 Connor pays £268 for 20 computer games.
He sells each game for £15
How much profit has he made?
______________________________________________________________________
______________________________________________________________________
Practice
64 Version 1.0
Outcome 3.5 Use inverse operations to find missing numbers
Name Date achieved
1 Fill in the missing numbers.
(a) _________ + 206 = 777
(b) _________ + 378 = 863
(c) 317 _________ = 123
(d) 522 _________ = 436
2 What number must be added to 196 to get 864?
______________________________________________________________________
______________________________________________________________________
3 Fill in the missing numbers.
(a) _________ × 6 = 66
(b) 20 × _________ = 240
(d) 36 ÷ _________ = 6
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 2 - THE FOUR OPERATIONS
Version 1.0 65
4 The difference between two numbers is 148
If the smaller of the two numbers is 342 what is the other number?
______________________________________________________________________
______________________________________________________________________
5 Fill in the missing numbers.
(a) 465 + _________ 240 = 475
(b) 589 + _________ 362 = 546
(c) 765 _________ + 120 = 465
(d) 485 _________ + 236 = 587
Practice
66 Version 1.0
Outcome 3.6 Estimate the answer to a calculation
Name Date achieved
These questions are about estimating answers.
1 For each problem circle the best estimate for the answer.
(a) 33 + 29 40 60 80
(b) 72 21 20 40 50
(c) 103 - 79 40 30 20
(d) 204 62 120 130 140
2 If you spend 43 p using £ 1, would you have about 60 p, 20 p or 70 p left?
____________________
3 What is the best estimate to 59 p + 38 p + 98 p
Tick your answer.
£1 £2 £3
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 2 - THE FOUR OPERATIONS
Version 1.0 67
4 If you buy 2 DVDs for £ 7.99, would you spend about
Tick your answer
£14 £16 £18
5 You have £ 20 and spend £ 2.10 in one shop and £ 3.70 in another shop.
Put a circle around the best estimate for the amount you have left.
£ 14 £ 15 £ 16
6 Put a circle around the best estimate 133 109
30 20 10
7 Which of these sums gives an estimate of 150?
Circle your answer.
162 32 198 46 183 18
8 I have three £ 20 notes and spend £ 8.99
Would I have about £ 10, £ 30 or £ 50 left?
____________________
Practice
68 Version 1.0
Outcome 3.7 Recall and use multiplication facts for the 3, 4 and 8 multiplication tables
Name Date achieved
1 Shade in the answers in the grid.
(a) 8 × 2 (b) 3 × 6 (c) 4 × 5 (d) 4 × 7 (e) 3 × 8 (f) 4 × 10 2 Shade in the answers in the grid.
(a) 4 × 6 (b) 5 × 8 (c) 3 × 5 (d) 8 × 4 (e) 2 × 4 (f) 3 × 10
40 10 36 18
16 12 24 28
30 17 21 13
19 32 15 8
16 10 13 18
22 12 25 24
20 17 28 14
36 32 21 40
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 2 - THE FOUR OPERATIONS
Version 1.0 69
3 Complete the multiplication grid.
6 7 8 9
3
4
8
4 Fill in the missing numbers.
(a) 8 × _________ = 48
(b) 10 × _________ = 40
(c) _________ × 4 = 32
(d) _________ × 4 = 28
Practice
70 Version 1.0
Component 3 Ratio
Outcome 1.1 Understand equality
Name Date achieved
1 Tick the statements that are correct.
(a) 6 + 1 = 2 + 5 (b) 5 + 3 = 4 + 2
(c) 7 5 = 9 8 (d) 8 4 = 9 5
(e) 8 3 = 2 + 3 (f) 7 3 = 2 + 3
2 Fill in the missing numbers.
(a) 4 + ________ = 7 + 2 (b) 5 + 6 = ________ + 10
(c) 6 + ________ = 9 + 2 (d) 9 + 4 = ________ + 6
3 Fill in the missing numbers.
(a) 10 ________ = 9 2 (b) 9 4 = ________ 6
(c) 19 ________ = 17 2 (d) 15 6 = ________ 8
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 3 - RATIO
Version 1.0 71
4 Fill in the missing numbers.
(a) 11 + 3 = 7 + 2 + ________
(b) 18 + 2 = 8 + 2 + ________
(c) 19 2 = 9 + 2 + ________
Practice
72 Version 1.0
Outcome 1.2 Identify or show one half of a quantity up to 20
Name Date achieved
1 Circle the shapes that have one half shaded.
2 Shade in half of each shape.
3 Look at the counters below.
Shaun says, ‘Half of the counters are red.’
Is he correct? Show how you decide.
______________________________________________________________________
______________________________________________________________________
______________________________________________________________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 3 - RATIO
Version 1.0 73
4 Draw a ring around half the shapes in these boxes.
(a)
(b)
5 Look at the stars.
Tick the correct statement.
Half of the stars are black
Half of the stars have stripes
Practice
74 Version 1.0
Outcome 1.3 Work out half of an even number up to 20
Name Date achieved
1 Work out the following.
(a) Half of 6 = __________
(b) Half of 8 = __________
(c) Half of 10 = __________
(d) Half of 18 = __________
(e) Half of 16 = __________
2 Work out the following.
(a)
21 of 4 = __________
(b) 21 of 14 = __________
(c) 21 of 20 = __________
(d) 21 of 12 = __________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 3 - RATIO
Version 1.0 75
3 Katie has 16 doughnuts.
She sells half of them.
How many doughnuts does Katie sell?
______________________________________________________________________
______________________________________________________________________
4 Rick has 14 football cards.
He gives half of them to Robin.
How many football cards does Rick have left?
______________________________________________________________________
______________________________________________________________________
5 Matt thinks of a number.
Half of his number is 9
What number was he thinking of?
______________________________________________________________________
______________________________________________________________________
Practice
76 Version 1.0
Outcome 2.1 Identify or show one third or one quarter of a quantity up to 24
Name Date achieved
1 Shade in one third of each shape.
2 Shade in one quarter of each shape.
3 Look at the counters below.
Circle the correct word.
One third / A quarter of the counters are red.
4 Colour one quarter of the hearts.
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 3 - RATIO
Version 1.0 77
5 Circle one third of the fish.
6 What fraction of the apples are not red?
____________________________________________________________________
Practice
78 Version 1.0
Outcome 2.2 Work out one third or one quarter of a number up to 24
Name Date achieved
1 Work out
(a) One third of 9 = _________
(b) One third of 18 = _________
(c) One quarter of 12 = _________
(d) One quarter of 20 = _________
2 Work out
(a)
31 of 6 = _________
(b) 31 of 15 = _________
(c) 41 of 24 = _________
(d) 41 of 40 = _________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 3 - RATIO
Version 1.0 79
3 Gareth has 9 sweets.
He gives one third of them to Paul.
How many sweets does he give Paul? ___________________________
4 Daisy has 20 cakes.
She sells one quarter of them.
How many cakes does she sell? ___________________________
5 Molly has 12 stamps.
She uses one third of them.
How many stamps does she use? ___________________________
Practice
80 Version 1.0
Outcome 2.3 Count in fractions of one half or one third or one quarter
Name Date achieved
1 Look at the patterns below.
Draw the next picture.
(a)
(b)
(c)
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 3 - RATIO
Version 1.0 81
2 Work out the next number in each pattern.
(a) 121 2 2
21 3 _________
(b) 3
43 4 4
41 4
21
_________
3 Fill in the missing number in each pattern
(a) 541
_________ 543
_________
(b) 2
31 2
32 3 3
31
_________
Practice
82 Version 1.0
Outcome 2.4 Work out amounts of 2, 3 or 4 times the size of a given amount
Name Date achieved
1 Complete the table to show the double of each number.
The first one has been done for you.
Double the number
4 8
8
12
35
47
2 Emma raised £22 for charity.
Claire raised twice as much.
How much did Claire raise?
__________________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 3 - RATIO
Version 1.0 83
3 Harry has 6 computer games.
(a) Andy has three times as many as Harry.
How many computer games does Andy have?
__________________________
(b) Wendy has four times as many as Harry.
How many computer games does Wendy have?
__________________________
4 Fill in the missing numbers.
(a) £32 is _________ times as much as £16
(b)
£20 is _________ times as much as £5
(c)
£48 is _________ times as much as £12
Practice
Version 1.0
Outcome 2.5 Recognise the equivalence of 21 and
42
Name Date achieved
1 Look at the shapes
(a) Shade in 21 of each shape.
(b) Shade in 42 of each shape.
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 3 - RATIO
Version 1.0 85
2 Decide which of the following are true / false.
Tick the correct box.
(a) One half of this shape is shaded True False
(b) One half of this shape is shaded True False
3 Fill in the missing number.
42
21
Practice
86 Version 1.0
Outcome 3.1 Identify or show unit fractions up to one tenth of a quantity
up to 100
Name Date achieved
1 Shade in
(a) One eighth
(b) One fifth
(c) One tenth
2 Look at the counters
Circle the correct word.
One sixth / One fifth of the counters are shaded.
3 Look at cards
Circle the correct word.
One fifth / One tenth of the cards are patterned.
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 3 - RATIO
Version 1.0 87
4 Colour in one eighth of the tiles
5 What fraction of the cards are shaded?
__________________________________
6 What fraction of the cats are black?
__________________________________
Practice
88 Version 1.0
Outcome 3.2 Work out unit fractions to one tenth of a number up to 100
Name Date achieved
1 Work out
(a) One fifth of 50 = __________________________________
(b) One eight of 72 = __________________________________
(c) One ninth of 36 = __________________________________
(d) One tenth of 100 = __________________________________
2 Work out
(a) 51 of 40 = __________________________________
(b) 101 of 80 = __________________________________
(c) 61 of 54 = __________________________________
(d) 81 of 56 = __________________________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 3 - RATIO
Version 1.0 89
3 Jenny has a pack of 36 Christmas cards.
She sends one third of them to friends.
How many Christmas cards does she send?
___________________________ Christmas cards
4 Tim has 60 raffle tickets.
He sells one tenth of them.
How many raffle tickets does he sell?
___________________________ raffle tickets
5 There are 24 eggs in a box.
One sixth of them are brown and the rest are white.
How many eggs are brown?
___________________________ brown eggs
Practice
90 Version 1.0
Outcome 3.3 Identify or show any number of thirds, quarters, fifths or tenths
of a quantity
Name Date achieved
1 Shade in
(a) four tenths
(b) two fifths
(c) One third
2 Shade in two quarters of the counters.
3 Shade in two thirds of the tiles.
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 3 - RATIO
Version 1.0 91
4 What fraction of the cards are shaded?
__________________________________
5 What fraction of the hens are black?
__________________________________
Practice
92 Version 1.0
Outcome 3.4 Work out any number of thirds, quarters, fifths and tenths of
an amount
Name Date achieved
1 Work out
(a) One fifth of 45 = __________________________________
(b) Seven tenths of 70 = __________________________________
(c) Two thirds of 60 = __________________________________
(d) Three quarters of 36 = __________________________________
2 Work out
(a) 53 of 40 = __________________________________
(b) 108 of 80 = __________________________________
(c) 32 of 36 = __________________________________
(d) 42 of 72 = __________________________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 3 - RATIO
Version 1.0 93
3 Jorel has £90.
He spends two thirds of his money.
How much does Jorel spend?
£ _______________________
4 Emma has 60 badges.
She gives two fifths of them away.
How many badges does she give away?
_______________________ badges
Practice
94 Version 1.0
Outcome 3.5 Recognise and identify equivalent fractions
Name Date achieved
1 Circle the fractions that are equivalent to 21
126
62
84
93
85
2 Circle the fractions that are equivalent to 31
53
62
93
97
84
3 Circle the fractions that are equivalent to 41
62
82
123
124
145
4 Fill in the missing numbers to make the fractions equivalent.
(a) 62
= 12
(b) 84
= 2
(c) 32
= 12
(d) 41
= 20
(e) 31
= 15
(f) 21
= 10
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 3 - RATIO
Version 1.0 95
5 Fill in the missing numbers to make the fractions equivalent.
(a) 21
= 6
(b) 21
= 2
(c) 31
= 4
(d) 41
= 4
(e) 31
= 3
(f) 41
= 6
Practice
96 Version 1.0
Outcome 3.6 Add and subtract fractions with the same denominator within
one whole
Name Date achieved
1 Work out
(a) 61
+ 62
= 6
(b) 31
+ 32
= 3
(c) 51
+ 53
= 5
(d) 82
+ 83
= 8
(e) 64
+ 61
= 6
(f) 128
+ 123
= 12
2 Work out
(a) 65
62
= 6
(b) 32
31
= 3
(c) 54
53
= 5
(d) 86
83
= 8
(e) 63
61
= 6
(f) 128
124
= 12
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 3 - RATIO
Version 1.0 97
3 Work out
(a) 74
+ 72
= 7
(b) 72
73
= 7
(c) 52
51
= 5
(d) 87
83
= 8
(e) 107
+ 62
= 10
(f) 129
124
= 12
Practice
98 Version 1.0
Outcome 3.7 Work out amounts 5, 8 or 10 times the size of a given amount
Name Date achieved
1 Work out 5 times the following amounts
(a) 5 ______________________
(b) 8 ______________________
(c) 12 ______________________
(d) 30 ______________________
2 Work out 10 times the following amounts
(a) 6 ______________________
(b) 26 ______________________
(c) 32 ______________________
(d) 56 ______________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 3 - RATIO
Version 1.0 99
3 Work out 8 times the following amounts
(a) 5 ______________________
(b) 22 ______________________
(c) 31 ______________________
(d) 42 ______________________ 4 Mike sends 20 texts.
His friend Tony sends five times as many texts.
How many texts does Tony send?
_______________________ texts
5 Claire raises £52 in a sponsored run.
Liz raises ten times as much as Claire.
How much does Liz raise?
£ _______________________
Practice
100 Version 1.0
Component 4 Money
Outcome 1.1 Recognise coins and notes up to £20
Name Date achieved
1 Match the coins to their correct value.
The first one has been done for you.
£2
20p
1p
10p
2p
50p
5p
£1
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 4 - MONEY
Version 1.0 101
2 Match the notes to their correct value.
£20
£10
£5
Practice
102 Version 1.0
Outcome 1.2 Exchange money up to 20p for an equivalent amount in other
denominations
Name Date achieved
1 Shade in the coins needed to make the total shown.
(a)
3p
(b)
5p
(c)
9p
(d)
7p
(e)
10p
(f)
8p
(g)
6p
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 4 - MONEY
Version 1.0 103
2 You have lots of each of these coins.
Show how to make the following amounts in 2 different ways.
(a) 5 p = _________________________ or _________________________
(b) 8 p = _________________________ or _________________________
(c) 15 p = _________________________ or _________________________
(d) 18 p = _________________________ or _________________________
(e) 20 p = _________________________ or _________________________
Practice
104 Version 1.0
Outcome 1.3 Add up to 20 coins
Name Date achieved
1 Work out the total of the following lists of coins.
(a)
__________________________________________________________________ (b)
__________________________________________________________________ (c)
__________________________________________________________________ (d)
__________________________________________________________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 4 - MONEY
Version 1.0 105
2 Jane has these coins in her purse.
How much money does she have?
_________________
3 Abdul has these coins in his pocket.
What is the total value of his money?
_________________
4 Naz has these coins.
What is the total value of her money?
_________________
Practice
106 Version 1.0
Outcome 2.1 Appreciate the purchasing power of an amount of money (coins)
Name Date achieved
1 For each statement decide whether it is true or false.
Circle your answer.
(a)
is enough to buy a computer game True False
(b)
is enough to buy a music DVD True False
(c)
is enough to buy a laptop True False
(d)
is enough to buy a plasma television True False
(e)
is enough to buy a new motorbike True False
(f)
is enough to buy a packet of crisps True False
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 4 - MONEY
Version 1.0 107
2 I have a £2 coins, two 10p coins and two 5p coins, do I have enough to buy a banana?
_________________
3 If had a £1 coin, four 50p coins and a 20p coin, would I have enough to buy a new bike?
_________________ 4 I have a £5 coin, two 50p coins and ten 20p coins, do I have enough to buy a small car?
_________________
Practice
108 Version 1.0
Outcome 2.2 Convert pence to pounds and vice versa
Name Date achieved
1 Change these pounds into pence. For example £ 1.24 is 124p
(a) £2.00 = _________________ p (b) £2.50 = _________________ p
(c) £1.40 = _________________ p (d) £3.60 = _________________ p
(e) £4.75 = _________________ p (f) £5.42 = _________________ p
(g) £0.10 = _________________ p (h) £0.02 = _________________ p 2 Change these pence into pounds and pence For example 124 p is £ 1.24
(a) 100 p = £ _________________ (b) 500 p = £ _________________
(c) 210 p = £ _________________ (d) 302 = £ _________________
(e) 8 p = £ _________________ (f) 5 p = £ _________________
(g) 600 p = £ _________________ (h) 1219 p = £ _________________ 3
How many pence is £ 2.50? _________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 4 - MONEY
Version 1.0 109
4 How many pence is £ 8.40? _________________
5 Write 423 p in £ and pence. _________________ 6 Write 670 p in £ and pence. _________________
Practice
110 Version 1.0
Outcome 2.3 Make amounts of money up to £2 from given coins
Name Date achieved
1 Shade in the coins to give the total given.
(a) £1.52
(b) £1.21
(c) £1.67
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 4 - MONEY
Version 1.0 111
2 Use 50 p, 20 p, 10 p and 5 p coins to show 3 different ways to make 60 p.
(a) __________________________________________________________________
(b)
__________________________________________________________________
(c)
__________________________________________________________________ 3 Use 20 p, 10 p, 5 p and 2 p coins to show 3 different ways to make 74 p.
(a) __________________________________________________________________
(b)
__________________________________________________________________
(c)
__________________________________________________________________ 4 Show how you can make £1.25 using only 20 p, 10 p, 2 p and 1p coins.
__________________________________________________________________
5 Show how you can make £1.95 using only 50p, 10p and 5p coins.
__________________________________________________________________
Practice
112 Version 1.0
Outcome 2.4 Make amounts of money in multiples of £5 from £5, £10 and £20 notes
Name Date achieved
1 Circle the notes you would need to make £55
2 Show 2 different ways of making £115 using £20, £10, and £5 notes.
_____________________________________________________________________
_____________________________________________________________________ 3 Show 3 different ways of making £120 using £20, £10 and £5 notes.
______________________________________________________________________
______________________________________________________________________
______________________________________________________________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 4 - MONEY
Version 1.0 113
4 How can you make £30 using notes?
_____________________________________________________________________
5 How can you make £65 using notes?
_____________________________________________________________________
6 How can you make £105 using notes?
_____________________________________________________________________
7 How can you make £135 using notes?
_____________________________________________________________________
Practice
114 Version 1.0
Outcome 2.5 Calculate with amounts of money in pence up to £1 and whole
pounds up to £100 and give change.
1 Look at the items below:
Pen Eraser Pencil Ruler Pencil sharpener
34p 12p 22p 55p 45p
Complete the table below.
Total cost Change from £1
Pen and pencil ________________ ________________
Pencil and eraser ________________ ________________
Ruler and pencil sharpener ________________ ________________
2 pens and a pencil ________________ ________________
Ruler and pen ________________ ________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 4 - MONEY
Version 1.0 115
2 Danny, Carl and Lisa go to the zoo.
Carl buys tickets for all of them.
(a) How much does he pay?
£ ___________________
(b) How much change will he get if he pays with a £20 note?
£ ___________________
3 Look at these items.
(a) Calculate the cost of the items.
£ ___________________
(b) How much change would you get from a £50 note
£ ___________________
TICKETS £6.00
£ 9.00 £ 22.00 £ 17.00
Practice
1
116 Version 1.0
Outcome 3.1 Appreciate the purchasing power of amounts of money (notes)
Name Date achieved
1 For each statement decide whether it is true or false.
Circle your answer.
(a)
is enough to buy a cinema ticket True False
(b)
is enough to pay for a holiday abroad True False
(c)
is enough to buy a magzine True False
(d)
is enough to buy a bottle of milk True False
(e)
is enough to buy a house True False
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 4 - MONEY
Version 1.0 117
2 I have a £5, do I have enough to buy an orange?
_________________
3 If had a £20 note, two £10 notes and a £5, would I have enough to buy a bunch of flowers?
_________________ 4 I have five £20 notes and two £5 notes, do I have enough to buy a new motorbike?
_________________
Practice
1
118 Version 1.0
Outcome 3.2 Exchange notes for an equivalent value in coins
Name Date achieved
1 Shade in the coins to give the total given.
(a) £10
(b) £15
2 Show 2 different ways of making £12 with coins.
_____________________________________________________________________
_____________________________________________________________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 4 - MONEY
Version 1.0 119
3 Show 3 different ways of making £15 using coins.
______________________________________________________________________
______________________________________________________________________
______________________________________________________________________ 4 George needs to put exactly £15 into a parking machine to pay for a ticket.
So far he has put the following coins into the machine.
List the extra coins he could use to bring the total to £15.
______________________________________________________________________
______________________________________________________________________
Practice
120 Version 1.0
Outcome 3.3 Use decimal notation for money
Name Date achieved
1 Look at the list below.
Tick the amounts that are written using the correct decimal notation.
£5.65p £7.37 £11.3 £18.90 £9.05p
2 Write the following amounts of money using the correct notation.
(a) £1.45p _________________ (b) £5.76p _________________
(b) £8.50p _________________
(d) £5.10p _________________ (e) £3.99p _________________
(f) £7.04p _________________ (g) £00.60p _________________
(h) £12.0p _________________ (i) £17.11p _________________
(j) £99.09p _________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 4 - MONEY
Version 1.0 121
3 Write the following amounts of money using the correct notation.
(a) £1.4 _________________ (b) £5.7 _________________
(c) £8.5 _________________
(d) £5.1 _________________ (e) £03.99 _________________
(f) £07.4 _________________ (g) £11.6 _________________
(h) £12.0 _________________ (i) £21.5 _________________
(j) £22.9 _________________
Practice
122 Version 1.0
Outcome 3.4 Interpret a calculator display
Name Date achieved
1 Join the calculator display to the money they show.
£0.03
£6.50
£9.96
£0.50
£9.60
6.5
9.6
0.5
0.03
9.96
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 4 - MONEY
Version 1.0 123
2 Write down the money shown on the following calculator displays.
(a)
______________________________________
(b)
______________________________________
(c)
______________________________________
(d)
______________________________________
4.76
49.49
50.50
100.02
Practice
124 Version 1.0
Outcome 3.5 Solve real life problems involving what to buy and how to pay
Name Date achieved
1 Zoe buys 2 DVDs costing £9.99 each.
(a) How much does she spend?
_________________
(b) Circle the notes she could use to pay for the CDs.
2 Eric Saved £5.15 every week for 6 weeks.
(a) How much money has he saved?
_________________
(b) How much more money does he need to by a console game costing £34.99
_________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 4 - MONEY
Version 1.0 125
3 Look at these items.
(a) Calculate the cost of the items.
£ _________________
(b) How much change would you get from a £50 note
£ _________________
4 A set of tennis balls costs £3.65
Victoria buys two sets.
(a) How much does she spend?
£ _________________
(b) She has one £5 note, two £1 coins and one 50p.
How much does she have left?
£ _________________
£ 9.00 £ 15.00 £ 22.00
Practice
126 Version 1.0
Outcome 3.6 Add amounts of money and give change
Name Date achieved
1 Kerry buys two jumpers for £16.50 each
(a) How much does she spend?
£ _________________
(b) She pays using two £20 notes.
How much change should she get?
£ _________________
2 Natasha has these notes.
Concert tickets are £15.99 each.
Natasha buys three.
How much money does she have left?
£ _________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 4 - MONEY
Version 1.0 127
3 Mary buys 2 chocolate bars for 35p each.
(a) What is the total cost?
_________________ p
(b) How much change should she get from a £1 coin?
_________________ p
4 Rory buys three computer games for £29.50 each and a new headset for £58.25
(a) How much does she spend altogeher?
£ _________________
(b) Rory pays with the following notes.
How much change should he get?
£ _________________
Practice
1
128 Version 1.0
Outcome 3.7 Carry out investigations involving money
Name Date achieved
1 Which of the following amounts could you make using exactly four coins?
Circle your answer.
(a) 9 p yes / no
(b)10 p yes / no
(c)
33p yes / no (d)
69 p yes / no
(e)
£1.07 yes / no (f)
£1.29 yes / no
2 Lauren has the following coins.
Circle the totals that she can make
29p 36p £1.07 £1.18 £1.39
3 Sue has 18 coins all of the same value.
She has a total of £9
Which coins does she have?
_____________________________________________________________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 4 - MONEY
Version 1.0 129
4 Tim is saving money for his holiday.
So far he has three £20 notes five £5 notes.
His target is to save £100
How much more does he need to save?
_____________________________________________________________________
_____________________________________________________________________
5 Each week Ben earns the following
Mowing the lawn £8.50
Car Washing £5.00
Extra Jobs £3.50
Ben saves all of the money he earns.
How many weeks will it take him to save £119?
_________________ weeks
Practice
130 Version 1.0
Component 5 The calendar and time
Outcome 1.1 Know the days of the week and their order
Name Date achieved
1 Circle the days of the week.
Monday Saturday Spring Friday Winter December
2 Circle the days that make up a weekend.
Friday Saturday Sunday Monday Tuesday Wednesday
3 Which day comes before Thursday?
_____________________________________ 4 Which day comes after Thursday
_____________________________________ 5 Which day comes before Sunday?
_____________________________________ 6 Which day comes after Tuesday?
_____________________________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 5 – THE CALENDAR AND TIME
Version 1.0 131
7 Complete the list to show the days of the week in order.
Monday
T ___________________________________
Wednesday
T ___________________________________
Friday
S ___________________________________
S ___________________________________
Practice
132 Version 1.0
Outcome 1.2 Read times to the hour or half hour on an analogue clock and
draw the hands on the clock to show these times
Name Date achieved
1 Write down the time shown on these clocks.
(a) (b)
________________________________
________________________________
(c) (d)
_______________________________
________________________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 5 – THE CALENDAR AND TIME
Version 1.0 133
2 Draw the hands on the clock faces to show the times.
(a) 03:00 (b) 06:00
(c) 02:30 (d) 11:30
Practice
134 Version 1.0
Outcome 1.3 Order familiar events
Name Date achieved
1 Here are some things that Ann does in a day and the time when she does them.
Bedtime 10.00 pm
Breakfast 8.00 am
Lunchtime 12.30 am
Start of School
9.00 am
Fill in the gaps in the table.
Breakfast ________________
_______________________________ 9.00 am
_______________________________ 12.30 pm
Bedtime ________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 5 – THE CALENDAR AND TIME
Version 1.0 135
2 Look at these events.
Lee works from 9 am to 5 pm
(a) Which of these events would Lee do first?
_______________________________________________________________
(b) Which of these events would Lee do next after eating her lunch?
_______________________________________________________________
(c) Which of these events would be next after her afternoon coffee break?
_______________________________________________________________
3 Oliver is making a drink of orange.
Here are the things he needs to do.
A Pour some orange into a glass
B Take the top off the orange
C Get a glass
D Have a drink of the orange
Put the letters in the correct order.
The first one has been done for you.
C _______ _______ _______
Leaves work
Afternoon coffee break
Morning break
Eats lunch Cycles to work
Practice
136 Version 1.0
Outcome 2.1 Know the seasons and months and their order
Name Date achieved
1 Which season is missing?
autumn winter spring _______________________
2 Which season comes after winter?
_____________________________________
3 Which season comes before winter?
_____________________________________
4 Which season comes after spring?
_____________________________________
5 Which season comes after summer?
_____________________________________
6 Which month comes before October?
_____________________________________
7 Which month comes before August?
_____________________________________
8 Which month comes after October?
_____________________________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 5 – THE CALENDAR AND TIME
Version 1.0 137
9 Jane’s birthday is after September but before December.
What months could Jane’s birthday be in?
_________________________________ or _________________________________
10 Complete the list to show the seasons in order.
Winter
S ___________________________________
S ___________________________________
A ___________________________________
Practice
138 Version 1.0
Outcome 2.2 Know that 1 week = ? days; 1 day =3 hours; 1 hour = ? minutes 1 minute = ? seconds
1 Complete the following.
(a) 1 week = ____________ days (b) 3 weeks = ____________ days
(c) 4 weeks = ____________ days (d) 7 weeks = ____________ days
(e) 7 days = ____________ week (f) 14 days = ____________ weeks
2 Complete the following.
(a) 1 hour = ____________ minutes (b) 3 hours = ____________ minutes
(c) 120 seconds = ________minutes (d) 240 minutes = ____________ hours 3 Complete the following
(a) 1 day = ____________ hours (b) 4 days = ____________ hours
(c) 48 hours = ____________ days (d) 240 hours = ____________ days
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 5 – THE CALENDAR AND TIME
Version 1.0 139
4 Complete the following.
(a) 5 weeks = ____________ days
(b)
72 hours = ____________ days (c)
2 hours = ____________ minutes (d)
5 hours = ____________ minutes
(e) 240 seconds = ____________ minutes
(f) 2 minutes = ____________ seconds
Practice
140 Version 1.0
Outcome 2.3 Read the time displayed on an analogue or 12 hour digital clock
in hours, half hours and quarter hours and draw hands on a
clock or digital display to show these times
Name Date achieved
1 Write down the time shown on these clocks.
(a)
(b)
_______________________________ _______________________________
2 Draw the hands on the clock faces to show the times.
(a) Quarter past nine (b) Half past eleven
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 5 – THE CALENDAR AND TIME
Version 1.0 141
3 Show the times given on the digital watches on the clock faces below.
(a)
(b)
(c)
(d)
6 30
12 45 2 15
1 45
Practice
142 Version 1.0
Outcome 2.4 Read the time to the nearest five minutes on an analogue clock,
draw the hands on a clock to show the time, and read any time
on a digital clock
Name Date achieved
1 Write down the time shown on these clocks.
(a) (b)
_______________________________ _______________________________
2 Draw the hands on the clock faces to show the times.
(a) Five past three (b) Twenty five past four
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 5 – THE CALENDAR AND TIME
Version 1.0 143
3 Draw the hands on the clock faces to show the times.
(a) 09:35 (b) 11:55
4 Draw the hands on the clockfaces to show the times on the digital watches.
(a)
(b)
14 20 19 35
Practice
Version 1.0
Outcome 2.5 Find the difference between two times given in hours, half hours
and quarter hours
1 Calculate the difference between the two times shown.
(a)
______________________________________________________
(b)
______________________________________________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 5 – THE CALENDAR AND TIME
Version 1.0 145
2 Calculate the difference between the 2 times given.
(a) 11:30 to 12:15 _______________ minutes
(b) 01:45 to 02:30 _______________ minutes
(c) 06:45 to 07:30 _______________ minutes
(d) 03:30 to 04:30 _______________ hour
(e) 12:30 to 01:45 _______________ hour _______________ minutes
(f) 06:15 to 08:30 _______________ hours _______________ minutes
Practice
146 Version 1.0
Outcome 3.1 Solve problems involving time
Name Date achieved
1 Alex got on a train at 09.15
His journey lasted 45 minutes.
What time did Alex get off the train?
__________________________
2 A film lasts for 2 hours and 10 minutes.
If it starts at 7.30 pm what time will it finish?
__________________________
3 A pizza takes 35 minutes to cook.
Caroline puts it in the oven at 5.15 pm
What time will it be cooked?
__________________________
4 A concert starts at 7 o’clock.
It will end at half past nine.
How long does the concert last?
__________________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 5 – THE CALENDAR AND TIME
Version 1.0 147
5 Ann leaves to go to the airport at 3.00 pm.
The journey takes 90 minutes.
At what time does Ann arrive at the airport?
__________________________
6 Sam is uploading films to his movie player.
He has enough file space left for 2 hours 15 minutes.
Circle a film he could pick.
7 A film on TV lasts 2 hours and 45 minutes.
Howard is going out at 8.30 pm.
If he starts watching the film at 5.15 pm, will he have time to watch all of it?
Show how you decide.
_____________________________________________________________________
_____________________________________________________________________
Batman Begins 205 minutes
Transformers 140 minutes
Spy Kids 135 minutes
Twilight 130 minutes
Practice
148 Version 1.0
Outcome 3.2 Know number of days in a year or a leap year, number of months
in a year and number of full weeks in a year
Name Date achieved
1 Complete the following
(a) 12 months = ____________ year (b) 24 months = ____________ years
(c) 3 years = ____________ months (d) 5 years = ____________ months 2 Complete the following
(a) 1 year = ____________ days (b) 2 years = ____________ days
(c) 104 weeks = ____________ years (d) 156 weeks = ____________ years 3 Complete the following
There are ____________ days in a leap year. 4 Dena buys a new car on finance and agrees to pay for it over 60 months.
How many years will it take her to pay for her car?
_________________________
Practice
150 Version 1.0
Outcome 3.3 Use a calendar and write the date correctly (day / month / year)
Name Date achieved
1 Sunday 17th April 2016 can be written as 17/04/16
Complete the following dates.
(a) 20th May 2016 ___________ / ___________ / ___________
(b) 5th December 2016 ___________ / ___________ / ___________
(c) 29th November 2017 ___________ / ___________ / ___________
(d) 2nd February 2018 ___________ / ___________ / ___________
(e) 06/06/16 _______________________________________________________ (f) 22/11/17 _______________________________________________________ (g) 23/01/17 _______________________________________________________ (h) 02/02/20 _______________________________________________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 5 – THE CALENDAR AND TIME
Version 1.0 151
2 The calendar for October 2016 is shown below.
OCTOBER 2016
Monday Tuesday Wednesday Thursday Friday Saturday Sunday
1 2
3 4 5 6 7 8 9
10 11 12 13 14 15 16
17 18 19 20 21 22 23
24 25 26 27 28 29 30
31
(a) What was the date of the first Monday in October?
___________ / ___________ / ___________
(b) Zenon goes swimming every Sunday morning in October.
How many times did Zenon go swimming in October?
______________________
(c) Which day of the week was 19/10/16?
______________________________________
(d) Which day of the week was 27/10/16?
______________________________________
Practice
152 Version 1.0
Outcome 3.4 Tell and write the time from an analogue clock, including using
Roman numerals from I to XII
Name Date achieved
1 Write down the time shown on these clocks.
(a) (b)
____________________________ _____________________________
2 Draw the hands on the clock faces to show the times.
(a) Ten to eight (b) Six twenty five
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 5 – THE CALENDAR AND TIME
Version 1.0 153
3 Draw the hands on the clock faces to show the times.
(a) 02:05 07:55
Practice
154 Version 1.0
Outcome 3.5 Understand and use the 12 hour and 24 hour clock system and
convert from one system to the other
Name Date achieved
1 Write the following as 24 hour times
(a) 9:30 am _________________ (b) 12:30 pm _________________
(c) 2:30 pm _________________ (d) 8:20 pm _________________ `
(e) 4:30 am _________________ (f) 10:10 pm _________________
2 Write the following as 12 hour times (use am or pm)
(a) 18:30 _________________ (b) 10:20 _________________
(c) 11:40 _________________ (d) 05:20 _________________
(e) 22:20 _________________ (f) 00:40 _________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 5 – THE CALENDAR AND TIME
Version 1.0 155
3 Circle the correct time for each of the following
(a) Cliff works each evening.
He starts work at 08:00 / 20:00 (b) Juile works in a shop each Saturday morning.
She starts work at 09:15 / 21:15 (c) Barry delivers newspapers before school.
He starts work at 18:30 / 06:30
Practice
156 Version 1.0
Outcome 3.6 Convert between hours, minutes and seconds
Name Date achieved
1 Complete the following.
(a) 1 hour = ___________ minutes
(b) 3 hours = ___________ minutes
(c) 15 minutes = ___________ seconds
(d) 8 minutes = ___________ seconds
(e) 12 minutes = ___________ seconds
(f) 660 seconds = ___________ minutes
2 Complete the following.
(a) 140 seconds = ___________ minutes ___________ seconds
(b) 210 seconds = ___________ minutes ___________ seconds
(c) 300 minutes = ___________ hours ___________ minutes
(d) 430 minutes = ___________ hours ___________ minutes
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 5 – THE CALENDAR AND TIME
Version 1.0 157
3 Complete the following
(a) 1 hour 15 minutes = ___________ minutes
(b) 2 hours 20 minutes = ___________ minutes
(c) 3 minutes 45 seconds = ___________ seconds
(d) 5 minutes 10 seconds = ___________ seconds
4 It takes Ben 4 minutes 20 seconds to complete a puzzle.
It takes Helen 275 seconds to complete the puzzle.
Who has taken the longest time?
Show how you decided.
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
Practice
158 Version 1.0
Outcome 3.7 Add up to three lengths of time given in minutes and hours
Name Date achieved
1 Look at the TV listings for Channel 4.
(a) How long do ‘Come Dine with Me’, ‘The Simpsons’ and ‘Hollyoaks’ last altogether?
__________________________________________________________________
(b) How long do ‘Location, location, location’, Peter Kay: Live at the top of the tower’
and ‘24 hours in A & E’ last altogether?
__________________________________________________________________
17:00 Come Dine with Me [R] [S] [HD] 4oD
20:00 Location, location location [R] [S] [HD] 4oD
18:00 The Simpsons [R] [S]
21:00 Peter Kay: Live at the top of the Tower [R] [S] [HD] 4oD
18:30 Hollyoaks [R] [S] [HD] 4oD
22:30 24 hours in A & E [R] [S] [HD] 4oD
19:00 Channel 4 News [S]
23:00 Ramsey’s Hotel Hell [R] [S] [HD] 4oD
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 5 – THE CALENDAR AND TIME
Version 1.0
2 Look at the list of evening classes.
Complete the table to show the total time each person spends attending classes?
Sally James Colin
Dressmaking Cookery Pottery
Computing Woodwork
Computing Pottery
Woodwork
Total time
__________________
Total time
__________________
Total time
__________________
Evening Classes Dressmaking 1 hour Cookery 55 minutes Computing 35 minutes Hairdressing 1 hour 20 minutes Pottery 1 hour 15 minutes Woodwork 40 minutes
160 Version 1.0
Component 6 Measures
Outcome 1.1 Compare lengths, heights, weights and capacities
Name Date achieved
1 Without measuring, can you answer this question?
Look at these arrows. Circle the shortest.
2 Look at the animals shown below.
squirrel Donkey Sparrow Fox
(a) Which animal is the heaviest? ___________________________________
(b) Which animal is the lightest? ___________________________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 6 – MEASURES
Version 1.0 161
3 Look at the glasses.
A B C
(a) Which glass has the most cola in it? _______________
(b) Which glass has the least cola in it? ________________ 4 Draw a line longer than the line shown below.
Practice
162 Version 1.0
Outcome 1.2 Give the length of a line drawn on a centimetre grid
Name Date achieved
1 Write down the length of each line shown on the centimetre grid.
1 _______________ cm 2 _______________ cm
3 _______________ cm 4 _______________ cm
5 _______________ cm 6 _______________ cm
1
2
3
4
5
6
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 6 – MEASURES
Version 1.0 163
2 Write down the length of the lines shown on the centimetre grid below.
A _______________ cm B _______________ cm
C _______________ cm D _______________ cm
A
B
C
D
Practice
164 Version 1.0
Outcome 1.3 Describe capacity in fractions
Name Date achieved
1 Look at the bottles.
A B C
(a) Which bottle is more than half full? _______________
(b) Which bottle is less than half full? ________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 6 – MEASURES
Version 1.0 165
2 Look at the kettles.
A B C D
Shade in kettle D so that it is more than half full?
Practice
166 Version 1.0
Outcome 2.1 Choose appropriate standard units of length, capacity and
weight
Name Date achieved
1 Choose the correct word from the list to complete the sentences.
millimetres centimetres
kilometres metres
(a) A pencil is 16 _____________________________ long.
(b) A cricket pitch is 20 _____________________________ long.
(c) Birmingham is 130 _____________________________ from Manchester.
(d) An ant is 4 _____________________________ long 2 Choose the correct word from the list to complete the sentences.
grams tonnes
kilograms
(a) A pencil weighs 5 _____________________________
(b) A dog weighs 11 _____________________________
(c) A car weighs 2 _____________________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 6 – MEASURES
Version 1.0 167
3 Look at the units of measurement shown on the box.
m cm mm km g kg ml cl l
State the unit you would use to measure each of the following.
(a) The length of a pen. _____________
(b) The length of a bus. _____________
(c) The amount of water in a swimming pool. _____________
(d) The capacity of a small carton of juice. _____________
(e) The weight of a cat. _____________
(f) The height of a block of flats. _____________
(g) The length of a spiders leg _____________
(h) The capacity of a small spoon. _____________
(i) The length of a motorway. _____________
Practice
168 Version 1.0
Outcome 2.2 Compare and order lengths, capacities and weights in the same
units
Name Date achieved
1 Write each list of measures in order, starting with the smallest.
(a) 6 mm 17 mm 9 mm 21 mm
________________________________________________________________
(b) 36 g 11 g 75 g 27 g
________________________________________________________________
(c) 20 ml 75 ml 25 ml 7 ml
________________________________________________________________
(d) 30 kg 23 kg 32 kg 2 kg
________________________________________________________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 6 – MEASURES
Version 1.0 169
2 In each list, circle the largest measure.
(a) 30 cl 3 cl 13 cl 23 cl
(b) 70 cm 77 cm 7 cm 27 cm
(c) 52 g 25 g 55 g 5 g
(d) 40 m 24 m 44 m 54 m
3 In each list, circle the smallest measure.
(a) 60 cm 66 cm 6 cm 67 cm
(b) 50 cl 5 cl 15 cl 25 cl
(c) 70 m 74 m 57 m 64 m
(d) 42 g 44 g 55 g 45 g
Practice
170 Version 1.0
Outcome 2.3 Select a possible length, capacity or weight for a given item
Name Date achieved
1 Tick () the correct measure for each item.
(a) A length of a car.
5 m 5 km
(b) Amount of water in a bottle.
750 ml 7 l
(c) The length of a hand.
17 cm 7 mm
(d) The weight of a tennis ball.
2 kg 58 g
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 6 – MEASURES
Version 1.0 171
2 Here is a pound coin.
Tick () the best estimate for its thickness.
3 mm 300 mm 30 cm
3 Here is a litre carton of juice.
Tick () the best estimate for its mass.
2 g 1 kg 500 kg
Practice
172 Version 1.0
Component 2.4 Measure or draw a length using a ruler
Name Date achieved
1 Measure the lines below in cm.
A is __________________ B is __________________
C is __________________ D is __________________
E is __________________ F is __________________
A
B
C
D
E
F
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 6 – MEASURES
Version 1.0 173
2 Draw a line 8 cm long in the space below.
3 Draw a line 70 mm long in the space below.
Practice
174 Version 1.0
Outcome 2.5 Estimate the weight, capacaity or length of given items
1 For each pair draw a ring around the heaviest object.
(a)
(b)
(c)
(d)
2 Tick () the animal that weighs the least.
Horse Mouse Cat
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 6 – MEASURES
Version 1.0 175
3 The car is 5 metres long.
Estimate the length of the bus.
5 metres .__________________ metres 4 A small bar of chocolate weighs 30g
Estimate the weight of the large chocolate bar.
30 grams __________________ grams
5 Tick the item that would hold the most water.
Practice
1
176 Version 1.0
Outcome 3.1 Add lengths, capacities and weights and compare the total to
another total or requirement
Name Date achieved
1 Add together the following measures.
(a) 400 g + 250 g + 45 g
_____________________________________________________________________
(b) 200 ml + 15 ml + 320 ml
_____________________________________________________________________
2 Dennis is training for a cycle race.
He plans to cycle a total of 300 km per week.
During 1 week he did 3 training sessions.
Session 1 Session 2 Session 3
105 km 95 km 110 km
Has he reached his target of 300 km?
Show how you decide.
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 6 – MEASURES
Version 1.0 177
3 Cal has some books he wants to post.
The total weight of his parcel must be less than 900 g.
Which 3 books can he post?
Show how you decide.
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
4 Will has a 1 litre bottle of coke.
Does he have enough to fill all of the glasses?
Show how you decide.
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
290 ml 230 ml 420 ml
Gone : 340 g Kings : 190 g Time : 500 g Stars : 2g
Practice
178 Version 1.0
Outcome 3.2 Convert standard units of length, capacity and weight
Name Date achieved
1 Convert the following lengths into the units given.
(a) 4 m = ___________________ cm
(b) 3.6 m = ___________________ cm
(c) 200 cm = ___________________ m
(d) 2.6 m = ___________________ m and ___________________ cm
2 Convert the following capacities into the units given.
(a) 5 litres = ___________________ ml
(b) 1.5 litres = ___________________ ml
(c) 2000 ml = ___________________ litres
(d) 4560 ml = ___________________ litres and ___________________ ml
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 6 – MEASURES
Version 1.0 179
3 6.4 cm is the same as 6 cm 4 mm
Complete the following.
(a) 5.6 cm = _____________ cm _____________ mm
(b) 9.2 cm = _____________ cm _____________ mm
(c) 1.5 litres = _____________ litres _____________ ml
(d) 2.4 litres = _____________ litres _____________ ml
(e) 2.2 kg = _____________ kg _____________ g
(f) 8.3 kg = _____________ kg _____________ g
(g) 5400 g = _____________ kg _____________ g
(h) 2500 m = _____________ km _____________ m
(i) 4600 litres = _____________ litres _____________ ml
Practice
180 Version 1.0
Outcome 3.3 Compare and order lengths, capacities and weights in different
standard units
Name Date achieved
1 Write each list of measures in order, starting with the smallest.
(a) 5 cm 6 mm 4 m 9 cm
________________________________________________________________
(b) 300 ml 20 cl 0.5 litres 800 ml
________________________________________________________________
(c) 7 kg 70 g 0.9 kg 600 g
________________________________________________________________
(d) 60 m 600 m 1000 m 1.5 km
________________________________________________________________
(e) 60 g 600 kg 5600 g 1.9 kg
________________________________________________________________
(f) 40 cl 300 ml 4400 ml 4.5 litres
________________________________________________________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 6 – MEASURES
Version 1.0 181
2 In each list, circle the largest measure.
(a) 30 cl 3 ml 13 cl 23 ml
(b) 70 mm 77 cm 7 m 27 cm
(c) 52 g 25 kg 55 g 5 kg
(d) 40 mm 24 m 44 cm 54 m
3 In each list, circle the smallest measure.
(a) 60 m 66 cm 6 mm 67 m
(b) 50 cl 5 ml 15 litres 25 ml
(c) 7 m 74 km 57 m 6400 m
(d) 42 kg 440 g 55 kg 450 g
Practice
182 Version 1.0
Outcome 3.4 Measure the perimeter of a simple shape
Name Date achieved
1 Measure the perimeter of each of the following squares.
(a) Perimeter = _____________ cm (b) Perimeter = _____________ cm
2 Measure the perimeter of each of the following rectangles.
(a) Perimeter = _____________ cm (b) Perimeter = _____________ cm
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 6 – MEASURES
Version 1.0 183
3 Measure the perimeter of the following shape.
Perimeter = _____________ cm 4 Measure the perimeter of the following shape.
Perimeter = _____________ cm
Practice
184 Version 1.0
Outcome 3.5 Choose an appropriate measuring instrument.
Name Date achieved
1 Which of the following would you use to measure the length of a cricket pitch?
Tick () the correct box
2 Which of the following would you use to measure the amount of juice in a glass?
Circle your answer.
3 What would you use to find you weight?
Circle your answer.
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 6 – MEASURES
Version 1.0 185
4 Circle the item you would use to measure each of the following.
(a) The length of a football pitch
ruler / trundle wheel
(b) The weight of a banana
kitchen scales / measuring jug
(c) The capacity of a glass
measuring jug / bathroom scales
(d) The weight of a man
kitchen scales / bathroom scales
(e) The length of a desk
trundle wheel / tape measure
(f) The capacity of a coffee mug
measuring jug / kitchen scales
(g) The width of a pound coin
ruler / trundle wheel
Practice
186 Version 1.0
Outcome 3.6 Read values from an appropriate scale
Name Date achieved
1 Write down the weight shown on the kitchen scales.
__________________________ kg
2 Write down the speed shown on the speedometer.
__________________________ mph
Practice
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Version 1.0 187
3 Fill in the missing measurements on the scale.
4 Jason weighs his suitcase.
The maximum weight allowed is 25 kg.
Is his suitcase too heavy?
Show how you decide.
____________________________________________________________________
5 Sally wants to make a banana milkshake.
She needs
340 ml of milk
1 banana
3 ice cubes
Sally pours some milk into a measuing jug.
Sally says,
“I need another 120 ml of milk.”
Is she correct?
Show how you decide.
____________________________________________________________________
____________________________________________________________________
100
300
500 ml
20kg 30kg 40kg
Weight of suitcase
4.1 4.2 4.3 4.5 4.6 4.7 4.8 4.9 ___________ ___________
Practice
188 Version 1.0
Outcome 3.7 Read and compare temperature including temperature with
negative values
Name Date achieved
1 Write down the temperatures shown on the thermometers.
(a) (b) (c)
2 Work out the temperatures after the rise in temperature.
START temperature
RISE in temperature
FINAL temperature
2°C
4°C
5°C
1°C
5°C
6°C
7°C
4°C
__________°C
__________°C
__________°C
__________°C
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 6 – MEASURES
Version 1.0 189
3 In each list, circle the warmest temperature.
(a) 15°C 22°C 5°C 31°C
(b) 5°C 19°C 34°C 25°C
4 In each list, circle the coldest temperature.
(a) 15°C 2°C 35°C 20°C
(b) 12°C 18°C 6°C 0°C
5 Write each list of temperatures in order, starting with the warmest.
(a) 9°C 17°C 22°C 6°C
________________________________________________________________
(b) 3°C 5°C 9°C 0°C
________________________________________________________________
6 Write each list of temperatures in order, starting with the coldest.
(a) 12°C 4°C 2°C 15°C
________________________________________________________________
(b) 0°C 6°C 5°C 7°C
________________________________________________________________
Practice
190 Version 1.0
Component 7 Geometry
Outcome 1.1 Recognise and name squares, rectangles, triangles, circles and
cubes
Name Date achieved
1 Tick () the correct name for this shape.
Circle
Square
2 Tick () the correct name for this shape.
Triangle
Rectangle
3 Tick () the correct name for this shape.
Cube
Square
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 7 – GEOMETRY
Version 1.0 191
4 Colour in all of the circles.
5 Colour in all of the squares.
6 Colour in all of the rectangles.
7 Look at the 3D shapes below.
Shade in the cubes.
Practice
192 Version 1.0
Outcome 1.2 Compare and order a group of shapes or pictures or similar
shapes of different size and recognise congruent shapes
Name Date achieved
1 Look at the shapes below.
Shade the three shapes that are exactly the same shape and size.
2 Look at the shapes and circle the correct word.
(a)
is smaller than / bigger than
(b)
is shorter than / taller than
(c)
is fatter than / thinner than
(d)
is narrower than / thicker than
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 7 – GEOMETRY
Version 1.0 193
3 Look at the shapes.
(a)
Draw a larger rectangle
(b)
Draw a taller arrow
(c)
Draw a wider circle
(d)
Draw a narrower triangle
Practice
194 Version 1.0
Outcome 1.3 Use and understand positional vocabulary
Name Date achieved
1 Look at the shapes below.
Use a word from the box to complete the following sentences.
right left inside outside
(a) The circle is __________________________________ the triangle.
(b) The square is __________________________________ of the triangle.
(c) The rectangle is __________________________________ of the triangle.
(d) The triangle is __________________________________ of the circle.
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 7 – GEOMETRY
Version 1.0 195
2 Draw a circle to the left of the rectangle.
3 Sally hides clues for a treasure hunt.
(a) The first clue is to the left of the tree. Mark this as 1 on the picture.
(b) The second clue is to the right of the post box.
Mark this as 2 on the picture.
(c) The third clue is under the bench.
Mark this as 3 on the picture.
Practice
196 Version 1.0
Outcome 2.1 Recognise and name shapes including pentagons, hexagons and
octagons and identify a right-angled triangle from a set of
triangles
Name Date achieved
1 Tick () the correct name for each shape.
(a)
RECTANGLE PENTAGON HEXAGON OCTAGON
(b)
RECTANGLE PENTAGON HEXAGON TRIANGLE
(c)
RECTANGLE PENTAGON HEXAGON OCTAGON
Practice
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Version 1.0 197
2 Shade in all of the right angled triangles.
3 Colour in all of the hexagons.
4 Colour in all of the octogons.
Practice
198 Version 1.0
Outcome 2.2 Recognise and name cuboids, pyramids and spheres
Name Date achieved
1 Tick () the correct name for each shape.
(a) (b)
sphere cuboid pyramid sphere cuboid pyramid
(c) (d)
sphere cuboid pyramid sphere cuboid pyramid
(e) (f)
sphere cuboid pyramid sphere cuboid pyramid
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 7 – GEOMETRY
Version 1.0 199
2 Name each of the shapes shown below.
(a) (b)
_____________________________ _____________________________
(c) (d)
_____________________________ _____________________________
(e) (f)
_____________________________ _____________________________
Practice
200 Version 1.0
Outcome 2.3 Describe the properties of 2D shapes, including straight and
curved edges
Name Date achieved
1 Shade in all of the shapes with more than 4 edges.
2 Shade in all of the shapes with a curved edge.
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 7 – GEOMETRY
Version 1.0 201
3 Write down the number of edges and vertices on these shapes.
(a)
____________ edges
____________ vertices
(b)
____________ edges
____________ vertices
(c)
____________ edges
____________vertices
(d)
____________ edges
____________ vertices
(e)
____________ edges
____________ vertices
(f)
____________ edges
____________ vertices
Practice
202 Version 1.0
Outcome 2.4 Describe the properties of solids
Name Date achieved
1 Write down the number of edges, vertices and faces of these shapes.
(a)
____________ edges
____________ vertices
____________ faces
(b)
____________ edges
____________ vertices
____________ faces
(c)
____________ edges
____________ vertices
____________ faces
(d)
____________ edges
____________ vertices
____________ faces
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 7 – GEOMETRY
Version 1.0 203
2 Shade in all of the shapes with a curved edge.
3 Look at the prism.
Tick () the statements that are true.
The prism has 9 edges
The prism has 2 triangular faces
The prism has 8 vertices
The total number of faces is 5
Practice
204
204 Version 1.0
Component 2.5 Understand angle as a measure of turn
Name Date achieved
1 Describe the turn for each of the following.
Put a tick () in the correct box.
(a)
quarter turn
half turn
(b)
quarter turn
half turn
2 Look at the dragonfly.
Circle the picture which shows that the dragonfly has turned through a half turn?
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 7 – GEOMETRY
Version 1.0 205
3 Look at the picture of the car.
A B C (a) Which picture shows the car after a quarter turn?
Put a tick () in the correct box.
Picture A Picture B Picture C
(b) Which picture shows the car after half a turn?
Put a tick () in the correct box.
Picture A Picture B Picture C
Practice
206 Version 1.0
Outcome 3.1 Recognise and name prisms, cylinders and cones
N Name Date achieved
1 1 Match each shape to its name.
The first one has been done for you.
cube
prism
cone
cylinder
pyramid
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 7 – GEOMETRY
Version 1.0 207
2 Look at the shapes.
A C D
(a) Which shape is a prism? ____________
(b) Which shape is a cone? ____________
(c) Which shape is a cylinder? ____________
3 Name the shapes of the following items.
(a)
__________________________
(b)
__________________________
(c)
__________________________
(d)
__________________________
Practice
208 Version 1.0
Outcome 3.2 Draw lines of symmetry on shapes or pictures
Name Date achieved
1 Draw all lines of symmetry on these shapes.
(a) (b)
(c)
(d)
(e)
(f)
(g)
(h)
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 7 – GEOMETRY
Version 1.0 209
2 Draw all lines of symmetry on these national flags. (a)
(b)
(c)
(d)
3 Draw all lines of symmetry on these road signs. (a)
(b)
(c)
(d)
(e)
(f)
Practice
210 Version 1.0
Outcome 3.3 Recognise and draw nets of cubes and cuboids
Name Date achieved
1 Circle the nets that would fold to make a cube.
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 7 – GEOMETRY
Version 1.0 211
2 Complete this net for a cube.
3 Complete this net for a cubiod.
Practice
212 Version 1.0
Outcome 3.4 Identify whether an angle is less or more than a right-angle
Name Date achieved
1 Look at the angles marked x, y and z.
Put a tick () in the correct box.
(a)
smaller than a right angle
equal to a right angle
larger than a right angle
(b)
smaller than a right angle
equal to a right angle
larger than a right angle
(c)
smaller than a right angle
equal to a right angle
larger than a right angle
x
y
z
x is
y is
z is
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 7 – GEOMETRY
Version 1.0 213
2 Mark all of the right angles inside these shapes.
(a) (b)
3 Tick () the angles that are less than a right angle.
4 Tick () the angles that are more than a right angle.
5 Draw the following angles.
Less than a right angle A right angle More than a right angle
Practice
214 Version 1.0
Outcome 3.5 Identify horizontal, vertical and parallel lines
1 Using the words given in the box, complete the sentences.
parallel horizontal vertical
(a)
This is a ______________________________ line
(b)
This is a ______________________________ line
(c)
These lines are __________________________
2 Look at the shapes.
On each shape tick the sides that are parallel.
(a) (b)
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 7 – GEOMETRY
Version 1.0 215
3 Look at the hoodies below.
(a) How many hoodies have horizontal stripes? ____________
(b) How many hoodies have vertical stripes? ____________
(c) How many hoodies have parallel stripes? ____________ 4 Look at the patterned tiles below.
(a) How many vertical lines are there? ____________
(b) How many horizontal lines are there? ____________
(c) How many parallel lines are there? ____________
Practice
22
216 Version 1.0
Outcome 3.6 Denote the position of a point on a grid by its coordinates or
identify a point or item given its coordinates
Name Date achieved
1 The grid shows part of a farm.
Write down the coordinates of:
(a) The tractor
(__________, __________)
(b) The bull
(__________, __________)
(c) The horse
(__________, __________)
1 2 3 4 5
5
4
3
2
1
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 7 – GEOMETRY
Version 1.0 217
2 Look at the grid below.
(a) Write down the coordinates of each letter.
A (__________, __________) B (__________, __________)
C (__________, __________) D (__________, __________)
E (__________, __________) F (__________, __________)
(b) Plot the following points on the grid.
1 (__________, __________) 2 (__________, __________)
3 (__________, __________) 4 (__________, __________)
x
y
8 7
6 0
5 4
10 10
B
C
D
E
F
A
Practice
218 Version 1.0
Outcome 3.7 Use North (N), South (S), East (E) and West (W) to give directions
or position from a map
Name Date achieved
1 Look at the plan of a safari park below.
(a) Kerry is at the giraffe area.
Which direction must she travel to get to the elephant area? _____________
(b) Dave is at the lion area.
Which direction must he travel to get to the giraffe area? _____________
(c) Ash is at the zebra area.
Which direction must he travel to get to the monkey area? _____________
N
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 7 – GEOMETRY
Version 1.0 219
2 Using the words in the box below.
Write down the directions the mouse must follow to reach the cheese.
The first one has been done for you.
north south east west (a)
_________________
_________________
_________________
_________________
_________________
_________________
_________________
(b)
_________________
_________________
_________________
_________________
_________________
_________________
_________________
north
east
N
N
Practice
220 Version 1.0
Component 8 Statistics
Outcome 1.1 Sort and classify objects using a single criterion
Name Date achieved
1 Look at the mugs.
(a) How may mugs have spots on them? _____________
(b) How many mugs are there altogether? _____________
2 Colour in all of the shapes with curved sides.
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 8 – STATISTICS
Version 1.0 221
3 Look at the letters shown below.
(a) Sort the letters into the correct boxes.
Shaded Letters Unshaded Letters
(b) Which box has most letters? _____________
(c) How many letters are there altogether? _____________
Practice
222 Version 1.0
Outcome 1.2 Interpret and draw conclusions from a list or group of objects
Name Date achieved
1 Zainab asked 12 friends to choose their favourite fruit.
Here are their choices.
(a) How many friends chose banana as their favourite fruit? _______________
(b) How many friends chose orange as their favourite fruit? _______________
(c) How many friends chose apple as their favourite fruit? _______________
2 Teachers were asked the type of transport they used to get to school.
Car Bicycle Train Car Car Bicycle
Bus Bus Car Bus Walk Car
Train Car Bus Bus Car Car
(a) How many teachers were asked? _______________
(b) Which was the most popular type of transport? ______________________________
(c) Which was the least popular type of transport? ______________________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 8 – STATISTICS
Version 1.0 223
3 Alex asked his friends about their favourite drink.
The list shows their choices.
Cola
Lemonade
Orangeade Cola
Cola Limeade
Cola Lemonade
Orangeade
Cola
(a) How many friends did Alex ask? _______________
(b) How many drinks chosen were fruit based? _______________
(c) Which drink was the most popular? _________________________________
(d) Which drink was the least popular? _________________________________
Practice
224 Version 1.0
Outcome 1.3 Constuct and interpret simple line graphs
Name Date achieved
1 20 pupils in class 3 were asked to choose their favourite fairground ride.
Here are their choices.
Fairground ride Waltzer Big Dipper Speedway Dodgems
Number of children 7 6 4 3
Complete the graph to show their choices.
Waltzer Big Dipper Speedway Dodgems
8
7
6
5
4
3
2
1
0
Fairground ride
Number of Children
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 8 – STATISTICS
Version 1.0 225
2 25 people were asked what type of pet they owned.
Here are their answers.
Type of pet Dog Cat Rabbit Gerbil Snake Mouse
Number of people 9 6 3 4 1 2
Complete the graph to show their answers.
Dog Cat Rabbit Gerbil Snake Mouse
10
9
8
7
6
5
4
3
2
1
0
Type of pet
Number of people
Practice
226 Version 1.0
Outcome 2.1 Sort and classify objects using more than one criterion
Name Date achieved
1 Look at the T-shirts.
(a) How many T-shirts have a star on them?
_______________
(b) How many T-shirts have a star and a stripe on them?
_______________
(c) How many T-shirts are there altogether?
_______________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 8 – STATISTICS
Version 1.0 227
2
(a) How many of the houses have a car?
_______________
(b) How many houses with a car also have a tree?
_______________
(c) How many houses with a tree also have a path?
_______________
Practice
228 Version 1.0
Outcome 2.2 Collect information by survey
Name Date achieved
1 Ask at least 10 people their about their favourite fast food.
Circle their answers in the list below.
1 Fish & chips Pizza Burger Indian Chinese Other
2 Fish & chips Pizza Burger Indian Chinese Other
3 Fish & chips Pizza Burger Indian Chinese Other
4 Fish & chips Pizza Burger Indian Chinese Other
5 Fish & chips Pizza Burger Indian Chinese Other
6 Fish & chips Pizza Burger Indian Chinese Other
7 Fish & chips Pizza Burger Indian Chinese Other
8 Fish & chips Pizza Burger Indian Chinese Other
9 Fish & chips Pizza Burger Indian Chinese Other
10 Fish & chips Pizza Burger Indian Chinese Other
11 Fish & chips Pizza Burger Indian Chinese Other
12 Fish & chips Pizza Burger Indian Chinese Other
13 Fish & chips Pizza Burger Indian Chinese Other
14 Fish & chips Pizza Burger Indian Chinese Other
15 Fish & chips Pizza Burger Indian Chinese Other
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 8 – STATISTICS
Version 1.0 229
2 Ask at least 6 people their favourite flavour of crisps.
Tick () their answers in the list below.
1 Ready salted Salt and vinegar Cheese and onion Prawn cocktail Beef Other
2 Ready salted Salt and vinegar Cheese and onion Prawn cocktail Beef Other
3 Ready salted Salt and vinegar Cheese and onion Prawn cocktail Beef Other
4 Ready salted Salt and vinegar Cheese and onion Prawn cocktail Beef Other
5 Ready salted Salt and vinegar Cheese and onion Prawn cocktail Beef Other
6 Ready salted Salt and vinegar Cheese and onion Prawn cocktail Beef Other
7 Ready salted Salt and vinegar Cheese and onion Prawn cocktail Beef Other
8 Ready salted Salt and vinegar Cheese and onion Prawn cocktail Beef Other
9 Ready salted Salt and vinegar Cheese and onion Prawn cocktail Beef Other
10 Ready salted Salt and vinegar Cheese and onion Prawn cocktail Beef Other
Practice
230 Version 1.0
Outcome 2.3 Record results in lists, tally charts and tables
Name Date achieved
1 An ice cream van sells 4 different flavours of ice cream.
20 people were asked to name their favourite from these 4 flavours .
Their choices are as follows.
Mint Chocolate Chocolate Strawberry Chocolate
Vanilla Vanilla Vanilla Chocolate Vanilla
Vanilla Mint Strawberry Mint Vanilla
Vanilla Chocolate Chocolate Strawberry Chocolate
Complete tally table to show this information.
Tally
Vanilla
Chocolate
Strawberry
Mint
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 8 – STATISTICS
Version 1.0
2 6 boys have already answered the following question.
Ask 4 more boys.
Boy 1 Football Tennis Swimming Rugby Cricket
Boy 2 Football Tennis Swimming Rugby Cricket
Boy 3 Football Tennis Swimming Rugby Cricket
Boy 4 Football Tennis Swimming Rugby Cricket
Boy 5 Football Tennis Swimming Rugby Cricket
Boy 6 Football Tennis Swimming Rugby Cricket
Boy 7 Football Tennis Swimming Rugby Cricket
Boy 8 Football Tennis Swimming Rugby Cricket
Boy 9 Football Tennis Swimming Rugby Cricket
Boy 10 Football Tennis Swimming Rugby Cricket
3 Using the data collected record the totals for each sport below:
Football ________ Rugby ________
Tennis ________ Cricket ________
Swimming ________
What is your favourite Sport?
Practice
232 Version 1.0
Outcome 2.4 Construct and interpret pictograms where one picture
represents one item
Name Date achieved
1 An ice cream van sells 4 different flavours of ice cream.
20 people were asked to name their favourite from these 5 flavours .
Use the information in the pictogram to answer the following.
Key: = 1 person
Vanilla
Chocolate
Raspberry Ripple
Mint
(a) How many people chose Raspberry Ripple as their favourite ice cream?
_______________
(b) Which are the 2 most popular flavours of ice cream?
_________________________________________________________________
_________________________________________________________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 8 – STATISTICS
Version 1.0 233
2 Jenny asked her friends to pick their favourite type of TV programme.
Here are there answers.
5 friends chose Soap
2 friends chose Crime
3 friends chose Sport
2 friends chose Quiz
4 friends chose Comedy
(a) Show this information on a pictogram.
Soap
Crime
Sport
Quiz
Comedy
(b) Which was the most popular type of TV programme?
_______________________ (c) Which two types of TV programme were equally popular?
_______________________ and _______________________
(d) How many friends did Jenny ask?
_____________
Key: represents 1 friend.
Practice
234 Version 1.0
Outcome 2.5 Interpret simple tables, diagrams, lists and graphs
Name Date achieved
1 This pictogram shows how many children liked certain shapes.
Circles
Squares
Triangles
Stars
(a) How many children liked triangles? __________________
(b) Which is the favourite shape? _________________________________
(c) Which shape was liked least? _________________________________
(d) How many children were asked? __________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 8 – STATISTICS
Version 1.0 235
2 Here is a table for the number of medals won at an international sports event.
Gold Silver Bronze Total
USA 29 10 14 53
United Kingdom 17 7 11 35
Germany 12 8 20 40
China 16 10 19 45
(a) Which country won the most Bronze medals?
______________________________
(b) Which country won the most Gold medals?
______________________________
(c) Which 2 countries won the same number of Silver medals?
______________________________ and ______________________________
(d) Look at the Total column.
How many more medals did the USA win than the United Kingdom?
_____________________
Practice
236 Version 1.0
Outcome 3.1 Construct and interpret bar charts with the vertical axis scaled in
ones or twos
Name Date achieved
1 This bar chart is about types of transport passing a school in 30 minutes.
(a) How many more cars than vans are there? _______________________________
(b) How many bikes and cars are there? _______________________________
(c) How many buses are there? _______________________________
(d) How many more lorries than bikes are there? _______________________________
Car Van Bike Lorry Bus
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 8 – STATISTICS
Version 1.0 237
2 The table below shows the number of coins in a money box.
Coin Frequency
£ 2 3
£ 1 9
50 p 12
20 p 7
Use this information to draw a bar chart. 3 The table below shows the number of pets owned by a class of children.
Pet Frequency
Dog 8
Cat 10
Goldfish 4
Hamster 5
Mouse 2
Use this information to draw a bar chart.
4 The table below shows the type of transport used by teachers to get to school.
Transport type Frequency
Car 15
Bus 7
Train 8
Bicycle 2
Walk 3
Use this information to draw a bar chart.
Practice
238 Version 1.0
Outcome 3.2 Construct and interpret pictograms where one picture
respresents more than one item
Name Date achieved
1 The pictogram shows the number of days it rained from April to August.
April
May
June
July
August
(a) How many days did it rain in May? __________________
(b) How many days did it rain in April? __________________
(c) On which two months did it rain for the same number of days
_______________________________ and _______________________________
Key: represents 2 days.
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 8 – STATISTICS
Version 1.0 239
2 The table below shows the favourite colours of a class of children.
Colour Frequency
Blue 15
Red 20
Green 10
Yellow 10
Pink 5
Purple 25
Display this data in a pictogram. Use 1 symbol to show 5 of each colour.
3 The table below shows the favourite fruit of pupils from a school.
Fruit Frequency
Apple 24
Orange 20
Banana 16
Pear 18
Grapes 22
Kiwi 10
Peach 8
Display this data in a pictogram. Use 1 symbol to show 4 pieces of fruit.
Practice
240 Version 1.0
Outcome 3.3 Extract numerical information from lists, tables, diagrams and
charts
Name Date achieved
1 Five friends each have a target of swimming 50 km in 5 weeks.
The chart below shows the distance they have swam so far.
10 km 20 km 30 km 40 km 50 km
Karl
Abdul
Jay
Sean
Harry
(a) How far has Karl swam so far? __________________
(b) How far has Jay swam so far? __________________
(d) How much further does Sean need to swim to reach the 50 km target?
__________________
(c) How much further has Abdul swam than Harry?
__________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 8 – STATISTICS
Version 1.0 241
2
(a) How much would it cost to stay in a Chalet for one week in August?
£ _______________________
(b) How much would it cost to stay in a Lodge for one week in May?
£ _______________________
(c) Mr Stafford wants his holiday to be as cheap as possible should he stay in a
Chalet or Lodge?
_____________________________________
(d) Why do you think the prices are different at different times of the year?
_______________________________________________________________
_______________________________________________________________
_______________________________________________________________
_______________________________________________________________
CHALET
April to June £120
July to September £220
October to March £ 80
LODGE
April to June £150
July to September £270
October to March £110
Price per person per week
Practice
242 Version 1.0
Outcome 3.4 Complete a frequency table given the original list of results
1 20 pupils were asked their shoe size. Here are the results.
Complete the frequency table in the space given.
6 4 6 3 6
5 6 8 7 5
6 7 9 4 3
7 4 4 6 8
Size of Shoe Frequency
3
4
5
6
7
8
9
(a) How many pupils wear size 4 shoes? __________________
(b) How many pupils wear size 6 shoes? __________________
(c) How many pupils wear size 8 shoes? __________________
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 8 – STATISTICS
Version 1.0 243
2 30 people were asked how they travel to work.
Here are the results.
Complete the frequency table in the space given.
Car Cycle Car Bus Walk Bus
Car Walk Cycle Car Bus Car
Bus Car Bus Bus Bus Car
Car Car Cycle Cycle Car Car
Cycle Walk Car Cycle Walk Bus
Mode of transport Frequency
Bus
Car
Cycle
Walk
(a) How many people walk to work? __________________
(b) How many people cycle to work? __________________
(c) How many people catch a bus to work? __________________
Practice
244 Version 1.0
Outcome 3.5 Complete a tally chart and the resulting frequency table
Name Date achieved
1 The data below shows the price of pencils in 27 shops.
23 29 25 25 29 29 29 25 23
27 23 23 25 25 25 29 27 27
23 25 23 25 29 27 29 23 23
(a) Complete the tally chart to show this information.
Price of Pencil Tally
23
25
27
29
(b) Complete the frequency table to show this information.
Price of Pencil Frequency
23
25
27
29
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 8 – STATISTICS
Version 1.0 245
2 Some students were asked their favourite type of TV programme.
Drama Soaps Soaps Comedy Reality Comedy Soaps
Drama Drama Reality Reality Soaps Soaps Comedy
Comedy Soaps Reality Soaps Drama Soaps Comedy
Comedy Drama Reality Soaps Drama Soaps Soaps
(a) Complete the tally chart to show this information.
Type of TV programme Tally
Comedy
Drama
Reality
Soaps
(b) Complete the frequency table to show this information.
Type of TV programme Frequency
Comedy
Drama
Reality
Soaps
Practice
246 Version 1.0
Outcome 3.6 Compare two or more diagrams
Name Date achieved
1 Matt and Carly both count the number of text messages they received in a week.
The pictogram shows the number of text messages that Carly received in one week.
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
The Bar chart shows the number of text messages that Matt received in one week.
(a) How many text messages did Carly get on Monday? _______________
(b) Who got the most text messages on Friday? ______________________
0
2
4
6
8
10
12
Key = 2 texts
Monday Tuesday Wednesday Thursday Friday Saturday Sunday
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 8 – STATISTICS
Version 1.0 247
(c) On which days did Carly receive the same number of text messages as Matt?
_____________________________________
(d) During the week Carly received 37 text messages altogether.
Matt claims that he receieved more text messages than Carly.
Is he correct? Show how you decide.
______________________________________________________________________
______________________________________________________________________
______________________________________________________________________
Practice
248 Version 1.0
Outcome 3.7 Solve one-step and two step problems based on statistical
information
Name Date achieved
1 The graph shows the number of bikes sold by “The Bike People’ shop in 2014.
Janu
ary
Febr
uary
Mar
ch
Apr
il
May
June
July
Aug
ust
Sep
tem
ber
Oct
ober
Nov
embe
r
Dec
embe
r
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Practice
ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 8 – STATISTICS
Version 1.0 249
The table shows the number of bikes sold by “The Bike People’ shop in 2015.
. Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Number of bikes
sold 1 3 5 6 9 12 10 12 9 10 13 15
(a) Which month had the highest number of sales in both 2014 and 2015?
_____________________________________
(b) Which month in both years had the same number of sales?
_____________________________________
(c) How many more bikes were sold in June 2015 than June 2014?
___________
(d) How many more bikes were sold in the first 3 months of 2014 than during the first
3 months of 2015?
_____________________________________
(e) In which year were the most bikes sold?
Show how you decide.
______________________________________________________________________
______________________________________________________________________
______________________________________________________________________
______________________________________________________________________
______________________________________________________________________
Practice
AQA Entry Level Certificate in Mathematics
first certification summer 2017
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