Maths Homework Booklet E2 - Turton School · 2019-09-09 · 14. What must be added to eighty -three...

Maths Homework Booklet

E2 Section Due by E2.1 E2.2 E2.3 E2.4 E2.5 E2.6 E2.7 E2.8 E2.9 E2.10 E2.11 E2.12 E2.13 E2.14 E2.15

Name

Form

Teacher

Hand-in date:____________________ E2.1 Recognise and use square and cube notation

1 Work out

a 32 ......................................................... b 42 ......................................................... c 52 .........................................................

d 72 ......................................................... e 102 .........................................................

2 Lizzy says that to work out 62 you do 6 × 2 so the answer is 12. Lizzy is wrong. Explain why.

.........................................................................................................................................................................................................................................................

.........................................................................................................................................................................................................................................................

.........................................................................................................................................................................................................................................................

3 Work out

a 23 ......................................................... b 33 ......................................................... c 43 .........................................................

d 53 ......................................................... e 103 .........................................................

4 Here is a list of 8 numbers 1 4 8 12 16 25 64 100 From the numbers in the list write down

a all the numbers that are square numbers

.............................................................................................................................................................................................

b all the numbers that are cube numbers.

.............................................................................................................................................................................................

5 Write down

a 25 .............................................................................................. b 100 ............................................................................................... .......................................................................................................... ..............................................................................................................

.......................................................................................................... ..............................................................................................................

c 3 27 ............................................................................................. d 3 1....................................................................................................

.......................................................................................................... ...........................................................................................................

.......................................................................................................... ........................................................................................................... 6 Work out

a 52 + 22 ........................................................................................ b 82 – 32 ....................................................................................... .......................................................................................................... ..........................................................................................................

.......................................................................................................... ..........................................................................................................

c 4 × 10 ................................................................................... d 9 × 16 ...............................................................................

.......................................................................................................... ..........................................................................................................

.......................................................................................................... ..........................................................................................................

e 100 × 32 ................................................................................. f 92 + 16 ..................................................................................

.......................................................................................................... ..........................................................................................................

1. Multiply fifteen by ten.

11. Divide ninety by three.

2. What temperature is 10 degrees less than 6 degrees Celsius?

12. 7 x 10 = 82 - ?

3. Write down the next two numbers.

3 , 6 , 9 ...

13. Subtract twenty-one from one hundred.

4. What is one-fifth of twenty-five?

14. What must be added to eighty-three to make one hundred?

5. What is three times three added to four times four?

15. One orange costs nineteen pence. How much will three oranges cost?

6. What are the next two numbers?

3 , 7 , 11, 15 …

16. Five times a number is two hundred. What is the number?

7. What is the square root of sixty-four?

17. 20 + =100 ÷ 4

8. Two factors of 24 add up to 11. What are they?

18. (5 x 6) + (4 x 2)=

9. How many metres are there in four and a half kilometres?

19. Divide forty-eight by eight

10. Which is the smallest number.

2.07 2.7 2.4 2 2.04

20. What is thirty-one multiplied by seven?

Hand-in date:____________________ E2.2 Know when calculations that involve powers can be simplified

1 Work out

a 43 .................................................................................................. b 92 ..................................................................................................

c 26 ................................................................................................. d 104 ...............................................................................................

e 35 .................................................................................................

2 Write in index form

a 2 × 2 × 2 × 2 × 2 ............................................................. b 6 × 6 × 6 ..............................................................................

c 8 × 8 × 8 × 8 × 8 × 8 × 8 ......................................... d 17 × 17 ..................................................................................

3 Write as a power of 7 am × an = am+n

a 75 × 73 ..................................................................................... b 72 × 78 ....................................................................................

....................................................................................................... .......................................................................................................

c 73 × 7 ....................................................................................... d 76 × 76 .....................................................................................

...................................................................................................... .......................................................................................................

e 74 × 7 × 73 ...........................................................................

...................................................................................................... 4 Write as a power of 5 am ÷ an = am–n

a 56 ÷ 52 .................................................................................... b 59 ÷ 56 ...................................................................................

...................................................................................................... .....................................................................................................

c 512 ÷ 54 .................................................................................. d 57 ÷ 5 .....................................................................................

...................................................................................................... ......................................................................................................

e 55 ÷ 53 ....................................................................................

...................................................................................................... 5 Write as a power of 3

a 39 × 32 ........................................................................................ b 37 ÷ 33 .....................................................................................

.......................................................................................................... ......................................................................................................

c 310 ÷ 34 ...................................................................................... d 3 × 34 ......................................................................................

.......................................................................................................... ......................................................................................................

e 37 × 32 ÷ 36 .............................................................................

...........................................................................................................

1. Multiply twenty two by ten. 11. Divide 120 by 3.

2. Write two hundred and thirteen to the nearest ten.

12. 7 x 6 = 30 + ?


13. Subtract thirty-two from sixty-five.


22 , 27 , 32 ...

14. What must be added to eighty-three to make one hundred?

5. What is one-third of twenty-four?

15. One orange costs sixteen pence. How much will four oranges cost?


26 , 20 , 14 , 8 , …

16. 14 + = 80 ÷ 4

7. What is seven squared?

17. (16 ÷ 4 ) x ( 7 – 4 )=


18. What is 42 divided by 6 ?


13 0.13 1.03 0.103 1.3

19. What number is half-way between thirteen and thirty-one?

10. What is 3.4 multiplied by 100?

20. The coordinates of a square are

(7,2), (7,7), (2,7) and (?,?)

Hand-in date:____________________ E2.3 Add and subtract with negative numbers

1 Write these numbers in order of size. Start with the smallest.

3 –4 –2 5 –7 –12

........................................................................................................................................................

2

City Temperature

Cardiff –2°C

Edinburgh –4°C

Leeds 2°C

London –1°C

Plymouth 5°C

The table gives information about the temperature at midnight in five cities.

a Write down the lowest temperature. ...............................................................

b Work out the difference in temperature between Cardiff and Plymouth.

..........................................................................................................................................

c Work out the temperature which is half way between –1°C and 5°C.

..........................................................................................................................................

3 At midnight, the temperature was –5°C.

By 9 am the next morning, the temperature had increased by 3°C.

a Work out the temperature at 9 am the next morning.

........................................................................................................................................................

At midday, the temperature was 7°C.

b Work out the difference between the temperature at midday and the temperature at midnight.

........................................................................................................................................................

4 Work out:

a –3 + 2 ...................... b 3 + –1 ...................... c –7 + –3 ......................

d –11 + 4 ...................... e 3 + (–5) ......................

5 Work out:

a –4 – 2 ...................... b 5 – (–2) ...................... c (–3) – (–5) .....................

d 8 – –3 ...................... e –6 – 2 ......................

1. What is one thousand minus one hundred and one?

11. Divide 120 by 4.


12. 9 x 6 = 30 + ?


2 , 3 , 5 , 8 , 12 ...

13. Subtract twenty-four from sixty-five.

4. What is one-fifth of thirty-five?

14. What must be added to seventy-six to make one hundred?

5. What is the product of 6 and 8?

15. One orange costs fifteen pence. How much will three oranges cost?


0.3 , 0.7 , 1.1 , 1.5 …

16. 24 + = 120 ÷ 3


17. (28 ÷ 4 ) x ( 7 – 2 )=

8. Multiply 5.7 by 100.

18. What is 5.6 divided by 8 ?

9. Which numbers are greater than

0.7 ? 0.37 0.9 0.08 0.69 0.71

19. What number is half-way between fifteen and thirty-seven?

10. What is five tenths added to three tenths?


(1,8), (7,8), (7,2) and (?,?)

Hand-in date:____________________ E2.4 Use conventional notation for the order of operations

1 Work out

a 5 + 2 × 6 .................................................................................... b 3 × 4 + 2 ........................................................................................

c 20 – 4 × 3 ................................................................................... d 6 + 18 ÷ 3 .....................................................................................

2 Work out

a 5 × 6 + 2 × 8 ............................................................................ b 30 ÷ 3 – 2 × 4 ............................................................................

.............................................................................................................. ................................................................................................................

c 9 × 4 + 3 × 7 ............................................................................ d 8 × 10 – 24 ÷ 4 .........................................................................

.............................................................................................................. ................................................................................................................ 3 Work out

a 5 × (6 + 3) .................................................................................. b (18 – 13) × 6 ...............................................................................

.............................................................................................................. .................................................................................................................

c (9 – 3) × (8 + 2) ................................................................... d (29 – 5) ÷ (4 + 2) .....................................................................

.............................................................................................................. ................................................................................................................. 4 Work out

a 37 – (6 × 3) .............................................................................. b (7 + 2) × (16 – 9) ......................................................................

............................................................................................................ ..................................................................................................................

c 7 × 5 + 3 × 8 ............................................................................ d 45 ÷ (8 – 3) ...................................................................................

............................................................................................................ ..................................................................................................................

e 28 ÷ 4 × 3 ................................................................................. f 20 + 8 × 2 – 24 ÷ 4 .................................................................

........................................................................................................... ..................................................................................................................

g 8 × 7 + 3 × 3 ........................................................................... h (30 – 12) ÷ 2 ................................................................................

.......................................................................................................... .................................................................................................................. 5 Work out

In c remember to square the 4 before you multiply by 3.

a 52 + 22 ....................................................................................... b (5 + 2)2 .......................................................................................

.......................................................................................................... ..................................................................................................................

c 3 × 42 ......................................................................................... d 100 – 82 ..........................................................................................

.......................................................................................................... .................................................................................................................. 6 Work out

a 5 × (10 – 7) ............................................................................ b 6 × 4 + 32 × 2 ..........................................................................

.......................................................................................................... ...................................................................................................................

c 100 + 7 × 5 ...................................................................... d 5 × 22 + 12 ......................................................................................

.......................................................................................................... ..................................................................................................................

1. What is one thousand subtract three hundred and fifty?



12. 7 x 5 = 80 - ?


31 , 26 , 21 ...

13. Subtract seventy-eight from one hundred.

4. What is one-quarter of twenty?

14. How many minutes are there in two hours?

5. What is five times three added to two times four?

15. What is the total of 162 and 253 ?

6. What are the missing numbers?

? , 3.2 , 2.4 , ? , 0.8

16. – 10 = 90 ÷ 3

7. What is 12 squared?

17. (6 x 3 ) + ( ? – 1 ) = 26


18. What is the product of 0.9 and 6 ?

9. Which numbers are greater than 0.6 ? 0.39 0.07 0.8 0.69 0.17

19. What number is half-way between 12 and 34?

10. What is ⅓ added to ⅚?


(3,3), (3,9), (9,9) and (?,?)

Hand-in date:____________________ E2.5 Writing expressions in words and vice versa

1 Use algebra to write:

a t plus 5 ..................................................................

b e minus 7 ..................................................................

c 1 more than x ..................................................................

d s decreased by 5 ..................................................................

e y and 2 added together ..................................................................

f 3 fewer than g ..................................................................

g the sum of d and 40 ..................................................................

h 5 less than m ..................................................................

i P increased by 99 ..................................................................

2 a There are s Smarties in a packet. Jason ate 10.

How many are left? .............................

b Sanjit is y years old. His brother Jamil is 2 years older.

How old is Jamil? .............................

c Kit boiled an egg for k minutes. Pat boiled his egg for 1 minute less.

How long did Pat spend boiling his egg? .............................

d Maria received m text messages yesterday and 4 today. How many did she receive

altogether? .............................

e Yuk Wah made a bracelet using m red and n blue beads. How many beads did she use?

.............................

f Jay charged his mobile phone with t minutes of talk time. He made calls lasting c minutes.

How many minutes of talk time were left on his phone? .............................

3 a Ping pong balls are sold in packs of 3.

How many balls are there in n packs? .............................

b A spider has 8 legs. How many legs do m spiders have? .............................

c Manku’s car petrol tank holds f litres. He used 5 full tanks on a holiday. How much petrol did he use?

.............................

1. Divide six hundred and eighty by ten.


2. What temperature is 6 degrees more than -2 degrees Celsius?

12. x 6 = 60 - 36


42 , 45 , 48 ...., ....

13. Subtract thirty-four from seventy-one.

4. What is one-sixth of forty-two?

14. What must be added to fifty-six to make one hundred?

5. What is five times four added to six times three?

15. One orange costs twenty-three pence. How much will four oranges cost?


0.06 , 0.12 , 0.18 …

16. – 15 = 75 ÷ 3

7. What is the square root of eighty-one?

17. (36 ÷ 6) + (4 x 3)=


0.5 0.17 0.07 1.7 0.071

18. Divide thirty-two by eight

9. What is one-quarter added to three eighths?

19. What number is half-way between twenty-one and fifty-three?

10. 8 biscuits cost 24p altogether.

How much do 5 biscuits cost?


(0,6), (0,0), (6,0) and (?,?)

Hand-in date:____________________ E2.6 Substitute numbers into formulae, equations and expressions

1 Work out the value of each of these expressions when x = 3.

a x + 4 ................................................................................................ b 5x ......................................................................................................... c x – 10 ............................................................................................. d 2x – 9 ................................................................................................ e 7 + x ............................................................................................... f 11 – 5x .............................................................................................

g x2 ....................................................................................................... h 2x2 ........................................................................................................

2 Work out the value of each of these expressions when p = 5 and q = 2.

a p + q ............................................................................................... b p – q ............................................................................................... ............................................................................................................. .............................................................................................................

c q – p ............................................................................................... d 2p + 3q ........................................................................................ ............................................................................................................. .............................................................................................................

e 5p – 4p ........................................................................................ f 6 – q – p ......................................................................................

............................................................................................................. .............................................................................................................

g 3q – p ............................................................................................ h p2 + q2 ............................................................................................

............................................................................................................. .............................................................................................................

i 3q2 ................................................................................................... j 10 – q3 ..........................................................................................

............................................................................................................. ............................................................................................................. 3 Work out the value of each of these expressions when x = 4 and y = 3 and z = 1.

a xy ...................................................................................................... b yz ......................................................................................................

............................................................................................................. .............................................................................................................

c 2xyz ................................................................................................ d 2xy + 3yz .................................................................................... ............................................................................................................. ............................................................................................................. ............................................................................................................. .............................................................................................................

e 5xy – yz ..................................................................................... f x2 + y2 + z2 .................................................................................

............................................................................................................. .............................................................................................................

g 4xy2 ................................................................................................. h z3 ......................................................................................................

............................................................................................................. ............................................................................................................. ............................................................................................................. .............................................................................................................

1. What is one thousand minus three hundred and one?



12. 5 x 6 = 90 ÷ ?


101 , 95 , 89 , 83 ...

13. Subtract twenty-six from seventy-nine.

4. What is one-seventh of forty-nine?

14. What must be added to thirty-six to make one hundred?

5. What is three times six added to seven times five?

15. One orange costs nineteen pence. How much will three oranges cost?


-19 , -15 , -11...

16. + 15 = 120 ÷ 4


17. (8 x 4 ) - ( 7 x 3 ) =


18. What is 56 divided by 8 ?

9. Which is the biggest number.

1.13 0.13 1.03 0.103 1.3

19. What number is half-way between six and twenty-four?

10. Five sweets cost 30p altogether. How much do seven sweets cost?


(3,2), (8,2), (8,7) and (?,?)

Hand-in date:____________________ E2.7 Simplify and manipulate algebraic expressions by collecting like terms 1 Simplify

a a + a + a + a ............................................................................ b 3b + 2b .............................................................................................

c c + 2c + 3c ................................................................................ d 4d + 2d + d + 3d .......................................................................

e 5e – 3e ......................................................................................... f 3f – f ...................................................................................................

g 7g + 3g – 8g ............................................................................ h 2hk + 8hk – 3hk .........................................................................

i 3m2 + m2 .................................................................................... j 9n2 – 2n2 – n2 ...............................................................................

2 Simplify

a 4p + 2p + 5q + q ................................................................... b 3r + 4r + 7s – 2s .....................................................................

.................................................................................................................. ................................................................................................................

c t + u + t + 3u ........................................................................... d 9v + 3w – 5v – 2w...................................................................

............................................................................................................. ................................................................................................................

e x + 4y + 3x – 2y .................................................................. f 3a – 9b – a + 5b........................................................................

............................................................................................................. ................................................................................................................

g 2c – 3d + 8c – 5d ............................................................... h e + 3f – 3e + 2f + 1 ................................................................

............................................................................................................. ................................................................................................................

i 2g – h + 4 – 3g + 7h – 5 ............................................... j 9j + k – 2m – 5j + 7 – 3m .................................................

............................................................................................................ ................................................................................................................. 3 The diagram shows a line made from three sections. The length of each section is given in centimetres.

5a –3b a + 7b 4b – 2a

Write down an expression, in terms of a and b, for the total length of this line.

..................................................................................................................................................................................................................................................

..................................................................................................................................................................................................................................................

1. What number is two less than three hundred and one?



12. 5 x 4 = 80 ÷ ?


41 , 36 , 31 , 26 , ... , ...

13. Subtract 35 from 52.

4. What is one-sixth of forty-eight?

14. What must be added to 56 to make one hundred?

5. What is 3 x 4 added to 6 x 5 ?

15. One orange costs 16p. How much will three oranges cost?


2.4 , 2.6 , 2.8 , ... , ...

16. 20 - = 28 ÷ 4


17. ( 5 x 3 ) + ( 18 ÷ 2 ) =

8. Divide 510 by 10

18. What is the sum of 24 and 12 divided by 9?

9. Which is the biggest number?

2.07 2.24 2.4 2 2.04

19. What number is half-way between twenty-three and fifty-one?

10. 5 biscuits cost 30p altogether. How much do 7 biscuits cost?


(-1,-1), (3,-1), (3,3) and (?,?)

Hand-in date:____________________ E2.8 Finding the averages and range of small sets of data. 1 Jasmine is learning to word process. She records the number of errors she makes on each page of typing. They are as follows:

6 9 5 6 8 2 4 9 6 1

a Write down her best score. ...................... b Write down her worst score. ......................

c Work out the range of her scores. ........................................................................................................................................................

d Write down the mode.........................................................................................................................................................

2 A factory owner records the number of employees absent in the first 7 days of the new year. The results are shown below.

8 10 9 5 10 3 11

a Write down the mode. ......................

b Work out the median number of employees absent.................................................................................................................................

c Work out the mean number of employees absent.....................................................................................................................................

d Work out the range of absentees.........................................................................................................................................................

3 Ten boys write down the number of computer games they own. The results are:

5 5 7 5 5 8 8 7 10 40

a Write down the mode ..........................................................

b Write down the median number of games ..........................................................

c Work out the mean number of games ..........................................................

d Which of the three averages best describes the number of games the boys have? .................................................

e Two more boys have 8 and 12 games respectively. How will this affect the mean, the mode and the median numbers of games?

.................................................................................................................................................................................................................................................

.................................................................................................................................................................................................................................................

.................................................................................................................................................................................................................................................

4 Five people work in an office. They do not all work the same number of hours. Their wages for one particular week are: £156 £100 £454 £160 £100

a Write down the mode. ......................

b Work out the median wage. ........................................................................................................................................................

c Work out the mean wage. ........................................................................................................................................................

d Which of the three averages best describes the wages of these office workers? Explain your answer.

..........................................................................................................................................................................................................................................

..........................................................................................................................................................................................................................................

..........................................................................................................................................................................................................................................

1. What number is five less than three hundred and two?



12. 6 x 3 = 23 - ?


17 , 23 , 29 , 35 , ... , ...


4. What is one-fifth of thirty-five?



15. One orange costs 15p. How much will four oranges cost?


? , 0.8 , 1.3 , 1.8 , ?

16. - 5 = 69 ÷ 3


17. ( 5 x 7 ) + ( ? – 6 ) = 56


18. What is the product of 0.8 and 7?

9. Which numbers are greater than 0.3? 0.39 0.07 0.29 0.19 0.4


10. 6 sweets cost 42p altogether. How much do 8 sweets cost?

20. The coordinates of a square are;

(4,4), (4,8), (8,8) and (?,?)

Hand-in date:____________________ E2.9 Interpret bar charts, pictograms and line graphs

1 The pictogram gives some information about the number of times students were absent from school last term. a How many were absent twice?

........................................................................................................................................................

There were five people absent 3 times and three people absent 4 times. b Complete the pictogram.

2 The dual bar chart gives information about the shoes sizes of 16 boys and 16 girls.

a Write down the most common size for the boys’ shoes...................................................................................................................

b Work out how many more boys than girls wore size 25 shoes......................................................................................................

c Compare the distributions of boys’ and girls’ shoes.

......................................................................................................................................................................................................................................................

......................................................................................................................................................................................................................................................

5 Here is a line graph showing the temperature in Carlisle over a 12-hour period in May.

a Estimate the temperature at 13.00.

.........................................................................................

b Between what times is the temperature stable?

.........................................................................................

c Between what times is the temperature falling?

.........................................................................................

d Between what times is the temperature rising fastest?

.........................................................................................

e At what times is the temperature 10°C?

.........................................................................................

1. What number is four less than five hundred and two?



12. 6 x 7 = 39 + ?


13 , 22 , 31 , 40 , ... , ...


4. What is one-sixth of twenty-four?





0.03 , 0.12 , 0.21 , … , ...

16. - 16 = 75 ÷ 3


17. ( 54 ÷ 6 ) + ( 8 x 3 ) =

8. Divide 207 by ten.

18. Divide seventy-two by eight.

9. Which is the smallest number?

0.5 0.57 0.09 1.49 0.071

19. What number is half-way between twenty-one and sixty-three?



(1,7), (1,1), (7,1) and (?,?)

Hand-in date:____________________ E2.10 Compare and order fractions with denominators all multiples of the same number

1 Arrange the following sets of fractions in order, from smallest to largest

………………………………………… …………………………………………….. …………………………………………….

………………………………………… …………………………………………….. …………………………………………….

2 Insert the correct sign (<, > or =) between these pairs of fractions

a) 23

79 b)

45

810

c) 37

514

d) 2330

710

e) 1724

34

f) 78

3540

3 Find the median of these sets of fractions:

a) 13

56

49

b) 15

310

415

c) 14

12

316

38

216

…………………. …………………. ………………….

1. What is one thousand minus five hundred and one?



12. 6 x 4 = 39 - ?


11 , 18 , 25 , 32 , ... , ...


4. What is one-sixth of fifty-four?





-15 , -11 , -7 , ... , ...

16. + 15 = 240 ÷ 4


17. ( 8 x 7 ) - ( 4 x 3 ) =


18. What is 48 divided by 8?


1.23 0.31 1.03 0.303 1.13

19. What number is half-way between six and thirty-two?

10. Four sweets cost 36p altogether. How much do seven sweets cost?


(5,2), (8,2), (8,5) and (?,?)

Hand-in date:____________________ E2.11 Add and subtract fractions 1 Work out.

........................................... ...........................................

........................................... ........................................... 2 Work out.

........................................... ...........................................

........................................... ...........................................

3 Work out.

........................................... ...........................................

........................................... ...........................................

1. What is one thousand minus six hundred and two?



12. 6 x 6 = 23 + ?


49 , 53 , 57 , 61 , ... , ...


4. What is one-quarter of thirty-six?





4.3 , 4 , 3.7 , ... , ...

16. 50 - = 28 + 14


17. ( 7 x 3 ) + ( 18 ÷ 2 ) =

8. Divide 600 by 10

18. What is the sum of 30 and 12 divided by 7?


2.68 2.86 2.8 2 2.806

19. What number is half-way between thirteen and forty-one?



(-7,-7), (6,-7), (6,6) and (?,?)

Hand-in date:____________________ E2.12 Convert percentages to fractions and decimals

1 30% of the cars in a car park are red. What percentage of the cars are not red?

........................................................................................................................................................

2 Damien got 75% of the questions in a test correct.

What percentage of the questions did Damien not get correct?

........................................................................................................................................................

Remember: Per cent means out of 100.

3 Write these percentages as decimals.

a 60% ......................................................... b 35% .........................................................

c 27% ......................................................... d 80% .........................................................

e 8% .........................................................

4 Write 17.5% as a decimal.

........................................................................................................................................................

5 Choose a fraction from the box to complete each statement.

a 50% = ......................................................... b 25% = .........................................................

c 75% = ......................................................... d 10% = .........................................................

e 30% = .........................................................

6 Write these percentages as fractions in their simplest form.

a 70% ......................................................... b 20% .........................................................

c 60% ......................................................... d 45% .........................................................

e 64% .........................................................

7 36% of the students in a class are boys. What fraction of the students are boys? Give your fraction in its simplest form.

..........................................................................

8 Which is bigger, 34 or 70%?

........................................................................................................................................................

1. What is one thousand minus seven hundred and two?



12. 6 x 9 = 23 + ?


43 , 49 , 55 , 61 , ... , ...


4. What is one-quarter of twenty-eight?





? , 0.9 , 1.3 , 1.7 , ?

16. - 5 = 45 ÷ 5


17. ( 6 x 7 ) + ( ? – 6 ) = 60

8. Divide 3.6 by 100.

18. What is the product of 0.9 and 7?

9. Which numbers are greater than 0.4? 0.29 0.09 0.6 0.49 0.4


10. 9 sweets cost 36p altogether. How much do 7 sweets cost?


(4,4), (4,6), (6,6) and (?,?)

Hand-in date:____________________ E2.13 Solving written problems involving division

1. A factory puts cakes into boxes of 6. How many boxes can they fill with 3285 cakes?

2. A factory puts 6 pencils in a pack. How many full packs can they make with 5310 pencils?

3. A farmer has 1843 eggs. A box takes 6 eggs. How many boxes will he need to transport all the eggs?

4.There are 645 people travelling on a ship. Life jackets come in packs of 4. How many packs are needed so that everyone has a life jacket?

5. A factory put cakes into boxes of 8. How many boxes can they fill with 3285 cakes?

6. A factory put cakes into boxes of 5. How many boxes can they fill with 3287 cakes?

7. A factory puts 8 pencils in a pack. How many full packs can the make with 5310 pencils?

8. A farmer has 18438 eggs. A box takes 6 eggs. How many boxes will he need to transport all the eggs?

9. 1645 people are travelling on a ship. Life jackets come in packs of 4. How many packs are needed so that everyone has a life jacket?

10. 1647 people are travelling on a ship. Life jackets come in packs of 4. How many packs are needed so that everyone has a life jacket?

1. What is one thousand minus five hundred and two?



12. 6 x 8 = 28 + ?


33 , 36 , 39 , 42 , ... , ...


4. What is one-quarter of forty?





0.02 , 0.12 , 0.22 , … , ...

16. - 15 = 100 ÷ 4


17. ( 54 ÷ 9 ) + ( 6 x 3 ) =

8. Divide 45.7 by ten.

18. Divide seventy-two by four.

9. Which is the smallest number?

0.502 0.57 0.59 0.5 0.051

19. What number is half-way between twenty-one and sixty-nine?



(5,9), (5,5), (9,5) and (?,?)

Hand-in date:____________________ E2.14 Derive and use the sum of angles in a triangle and quadrilateral

1 Work out the size of the missing angles in these quadrilaterals and triangles.

.................................. ..................................

.................................. ..................................

.................................. ..................................

................................................................................... 2 Explain why ACD cannot be a straight line.

...................................................................................................................................................................................................

................................................................................................................................................................................................

1. What is one thousand minus two hundred and three?



12. 6 x 6 = 28 + ?


38 , 34 , 30 , 26 , ... , ...


4. What is one-quarter of sixteen?





-21 , -15 , -9 , ... , ...

16. + 35 = 240 ÷ 3


17. ( 8 x 5 ) - ( 5 x 3 ) =




1.3 0.31 1.31 0.103 1.13

19. What number is half-way between twelve and thirty-six?

10. Six sweets cost 36p altogether. How much do seven sweets cost?


(7,3), (11,3), (7,7) and (?,?)

Hand-in date:____________________ E2.15 Round numbers to any given number of decimal places 1 Write these measurements to the nearest whole number.

a 3.6 kg ..................................... b 4.32 cm .....................................

c 10.49 s ..................................... d 909.502 m .....................................

e 2.63 cm ..................................... f 9.68 s .....................................

g 1503.2 km ..................................... h 8.27 g .....................................

2 Write these measurements to the nearest 100.

a 1520 m ..................................... b 273 g .....................................

c 84 s ..................................... d 143.5 cm .....................................

3 Write these numbers to 1 decimal place (1 d.p.)

a 3.54 ..................................... b 12.07 .....................................

c 0.73 ..................................... d 0.087 .....................................

e 9.98 .....................................

4 A chicken weighs 2.781 kg.

It is to be cooked according to the formula: Cooking time in minutes = (Weight in kg x 20) + 25 Rounding the weight to 1 d.p., how long would the chicken be cooked for?

.....................................................................................................................................................

5 Write these numbers to 2 decimal places.

a 7.7776 ..................................... b 13.925 .....................................

c 0.3487 ..................................... d 0.045 .....................................

e 6.0094 .....................................

6 Write these numbers to the number of decimal places indicated by the number in brackets.

a 0.0907 (2) ..................................... b 0.003 (1) .....................................

c 0.66666 (3) ..................................... d 1.0505 (1) .....................................

7 The distance between the two end posts of a fence is 876.3 cm.

Decide a suitable degree of accuracy to work out the amount of chain link fencing to be bought.

........................................................................................................................................................

1. What is one thousand minus eight hundred and one?


2. What temperature is 9 degrees less than 1 degree Celsius?

12. 9 x 6 = 47 + ?


35 , 31 , 27 , 23 , ... , ...


4. What is one-third of fifteen?





12 , 7 , 2 , ... , ...

16. + 75 = 360 ÷ 3


17. ( 8 x 4 ) - ( 5 x 2 ) =




1.7 0.71 0.17 0.703 1.73

19. What number is half-way between thirteen and forty-one?

10. Nine sweets cost 36p altogether. How much do seven sweets cost?


(8,3), (11,3), (8,6) and (?,?)

Maths Homework Booklet E2 - Turton School · 2019-09-09 · 14. What must be added to eighty -three...

Documents

Transcript of Maths Homework Booklet E2 - Turton School · 2019-09-09 · 14. What must be added to eighty -three...