11PlusDIY: MA-FT-001 · 2012. 9. 14. · MA-FT-001 Page 1 Q1: 8 17 3 11 31 Q2: 75506 75460 75488...
Transcript of 11PlusDIY: MA-FT-001 · 2012. 9. 14. · MA-FT-001 Page 1 Q1: 8 17 3 11 31 Q2: 75506 75460 75488...
11PlusDIY: MA-FT-001
Mathematics Familiarisation Test
11PlusDIY-MA-FT-001
All rights reserved. No part of this publication may be reproduced or transmitted in
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has been asserted by them in accordance with the Copyright, Designs and Patents
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liable to criminal prosecution and civil damages.
Format Standard or Multiple-choice
Maximum marks 40
Time 45 minutes
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1 Look at the fraction below and fill in the missing number.
4
17×4
10=[?]
85
2 Add Twenty Six Thousand, Four Hundred and Fifty Five with Forty Nine Thousand and Five
3 What is the Place Value of One in 7726816?
4 Select TWO prime numbers from the following options.
[58,29,62,34,31,82]
5 Select TWO square or cube numbers from the following options.
[508,125,406,676,167,896]
6 Round 224.7872462 to 4 place of decimals.
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7 The chart below shows the marks obtained by students in a recent exam. What is the MEAN of the
marks scored?
8 Represent 1/2 as a percentage
9 What percentage of the figure below is shaded?
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10 What will the co-ordinates of the marked point on the grid if it moves to RIGHT by 2?
11 Look at the shape below. The height and width of the shape are as shown in the figure in CM. If the
width of the shape is DOUBLED and the height of the shape is HALVED then what is the PERIMETER of
the new shape in CM?
12 A Builder used SQUARE tiles to cover a rectangular surface. Each side of the square tile was 35 cm and
he used 900 tiles to cover the surface. There were 20 tiles along one of the sides of the surface. What
was the AREA of the surface covered by the tiles?
13 A Builder used SQUARE tiles to cover a rectangular surface. Each side of the square tile was 30 cm and
he used 456 tiles to cover the surface. There were 12 tiles along one of the sides of the surface. What
was the PERIMETER of the surface covered by the tiles?
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14 The table below shows the prices for chocolates at a shop.
TUTIE FRUITIES 27 pence
BUTTONS 64 pence
MINT AERO 38 pence
CREME EGG 73 pence
M&MS 43 pence
LEXIE has £8.00 to do the shopping. If LEXIE buys 4 BUTTONS and 6 M&MS then how much money is
LEXIE left with?
15 The cost of Black Forest cake displayed in a bakery is £1.40 for a 175 gram slice. What is the cost of
the full Black Forest cake if it weighs 2.1 kilos?
16 At ALICIA's school there are 275 students. 28% like hockey. How many students do not like hockey?
17 SARAH's grandma is 5 times as old as SARAH will be in 2 years time. If grandma is 75 years old then
how old is SARAH?
18 LUCY, MARTHA, HOLLY and EMMA are each given fourteen JELLY BEANS from a bag and there are
seven left over. How many JELLY BEANS were originally in the bag?
19 Which of the following fractions is the LARGEST?
7
4,12
25,2
5,4
5
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20 Look at the shape below. The height of the rectangle is as shown in CM. If the perimeter of the
rectangle is 70 CM, then what is the area of the shaded triangle in Square CM?
21 5x + 8y = 9z
If x=17 and y=13 then what is the value of z?
22 A bus with 36 EMPTY seats starts from Chasetown. When the bus reaches Hatfield, 18 passengers get
on the bus. At the next stop of Caistor, 7 passengers get off and 6 get on the bus. How many total
passengers are on the bus when the bus departs Caistor?
23 The tally chart below shows the chocolate preferred by students in a school. Each symbol represents
2 students ($ = 2 students).
TERRYS CHOCOLATE $ $ $ $ $ $
RIPPLE $ $ $ $ $ $
MUNCHIES $ $ $ $ $ $ $
FLAKE $ $
MINT AERO $ $ $ $ $ $ $ $
JELLY BEANS $ $
BUTTONS $ $ $ $ $ $
TWIRL $ $ $ $
How many students like TWIRL?
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24 The table below shows the total weight of each type of cake and desserts being sold in a bakery.
Chocolate cake 0.774 Kgs
Dutch Apple Pie 0.936 Kgs
Coconut Cake 1.122 Kgs
Panettone 1.012 Kgs
Pancake 0.692 Kgs
What is the total weight of Coconut Cake and Panettone available for sale?
25 The image below shows the clockface as seen in a mirror. What is the actual time?
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26 The graph below shows the results of long jump competition at a local school in centi-meters (cm).
How much further did the winner of the competition jump as compared to student who came last?
27 Look at the number series below.
13, 29, 33, 16, [ ? ]
If the mode of the series is 16, then what is the missing number?
28 The table below shows the number of different types of chocolates sold from a vending machine.
KITKAT CHUNKY 29
TURKISH DELIGHT 31
KALIE 32
RIPPLE 19
KITKAT 15
What percentage of total sales were the two highest selling chocolates?
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29 A and B are two pulleys connected by a belt in a flour mill. For every FIVE complete turns pulley A
makes, pulley B makes TEN complete turns.
If pulley A makes SEVENTY FIVE turns, then how many turns will pulley B make?
30 In the rectangle below, the ratio of HEIGHT to WIDTH is 8:17.
If the HEIGHT is 96 meters, then what is the WIDTH?
31 EVE, EMILIA and MATILDA all bought some sweet. EVE has 28 sweets. EMILIA and MATILDA together
have a total of 41 sweets. EVE and EMILIA together have 47 sweets. How many sweets do the
children have in total?
32 An expedition is launching into space at 10:00 AM on 02 September 2012. They will return at 10:00
AM on 09 October 2012. How many days will the astronauts be in space?
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33 Look at the figure below.
If B = 11 centimetres and H = 0.15 meters, then what is the area of the shape in square-centimetres?
34 ISLA is going shopping for some chocolates. ISLA can buy 3 ROLOS and 1 MOW WOAMS for £2.18, or 2
ROLOS and 4 MOW WOAMS for £2.28. If each ROLOS costs £0.60, then how much does each MOW
WOAMS cost?
35 What are the new co-ordinates if following point is reflected in the Y axis.
( 16, 11 )
36 Put the correct Equality symbol in the equation below.
3
4+1
2+ 0.16[?]
7
20+ 0.4
37 Write the time shown below using 24 hour clock:
10:46 PM
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38 In a garage, the cost of servicing a car is calculated as:
Cost in £ = 46 + p + 16h, where 'p' is the cost of car parts and 'h' is the number of hours spent in fixing
it. Four cars were brought into the garage for servicing. The table below shows the cost of parts and
time spent on each car.
- Cost of Parts (£) Time for fixing (Hours)
PEUGEOT 145 6
KIA 179 2
HUMMER 266 4
JAGUAR 153 5
Which car was the cheapest to fix?
39 A mobile phone operator calculates the monthly bill of its customers using the following formula:
£11.00 + 0.13c + 0.84t, where 'c' is the total minutes of talk time in that month and 't' the number of
SMS messages sent. If LOLA spends 190 minutes on call per month and sends 190 SMS messages,
then what is the monthly bill?
40 In 7A + 7B + 7C, if A=-3, B=-5 and C=-8, what is the value of the expression?
MA-FT-001 Page 1
Q1:
8
17
3
11
Q2:
75506
75460
75488
75462
Q3:
Tens
Ten-Thousands
Hundred-Million
Million
Thousands
Q4:
58
29
62
34
31
82
Q5:
508
125
406
676
167
896
Q6:
224.787
224.78725
224.7872
224.7872462
Q7:
17
7
20
13
Q8:
48.36%
49.64%
50.0%
51.19%
Q9:
60.96%
62.36%
60.15%
62.50%
Q10:
(16,15)
( 12,12 )
( 18,7 )
( 11,11 )
Q11:
70
65
69
72
Q12:
108.79 sq-cm
66.51 sq-m
110.25 sq-cm
110.25 sq-m
Q13:
15.31 m
30 cm
29.66 cm
30 m
Q14:
£2.86
£4.91
£1.30
£1.55
Q15:
£14.73
£8.47
£16.80
£10.30
Q16:
212
198
195
214
Q17:
14
11
13
17
Q18:
65
63
59
66
Q19:
12/25
4/5
7/4
2/5
Q20:
150 sq cm
147 sq cm
149 sq cm
151 sq cm
Q21:
24
2
21
14
Q22:
10
6
8
17
Q23:
10
20
16
8
Q24:
1.761 Kgs
2.827 Kgs
2.717 Kgs
2.134 Kgs
MA-FT-001 Page 2
Q25:
11:30
02:40
02:55
10:45
Q26:
91 cm
104 cm
106 cm
90 cm
Q27:
22
19
15
16
Q28:
41 %
42 %
57 %
50 %
Q29:
150
139
134
130
Q30:
198
204
106
144
Q31:
73
71
68
69
Q32:
41
34
32
37
Q33:
441
444
495
450
Q34:
£0.30
£0.18
£0.15
£0.38
Q35:
( -16, 11 )
( -16, -11 )
( -11, -16 )
( 16, -11 )
Q36:
EQUALS ( = )
GREATER THAN ( > )
LESS THAN ( < )
INDETERMINATE
Q37:
1646
0446
2246
1046
Q38:
PEUGEOT
KIA
HUMMER
JAGUAR
Q39:
195.3
190.87
198.83
198.14
Q40:
-112
-109
-119
-103
MA-FT-001 Page 1
Answer Explanation
1 8 4
× 4
= 8
17 10 85
2 75460 26455 + 49005 = 75460
3 Tens
4 29 31 29 and 31 are prime numbers.
5 125 676 676 and 125 are square or cube numbers.
6 224.7872 224.7872
7 13 ( 22 + 5 + 9 + 24 + 12 + 10 + 7 + 23 + 5 ) / 9 = 13
8 50.0% 1/2 = 50.0%
9 62.50% 25 out of 40 = 62.50%
10 (16,15) Count the grid along the X and Y axis. Also note the starting point of the grid.
11 70 (2 x 30) + (2 x 5) = 70 cm
12 110.25 sq-m Area of each tile = 35 x 35 = 1225. The total area covered = 1225 x 900 = 110.25 sq-m
13 30 m Length of first side is = Tile Side x No of tiles used = 30 x 12 The length of second side
can be calculated by dividing the total tiles used by the number of tiles along one side.
The two sides therefore are 360 and 1140 cm
14 £2.86 Cost for 4 BUTTONS = £2.56. Cost for 6 M&MS = £2.58. Total cost = £5.14
15 £16.80 Given that each slice weights 175 grams and the full cake weights 2.1 kilos the cake has
12 slices. Multiply cost per slice of £1.40 by 12 to get £16.80.
16 198 If 28% like hockey then 72% do not like hockey. 72% of total student population = 198
17 13
18 63 There are Four children and each gets Fourteen sweets. The total sweets therefore = (4
x 14) + 7 = 63
19 7/4 The fractions in ascending order are = 2/5 , 12/25 , 4/5 , 7/4
20 147 sq cm If the perimeter is 70 cm then the base is 21 cm. The area is calculated as (base x
altitude)/2 = 147 sq cm
21 21 (5 x 17) + (8 x 13) = 9 x 21
22 17 Total passengers on the bus = 18 - 7 + 6 = 17
MA-FT-001 Page 2
23 8 Symbols x Multiple = 4 x 2 = 8
24 2.134 Kgs 1122 + 1012 = 2.134 Kgs Kgs
25 11:30 Mirror reflection.
26 90 cm Max = 210 cm. Min = 120 cm. The range = 210 - 120 = 90 cm.
27 16 Since all numbers occur only once in the series, the given mode must be the missing
number.
28 50 % (32 + 31) / 126 = 50 %
29 150 (10 / 5) x 75 = 150
30 204 (17 / 8) x 96 = 204.000
31 69 EVE has 28 sweets, EMILIA has 19 sweets and MATILDA has 22 sweets.
32 37 Calculate the days between the dates.
33 495 Calculate the area of one triangle and multiply it by 6.
34 £0.38 Cost of 3 ROLOS and 1 MOW WOAMS is £2.18 and cost of each ROLOS is £0.60.
Therefore cost of one MOW WOAMS is £0.38.
35 ( -16, 11 )
36 GREATER
THAN ( > )
Left hand side = 141/100 or 1.41, Right Hand side = 3/4 or 0.75.
37 2246
38 KIA Cost of fixing PEUGEOT = £287. Cost of fixing KIA = £257. Cost of fixing HUMMER = £376.
Cost of fixing JAGUAR = £279.
39 195.3 £11.00 + (£0.13 x 190) + (£0.84 x 190) = £195.30
40 -112 (7 x -3) + (7 x -5) + (7 x -8) = -112
11PlusDIY: MA-FT-002
Mathematics Familiarisation Test
11PlusDIY-MA-FT-002
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has been asserted by them in accordance with the Copyright, Designs and Patents
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Format Standard or Multiple-choice
Maximum marks 40
Time 45 minutes
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1 Look at the fraction below and fill in the missing number.
8
12×8
19=[?]
57
2 Add Thirty Thousand, Two Hundred and Ninety Two with Ninety Eight Thousand, Four Hundred and
Eighty Eight
3 What is the Place Value of Seven in 9267189 ?
4 Select TWO prime numbers from the following options.
[67,16,33,68,79,26]
5 Select TWO odd numbers from the following options.
[5283,614,4907,2730,3558,1118]
6 Select TWO square or cube numbers from the following options.
[777,756,289,934,529,759]
7 Calculate the following:
(16 × 60) + 28
8 Write Six Million, Seventy One Thousand, Four Hundred and Seventy Seven in numbers.
9 Round 418.125569 to 4 place of decimals.
10 Subtract 619.9 and 99.9637
11 Which of the following decimals is the LARGEST?
[19.11, 82.43, 85.330, 54.824, 98.2]
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12 The chart below shows the marks obtained by students in a recent exam. What is the MEDIAN of the
marks scored?
13 Represent 39/100 as a percentage
14 Reduce the fraction : 945/980
15 Which net below would make a cube where the two shaded sides adjacent to each other?
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16 Look at the shape below. The height and width of the shape are as shown in the figure in CM. If the
width of the shape is DOUBLED and the height of the shape is DOUBLED then what is the PERIMETER of
the new shape in CM?
17 A Builder used SQUARE tiles to cover a rectangular surface. Each side of the square tile was 45 cm and
he used 660 tiles to cover the surface. There were 15 tiles along one of the sides of the surface. What
was the PERIMETER of the surface covered by the tiles?
18 The table below shows the departure times of a bus from various stops on its route. The first bus
departs OLD MOAT at 06:20.
OLD MOAT 06:20 ?
LONGHOLME 06:40 ?
OUNDLE 07:05 ?
HYTHE WEST 07:15 ?
OAKLEY 07:40 11:45
HARLESDEN 07:55 ?
IMMINGHAM 08:10 ?
CHARNWOOD 08:35 ?
QUEENHITHE 08:45 ?
If the next bus on the same route departs OAKLEY at 11:45 then what time does it arrive at
QUEENHITHE?
19 ELIZABETH is baking a Cream Cheese Pound Cake. The recipe requires her to mix CREAM and FLOUR in
the ratio 13:18. If ELIZABETH uses 208 gms of CREAM then how much of FLOUR should she put in the
Cream Cheese Pound Cake?
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20 The table below shows the prices for chocolates at a shop.
MINSTRELS 74 pence
TURKISH DELIGHT 53 pence
GALAXY 64 pence
KITKAT 46 pence
DAIRY MILK 62 pence
SOPHIE has £6.00 to do the shopping. If SOPHIE buys 5 KITKAT and 4 TURKISH DELIGHT then how much
money is SOPHIE left with?
21 The cost of Tiramisu displayed in a bakery is £1.80 for a 175 gram slice. What is the cost of the full
Tiramisu if it weighs 1.75 kilos?
22 Last Sunday 6% of the employees in a factory were off sick and 10% were away on training. 350
employees work in the factory. How many employees were available for work?
23 ERIN's grandma is 6 times as old as ERIN was 1 years ago. If ERIN is 12 years old (now) then how old is
grandma?
24 LILLY, POPPY and EMMA are each given nine RIPPLE from a bag and there are seven left over. How
many RIPPLE were originally in the bag?
25 MARTHA, ALISHA, FLORENCE and SUMMER are all members of the school 4 x 400 meters relay team.
Their individual timings (in minutes and seconds) in a 400 meters run are 01:40, 01:10, 01:05 and 01:35
in that order. Because of the practice they are doing the team is expected to better their collective
relay race time by 20 seconds. What is the best time the team can hope for in the competition?
26 The names of students in a class are listed below. If a student was selected from the list at random
then what is the probability that their name STARTS-WITH'H'?
( HARRIET, HOLLIE, BROOKE, HOLLY, LEXI, LUCY, AVA, HANNAH, ISOBEL, LYDIA )
27 A map is drawn to the scale 9:39000. If the distance between two points on the map is 18 cm then
what is the real distance?
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28 The tally chart below shows the chocolate preferred by students in a school. Each symbol represents 12
students ($ = 12 students).
MILKA $ $
JELLY BEANS $ $ $ $ $ $ $ $
GALAXY $ $ $ $ $ $ $ $
KITKAT $ $ $ $ $ $ $ $ $ $
FLAKE $ $
How many students like KITKAT?
29 The table below shows the total weight of each type of cake and desserts being sold in a bakery.
Apple cake 722 gms
Pancake 1164 gms
Yule Log 1006 gms
Panettone 1064 gms
Lemon Cake 522 gms
Vanilla slice 1296 gms
What is the total weight of Pancake and Lemon Cake available for sale?
30 Time in PERU is 5 hours and 0 minutes BEHIND UK time. Time in CHINA is 8 hours and 0 minutes AHEAD
of the UK. If it is 06:20 in PERU then which of the following clocks is showing the correct time for
CHINA?
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31 The image below shows the clockface as seen in a mirror. What is the actual time?
32 Look at the series below:
( 14, 13.9, 13.8, 13.7, [___], 13.5 )
What is the value of the missing number in the series?
33 The graph below shows the results of long jump competition at a local school in centi-meters (cm).
How much further did the winner of the competition jump as compared to student who came last?
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34 The table below shows the number of different types of chocolates sold from a vending machine.
MILKA 45
TWIRL 41
KALIE 21
CARAMAC 34
SMARTIES 16
GALAXY 43
What percentage of total sales were the two highest selling chocolates?
35 MEGAN, SOPHIE and GRACIE all bought some sweet. MEGAN has 19 sweets. SOPHIE and GRACIE
together have a total of 33 sweets. MEGAN and SOPHIE together have 41 sweets. How many sweets do
the children have in total?
36 Library A has 61 more books than library B. This morning, the librarian moved 19 books from Library A
to Library B. How many fewer books are in Library B now as compared to Library A?
37 Look at the figure below.
If B = 11 centimetres and H = 0.39 meters, then what is the area of the shape in square-centimetres?
38 MEGAN is making a DUTCH APPLE PIE from a recipe which is in imperial units. The recipe requires 6 Oz
of Butter. Assuming 1 Oz = 30 gms and rounding to the nearest 5 gms, how much Butter should MEGAN
use?
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39 Use the table below to convert 58 grams into ounces.
13 gms 0.46 ounces
56 gms 1.98 ounces
59 gms 2.08 ounces
20 gms 0.71 ounces
23 gms 0.81 ounces
25 gms 0.88 ounces
40 In a garage, the cost of servicing a car is calculated as:
Cost in £ = 41 + p + 25h, where 'p' is the cost of car parts and 'h' is the number of hours spent in fixing
it.
Four cars were brought into the garage for servicing. The table below shows the cost of parts and time
spent on each car.
- Cost of Parts (£) Time for fixing (Hours)
JEEP 158 8
LAND ROVER 131 7
KIA 171 10
PEUGEOT 120 11
Which car was most expensive to fix?
MA-FT-002 Page 1
Q1:
16
14
25
10
Q2:
128761
128780
128774
128805
Q3:
Hundreds
Ten-Million
Million
Hundred-Million
Thousands
Q4:
67
16
33
68
79
26
Q5:
5283
614
4907
2730
3558
1118
Q6:
777
756
289
934
529
759
Q7:
136
747
10
988
Q8:
6071491
6071477
6071411
6071447
Q9:
418.1256
418.1
418.12557
418.125569
Q10:
519.9363
520.2363
520.2843
520.7763
Q11:
85.330
54.824
82.43
19.11
98.2
Q12:
19
17
10
11
Q13:
39.00%
39.30%
38.43%
38.72%
Q14:
26/32
29/27
22/25
27/28
Q15:
A
B
C
D
Q16:
133
139
136
134
Q17:
53.1 m
53.1 cm
37.44 m
38.55 cm
Q18:
11:05
12:50
09:35
09:10
Q19:
136 gms
164 gms
288 gms
387 gms
Q20:
£0.68
£0.58
£2.75
£1.58
Q21:
£3.30
£6.60
£12.64
£18.00
Q22:
307
294
289
298
Q23:
63
65
69
66
Q24:
32
34
33
30
MA-FT-002 Page 2
Q25:
05:30
04:40
04:45
05:10
Q26:
10/9
20/17
20/19
2/5
Q27:
22 kilo-meters
780 kilo-meters
780 meters
369 meters
Q28:
108
60
120
12
Q29:
1.920 Kgs
1.291 Kgs
2.284 Kgs
1.686 Kgs
Q30:
A
B
C
D
Q31:
03:35
07:25
05:35
05:40
Q32:
14.51
13.6
13.28
13.37
Q33:
98 cm
89 cm
90 cm
86 cm
Q34:
44 %
42 %
52 %
34 %
Q35:
56
52
54
50
Q36:
27
115
118
23
Q37:
1287
1179
1170
1176
Q38:
170
480
180
30
Q39:
1.10 ounces
2.23 ounces
2.05 ounces
4.79 ounces
Q40:
JEEP
LAND ROVER
KIA
PEUGEOT
MA-FT-002 Page 1
Answer Explanation
1 16 8
× 8
= 16
12 19 57
2 128780 30292 + 98488 = 128780
3 Thousands
4 67 79 67 and 79 are prime numbers.
5 5283 4907 4907 and 5283 are odd numbers.
6 289 529 529 and 289 are square or cube numbers.
7 988 Calculate the following:
(16 × 60) + 28 = 988
8 6071477 Six Million, Seventy One Thousand, Four Hundred and Seventy Seven in numbers is
6071477.
9 418.1256 418.1256
10 519.9363 619.9 - 99.9637 = 519.9363
11 98.2 The decimals in ascending order are - 19.11, 54.824, 82.43, 85.330, 98.2
12 10 The value in the middle when arranged in ascending order is 10
13 39.00% 39/100 = 39.00%
14 27/28 The common factor is 35. 945/980 = 27/28
15 C
16 136 (2 x 58) + (2 x 10) = 136 cm
17 53.1 m Length of first side is = Tile Side x No of tiles used = 45 x 15 The length of second side can
be calculated by dividing the total tiles used by the numbe of tiles along one side. The
two sides therefore are 675 and 1980 cm
18 12:50 Departure times for the next bus from destinations enroute : 10:25, 10:45, 11:10, 11:20,
11:45, 12:00, 12:15, 12:40, 12:50
19 288 gms Amount of FLOUR = (208 / 13) * 18 gms
20 £1.58 Cost for 5 KITKAT = £2.30. Cost for 4 TURKISH DELIGHT = £2.12. Total cost = £4.42
21 £18.00 Given that each slice weights 175 grams and the full cake weights 1.75 kilos the cake has
10 slices. Multiply cost per slice of £1.80 by 10 to get £18.00.
MA-FT-002 Page 2
22 294 6% of 350 is 21. 10% of 350 is 35. Therefore total employees available for work = 350 -
(21 + 35) = 294.
23 66
24 34 There are Three children and each gets Nine sweets. The total sweets therefore = (3 x 9) +
7 = 34
25 05:10 (01:40 + 01:10 + 01:05 + 01:35) - 20 seconds = 05:10
26 2/5 The names of students in a class are listed below. If a student was selected from the list
at random then what is the probability that their name STARTS-WITH'H'?
( HARRIET, HOLLIE, BROOKE, HOLLY, LEXI, LUCY, AVA, HANNAH, ISOBEL, LYDIA ). The
probability is therefore 2/5
27 780
meters
Actual distance = 39000 x (18 / 9) = 780 meters
28 120 Symbols x Multiple = 10 x 12 = 120
29 1.686 Kgs 1164 + 522 = 1.686 Kgs
30 D Add 05:00 and 08:00 to get the total time difference between PERU and CHINA.
31 05:40 Mirror reflection.
32 13.6 Each number in the series changes by -0.1.
33 90 cm Max = 200 cm. Min = 110 cm. The range = 200 - 110 = 90 cm.
34 44 % (45 + 43) / 200 = 44 %
35 52 MEGAN has 19 sweets, SOPHIE has 22 sweets and GRACIE has 11 sweets.
36 23 Library A had 127 books and Library B had 66 books before the move.
37 1287 Calculate the area of one triangle and multiply it by 6.
38 180 1 oz = 30 gms, therefore 6 Oz = 6 x 30 = 180 gms
39 2.05
ounces
Add the table entries for 13, 25 and 20 grams.
40 KIA Cost of fixing JEEP = £399. Cost of fixing LAND ROVER = £347. Cost of fixing KIA = £462.
Cost of fixing PEUGEOT = £436.
11PlusDIY: MA-FT-003
Mathematics Familiarisation Test
11PlusDIY-MA-FT-003
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recording or any information storage or retrieval system without written permission
from Quattro Ethereal Ltd.
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has been asserted by them in accordance with the Copyright, Designs and Patents
Act 1998.
Any person who commits any unauthorised act in relation to this publication may be
liable to criminal prosecution and civil damages.
Format Standard or Multiple-choice
Maximum marks 40
Time 45 minutes
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1 Look at the fraction below and fill in the missing number. 5
11+4
16=
31
[?]
2 Look at the fraction below and fill in the missing number. 8
20−1
10=
3
[?]
3 Look at the fraction below and fill in the missing number. 6
12×9
19=[?]
38
4 Which of the following is NOT a factor of 72?
[2, 3, 36, 8, 7]
5 Add Sixty Three Thousand, Six Hundred and Thirty Five with Sixteen Thousand, Five Hundred and Ten
6 What is the Place Value of Two in 1067325 ?
7 Select TWO prime numbers from the following options.
[7,93,35,91,79,32]
8 Select TWO odd numbers from the following options.
[6105,2092,1984,5405,2060,8962]
9 Calculate the following:
61 - (49 - 14)
10 Write Six Million, Ten Thousand, Seven Hundred and Twelve in numbers.
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11 The chart below shows the marks obtained by students in a recent exam. What is the MEDIAN of the
marks scored?
12 Represent 1/2 as a percentage
13 What will the co-ordinates of the marked point on the grid if it moves to UP by 2?
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14 A Builder used SQUARE tiles to cover a rectangular surface. Each side of the square tile was 40 cm and
he used 506 tiles to cover the surface. There were 22 tiles along one of the sides of the surface. What
was the PERIMETER of the surface covered by the tiles?
15 Look at the Venn diagram below. It shows how many children in Mr GRIFFITHS’s class like ROLOS,
TERRYS CHOCOLATE or both. 4 children like neither. There are 27 children in the class. 18 children like
ROLOS and 12 like TERRYS CHOCOLATE How many children in the class do not like ROLOS?
16 The table below shows the departure times of a bus from various stops on its route. The first bus
departs ASH WHARF at 07:05.
ASH WHARF 07:05 ?
HOVETON 07:15 ?
HELMSHORE 07:25 ?
RISCA EAST 07:40 ?
CHARNOCK 07:45 12:35
WALLASEY 08:10 ?
FRIMLEY 08:25 ?
PENTWYN 08:40 ?
OCKENDON 09:05 ?
If the next bus on the same route departs CHARNOCK at 12:35 then what time does it arrive at
OCKENDON?
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17 The table below shows the prices for chocolates at a shop.
MILKA 35 pence
CREME EGG 47 pence
SOFT MINTS 47 pence
RIPPLE 46 pence
CURLY WURLY 70 pence
ALISHA has £7.00 to do the shopping. If ALISHA buys 4 CURLY WURLY and 5 CREME EGG then how
much money is ALISHA left with?
18 The cost of Jaffa Cakes displayed in a bakery is £1.64 for a 175 gram slice. What is the cost of the full
Jaffa Cakes if it weighs 1.75 kilos?
19 MADISON's grandma is 7 times as old as MADISON was 3 years ago. If MADISON is 12 years old (now)
then how old is grandma?
20 MILLIE, AVA, LIBBY and ISABELLE are each given seventeen SMARTIES from a bag and there are twelve
left over. How many SMARTIES were originally in the bag?
21 The table below shows the temperatures recorded in cities around the world.
Niger - Niamey -10 deg C
Norway - Oslo 18 deg C
Italy - Rome -9 deg C
China - Beijing 20 deg C
Peru - Lima 5 deg C
Turkey - Ankara 27 deg C
Rwanda - Kigali 13 deg C
Iraq - Baghdad -5 deg C
Greece - Athens 19 deg C
Zambia - Lusaka 12 deg C
Which city was the hottest?
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22 The names of students in a class are listed below. If a student was selected from the list at random
then what is the probability that their name STARTS-WITH'E'?
( ANNA, BROOKE, FREYA, MEGAN, EVIE, CHARLOTTE, ELEANOR, EVA, ELIZABETH, HOLLIE )
23 How many VERTICES do Seven HEXAGONAL PRISIMs and Three 3D-CONEs have together between
them?
24 The table below shows the total weight of each type of cake and desserts being sold in a bakery.
Teacake 694 gms
Crumb Cake 1736 gms
Vanilla slice 1.484 Kgs
Sponge cake 0.944 Kgs
Angel food cake 0.608 Kgs
What is the total weight of Crumb Cake and Vanilla slice available for sale?
25 The table below shows the number of drink cans sold from a vending machine on each day of the
week.
Monday 9
Tuesday 7
Wednesday 2
Thursday 1
Friday 14
Saturday 9
Sunday ?
if the average sale per day was 8, then how many cans were sold on Sunday?
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26 The image below shows the clockface as seen in a mirror. What is the actual time?
27 The graph below shows the results of long jump competition at a local school in centi-meters (cm).
How much further did the winner of the competition jump as compared to student who came last?
28 Look at the number series below.
36, 22, 44, 12, 8, 20, 6, 9, 7, 37, [ ? ]
If the median of the series is 17, then what is the missing number?
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29 AVA selected one of the spinners from the ones shown below.
The selected spinner landed on an ODD number each time in a HUNDRED tries. Which spinner do you
think AVA selected?
30 The table below shows the distances between different towns in Km (kilo meters).
-
BU
DE
SO
UT
H
PIC
KE
RIN
G
DE
CK
HA
M
TR
EN
T
BE
CK
TO
N
WE
ED
ON
BUDE SOUTH 0 51 73 91 80 78
PICKERING 51 0 74 77 44 82
DECKHAM 73 74 0 89 69 35
TRENT 91 77 89 0 11 79
BECKTON 80 44 69 11 0 58
WEEDON 78 82 35 79 58 0
ESME travelled from DECKHAM to TRENT and then from TRENT to WEEDON. How many KM did ESME
cover in total?
31 LEXIE, LIBBY and ALEXANDRA all bought some sweet. LEXIE has 14 sweets. LIBBY and ALEXANDRA
together have a total of 37 sweets. LEXIE and LIBBY together have 24 sweets. How many sweets does
LIBBY have?
32 The sum of THREE consecutive numbers is 126. What is the smallest of these three numbers?
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33 Library A has 52 more books than library B. This morning, the librarian moved 11 books from Library A
to Library B. How many fewer books are in Library B now as compared to Library A?
34 Look at the figure below.
If B = 18 centimetres and H = 0.31 meters, then what is the area of the shape in square-centimetres?
35 A comic costs 23 pence less than a book. If Three books and Two comics cost £1.54, then what is the
price of a comic?
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36 The temperature recorded in five different locations is shown below.
What is the temperature range?
37 FRANCESCA's car use 95% of a full tank of petrol in travelling 475 Km. How much further can it go on
the remaining tank?
38 6 GALAXY and 3 SOFT MINTS cost £4.02. 3 SOFT MINTS and 6 MINT AERO cost £5.04. How much does
1 GALAXY, 1 SOFT MINTS and 1 MINT AERO cost?
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39 In a garage, the cost of servicing a car is calculated as:
Cost in £ = 71 + p + 15h, where 'p' is the cost of car parts and 'h' is the number of hours spent in fixing
it.
Four cars were brought into the garage for servicing. The table below shows the cost of parts and
time spent on each car.
- Cost of Parts (£) Time for fixing (Hours)
MERCEDES-BENZ 269 6
VOLKSWAGEN 147 3
SAAB 238 2
LINCOLN 226 7
Which car was most expensive to fix?
40 Simplify the following algebraic expression:
6o + 3v + 4h + 4o
MA-FT-003 Page 1
Q1:
53
25
44
30
Q2:
10
6
9
15
Q3:
10
12
9
8
Q4:
2
3
36
8
7
Q5:
80155
80138
80115
80145
Q6:
Tens
Ten-Million
Ten-Thousands
Hundreds
Thousands
Q7:
7
93
35
91
79
32
Q8:
6105
2092
1984
5405
2060
8962
Q9:
11
26
20
31
Q10:
6010742
6010712
6010713
6010771
Q11:
19
13
4
16
Q12:
48.2%
49.87%
50.0%
49.89%
Q13:
(11,14)
( 13,15 )
( 13,9 )
( 6,6 )
Q14:
36 cm
20.58 cm
36 m
42.41 m
Q15:
9
15
11
5
16
Q16:
09:55
13:55
10:55
10:15
Q17:
£0.20
£1.35
£2.62
£1.85
Q18:
£1.72
£11.73
£11.98
£16.40
Q19:
66
63
58
61
Q20:
75
80
76
84
Q21:
Turkey - Ankara
Rwanda - Kigali
Niger - Niamey
Greece - Athens
Q22:
20/19
20/15
2/5
10/7
Q23:
87
91
73
7
Q24:
3.22 Kgs
1.82 Kgs
2.119 Kgs
2.622 Kgs
MA-FT-003 Page 2
Q25:
12
5
11
14
Q26:
06:50
04:20
04:10
06:15
Q27:
142 cm
126 cm
145 cm
162 cm
Q28:
19
15
17
26
Q29:
A
B
C
D
Q30:
168
179
174
158
Q31:
14
9
10
5
Q32:
38
41
36
44
Q33:
99
30
75
55
Q34:
1674
1665
1677
1682
Q35:
£0.45
£0.15
£0.17
£0.38
Q36:
39
34
42
37
Q37:
331
25
34
500
Q38:
£1.51
£0.54
£0.10
£0.18
Q39:
MERCEDES-BENZ
VOLKSWAGEN
SAAB
LINCOLN
Q40:
12o + 3v + 7h
8o + 9v + 5h
12o + 7v + 2h
10o + 3v + 4h
MA-FT-003 Page 1
# Answer Explanation
1 44 5
+ 4
= 31
11 16 44
2 10 8
- 1
= 3
20 10 10
3 9 6
× 9
= 9
12 19 38
4 7 The factors of 72 are 1, 2, 3, 4, 6, 8, 12, 18, 24, 36, 72
5 80145 63635 + 16510 = 80145
6 Tens
7 7 79 7 and 79 are prime numbers.
8 6105 5405 5405 and 6105 are odd numbers.
9 26 Calculate the following:
61 - (49 - 14) = 26
10 6010712 Six Million, Ten Thousand, Seven Hundred and Twelve in numbers is 6010712.
11 13 The values in the middle when arranged in ascending order are 11 and 15. The median
is ( 11 + 15 ) / 2 = 13
12 50.0% 1/2 = 50.0%
13 (11,14) Count the grid along the X and Y axis. Also note the starting point of the grid.
14 36 m Length of first side is = Tile Side x No of tiles used = 40 x 22 The length of second side
can be calculated by dividing the total tiles used by the numbe of tiles along one side.
The two sides therefore are 880 and 920 cm
15 9 Calculate from Venn diagram shown.
16 13:55 Departure times for the next bus from destinations enroute : 11:55, 12:05, 12:15,
12:30, 12:35, 13:00, 13:15, 13:30, 13:55
17 £1.85 Cost for 4 CURLY WURLY = £2.80. Cost for 5 CREME EGG = £2.35. Total cost = £5.15
18 £16.40 Given that each slice weights 175 grams and the full cake weights 1.75 kilos the cake
has 10 slices. Multiply cost per slice of £1.64 by 10 to get £16.40.
19 63
MA-FT-003 Page 2
20 80 There are Four children and each gets Seventeen sweets. The total sweets therefore =
(4 x 17) + 12 = 80
21 Turkey -
Ankara
27 was the maximum temperature
22 2/5 The names of students in a class are listed below. If a student was selected from the list
at random then what is the probability that their name STARTS-WITH'E'?
( ANNA, BROOKE, FREYA, MEGAN, EVIE, CHARLOTTE, ELEANOR, EVA, ELIZABETH,
HOLLIE ). The probability is therefore 2/5
23 87 HEXAGONAL PRISIM has 12 vertices. 3D-CONE has 1 vertices.
24 3.22 Kgs 1736 + 1484 = 3.22 Kgs Kgs
25 14 Total sales for the week excluding Sunday = 42. Therefore sale for Sunday = (8 x 7 ) - 42
= 14
26 04:20 Mirror reflection.
27 145 cm Max = 220 cm. Min = 75 cm. The range = 220 - 75 = 145 cm.
28 17 The median is given. This median has to be one of the numbers in the series.
29 B The answer is the spinner with only ODD numbers.
30 168 Distance from DECKHAM to TRENT is 89 km and from TRENT to WEEDON is 79 km.
Total = 168 km
31 10 LEXIE has 14 sweets, LIBBY has 10 sweets and ALEXANDRA has 27 sweets.
32 41 If N is the middle number of the series then, N + (N -1) + (N + 1) = 3N = 126. Thus N -1 =
41
33 30 Library A had 108 books and Library B had 56 books before the move.
34 1674 Calculate the area of one triangle and multiply it by 6.
35 £0.17 (£0.40 x 3) + (£0.17 x 2 = £1.54
36 39 Maximum = 31, Minimum = -8, therefore Range = 39
37 25 The car can travel 500 on the full tank.
38 £1.51 Add the cost of both combinations together. This will give you the price of 6 of each
items.
39 MERCEDES-
BENZ
Cost of fixing MERCEDES-BENZ = £430. Cost of fixing VOLKSWAGEN = £263. Cost of
fixing SAAB = £339. Cost of fixing LINCOLN = £402.
40 10o + 3v +
4h
11PlusDIY: MA-FT-004
Mathematics Familiarisation Test
11PlusDIY-MA-FT-004
All rights reserved. No part of this publication may be reproduced or transmitted in
any form or by any means, electronic or mechanical including photocopying,
recording or any information storage or retrieval system without written permission
from Quattro Ethereal Ltd.
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has been asserted by them in accordance with the Copyright, Designs and Patents
Act 1998.
Any person who commits any unauthorised act in relation to this publication may be
liable to criminal prosecution and civil damages.
Format Standard or Multiple-choice
Maximum marks 40
Time 45 minutes
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1 Look at the fraction below and fill in the missing number.
4
19+4
14=�?
133
2 Look at the fraction below and fill in the missing number. 8
16−1
11=
9
�?
3 Which of the following is NOT a factor of 152?
[2, 19, 9, 4, 76]
4 Add Twenty Three Thousand, Eight Hundred and Thirty Five with Eighty One Thousand, Eight Hundred
and Eighty One
5 What is the Place Value of Two in 368823 ?
6 Select TWO odd numbers from the following options.
[7257,3425,4408,2012,1144,5712]
7 Round 86.22335 to 2 place of decimals.
8 Which of the following decimals is the LARGEST?
[13.7, 15.2, 38.176, 35.41, 67.9]
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9 The chart below shows the rainfall recorded during the week. What is the RANGE of the rainfall
recorded?
10 Represent 1/8 as a percentage
11 Reduce the fraction : 744/996
12 Which net below would make a cube where the two shaded sides adjacent to each other?
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13 Look at the shape below. The height and width of the shape are as shown in the figure in CM. If the
width of the shape is DOUBLED and the height of the shape is DOUBLED then what is the PERIMETER
of the new shape in CM?
14 A Builder used SQUARE tiles to cover a rectangular surface. Each side of the square tile was 50 cm and
he used 924 tiles to cover the surface. There were 21 tiles along one of the sides of the surface. What
was the AREA of the surface covered by the tiles?
15 A Builder used SQUARE tiles to cover a rectangular surface. Each side of the square tile was 10 cm and
he used 555 tiles to cover the surface. There were 15 tiles along one of the sides of the surface. What
was the PERIMETER of the surface covered by the tiles?
16 The table below shows the prices for chocolates at a shop.
MILKY BAR 51 pence
TWIX 36 pence
SOFT MINTS 53 pence
KITKAT CHUNKY 39 pence
CARAMAC 54 pence
HANNAH has £7.00 to do the shopping. If HANNAH buys 5 CARAMAC and 5 MILKY BAR then how
much money is HANNAH left with?
17 The cost of Banoffee Pie displayed in a bakery is £1.11 for a 175 gram slice. What is the cost of the full
Banoffee Pie if it weighs 1.4 kilos?
18 At ELIZABETH's school there are 220 students. 35% like swimming. How many students do not like
swimming?
19 LAUREN's grandma is 7 times as old as LAUREN was 3 years ago. If grandma is 77 years old then how
old is LAUREN?
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20 TIA, EMILY, AMELIE, LEXI and ROSIE are each given eighteen SOFT MINTS from a bag and there are
three left over. How many SOFT MINTS were originally in the bag?
21 Look at the shape below. The height of the rectangle is as shown in CM. If the perimeter of the
rectangle is 38 CM, then what is the area of the shaded triangle in Square CM?
22 If one of the angles of a triangle is 37 degrees, and the second and is thrice of the first angle, then
how much is the third angle in degrees?
23 5x + 10y = 5z
If x=4 and y=3 then what is the value of z ?
24 The table below shows the total weight of each type of cake and desserts being sold in a bakery.
Gingerbread 1.818 Kgs
Teacake 826 gms
Crumb Cake 1.486 Kgs
Milk Cake 1.888 Kgs
What is the total weight of Crumb Cake and Teacake available for sale?
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25 The table below shows the number of drink cans sold from a vending machine on each day of the
week.
Monday 11
Tuesday 9
Wednesday 7
Thursday 11
Friday ?
Saturday 17
Sunday 1
if the average sale per day was 9, then how many cans were sold on Friday?
26 Time in CANADA is 4 hours and 0 minutes BEHIND UK time. Time in ISRAEL is 2 hours and 0 minutes
AHEAD of the UK. If it is 04:05 in CANADA then which of the following clocks is showing the correct
time for ISRAEL?
27 The image below shows the clockface as seen in a mirror. What is the actual time?
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28 Look at the 4 sets of numbers below.
A 64 49 61
B 27 8 125
C 1 47 125
D 37 83 64
Which of the series has CUBE NUMBER - CUBE NUMBER - CUBE NUMBER in that order?
29 Look at the series below:
( 41, [___], 39.2, 38.3, 37.4, 36.5 )
What is the value of the missing number in the series?
30 The graph below shows the results of long jump competition at a local school in centi-meters (cm).
How much further did the winner of the competition jump as compared to student who came last?
31 Look at the number series below.
16, 20, [ ? ], 24, 17
If the average of the series is 20, then what is the missing number?
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32 A and B are two pulleys connected by a belt in a flour mill. For every TWO complete turns pulley A
makes, pulley B makes FOUR complete turns.
If pulley A makes ONE HUNDRED AND TWENTY THREE turns, then how many turns will pulley B
make?
33 From a 6 meter length of ribbon I cut 155 centi-meters and then 1.51 meters. How much ribbon is
left?
34 An expedition is launching into space at 10:00 AM on 02 June 2012. They will return at 10:00 AM on
25 June 2012. How many days will the astronauts be in space?
35 In the table below, when all the nine cells are filled in, all the rows and all the columns add up to 54
14 - -
- M 23
22 26 -
What is the value of M?
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36 The temperature recorded in five different locations is shown below.
What is the average temperature?
37 Write the time shown below using 24 hour clock:
08:19 PM
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38 In a garage, the cost of servicing a car is calculated as:
Cost in £ = 33 + p + 14h, where 'p' is the cost of car parts and 'h' is the number of hours spent in fixing
it. Four cars were brought into the garage for servicing. The table below shows the cost of parts and
time spent on each car.
- Cost of Parts (£) Time for fixing (Hours)
MAZDA 183 7
LAMBORGHINI 262 2
SUZUKI 125 5
CADILLAC 260 4
Which car was most expensive to fix?
39 A mobile phone operator calculates the monthly bill of its customers using the following formula:
£0.00 + 0.74c + 0.39t, where 'c' is the total minutes of talk time in that month and 't' the number of
SMS messages sent.
If SKYE spends 50 minutes on call per month and sends 180 SMS messages, then what is the monthly
bill?
40 Simplify the following algebraic expression:
2f + 7y + 8k + 6k + 2g
MA-FT-004 Page 1
Q1:
5
46
66
47
Q2:
2
22
11
4
Q3:
2
19
9
4
76
Q4:
105716
105729
105706
105708
Q5:
Tens
Hundreds
Hundred-
Thousands
Ten-Million
Hundred-Million
Q6:
7257
3425
4408
2012
1144
5712
Q7:
86.22335
86.2
86.2234
86.22
Q8:
67.9
38.176
13.7
15.2
35.41
Q9:
23
16
11
25
Q10:
12.93%
11.90%
12.50%
10.80%
Q11:
58/85
59/86
66/82
62/83
Q12:
A
B
C
D
Q13:
164
167
168
166
Q14:
231 sq-m
49.61 sq-m
62.86 sq-cm
231 sq-cm
Q15:
16.29 cm
10.4 m
49.98 m
10.4 cm
Q16:
£3.37
£0.39
£1.75
£3.20
Q17:
£10.64
£8.80
£2.54
£8.88
Q18:
143
151
136
129
Q19:
14
9
13
18
Q20:
94
93
97
88
Q21:
37 sq cm
42 sq cm
41 sq cm
45 sq cm
Q22:
32
72
118
36
Q23:
16
10
24
15
Q24:
2.329 Kgs
1.75 Kgs
2.312 Kgs
2.658 Kgs
MA-FT-004 Page 2
Q25:
1
16
7
11
Q26:
A
B
C
D
Q27:
02:20
05:10
06:40
08:40
Q28:
A
B
C
D
Q29:
39.89
41.44
40.1
41.91
Q30:
115 cm
114 cm
122 cm
95 cm
Q31:
21
29
23
31
Q32:
246
233
248
239
Q33:
5.32 meters
8.34 meters
2.94 meters
7.4 meters
Q34:
26
22
27
23
Q35:
11
6
13
15
Q36:
14
15
12
11
Q37:
2019
0219
0819
1419
Q38:
MAZDA
LAMBORGHINI
SUZUKI
CADILLAC
Q39:
108.8
109.46
107.2
110.36
Q40:
5f + 4y + 12k + 3g
5f + 6y + 13k + 3g
5f + 8y + 13k + 5g
2f + 7y + 14k + 2g
MA-FT-004 Page 1
Answer Explanation
1 66 4
+ 4
= 66
19 14 133
2 22 8
- 1
= 9
16 11 22
3 9 The factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152
4 105716 23835 + 81881 = 105716
5 Tens
6 7257 3425 7257 and 3425 are odd numbers.
7 86.22 86.22
8 67.9 The decimals in ascending order are - 13.7, 15.2, 35.41, 38.176, 67.9
9 16 Maximum and Minimum values are 19 and 3. The range is ( 19 - 3 ) = 16
10 12.50% 1/8 = 12.50%
11 62/83 The common factor is 12. 744/996 = 62/83
12 B
13 168 (2 x 58) + (2 x 26) = 168 cm
14 231 sq-m Area of each tile = 50 x 50 = 2500. The total area covered = 2500 x 924 = 231 sq-m
15 10.4 m Length of first side is = Tile Side x No of tiles used = 10 x 15 The length of second side can
be calculated by dividing the total tiles used by the numbe of tiles along one side. The
two sides therefore are 150 and 370 cm
16 £1.75 Cost for 5 CARAMAC = £2.70. Cost for 5 MILKY BAR = £2.55. Total cost = £5.25
17 £8.88 Given that each slice weights 175 grams and the full cake weights 1.4 kilos the cake has 8
slices. Multiply cost per slice of £1.11 by 8 to get £8.88.
18 143 If 35% like swimming then 65% do not like swimming. 65% of total student population =
143
19 14
20 93 There are Five children and each gets Eighteen sweets. The total sweets therefore = (5 x
18) + 3 = 93
MA-FT-004 Page 2
21 42 sq cm If the perimeter is 38 cm then the base is 12 cm. The area is calculated as (base x
altitude)/2 = 42 sq cm
22 32 The third angle = 180 - (37 + 111) = 32 degrees
23 10 (5 x 4) + (10 x 3) = 5 x 10
24 2.312 Kgs 1486 + 826 = 2.312 Kgs Kgs
25 7 Total sales for the week excluding Friday = 56. Therefore sale for Friday = (9 x 7 ) - 56 = 7
26 B Add 04:00 and 02:00 to get the total time difference between CANADA and ISRAEL.
27 02:20 Mirror reflection.
28 B
29 40.1 Each number in the series changes by -0.9.
30 115 cm Max = 220 cm. Min = 105 cm. The range = 220 - 105 = 115 cm.
31 23 Missing number = (20 x 5) - 77 = 23
32 246 (4 / 2) x 123 = 246
33 2.94
meters
6 - (1.55 + 1.51) = 2.94 meters
34 23 Calculate the days between the dates.
35 13 Fill in all rows and columns to add up to 54.
36 15 Sum of all / 5 = 75/5 = 15
37 2019
38 CADILLAC Cost of fixing MAZDA = £314. Cost of fixing LAMBORGHINI = £323. Cost of fixing SUZUKI
= £228. Cost of fixing CADILLAC = £349.
39 107.2 £0.00 + (£0.74 x 50) + (£0.39 x 180) = £107.20
40 2f + 7y +
14k + 2g
11PlusDIY: MA-FT-005
Mathematics Familiarisation Test
11PlusDIY-MA-FT-005
All rights reserved. No part of this publication may be reproduced or transmitted in
any form or by any means, electronic or mechanical including photocopying,
recording or any information storage or retrieval system without written permission
from Quattro Ethereal Ltd.
The right of 11PlusDIY-Quattro Ethereal Ltd to be identified as author of this work
has been asserted by them in accordance with the Copyright, Designs and Patents
Act 1998.
Any person who commits any unauthorised act in relation to this publication may be
liable to criminal prosecution and civil damages.
Format Standard or Multiple-choice
Maximum marks 40
Time 45 minutes
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1 Look at the fraction below and fill in the missing number.
2
5+6
7=
44
[?]
2 Look at the fraction below and fill in the missing number.
7
8−9
11=
5
[?]
3 Look at the fraction below and fill in the missing number.
8
9×1
12=[?]
27
4 Add Sixty One Thousand, One Hundred and Seventy Two with Four Thousand, Nine Hundred and
Thirty Four
5 What is the Place Value of Four in 9480682 ?
6 Select TWO prime numbers from the following options.
[1,3,41,24,68,16]
7 Select TWO odd numbers from the following options.
[8743,1870,5936,8670,3241,8044]
8 Calculate the following:
(46 × 53) - 40
9 Write One Million, One Hundred and Seventy Four Thousand and Fourteen in numbers.
10 Round 910.275263 to 3 place of decimals.
11 Subtract 265.30 and 228.303
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12 Reduce the fraction : 147/378
13 What percentage of the figure below is shaded?
14 Which net below would make a cube where the two shaded sides adjacent to each other?
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15 Look at the shape below. The height and width of the shape are as shown in the figure in CM. If the
width of the shape is HALVED and the height of the shape is HALVED then what is the AREA of the new
shape in CM Square?
16 Look at the Venn diagram below. It shows how many children in Mr WORDENÆs class like DAIRY MILK,
MINSTRELS or both. 2 children like neither. There are 33 children in the class. 17 children like DAIRY
MILK and 22 like MINSTRELS How many children in the class do not like DAIRY MILK?
17 The table below shows the departure times of a bus from various stops on its route. The first bus
departs WYNNSTAY at 06:10.
WYNNSTAY 06:10 ?
WHITNASH 06:20 ?
PENYGHENT 06:35 10:45
LISWERRY 06:55 ?
BRYNNA 07:20 ?
If the next bus on the same route departs PENYGHENT at 10:45 then what time does it arrive at
BRYNNA?
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18 The table below shows the prices for chocolates at a shop.
TUTIE FRUITIES 26 pence
SMARTIES 68 pence
KITKAT 68 pence
MUNCHIES 43 pence
CURLY WURLY 41 pence
LIBBY has £6.00 to do the shopping. If LIBBY buys 5 TUTIE FRUITIES and 5 CURLY WURLY then how
much money is LIBBY left with?
19 The cost of Coconut Cream Pie displayed in a bakery is £1.31 for a 275 gram slice. What is the cost of
the full Coconut Cream Pie if it weighs 2.75 kilos?
20 JULIA's grandma is 7 times as old as JULIA was 3 years ago. If grandma is 63 years old then how old is
JULIA?
21 The table below shows the temperatures recorded in cities around the world.
Fiji - Suva -8 deg C
Morocco - Rabat 14 deg C
Peru - Lima 16 deg C
Ecuador - Quito 9 deg C
Norway - Oslo -7 deg C
Yemen - Sanaa -3 deg C
Oman - Muscat 24 deg C
China - Beijing -4 deg C
Ghana - Accra 20 deg C
Which city was the hottest?
22 The names of students in a class are listed below. If a student was selected from the list at random
then what is the probability that their name STARTS-WITH 'H'?
( FLORENCE, HARRIET, ALICE, MAYA, HANNAH, ZARA, FAITH, ELLIE, OLIVIA, LILLY, LIBBY, DAISY, HOLLY,
GRACIE, HOLLIE )
23 How many EDGES do Two CUBOIDs and Six CYLINDERs have together between them?
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24 A map is drawn to the scale 7:1800. If the distance between two points on the map is 49 cm then what
is the real distance?
25 A bus with 36 EMPTY seats starts from Stanwell. When the bus reaches Flimby, 15 passengers get on
the bus. At the next stop of Hackleton, 4 passengers get off and 4 get on the bus. How many total
passengers are on the bus when the bus departs Hackleton?
26 Look at the 4 sets of numbers below.
A 23 125 169
B 36 27 125
C 125 11 23
D 16 157 169
Which of the series has SQUARE NUMBER - CUBE NUMBER - CUBE NUMBER in that order?
27 Look at the series below:
( 17, [___], 18.2, 18.8, 19.4, 20.0 )
What is the value of the missing number in the series?
28 In the rectangle below, the ratio of HEIGHT to WIDTH is 4:8.
If the HEIGHT is 49 meters, then what is the WIDTH?
29 HANNAH, DAISY and GRACIE all bought some sweet. HANNAH has 14 sweets. DAISY and GRACIE
together have a total of 51 sweets. HANNAH and DAISY together have 39 sweets. How many sweets
do the children have in total?
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30 An expedition is launching into space at 10:00 AM on 05 October 2012. They will return at 10:00 AM
on 19 October 2012. How many days will the astronauts be in space?
31 A comic costs 17 pence less than a book. If Four books and Eight comics cost £4.52, then what is the
price of a comic?
32 A bag contains Five pence and Ten pence coins to the value of £4.55. There are Three times as many
Ten pence coins as Five pence coins. How many 5 pence coins are there in the bag?
33 AMY is making a TIRAMISU from a recipe which is in imperial units. The recipe requires 6 Oz of Flour.
Assuming 1 Oz = 30 gms and rounding to the nearest 5 gms, how much Flour should AMY use?
34 Use the table below to convert 59 grams into ounces.
55 gms 1.94 ounces
18 gms 0.63 ounces
12 gms 0.42 ounces
26 gms 0.92 ounces
14 gms 0.49 ounces
21 gms 0.74 ounces
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35 The temperature recorded in five different locations is shown below.
What is the temperature range?
36 8 IMPERIAL MINTS and 4 CURLY WURLY cost £9.64. 4 CURLY WURLY and 8 CARAMAC cost £7.56. How
much does 1 IMPERIAL MINTS, 1 CURLY WURLY and 1 CARAMAC cost?
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37 In a garage, the cost of servicing a car is calculated as:
Cost in £ = 30 + p + 26h, where 'p' is the cost of car parts and 'h' is the number of hours spent in fixing
it. Four cars were brought into the garage for servicing. The table below shows the cost of parts and
time spent on each car.
- Cost of Parts (£) Time for fixing (Hours)
GM 135 3
KIA 148 11
ACURA 217 9
EAGLE 257 8
Which car was the cheapest to fix?
38 A mobile phone operator calculates the monthly bill of its customers using the following formula:
£0.00 + 0.24c + 0.19t, where 'c' is the total minutes of talk time in that month and 't' the number of
SMS messages sent.
If SOPHIA spends 110 minutes on call per month and sends 50 SMS messages, then what is the
monthly bill?
39 In 7A + 9B + 3C, if A=7, B=2 and C=5, what is the value of the expression?
40 Simplify the following algebraic expression:
4c + 9g + 3e + 7h + 7d + 2g
MA-FT-005 Page 1
Q1:
37
33
35
20
Q2:
45
88
42
43
Q3:
9
3
10
2
Q4:
66069
66112
66106
66140
Q5:
Ten-Thousands
Tens
Hundred-
Thousands
Units
Hundreds
Q6:
1
3
41
24
68
16
Q7:
8743
1870
5936
8670
3241
8044
Q8:
2398
1324
1422
554
Q9:
1173923
1173959
1174041
1174014
Q10:
910.275
910.3
910.275263
910.27526
Q11:
37.097
37.993
36.997
37.5121
Q12:
7/18
11/18
8/21
11/13
Q13:
48.71%
50.0%
49.31%
48.29%
Q14:
A
B
C
D
Q15:
62
61
58
63
Q16:
11
14
9
16
23
Q17:
09:05
11:30
10:10
11:45
Q18:
£2.65
£1.98
£3.59
£4.78
Q19:
£7.48
£7.79
£13.10
£2.25
Q20:
10
12
15
8
Q21:
Oman - Muscat
Norway - Oslo
China - Beijing
Morocco - Rabat
Q22:
10/7
4/15
10/6
5/4
Q23:
37
12
9
36
Q24:
34 meters
126 meters
126 kilo-meters
44 meters
MA-FT-005 Page 2
Q25:
15
24
26
31
Q26:
A
B
C
D
Q27:
18.14
17.37
17.6
16.34
Q28:
13
114
98
37
Q29:
61
65
62
66
Q30:
16
18
14
11
Q31:
£0.60
£0.49
£0.32
£0.50
Q32:
13
27
41
25
Q33:
235
425
335
180
Q34:
1.89 ounces
4.77 ounces
2.08 ounces
1.48 ounces
Q35:
53
51
52
55
Q36:
£2.15
£0.15
£0.64
£0.63
Q37:
GM
KIA
ACURA
EAGLE
Q38:
38.62
35.7
33.3
35.9
Q39:
82
84
80
77
Q40:
8c + 11g + 2e + 4h + 9d
4c + 11g + 3e + 7h + 7d
6c + 10g + 5e + 6h + 9d
5c + 10g + 7e + 2h + 3d
MA-FT-005 Page 1
Answer Explanation
1 35 2
+ 6
= 44
5 7 35
2 88 7
- 9
= 5
8 11 88
3 2 8
× 1
= 2
9 12 27
4 66106 61172 + 4934 = 66106
5 Hundred-
Thousands
6 3 41 41 and 3 are prime numbers.
7 8743 3241 3241 and 8743 are odd numbers.
8 2398 Calculate the following:
(46 × 53) - 40 = 2398
9 1174014 One Million, One Hundred and Seventy Four Thousand and Fourteen in numbers is
1174014.
10 910.275 910.275
11 36.997 265.30 - 228.303 = 36.997
12 7/18 The common factor is 21. 147/378 = 7/18
13 50.0% 28 out of 56 = 50.0%
14 B
15 63 9 x 7 = 63 sqcm
16 16 Calculate from Venn diagram shown.
17 11:30 Departure times for the next bus from destinations enroute : 10:20, 10:30, 10:45,
11:05, 11:30
18 £2.65 Cost for 5 TUTIE FRUITIES = £1.30. Cost for 5 CURLY WURLY = £2.05. Total cost =
£3.35
19 £13.10 Given that each slice weights 275 grams and the full cake weights 2.75 kilos the cake
has 10 slices. Multiply cost per slice of £1.31 by 10 to get £13.10.
MA-FT-005 Page 2
20 12
21 Oman - Muscat 24 was the maximum temperature
22 4/15 The names of students in a class are listed below. If a student was selected from the
list at random then what is the probability that their name STARTS-WITH'H'?
( FLORENCE, HARRIET, ALICE, MAYA, HANNAH, ZARA, FAITH, ELLIE, OLIVIA, LILLY,
LIBBY, DAISY, HOLLY, GRACIE, HOLLIE ). The probability is therefore 4/15
23 36 CUBOID has 12 edges. CYLINDER has 2 edges.
24 126 meters Actual distance = 1800 x (49 / 7) = 126 meters
25 15 Total passengers on the bus = 15 - 4 + 4 = 15
26 B
27 17.6 Each number in the series changes by 0.6.
28 98 (8 / 4) x 49 = 98
29 65 HANNAH has 14 sweets, DAISY has 25 sweets and GRACIE has 26 sweets.
30 14 Calculate the days between the dates.
31 £0.32 (£0.49 x 4) + (£0.32 x 8 = £4.52
32 13
33 180 1 oz = 30 gms, therefore 6 Oz = 6 x 30 = 180 gms
34 2.08 ounces Add the table entries for 21, 26 and 12 grams.
35 51 Maximum = 46, Minimum = -5, therefore Range = 51
36 £2.15 Add the cost of both combinations together. This will give you the price of 8 of each
items.
37 GM Cost of fixing GM = £243. Cost of fixing KIA = £464. Cost of fixing ACURA = £481. Cost
of fixing EAGLE = £495.
38 35.9 £0.00 + (£0.24 x 110) + (£0.19 x 50) = £35.90
39 82 (7 x 7) + (9 x 2) + (3 x 5) = 82
40 4c + 11g + 3e +
7h + 7d