11PlusDIY: MA-FT-001 · 2012. 9. 14. · MA-FT-001 Page 1 Q1: 8 17 3 11 31 Q2: 75506 75460 75488...

70
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 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

Transcript of 11PlusDIY: MA-FT-001 · 2012. 9. 14. · MA-FT-001 Page 1 Q1: 8 17 3 11 31 Q2: 75506 75460 75488...

Page 1: 11PlusDIY: MA-FT-001 · 2012. 9. 14. · MA-FT-001 Page 1 Q1: 8 17 3 11 31 Q2: 75506 75460 75488 75462 Thousands Q3: Tens Ten-Thousands Hundred-Million Million 82 Q4: 58 29 62 34

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

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.

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?

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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

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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

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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

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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

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11PlusDIY: MA-FT-002

Mathematics Familiarisation Test

11PlusDIY-MA-FT-002

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.

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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11PlusDIY: MA-FT-002

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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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11PlusDIY: MA-FT-002

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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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11PlusDIY: MA-FT-002

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Page 8

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?

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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

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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

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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.

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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.

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11PlusDIY: MA-FT-003

Mathematics Familiarisation Test

11PlusDIY-MA-FT-003

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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Page 1

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

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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

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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

Page 42: 11PlusDIY: MA-FT-001 · 2012. 9. 14. · MA-FT-001 Page 1 Q1: 8 17 3 11 31 Q2: 75506 75460 75488 75462 Thousands Q3: Tens Ten-Thousands Hundred-Million Million 82 Q4: 58 29 62 34

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

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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

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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.

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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11PlusDIY: MA-FT-004

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liable to criminal prosecution and civil claims for damages.

Version 1.0

Page 1

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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11PlusDIY: MA-FT-004

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Version 1.0

Page 2

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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11PlusDIY: MA-FT-004

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Page 3

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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11PlusDIY: MA-FT-004

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Version 1.0

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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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11PlusDIY: MA-FT-004

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Page 5

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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11PlusDIY: MA-FT-004

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Version 1.0

Page 6

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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11PlusDIY: MA-FT-004

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Version 1.0

Page 7

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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11PlusDIY: MA-FT-004

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Page 8

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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11PlusDIY: MA-FT-004

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Page 9

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

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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

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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

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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

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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

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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,

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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.

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

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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

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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

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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.

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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