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11+ · GL ASSESSMENT

EP.T68 Devon-Style Maths and Reasoning Mock

GL ASSESSMENT GL-11PLUS-DEVON-MOCK · Calculators not allowed · about 45 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

DEVON-STYLE MATHS AND REASONING MOCK. This pack reproduces the multiple-choice format used by GL Assessment for the Devon (Torquay grammar schools') 11+ selection tests. Time allowed: 45 minutes in total, split into two timed sections - do not turn back to Section 1 once Section 2 has begun. Section 1: Mathematics - 25 questions, 25 minutes, no calculator allowed, covering number, fractions, decimals, percentages, ratio, simple algebra, geometry, measures, averages and multi-step word problems, moving from straightforward warm-up questions to harder multi-step problems by the end. Section 2: Verbal Reasoning - 25 questions, 20 minutes, grouped into named question types used in GL Assessment papers (compound words, word connections, closest meaning, opposite meaning, odd one out, hidden words, letter sequences, number sequences, alphabet codes, letter-for-number codes, anagrams and logical deduction), each block introduced by its type in brackets. Every question across both sections is multiple choice with five options, A to E, and is worth 1 mark. Choose the single best answer for each question. There is no negative marking, so attempt every question. Total marks available: 50. Work as quickly and carefully as you can, and check your answers if you finish a section early.

SECTION 1: MATHEMATICS (25 minutes, 25 questions, no calculator allowed)

Question 1. Work out 4,258 + 3,647.

A) 7,805
B) 7,905
C) 7,915
D) 8,005
E) 6,905

(Total for Question 1 is 1 mark)

Question 2. Work out 6,102 - 2,754.

A) 3,248
B) 3,348
C) 3,448
D) 3,358
E) 4,348

(Total for Question 2 is 1 mark)

Question 3. Work out 9 x 7 - 3 x 8.

A) 39
B) 29
C) 45
D) 48
E) 15

(Total for Question 3 is 1 mark)

Question 4. Round 54,637 to the nearest hundred.

A) 54,600
B) 54,700
C) 54,650
D) 54,000
E) 55,000

(Total for Question 4 is 1 mark)

Question 5. Write 0.65 as a fraction in its simplest form.

A) 65/100
B) 13/20
C) 3/5
D) 13/2
E) 6/10

(Total for Question 5 is 1 mark)

Question 6. Simplify the ratio 54:81.

A) 2:3
B) 6:9
C) 18:27
D) 3:2
E) 4:5

(Total for Question 6 is 1 mark)

Question 7. Find 35% of £260.

A) £78
B) £85
C) £91
D) £96
E) £104

(Total for Question 7 is 1 mark)

Question 8. A field near Dartmoor measures 14 m by 9 m. Work out its perimeter.

A) 23 m
B) 46 m
C) 126 m
D) 52 m
E) 37 m

(Total for Question 8 is 1 mark)

Question 9. Solve for x: 6x - 7 = 35.

A) 5
B) 6
C) 7
D) 8
E) 9

(Total for Question 9 is 1 mark)

Question 10. A ferry leaves Torquay at 14:40 and the crossing takes 85 minutes. What time does it arrive?

A) 15:55
B) 16:05
C) 16:15
D) 16:25
E) 15:45

(Total for Question 10 is 1 mark)

Question 11. What is the lowest common multiple of 6 and 14?

A) 20
B) 2
C) 84
D) 42
E) 28

(Total for Question 11 is 1 mark)

Question 12. A recipe uses 150 g of butter to make 6 scones. How much butter is needed for 10 scones?

A) 200 g
B) 225 g
C) 250 g
D) 275 g
E) 300 g

(Total for Question 12 is 1 mark)

Question 13. Work out 3 5/6 - 1 2/3.

A) 2 1/6
B) 1 1/6
C) 2 5/6
D) 1 5/6
E) 5 3/6

(Total for Question 13 is 1 mark)

Question 14. The mean of six numbers is 15. Five of the numbers are 9, 14, 17, 11 and 19. What is the sixth number?

A) 18
B) 19
C) 20
D) 21
E) 22

(Total for Question 14 is 1 mark)

Question 15. A coat priced at £120 is reduced by 25% in a sale. What is the sale price?

A) £30
B) £80
C) £90
D) £95
E) £100

(Total for Question 15 is 1 mark)

Question 16. What is the size of each interior angle of a regular decagon (10 sides)?

A) 140 degrees
B) 144 degrees
C) 150 degrees
D) 135 degrees
E) 160 degrees

(Total for Question 16 is 1 mark)

Question 17. Convert 2,750 grams to kilograms.

A) 0.275 kg
B) 2.75 kg
C) 27.5 kg
D) 275 kg
E) 0.0275 kg

(Total for Question 17 is 1 mark)

Question 18. A box contains 6 red, 8 blue and 6 green cubes. A cube is picked at random. What is the probability it is green? Give your answer as a fraction in its simplest form.

A) 3/10
B) 2/5
C) 1/4
D) 3/20
E) 1/2

(Total for Question 18 is 1 mark)

Question 19. Find the next number in the sequence: 5, 9, 17, 33, 65, ___

A) 97
B) 121
C) 125
D) 129
E) 130

(Total for Question 19 is 1 mark)

Question 20. Freya buys 2 pasties at £3.40 each and a drink for £1.10 at a Totnes market stall. She pays with a £10 note. How much change does she receive?

A) £1.90
B) £2.00
C) £2.10
D) £2.20
E) £3.10

(Total for Question 20 is 1 mark)

Question 21 (harder). A coach travels 126 miles in 1 hour 45 minutes. What is its average speed in miles per hour?

A) 66 mph
B) 68 mph
C) 70 mph
D) 72 mph
E) 76 mph

(Total for Question 21 is 1 mark)

Question 22 (harder). Three numbers are in the ratio 2:5:8. The largest number is 54 more than the smallest. What is the middle number?

A) 27
B) 36
C) 45
D) 54
E) 63

(Total for Question 22 is 1 mark)

Question 23 (harder). A drum holds 360 litres. Ethan empties 1/4 of it into tank A, then 2/5 of what remains into tank B. How many litres are left?

A) 90 litres
B) 108 litres
C) 144 litres
D) 162 litres
E) 180 litres

(Total for Question 23 is 1 mark)

Question 24 (harder). After a 12% pay rise, Oliver earns £36 more per week than before. What was his weekly pay before the rise?

A) £264
B) £276
C) £288
D) £300
E) £312

(Total for Question 24 is 1 mark)

Question 25 (hardest, final question). Isla has £96. She spends 3/8 of it on trainers, then 1/4 of what remains on a cap. How much money does she have left?

A) £15
B) £21
C) £36
D) £45
E) £60

(Total for Question 25 is 1 mark)

SECTION 2: VERBAL REASONING (20 minutes, 25 questions across mixed named types)

Question 26 (Compound words). Find the word that completes both: SUN ___ HOUSE, so that it finishes the first word and starts the second.

A) LIGHT
B) SET
C) RISE
D) FLOWER
E) SHINE

(Total for Question 26 is 1 mark)

Question 27 (Compound words). Find the word that completes both: FIRE ___ SHOP, so that it finishes the first word and starts the second.

A) WORK
B) PLACE
C) ARM
D) CRACKER
E) FLY

(Total for Question 27 is 1 mark)

Question 28 (Word connections). Wing is to Bird as Fin is to ___?

A) Fish
B) Shark
C) Ocean
D) Scale
E) Water

(Total for Question 28 is 1 mark)

Question 29 (Word connections). Author is to Book as Composer is to ___?

A) Music
B) Instrument
C) Orchestra
D) Piano
E) Note

(Total for Question 29 is 1 mark)

Question 30 (Closest meaning). Which word means the same as 'ample'? Choose from: scarce, plentiful, narrow, brief.

A) scarce
B) plentiful
C) narrow
D) brief
E) none of these

(Total for Question 30 is 1 mark)

Question 31 (Closest meaning). Which word means the same as 'reluctant'? Choose from: eager, unwilling, calm, swift.

A) eager
B) unwilling
C) calm
D) swift
E) none of these

(Total for Question 31 is 1 mark)

Question 32 (Opposite meaning). Which word means the opposite of 'permit'? Choose from: allow, forbid, request, encourage.

A) allow
B) forbid
C) request
D) encourage
E) none of these

(Total for Question 32 is 1 mark)

Question 33 (Opposite meaning). Which word means the opposite of 'genuine'? Choose from: real, fake, honest, sincere.

A) real
B) fake
C) honest
D) sincere
E) none of these

(Total for Question 33 is 1 mark)

Question 34 (Odd one out). Which word does not belong with the others: trout, salmon, dolphin, mackerel, herring?

A) trout
B) salmon
C) dolphin
D) mackerel
E) herring

(Total for Question 34 is 1 mark)

Question 35 (Odd one out). Which number does not belong with the others: 16, 25, 36, 40, 49?

A) 16
B) 25
C) 36
D) 40
E) 49

(Total for Question 35 is 1 mark)

Question 36 (Hidden word). A four-letter word is hidden between these two words, using the last letter of the first word and the first three letters of the second word. Find the hidden word.
BUS EATER

A) SEAT
B) BEAT
C) SEAR
D) BEAR
E) EATS

(Total for Question 36 is 1 mark)

Question 37 (Hidden word). A four-letter word is hidden between these two words, using the last letter of the first word and the first three letters of the second word. Find the hidden word.
ATTIC OATMEAL

A) COAT
B) CART
C) COAL
D) MOAT
E) OATS

(Total for Question 37 is 1 mark)

Question 38 (Letter sequences). Look at this series of letters: C, F, I, L, ?. Which letter completes the series?

A) M
B) N
C) O
D) P
E) Q

(Total for Question 38 is 1 mark)

Question 39 (Letter sequences). Look at this series of letters: Y, W, U, S, ?. Which letter comes next?

A) R
B) Q
C) P
D) T
E) O

(Total for Question 39 is 1 mark)

Question 40 (Number sequences). Look at this series of numbers: 7, 14, 28, 56, ?. Which number comes next?

A) 84
B) 98
C) 105
D) 112
E) 120

(Total for Question 40 is 1 mark)

Question 41 (Number sequences). Look at this series of numbers: 100, 91, 83, 76, ?. Which number comes next?

A) 68
B) 69
C) 70
D) 71
E) 72

(Total for Question 41 is 1 mark)

Question 42 (Number sequences, harder). Look at this series of numbers: 3, 8, 20, 46, ?. Which number comes next?

A) 92
B) 96
C) 98
D) 100
E) 104

(Total for Question 42 is 1 mark)

Question 43 (Alphabet code). In a code, each letter is replaced by the letter 4 places later in the alphabet (so A becomes E, B becomes F, and so on). Using this code, how is the word BOAT written?

A) FSEX
B) FREX
C) FSDX
D) ESEX
E) FSEW

(Total for Question 43 is 1 mark)

Question 44 (Alphabet code). In a code, each letter is written as the letter that is the same number of places from the end of the alphabet as the original letter is from the start (so A becomes Z, B becomes Y, and so on). Using this code, how is the word DUSK written?

A) WFHP
B) WFGP
C) XFHP
D) WEHP
E) WFHQ

(Total for Question 44 is 1 mark)

Question 45 (Letter-for-number code). In a code, each letter represents a digit: S = 6, A = 2, N = 9, D = 4. Using this code, what four-digit number does SAND represent?

A) 6294
B) 6249
C) 2694
D) 6924
E) 4926

(Total for Question 45 is 1 mark)

Question 46 (Letter-for-number code). In a code, each letter represents a digit: C = 3, O = 7, V = 5, E = 1. Using this code, what four-digit number does COVE represent?

A) 3751
B) 3715
C) 7351
D) 3157
E) 1573

(Total for Question 46 is 1 mark)

Question 47 (Anagram). Rearrange the letters of CRATE to form a word meaning 'to respond to something'.

A) REACT
B) TRACE
C) CATER
D) CRATE
E) CARTE

(Total for Question 47 is 1 mark)

Question 48 (Anagram). Rearrange the letters of NIGHT to form a word meaning 'an object or item'.

A) THING
B) NIGHT
C) THIN
D) NIGHTS
E) TIGHT

(Total for Question 48 is 1 mark)

Question 49 (Logical deduction). Freya's father is Callum. Callum's only son is Joel. How is Joel related to Freya?

A) brother
B) father
C) cousin
D) uncle
E) grandfather

(Total for Question 49 is 1 mark)

Question 50 (Logical deduction, final question). All the pupils who play chess also play backgammon. Leo plays backgammon but does not play chess. Which conclusion must be true?

A) Leo plays chess
B) Everyone who plays backgammon also plays chess
C) Some backgammon players do not play chess
D) No one plays both games
E) Leo never plays games

(Total for Question 50 is 1 mark)

Mark scheme · EP.T68 Devon-Style Maths and Reasoning Mock

Question 1

B1 B) 7,905 - 4,258 + 3,647 = 7,905 (cao)
Answer: B) 7,905

Question 2

B1 B) 3,348 - 6,102 - 2,754 = 3,348 (cao)
Answer: B) 3,348

Question 3

B1 A) 39 - using order of operations, 9 x 7 = 63 and 3 x 8 = 24, then 63 - 24 = 39 (cao)
Answer: A) 39

Question 4

B1 A) 54,600 - the last two digits, 37, are less than 50, so the value rounds down to 54,600 (cao)
Answer: A) 54,600

Question 5

B1 B) 13/20 - 0.65 = 65/100, which simplifies to 13/20 by dividing top and bottom by 5 (cao)
Answer: B) 13/20

Question 6

B1 A) 2:3 - the highest common factor of 54 and 81 is 27; 54/27 = 2 and 81/27 = 3 (cao)
Answer: A) 2:3

Question 7

B1 C) £91 - 10% of 260 = 26, so 35% = 30% + 5% = 78 + 13 = 91 (cao)
Answer: C) £91

Question 8

B1 B) 46 m - perimeter = 2 x (14 + 9) = 2 x 23 = 46 m (cao)
Answer: B) 46 m

Question 9

B1 C) 7 - 6x = 35 + 7 = 42, so x = 42 / 6 = 7 (cao)
Answer: C) 7

Question 10

B1 B) 16:05 - from 14:40 to 15:40 is 60 minutes, leaving 25 more minutes to add, giving 16:05 (cao)
Answer: B) 16:05

Question 11

B1 D) 42 - multiples of 6: 6,12,18,24,30,36,42; multiples of 14: 14,28,42; the smallest shared value is 42 (cao)
Answer: D) 42

Question 12

B1 C) 250 g - butter per scone = 150 / 6 = 25 g, so 10 scones need 25 x 10 = 250 g (cao)
Answer: C) 250 g

Question 13

B1 A) 2 1/6 - 3 5/6 = 23/6; 1 2/3 = 10/6; 23/6 - 10/6 = 13/6 = 2 1/6 (cao)
Answer: A) 2 1/6

Question 14

B1 C) 20 - total of six numbers = 6 x 15 = 90; sum of the five given = 9+14+17+11+19 = 70; sixth number = 90-70 = 20 (cao)
Answer: C) 20

Question 15

B1 C) £90 - the sale price is 75% of the original: 0.75 x 120 = 90 (cao)
Answer: C) £90

Question 16

B1 B) 144 degrees - angle sum of a decagon = (10-2) x 180 = 1,440, each interior angle = 1,440/10 = 144 (cao)
Answer: B) 144 degrees

Question 17

B1 B) 2.75 kg - 1,000 g = 1 kg, so 2,750 g = 2,750 / 1,000 = 2.75 kg (cao)
Answer: B) 2.75 kg

Question 18

B1 A) 3/10 - total cubes = 6+8+6 = 20; green cubes = 6; probability = 6/20 = 3/10 (cao)
Answer: A) 3/10

Question 19

B1 D) 129 - each term follows the rule 'double and subtract 1'; 65 x 2 - 1 = 129 (cao)
Answer: D) 129

Question 20

B1 C) £2.10 - pasties cost 2 x 3.40 = 6.80; total spent = 6.80 + 1.10 = 7.90; change = 10.00 - 7.90 = 2.10 (cao)
Answer: C) £2.10

Question 21

B1 D) 72 mph - 1 hour 45 minutes = 1.75 hours; 126 / 1.75 = 72 (cao)
Answer: D) 72 mph

Question 22

B1 C) 45 - the largest minus smallest is 8x - 2x = 6x = 54, so x = 9; the middle number = 5x = 45 (cao)
Answer: C) 45

Question 23

B1 D) 162 litres - tank A takes 1/4 x 360 = 90, leaving 270; tank B takes 2/5 x 270 = 108, leaving 270-108=162 (cao)
Answer: D) 162 litres

Question 24

B1 D) £300 - original pay = 36 / 0.12 = 300 (cao)
Answer: D) £300

Question 25

B1 D) £45 - trainers cost 3/8 x 96 = 36, leaving 60; cap costs 1/4 x 60 = 15, leaving 60-15=45 (cao)
Answer: D) £45

Question 26

B1 A) LIGHT - SUNLIGHT and LIGHTHOUSE are both real words (cao)
Answer: A) LIGHT

Question 27

B1 A) WORK - FIREWORK and WORKSHOP are both real words (cao)
Answer: A) WORK

Question 28

B1 A) Fish - a wing is part of a bird's body, in the same way that a fin is part of a fish's body (cao)
Answer: A) Fish

Question 29

B1 A) Music - an author creates a book, in the same way that a composer creates music (cao)
Answer: A) Music

Question 30

B1 B) plentiful cao
Answer: B) plentiful

Question 31

B1 B) unwilling cao
Answer: B) unwilling

Question 32

B1 B) forbid cao
Answer: B) forbid

Question 33

B1 B) fake cao
Answer: B) fake

Question 34

B1 C) dolphin cao
Answer: C) dolphin

Question 35

B1 D) 40 cao
Answer: D) 40

Question 36

B1 A) SEAT cao
Answer: A) SEAT

Question 37

B1 A) COAT cao
Answer: A) COAT

Question 38

B1 C) O cao
Answer: C) O

Question 39

B1 B) Q cao
Answer: B) Q

Question 40

B1 D) 112 cao
Answer: D) 112

Question 41

B1 C) 70 cao
Answer: C) 70

Question 42

B1 D) 100 cao
Answer: D) 100

Question 43

B1 A) FSEX cao
Answer: A) FSEX

Question 44

B1 A) WFHP cao
Answer: A) WFHP

Question 45

B1 A) 6294 cao
Answer: A) 6294

Question 46

B1 A) 3751 cao
Answer: A) 3751

Question 47

B1 A) REACT cao
Answer: A) REACT

Question 48

B1 A) THING cao
Answer: A) THING

Question 49

B1 A) brother cao
Answer: A) brother

Question 50

B1 C) Some backgammon players do not play chess - cao
Answer: C) Some backgammon players do not play chess

Devon-Style Maths and Reasoning Mock - Worksheets, Questions and Revision