GL-STYLE MIXED MOCK 5: MATHS AND VERBAL REASONING. 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. Section 2: Verbal Reasoning - 30 questions, 20 minutes, across six question types (5 questions each), each introduced with its own one-line instruction: Hidden Words, Odd One Out, Verbal Analogies, Create the Middle Word, Letter Sequences, and Number Codes. Every question 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: 55. Work as quickly and carefully as you can, and check your answers if you finish a section early.
Worked example. Worked example (Hidden Words): A word is hidden across two consecutive words in this sentence. Find it: 'We plan tea for four guests.' Answer: ANT. Join the two consecutive words 'plan' and 'tea' to get 'plantea'. Reading from the last letter of 'plan' and the first two letters of 'tea' gives A-N-T, spelling ANT. Always join each pair of consecutive words in turn and scan for a real word spanning the join.
1
SECTION 1: MATHEMATICS (25 minutes, 25 questions, no calculator allowed)
Q1. Work out 428 + 356.
A) 684
B) 776
C) 784
D) 794
E) 874
(Total for Question 1 is 1 mark)
2
Q2. Work out 900 - 365.
A) 435
B) 525
C) 535
D) 545
E) 635
(Total for Question 2 is 1 mark)
3
Q3. Work out 24 x 5.
A) 100
B) 110
C) 115
D) 120
E) 125
(Total for Question 3 is 1 mark)
4
Q4. Work out 182 / 13.
A) 12
B) 13
C) 14
D) 15
E) 16
(Total for Question 4 is 1 mark)
5
Q5. What is 1/3 of 45?
A) 9
B) 12
C) 15
D) 18
E) 22
(Total for Question 5 is 1 mark)
6
Q6. What is 3/8 + 1/4? Give your answer as a fraction.
A) 4/12
B) 1/2
C) 5/8
D) 4/8
E) 5/12
(Total for Question 6 is 1 mark)
7
Q7. Write 0.65 as a fraction in its simplest form.
A) 65/100
B) 13/20
C) 6/10
D) 13/25
E) 65/10
(Total for Question 7 is 1 mark)
8
Q8. Increase 60 by 20%.
A) 62
B) 68
C) 70
D) 72
E) 80
(Total for Question 8 is 1 mark)
9
Q9. A prize fund is shared in the ratio 3:5. If the total is 40, what is the larger share?
A) 15
B) 20
C) 24
D) 25
E) 32
(Total for Question 9 is 1 mark)
10
Q10. Solve: 3n + 5 = 20. What is n?
A) 3
B) 4
C) 5
D) 6
E) 15
(Total for Question 10 is 1 mark)
11
Q11. A rectangle has length 9 cm and width 4 cm. What is its perimeter?
A) 13 cm
B) 18 cm
C) 22 cm
D) 26 cm
E) 36 cm
(Total for Question 11 is 1 mark)
12
Q12. A triangle has a base of 10 cm and a height of 6 cm. What is its area?
A) 16 cm2
B) 30 cm2
C) 32 cm2
D) 60 cm2
E) 66 cm2
(Total for Question 12 is 1 mark)
13
Q13. How many minutes are there between 10:45 am and 1:15 pm?
A) 130
B) 140
C) 150
D) 160
E) 210
(Total for Question 13 is 1 mark)
14
Q14. A packet of biscuits costs £1.35. What is the cost of 6 packets?
A) £6.90
B) £7.20
C) £7.80
D) £8.10
E) £9.10
(Total for Question 14 is 1 mark)
15
Q15. Find the next number in the sequence: 3, 7, 15, 31, ...
A) 47
B) 55
C) 62
D) 63
E) 64
(Total for Question 15 is 1 mark)
16
Q16. What is 15% of 220?
A) 22
B) 30
C) 33
D) 35
E) 44
(Total for Question 16 is 1 mark)
17
Q17. A number is multiplied by 4, then 7 is subtracted, giving 21. What was the original number?
A) 3.5
B) 5
C) 7
D) 8
E) 11.5
(Total for Question 17 is 1 mark)
18
Q18. The mean of five numbers is 18. Four of the numbers are 12, 15, 20 and 22. What is the fifth number?
A) 18
B) 19
C) 21
D) 23
E) 26
(Total for Question 18 is 1 mark)
19
Q19. A shop reduces a £45 jacket by 30% in a sale. What is the sale price?
A) £13.50
B) £15.00
C) £30.00
D) £31.50
E) £33.50
(Total for Question 19 is 1 mark)
20
Q20. What is the lowest common multiple (LCM) of 4 and 10?
A) 2
B) 14
C) 20
D) 24
E) 40
(Total for Question 20 is 1 mark)
21
Q21 (harder). Three friends share £84 in the ratio 2:3:7. How much does the person with the largest share receive?
A) £14
B) £21
C) £42
D) £49
E) £56
(Total for Question 21 is 1 mark)
22
Q22 (harder). A cyclist travels 54 km in 1 hour 30 minutes. What is her average speed in km/h?
A) 27 km/h
B) 30 km/h
C) 33 km/h
D) 36 km/h
E) 45 km/h
(Total for Question 22 is 1 mark)
23
Q23 (harder). The angles in a quadrilateral are in the ratio 2:3:4:6. What is the size of the largest angle?
A) 72 degrees
B) 96 degrees
C) 120 degrees
D) 144 degrees
E) 150 degrees
(Total for Question 23 is 1 mark)
24
Q24 (harder). A tank holds 240 litres when full. It is currently 3/8 full. How many more litres are needed to fill it completely?
A) 90
B) 120
C) 150
D) 165
E) 180
(Total for Question 24 is 1 mark)
25
Q25 (harder). A positive whole number less than 10, when squared, gives a result that is 5 more than 4 times the number. What is the number?
A) 3
B) 4
C) 5
D) 6
E) 7
(Total for Question 25 is 1 mark)
26
SECTION 2: VERBAL REASONING (20 minutes, 30 questions across six types)
TYPE 1: HIDDEN WORDS - A word of three or four letters is hidden across the join between two consecutive words in each sentence. Find the hidden word.
Q1. Find the word hidden across two consecutive words in this sentence: 'The red car mat was new.'
A) CAT
B) ARM
C) CAR
D) TAR
E) MAT
(Total for Question 26 is 1 mark)
27
(Hidden words) Q2. Find the word hidden across two consecutive words in this sentence: 'I have some art homework tonight.'
A) OAR
B) EAR
C) ART
D) ARM
E) SOME
(Total for Question 27 is 1 mark)
28
(Hidden words) Q3. Find the word hidden across two consecutive words in this sentence: 'The tomatoes grow nearby every summer.'
A) OWN
B) OAR
C) ARM
D) WIN
E) BYE
(Total for Question 28 is 1 mark)
29
(Hidden words) Q4. Find the word hidden across two consecutive words in this sentence: 'She played the piano very beautifully at the concert.'
A) OVER
B) OVEN
C) EVER
D) VERY
E) NAVY
(Total for Question 29 is 1 mark)
30
(Hidden words - harder) Q5. Find the word hidden across two consecutive words in this sentence: 'I read some astonishing news today.'
A) EAST
B) SEAT
C) TOAST
D) STONE
E) NOSE
(Total for Question 30 is 1 mark)
31
TYPE 2: ODD ONE OUT - Each question gives five words. Four of the five share something in common. Find the ONE word that does NOT belong.
Q1. Which word is the odd one out?
A) Apple
B) Banana
C) Carrot
D) Orange
E) Pear
(Total for Question 31 is 1 mark)
32
(Odd one out) Q2. Which word is the odd one out?
A) Square
B) Triangle
C) Circle
D) Cube
E) Pentagon
(Total for Question 32 is 1 mark)
33
(Odd one out) Q3. Which word is the odd one out?
A) Quickly
B) Slowly
C) Happy
D) Loudly
E) Softly
(Total for Question 33 is 1 mark)
34
(Odd one out) Q4. Which word is the odd one out?
A) Knee
B) Knife
C) Know
D) Kettle
E) Knock
(Total for Question 34 is 1 mark)
35
(Odd one out - harder) Q5. Which word is the odd one out?
A) LEVEL
B) RADAR
C) NOON
D) STARS
E) CIVIC
(Total for Question 35 is 1 mark)
36
TYPE 3: VERBAL ANALOGIES - The first pair of words are linked in a particular way. Choose the word that completes the second pair in the same way.
Q1. PUPPY is to DOG as KITTEN is to ...?
A) Kitten
B) Cat
C) Mouse
D) Bird
E) Puppy
(Total for Question 36 is 1 mark)
37
(Verbal analogies) Q2. HOT is to COLD as UP is to ...?
A) Down
B) High
C) Top
D) Warm
E) Over
(Total for Question 37 is 1 mark)
38
(Verbal analogies) Q3. PAGE is to BOOK as PETAL is to ...?
A) Flower
B) Leaf
C) Stem
D) Tree
E) Garden
(Total for Question 38 is 1 mark)
39
(Verbal analogies) Q4. PEN is to WRITE as SCISSORS is to ...?
A) Cut
B) Sharp
C) Paper
D) Blade
E) Point
(Total for Question 39 is 1 mark)
40
(Verbal analogies - harder) Q5. WHISPER is to SHOUT as STROLL is to ...?
A) Walk
B) Sprint
C) Rest
D) Jog
E) Stand
(Total for Question 40 is 1 mark)
41
TYPE 4: CREATE THE MIDDLE WORD - Find the one word that completes both word pairs, joining onto the end of the first word and onto the front of the second word to make two new words.
Q1. Which word completes both: FOOT(...) and (...)ROOM?
A) Ball
B) Path
C) Step
D) Print
E) Note
(Total for Question 41 is 1 mark)
42
(Create the middle word) Q2. Which word completes both: SUN(...) and (...)LIGHT?
A) Day
B) Rise
C) Set
D) Shine
E) Beam
(Total for Question 42 is 1 mark)
43
(Create the middle word) Q3. Which word completes both: DOG(...) and (...)WIFE?
A) House
B) Ear
C) Sled
D) Mid
E) Nut
(Total for Question 43 is 1 mark)
44
(Create the middle word) Q4. Which word completes both: (...)DOOR and OUT(...)?
A) Back
B) Side
C) Front
D) Trap
E) In
(Total for Question 44 is 1 mark)
45
(Create the middle word - harder) Q5. Which word completes both: (...)CAKE and BUTTER(...)?
A) Cup
B) Milk
C) Pan
D) Scotch
E) Nut
(Total for Question 45 is 1 mark)
46
TYPE 5: LETTER SEQUENCES - Work out the rule connecting the letters (or letter pairs) in each sequence, then choose the letters that continue it.
Q1. What comes next in this sequence? B, D, F, H, ...?
A) I
B) J
C) K
D) G
E) L
(Total for Question 46 is 1 mark)
47
(Letter sequences) Q2. What comes next in this sequence? Z, X, V, T, ...?
A) S
B) Q
C) R
D) U
E) P
(Total for Question 47 is 1 mark)
48
(Letter sequences) Q3. What comes next in this sequence? AZ, BY, CX, DW, ...?
A) EV
B) EU
C) DV
D) FV
E) EW
(Total for Question 48 is 1 mark)
49
(Letter sequences) Q4. What comes next in this sequence? CE, FH, IK, LN, ...?
A) OQ
B) NP
C) OP
D) NQ
E) PR
(Total for Question 49 is 1 mark)
50
(Letter sequences - harder) Q5. What comes next in this sequence? BCD, EFG, HIJ, KLM, ...?
A) LMN
B) MNO
C) NOP
D) OPQ
E) NPQ
(Total for Question 50 is 1 mark)
51
TYPE 6: NUMBER CODES - Each letter of the alphabet is given a number value using the rule stated. Use the rule to encode or decode the word.
Q1. If A=1, B=2, C=3, and so on, what does the code 3-1-20 spell?
A) Cat
B) Bat
C) Car
D) Cut
E) Bar
(Total for Question 51 is 1 mark)
52
(Number codes) Q2. Using the same code (A=1, B=2, C=3, and so on), what number code spells the word DOG?
A) 4-15-7
B) 4-14-7
C) 5-15-7
D) 4-15-8
E) 3-15-7
(Total for Question 52 is 1 mark)
53
(Number codes) Q3. In a code, each letter is represented by the number 2 more than its position in the alphabet (A=3, B=4, C=5, and so on). What is the code for the word GOLD?
A) 9-17-14-6
B) 9-16-14-6
C) 8-17-14-6
D) 9-17-13-6
E) 9-17-14-5
(Total for Question 53 is 1 mark)
54
(Number codes) Q4. In a code, letters are numbered from the end of the alphabet, so Z=1, Y=2, X=3, and so on. What is the code for the word BIRD?
A) 25-18-9-23
B) 25-19-9-23
C) 24-18-9-23
D) 25-18-8-23
E) 25-18-9-22
(Total for Question 54 is 1 mark)
55
(Number codes - harder) Q5. In a code, each letter's number is found by doubling its position in the alphabet and then subtracting 1 (A=1, B=3, C=5, and so on). What is the code for the word MILK?
A) 25-17-23-21
B) 25-17-23-19
C) 25-15-23-21
D) 27-17-23-21
E) 25-17-21-21
(Total for Question 55 is 1 mark)
Mark scheme · EP.T14 GL-Style Mixed Mock 5: Maths and Verbal Reasoning
Question 1
B1 C) 784 - 428 + 356 = 784 (cao)
Answer: C) 784
Question 2
B1 C) 535 - 900 - 365 = 535 (cao)
Answer: C) 535
Question 3
B1 D) 120 - 24 x 5 = 120 (cao)
Answer: D) 120
Question 4
B1 C) 14 - 182 / 13 = 14 (cao)
Answer: C) 14
Question 5
B1 C) 15 - 45 / 3 = 15 (cao)
Answer: C) 15
Question 6
B1 C) 5/8 - 1/4 = 2/8, so 3/8 + 2/8 = 5/8 (oe)
Answer: C) 5/8
Question 7
B1 B) 13/20 - 65/100 divided by the highest common factor, 5, gives 13/20 (oe, must be simplest form)
Answer: B) 13/20
Question 8
B1 D) 72 - 20% of 60 is 12, so 60 + 12 = 72 (cao)
Answer: D) 72
Question 9
B1 D) 25 - the ratio has 8 parts in total, so 40 / 8 = 5 per part; the larger share is 5 x 5 = 25 (cao)
Answer: D) 25
Question 10
B1 C) n = 5 - 20 - 5 = 15, and 15 / 3 = 5 (cao)
Answer: C) n = 5
Question 11
B1 D) 26 cm - perimeter = 2 x (9 + 4) = 26 cm (cao)
Answer: D) 26 cm
Question 12
B1 B) 30 cm2 - area = 1/2 x 10 x 6 = 30 cm2 (cao)
Answer: B) 30 cm2
Question 13
B1 C) 150 - from 10:45 am to 1:15 pm is 2 hours 30 minutes, which is 150 minutes (cao)
Answer: C) 150
Question 14
B1 D) £8.10 - 1.35 x 6 = 8.10 (cao)
Answer: D) £8.10
Question 15
B1 D) 63 - each term doubles and adds 1: 31 x 2 + 1 = 63 (cao)
Answer: D) 63
Question 16
B1 C) 33 - 10% of 220 is 22, and 5% is 11, so 15% is 22 + 11 = 33 (cao)
Answer: C) 33
Question 17
B1 C) 7 - (21 + 7) / 4 = 28 / 4 = 7 (cao)
Answer: C) 7
Question 18
B1 C) 21 - the total of all five numbers is 18 x 5 = 90; 90 - (12 + 15 + 20 + 22) = 90 - 69 = 21 (cao)
Answer: C) 21
Question 19
B1 D) £31.50 - 30% of £45 is £13.50, so the sale price is £45 - £13.50 = £31.50 (cao)
Answer: D) £31.50
Question 20
B1 C) 20 - the lowest number that is a multiple of both 4 and 10 is 20 (cao)
Answer: C) 20
Question 21
B1 D) £49 - the ratio has 12 parts in total, so £84 / 12 = £7 per part; the largest share is 7 x £7 = £49 (cao)
Answer: D) £49
Question 22
B1 D) 36 km/h - 54 / 1.5 = 36 km/h (cao)
Answer: D) 36 km/h
Question 23
B1 D) 144 degrees - the ratio has 15 parts, and angles in a quadrilateral sum to 360 degrees, so 360 / 15 = 24 degrees per part; the largest angle is 6 x 24 = 144 degrees (cao)
Answer: D) 144 degrees
Question 24
B1 C) 150 - 3/8 of 240 is 90 litres already in the tank, so 240 - 90 = 150 litres are needed (cao)
Answer: C) 150
Question 25
B1 C) 5 - 52 = 25, and 4 x 5 + 5 = 25, so the number is 5 (cao)
Answer: C) 5
Question 26
B1 B) ARM - hidden across 'car' and 'mat': c-a-R-M-at (cao)
Answer: B) ARM
Question 27
B1 B) EAR - hidden across 'some' and 'art': som-E-A-R-t (cao)
Answer: B) EAR
Question 28
B1 A) OWN - hidden across 'grow' and 'nearby': gr-OW-N-earby (cao)
Answer: A) OWN
Question 29
B1 A) OVER - hidden across 'piano' and 'very': pian-O-V-E-R-y (cao)
Answer: A) OVER
Question 30
B1 A) EAST - hidden across 'some' and 'astonishing': som-E-A-S-T-onishing (cao)
Answer: A) EAST
Question 31
B1 C) Carrot - the only vegetable; the rest are fruits (cao)
Answer: C) Carrot
Question 32
B1 D) Cube - the only 3D shape; the rest are 2D shapes (cao)
Answer: D) Cube
Question 33
B1 C) Happy - the only adjective; the rest are adverbs ending in -ly (cao)
Answer: C) Happy
Question 34
B1 D) Kettle - the only word where the K is pronounced; the rest begin with a silent K (cao)
Answer: D) Kettle
Question 35
B1 D) STARS - the only word that is not a palindrome; the rest read the same forwards and backwards (cao)
Answer: D) STARS
Question 36
B1 B) Cat - a puppy grows into a dog, just as a kitten grows into a cat (cao)
Answer: B) Cat
Question 37
B1 A) Down - hot and cold are opposites, just as up and down are opposites (cao)
Answer: A) Down
Question 38
B1 A) Flower - a page is part of a book, just as a petal is part of a flower (cao)
Answer: A) Flower
Question 39
B1 A) Cut - a pen is used to write, just as scissors are used to cut (cao)
Answer: A) Cut
Question 40
B1 B) Sprint - whisper and shout are opposite extremes of speaking, just as stroll and sprint are opposite extremes of moving (cao)
Answer: B) Sprint
Question 41
B1 A) Ball - FOOTBALL and BALLROOM are both real words (cao)
Answer: A) Ball
Question 42
B1 A) Day - SUNDAY and DAYLIGHT are both real words (cao)
Answer: A) Day
Question 43
B1 A) House - DOGHOUSE and HOUSEWIFE are both real words (cao)
Answer: A) House
Question 44
B1 A) Back - BACKDOOR and OUTBACK are both real words (cao)
Answer: A) Back
Question 45
B1 A) Cup - CUPCAKE and BUTTERCUP are both real words (cao)
Answer: A) Cup
Question 46
B1 B) J - the sequence moves forward two letters each time: B, D, F, H, J (cao)
Answer: B) J
Question 47
B1 C) R - the sequence moves back two letters each time: Z, X, V, T, R (cao)
Answer: C) R
Question 48
B1 A) EV - the first letter moves forward through the alphabet while the second letter moves backward (cao)
Answer: A) EV
Question 49
B1 A) OQ - each letter in the pair moves three positions forward from the pair before it (cao)
Answer: A) OQ
Question 50
B1 C) NOP - each group of three consecutive letters starts three letters after the start of the previous group (cao)
Answer: C) NOP
Question 51
B1 A) Cat - 3=C, 1=A, 20=T (cao)
Answer: A) Cat
Question 52
B1 A) 4-15-7 - D=4, O=15, G=7 (cao)
Answer: A) 4-15-7
Question 53
B1 A) 9-17-14-6 - G=9, O=17, L=14, D=6, using position + 2 (cao)
Answer: A) 9-17-14-6
Question 54
B1 A) 25-18-9-23 - B=25, I=18, R=9, D=23, using 27 minus the normal position (cao)
Answer: A) 25-18-9-23
Question 55
B1 A) 25-17-23-21 - M=25, I=17, L=23, K=21, using 2 x position - 1 (cao)