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11+ · GL ASSESSMENT

EP.T48 Wirral-Style Maths and Reasoning Mock

GL ASSESSMENT GL-11PLUS-WIRRAL-MOCK · Calculators not allowed · about 43 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

WIRRAL-STYLE MATHS AND REASONING MOCK. This pack reproduces the multiple-choice format used by GL Assessment for the Wirral grammar schools' 11+ selection tests. Time allowed: 43 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, 18 minutes, grouped into named question types used in GL Assessment papers (compound words, word connections, closest meaning, opposite meaning, odd one out, word within a word, missing word, letter sequences, number sequences, letters for numbers and word codes), 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. Amara buys a sandwich for £2.35 and a bottle of juice for £1.20. How much does she spend in total?

A) £3.45
B) £3.65
C) £4.55
D) £3.55
E) £1.15

(Total for Question 1 is 1 mark)

Question 2. What is 6 x 14?

A) 74
B) 84
C) 80
D) 88
E) 90

(Total for Question 2 is 1 mark)

Question 3. What is 3/5 of 40?

A) 15
B) 20
C) 24
D) 28
E) 32

(Total for Question 3 is 1 mark)

Question 4. A rectangle is 9 cm long and 4 cm wide. What is its perimeter?

A) 26 cm
B) 13 cm
C) 36 cm
D) 40 cm
E) 18 cm

(Total for Question 4 is 1 mark)

Question 5. A train leaves at 09:45 and arrives at 10:20. How long is the journey?

A) 25 minutes
B) 30 minutes
C) 40 minutes
D) 75 minutes
E) 35 minutes

(Total for Question 5 is 1 mark)

Question 6. Find 15% of 60.

A) 6
B) 8
C) 9
D) 10
E) 12

(Total for Question 6 is 1 mark)

Question 7. £72 is shared in the ratio 3:5. What is the larger share?

A) £24
B) £27
C) £40
D) £45
E) £54

(Total for Question 7 is 1 mark)

Question 8. A rectangle has an area of 48 cm² and a width of 6 cm. What is its length?

A) 6 cm
B) 8 cm
C) 7 cm
D) 9 cm
E) 42 cm

(Total for Question 8 is 1 mark)

Question 9. What is the next number in this sequence? 3, 7, 11, 15, ...?

A) 19
B) 17
C) 18
D) 20
E) 21

(Total for Question 9 is 1 mark)

Question 10. If 3x + 5 = 20, what is x?

A) 3
B) 4
C) 6
D) 15
E) 5

(Total for Question 10 is 1 mark)

Question 11. Find the mean of 4, 7, 9, 12 and 13.

A) 7
B) 8
C) 9
D) 10
E) 11

(Total for Question 11 is 1 mark)

Question 12. A car travels 120 miles in 3 hours. What is its average speed?

A) 30 mph
B) 36 mph
C) 45 mph
D) 40 mph
E) 360 mph

(Total for Question 12 is 1 mark)

Question 13. What is the highest common factor of 24 and 36?

A) 12
B) 4
C) 6
D) 8
E) 72

(Total for Question 13 is 1 mark)

Question 14. Two angles on a straight line are 118 degrees and x degrees. What is x?

A) 52
B) 62
C) 58
D) 72
E) 242

(Total for Question 14 is 1 mark)

Question 15. Work out 2/3 + 1/6, giving your answer as a fraction in its simplest form.

A) 1/2
B) 5/9
C) 3/9
D) 7/6
E) 5/6

(Total for Question 15 is 1 mark)

Question 16. Which of these numbers is the largest? 0.45, 0.5, 0.045, 0.454, 0.399

A) 0.45
B) 0.5
C) 0.045
D) 0.454
E) 0.399

(Total for Question 16 is 1 mark)

Question 17. What is -8 + 15?

A) -23
B) -7
C) 8
D) 7
E) 23

(Total for Question 17 is 1 mark)

Question 18. Point A is at (2, 3) and point B is at (2, 9). What is the distance from A to B?

A) 6
B) 4
C) 5
D) 7
E) 11

(Total for Question 18 is 1 mark)

Question 19. A model car is built to a scale of 1:20. The model is 8 cm long. How long is the real car, in metres?

A) 0.8 m
B) 16 m
C) 1.6 m
D) 160 m
E) 1.28 m

(Total for Question 19 is 1 mark)

Question 20. A bag contains 4 red, 5 blue and 3 green counters. What is the probability of picking a blue counter, as a fraction in its simplest form?

A) 4/12
B) 3/12
C) 5/9
D) 1/3
E) 5/12

(Total for Question 20 is 1 mark)

Question 21. There are 400 pupils in a school. 45% of them study French, and the rest study Spanish or German in the ratio 3:2. How many pupils study German?

A) 80
B) 132
C) 110
D) 88
E) 92

(Total for Question 21 is 1 mark)

Question 22. The sum of three consecutive even numbers is 90. What is the smallest of the three numbers?

A) 26
B) 28
C) 30
D) 32
E) 34

(Total for Question 22 is 1 mark)

Question 23. A coat's price is increased by 20% to £72. It is then reduced by 25% in a sale. What is the sale price?

A) £54
B) £45
C) £57.60
D) £60
E) £64.80

(Total for Question 23 is 1 mark)

Question 24. A pentagon has one interior angle of 100 degrees, and its other four interior angles are all equal to x degrees. What is x?

A) 100
B) 105
C) 110
D) 108
E) 135

(Total for Question 24 is 1 mark)

Question 25 (hardest, final question). Ravi has £5 more than Priya. Priya has twice as much money as Tom. Together they have £45. How much does Ravi have?

A) £16
B) £18
C) £24
D) £26
E) £21

(Total for Question 25 is 1 mark)

SECTION 2: VERBAL REASONING (18 minutes, 25 questions across mixed named types)

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

A) BOARD
B) SIDE
C) STAIR
D) FOOT
E) MARK

(Total for Question 26 is 1 mark)

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

A) STEP
B) KNOB
C) FRAME
D) MAT
E) BELL

(Total for Question 27 is 1 mark)

Question 28 (Compound words). Find the word that completes both: SUN ___ POT, so that it finishes the first word and starts the second.

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

(Total for Question 28 is 1 mark)

Question 29 (Word connections). KITTEN is to CAT as PUPPY is to ...?

A) FOX
B) CUB
C) PET
D) DOG
E) WOLF

(Total for Question 29 is 1 mark)

Question 30 (Word connections). PAGE is to BOOK as BRICK is to ...?

A) CEMENT
B) ROOF
C) WALL
D) DOOR
E) HOUSE

(Total for Question 30 is 1 mark)

Question 31 (Word connections). FISHERMAN is to SEA as SHEPHERD is to ...?

A) FIELD
B) FARM
C) FOREST
D) BARN
E) MOUNTAIN

(Total for Question 31 is 1 mark)

Question 32 (Closest meaning). Which word is closest in meaning to RAPID?

A) SLOW
B) QUIET
C) CAREFUL
D) HEAVY
E) QUICK

(Total for Question 32 is 1 mark)

Question 33 (Closest meaning). Which word is closest in meaning to ENORMOUS?

A) TINY
B) HUGE
C) NARROW
D) DISTANT
E) PLAIN

(Total for Question 33 is 1 mark)

Question 34 (Opposite meaning). Which word is most opposite in meaning to GENEROUS?

A) KIND
B) WEALTHY
C) POLITE
D) MEAN
E) HONEST

(Total for Question 34 is 1 mark)

Question 35 (Opposite meaning). Which word is most opposite in meaning to ANCIENT?

A) OLD
B) HISTORIC
C) MODERN
D) RARE
E) FADED

(Total for Question 35 is 1 mark)

Question 36 (Odd one out). Which word does not belong with the others: OAK, BIRCH, MAPLE, ROSE, WILLOW?

A) ROSE
B) OAK
C) BIRCH
D) MAPLE
E) WILLOW

(Total for Question 36 is 1 mark)

Question 37 (Odd one out). Which word does not belong with the others: SALMON, TROUT, DOLPHIN, COD, HERRING?

A) SALMON
B) TROUT
C) COD
D) HERRING
E) DOLPHIN

(Total for Question 37 is 1 mark)

Question 38 (Word within a word). Reading the letters in order, which word is hidden inside CARPET?

A) CAT
B) CAR
C) MAP
D) TIP
E) EAT

(Total for Question 38 is 1 mark)

Question 39 (Word within a word). Reading the letters in order, which word is hidden in the middle of BASKET (letters 2 to 4)?

A) BAT
B) SET
C) KIT
D) ASK
E) TAB

(Total for Question 39 is 1 mark)

Question 40 (Missing word). Choose the one word which completes both sentences below without changing its form: 'Could you ___ the window, please?' and 'The team needs to ___ the gap in the final lap.'

A) SHUT
B) LOCK
C) CLOSE
D) NARROW
E) WIN

(Total for Question 40 is 1 mark)

Question 41 (Missing word). Choose the one word which completes both sentences below without changing its form: 'She decided to ___ her old bicycle to a friend.' and 'The shopkeeper will ___ fresh bread every morning for 80 pence a loaf.'

A) SELL
B) GIVE
C) BAKE
D) LEND
E) PAINT

(Total for Question 41 is 1 mark)

Question 42 (Letter sequences). What comes next in this sequence? B, D, F, H, ...?

A) I
B) K
C) G
D) L
E) J

(Total for Question 42 is 1 mark)

Question 43 (Letter sequences). What comes next in this sequence? A, C, F, J, ...?

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

(Total for Question 43 is 1 mark)

Question 44 (Number sequences). What is the next number in this sequence? 2, 6, 18, 54, ...?

A) 108
B) 150
C) 170
D) 162
E) 216

(Total for Question 44 is 1 mark)

Question 45 (Number sequences). What is the next number in this sequence? 1, 4, 9, 16, 25, ...?

A) 30
B) 32
C) 36
D) 34
E) 42

(Total for Question 45 is 1 mark)

Question 46 (Letters for numbers). If A=1, B=2, C=3, and so on up to Z=26, what is the sum of the code values of the letters in the word CAB?

A) 6
B) 4
C) 5
D) 7
E) 8

(Total for Question 46 is 1 mark)

Question 47 (Letters for numbers). In a code, each letter's value is its position in the alphabet doubled (A=2, B=4, C=6, and so on). Which word is represented by the values 6, 2, 40?

A) BAT
B) CAP
C) RAT
D) CAR
E) CAT

(Total for Question 47 is 1 mark)

Question 48 (Letters for numbers). In a code, each letter's value is its position in the alphabet plus 5 (A=6, B=7, C=8, and so on). Which word is represented by the values 25, 14, 19?

A) SIN
B) TIN
C) TIP
D) TIM
E) RIN

(Total for Question 48 is 1 mark)

Question 49 (Word codes). In a code, STAR is written as UVCT. Using the same code, what is MOON written as?

A) NPPQ
B) PQQR
C) OPPQ
D) OQQP
E) OQPQ

(Total for Question 49 is 1 mark)

Question 50 (Word codes). In a code, each letter is replaced by the letter the same number of places from the end of the alphabet as it is from the start (A<->Z, B<->Y, C<->X, and so on). What is the code for the word BAD?

A) ZYX
B) YWZ
C) YZW
D) XZW
E) YZX

(Total for Question 50 is 1 mark)

Mark scheme · EP.T48 Wirral-Style Maths and Reasoning Mock

Question 1

B1 D) £3.55 - £2.35 + £1.20 = £3.55 (cao)
Answer: D) £3.55

Question 2

B1 B) 84 - 6 x 14 = 84 (cao)
Answer: B) 84

Question 3

B1 C) 24 - 40 / 5 = 8, and 8 x 3 = 24 (cao)
Answer: C) 24

Question 4

B1 A) 26 cm - 2 x (9 + 4) = 2 x 13 = 26 cm (cao)
Answer: A) 26 cm

Question 5

B1 E) 35 minutes - from 09:45 to 10:00 is 15 minutes, and from 10:00 to 10:20 is a further 20 minutes, so 15 + 20 = 35 minutes (cao)
Answer: E) 35 minutes

Question 6

B1 C) 9 - 10% of 60 = 6 and 5% of 60 = 3, so 15% of 60 = 6 + 3 = 9 (cao)
Answer: C) 9

Question 7

B1 D) £45 - 72 / 8 = 9 per part, and the larger share is 5 x 9 = 45 (cao)
Answer: D) £45

Question 8

B1 B) 8 cm - 48 / 6 = 8 cm (cao)
Answer: B) 8 cm

Question 9

B1 A) 19 - the sequence increases by 4 each time, so 15 + 4 = 19 (cao)
Answer: A) 19

Question 10

B1 E) 5 - 3x = 20 - 5 = 15, so x = 15 / 3 = 5 (cao)
Answer: E) 5

Question 11

B1 C) 9 - 4 + 7 + 9 + 12 + 13 = 45, and 45 / 5 = 9 (cao)
Answer: C) 9

Question 12

B1 D) 40 mph - 120 / 3 = 40 mph (cao)
Answer: D) 40 mph

Question 13

B1 A) 12 - 24 = 2³ x 3 and 36 = 2² x 3², so the highest common factor is 2² x 3 = 12 (cao)
Answer: A) 12

Question 14

B1 B) 62 - angles on a straight line sum to 180 degrees, so x = 180 - 118 = 62 (cao)
Answer: B) 62 degrees

Question 15

B1 E) 5/6 - 2/3 = 4/6, and 4/6 + 1/6 = 5/6 (cao)
Answer: E) 5/6

Question 16

B1 B) 0.5 - 0.5 is equivalent to 0.500, which is greater than 0.454, 0.45, 0.399 and 0.045 (cao)
Answer: B) 0.5

Question 17

B1 D) 7 - (-8) + 15 = 15 - 8 = 7 (cao)
Answer: D) 7

Question 18

B1 A) 6 - both points have the same x-coordinate, so the distance is the difference in the y-coordinates: 9 - 3 = 6 (cao)
Answer: A) 6

Question 19

B1 C) 1.6 m - 8 x 20 = 160 cm, and 160 cm = 1.6 m (cao)
Answer: C) 1.6 m

Question 20

B1 E) 5/12 - there are 4 + 5 + 3 = 12 counters in total, and 5 of them are blue, giving a probability of 5/12 (cao)
Answer: E) 5/12

Question 21

B1 D) 88 - French = 45% of 400 = 180; remaining = 400 - 180 = 220; German = 2/5 x 220 = 88 (cao)
Answer: D) 88

Question 22

B1 B) 28 - letting the numbers be n, n+2 and n+4 gives 3n + 6 = 90, so n = 28 (cao)
Answer: B) 28

Question 23

B1 A) £54 - a 25% reduction on £72 is 72 x 0.75 = £54 (cao)
Answer: A) £54

Question 24

B1 C) 110 - interior angles of a pentagon sum to 540 degrees, so 4x = 540 - 100 = 440, and x = 110 (cao)
Answer: C) 110 degrees

Question 25

B1 E) £21 - letting Tom = t, Priya = 2t and Ravi = 2t + 5 gives 5t + 5 = 45, so t = 8, Priya = 16 and Ravi = 21 (cao)
Answer: E) £21

Question 26

B1 A) BOARD - CUPBOARD and BOARDWALK are both real words (cao)
Answer: A) BOARD

Question 27

B1 E) BELL - DOORBELL and BELLBOY are both real words (cao)
Answer: E) BELL

Question 28

B1 B) FLOWER - SUNFLOWER and FLOWERPOT are both real words (cao)
Answer: B) FLOWER

Question 29

B1 D) DOG - a KITTEN is a baby CAT, and a PUPPY is a baby DOG (cao)
Answer: D) DOG

Question 30

B1 C) WALL - many PAGEs make up a BOOK, and many BRICKs make up a WALL (cao)
Answer: C) WALL

Question 31

B1 A) FIELD - a FISHERMAN works on the SEA, and a SHEPHERD works in a FIELD (cao)
Answer: A) FIELD

Question 32

B1 E) QUICK - RAPID means moving or happening fast, which is the meaning of QUICK (cao)
Answer: E) QUICK

Question 33

B1 B) HUGE - ENORMOUS means very large, which is the meaning of HUGE (cao)
Answer: B) HUGE

Question 34

B1 D) MEAN - GENEROUS means willing to give freely, and MEAN means unwilling to give or share (cao)
Answer: D) MEAN

Question 35

B1 C) MODERN - ANCIENT means from a very long time ago, and MODERN means from the present time (cao)
Answer: C) MODERN

Question 36

B1 A) ROSE - OAK, BIRCH, MAPLE and WILLOW are all trees, but ROSE is a flowering shrub, not a tree (cao)
Answer: A) ROSE

Question 37

B1 E) DOLPHIN - SALMON, TROUT, COD and HERRING are all fish, but a DOLPHIN is a mammal, not a fish (cao)
Answer: E) DOLPHIN

Question 38

B1 B) CAR - the first three letters of CARPET, read in order, spell CAR (cao)
Answer: B) CAR

Question 39

B1 D) ASK - letters 2 to 4 of BASKET, read in order, spell ASK (cao)
Answer: D) ASK

Question 40

B1 C) CLOSE - CLOSE the window and close the gap are both natural, correct phrases (cao)
Answer: C) CLOSE

Question 41

B1 A) SELL - SELL her old bicycle and sell fresh bread for a price are both natural, correct phrases (cao)
Answer: A) SELL

Question 42

B1 E) J - each letter moves two places forward in the alphabet (B, D, F, H, J) (cao)
Answer: E) J

Question 43

B1 B) O - the gap between letters increases by one each time (+2, +3, +4), so the next gap is +5, giving O (cao)
Answer: B) O

Question 44

B1 D) 162 - each term is multiplied by 3, so 54 x 3 = 162 (cao)
Answer: D) 162

Question 45

B1 C) 36 - the sequence is the square numbers (1², 2², 3², 4², 5²), so the next term is 6² = 36 (cao)
Answer: C) 36

Question 46

B1 A) 6 - C=3, A=1, B=2, and 3 + 1 + 2 = 6 (cao)
Answer: A) 6

Question 47

B1 E) CAT - C=3x2=6, A=1x2=2, T=20x2=40, matching the code 6, 2, 40 (cao)
Answer: E) CAT

Question 48

B1 B) TIN - T=20+5=25, I=9+5=14, N=14+5=19, matching the code 25, 14, 19 (cao)
Answer: B) TIN

Question 49

B1 D) OQQP - the code shifts each letter 2 places forward in the alphabet (S->U, T->V, A->C, R->T), so M->O, O->Q, O->Q, N->P, giving OQQP (cao)
Answer: D) OQQP

Question 50

B1 C) YZW - B (2nd from start) becomes Y (2nd from end), A (1st) becomes Z (1st from end), D (4th) becomes W (4th from end), giving YZW (cao)
Answer: C) YZW

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