GL-STYLE MIXED MOCK 10: 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: Word Connections, Hidden Words, Opposite in Meaning, Letter Sequences, Compound Words, and Logical Deduction. 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 (Compound Words): Which one word can be added AFTER all three of these words to make three new real words: CLASS, BED and BATH? Answer: ROOM. Try ROOM after each word in turn: CLASS + ROOM = CLASSROOM, BED + ROOM = BEDROOM, and BATH + ROOM = BATHROOM - all three are real words, so ROOM is correct. Always test your chosen word against every one of the words given; if it fails to make a real word with even one of them, it cannot be the answer.
1
SECTION 1: MATHEMATICS (25 minutes, 25 questions, no calculator allowed)
Q1. Work out 3482 + 2619.
A) 6091
B) 6101
C) 6111
D) 5101
E) 6201
(Total for Question 1 is 1 mark)
2
Q2. Work out 7004 - 2867.
A) 4133
B) 4237
C) 4137
D) 4147
E) 5137
(Total for Question 2 is 1 mark)
3
Q3. What is 8 x 7?
A) 54
B) 56
C) 58
D) 64
E) 48
(Total for Question 3 is 1 mark)
4
Q4. What is 1/4 of 32?
A) 4
B) 6
C) 8
D) 12
E) 16
(Total for Question 4 is 1 mark)
5
Q5. A film starts at 14:35 and lasts 1 hour 50 minutes. What time does it finish?
A) 16:15
B) 16:25
C) 16:35
D) 15:25
E) 16:05
(Total for Question 5 is 1 mark)
6
Q6. What is 15% of 220?
A) 22
B) 30
C) 33
D) 35
E) 44
(Total for Question 6 is 1 mark)
7
Q7. 45 sweets are shared between Amara and Ben in the ratio 4:5. How many does Ben get?
A) 20
B) 25
C) 27
D) 18
E) 30
(Total for Question 7 is 1 mark)
8
Q8. A rectangular garden is 9 m long and 6 m wide. What is its perimeter?
A) 15 m
B) 54 m
C) 30 m
D) 27 m
E) 45 m
(Total for Question 8 is 1 mark)
9
Q9. A square has side length 7 cm. What is its area?
A) 14 cm2
B) 28 cm2
C) 49 cm2
D) 42 cm2
E) 56 cm2
(Total for Question 9 is 1 mark)
10
Q10. Find the next number in the sequence: 3, 7, 11, 15, ...
A) 17
B) 18
C) 19
D) 20
E) 21
(Total for Question 10 is 1 mark)
11
Q11. Priya buys 3 notebooks at £1.25 each and a pen for £0.80. How much change does she get from a £10 note?
A) £5.35
B) £5.45
C) £5.55
D) £4.55
E) £6.45
(Total for Question 11 is 1 mark)
12
Q12. Find the mean of 4, 9, 5, 10 and 7.
A) 6
B) 6.5
C) 7
D) 7.5
E) 8
(Total for Question 12 is 1 mark)
13
Q13. Two angles on a straight line are 68 degrees and x degrees. What is x?
A) 102 degrees
B) 112 degrees
C) 122 degrees
D) 92 degrees
E) 118 degrees
(Total for Question 13 is 1 mark)
14
Q14. A train travels 120 miles in 2 hours. What is its average speed?
A) 50 mph
B) 55 mph
C) 60 mph
D) 65 mph
E) 70 mph
(Total for Question 14 is 1 mark)
15
Q15. What is 2/3 + 1/6? Give your answer as a fraction.
A) 3/9
B) 1/2
C) 5/6
D) 5/9
E) 1
(Total for Question 15 is 1 mark)
16
Q16. What is 4.6 x 3?
A) 12.8
B) 13.8
C) 14.6
D) 13.6
E) 12.6
(Total for Question 16 is 1 mark)
17
Q17. Which of these numbers is a prime number: 51, 57, 61, 63, 65?
A) 51
B) 57
C) 61
D) 63
E) 65
(Total for Question 17 is 1 mark)
18
Q18. Solve: 3x + 4 = 25. What is x?
A) 6
B) 7
C) 8
D) 9
E) 21
(Total for Question 18 is 1 mark)
19
Q19. A coat costs £60. Its price increases by 20%. What is the new price?
A) £62
B) £66
C) £70
D) £72
E) £80
(Total for Question 19 is 1 mark)
20
Q20. A cuboid has length 5 cm, width 4 cm and height 3 cm. What is its volume?
A) 12 cm3
B) 35 cm3
C) 60 cm3
D) 45 cm3
E) 27 cm3
(Total for Question 20 is 1 mark)
21
Q21 (harder). A shop reduces a £45 jacket by 30% in a sale. It is then reduced by a further 10% of the sale price. What is the final price?
A) £27.00
B) £28.35
C) £29.25
D) £31.50
E) £26.55
(Total for Question 21 is 1 mark)
22
Q22 (harder). The ratio of boys to girls in a class is 3:4. There are 12 boys. How many pupils are in the class altogether?
A) 16
B) 21
C) 24
D) 28
E) 32
(Total for Question 22 is 1 mark)
23
Q23 (harder). Work out the value of y: y/5 - 2 = 3.
A) 5
B) 15
C) 20
D) 25
E) 35
(Total for Question 23 is 1 mark)
24
Q24 (harder). A car travels for 45 minutes at an average speed of 80 km/h. How far does it travel?
A) 40 km
B) 45 km
C) 55 km
D) 60 km
E) 72 km
(Total for Question 24 is 1 mark)
25
Q25 (harder). A number is increased by 25% and the result is 60. What was the original number?
A) 45
B) 46
C) 47
D) 48
E) 50
(Total for Question 25 is 1 mark)
26
SECTION 2: VERBAL REASONING (20 minutes, 30 questions across six types)
TYPE 1: WORD CONNECTIONS - Work out how the first pair of words is connected, then choose the word that completes the second pair in the same way.
Q1. PEN is to WRITE as SCISSORS is to ...?
A) SHARP
B) CUT
C) PAPER
D) BLADE
E) FOLD
(Total for Question 26 is 1 mark)
27
(Word Connections) Q2. OAK is to TREE as SALMON is to ...?
A) RIVER
B) SWIM
C) FISH
D) SCALES
E) ANIMAL
(Total for Question 27 is 1 mark)
28
(Word Connections) Q3. BUY is to SELL as BORROW is to ...?
A) LEND
B) TAKE
C) KEEP
D) OWE
E) RETURN
(Total for Question 28 is 1 mark)
29
(Word Connections) Q4. PAGE is to BOOK as PETAL is to ...?
A) GARDEN
B) FLOWER
C) STEM
D) LEAF
E) ROSE
(Total for Question 29 is 1 mark)
30
(Word Connections - harder) Q5. WARM is to HOT as COOL is to ...?
A) FREEZING
B) COLD
C) CHILLY
D) ICY
E) MILD
(Total for Question 30 is 1 mark)
31
TYPE 2: HIDDEN WORDS - A short hidden word is spelled by consecutive letters inside the word given. Find it.
Q1. Find the hidden NUMBER spelled by consecutive letters in TENNIS.
A) TEN
B) NINE
C) TWO
D) SIX
E) ONE
(Total for Question 31 is 1 mark)
32
(Hidden Words) Q2. Find the hidden NUMBER spelled by consecutive letters in NINETY.
A) TEN
B) NINE
C) NET
D) ONE
E) TWO
(Total for Question 32 is 1 mark)
33
(Hidden Words) Q3. Find the hidden COLOUR spelled by consecutive letters in REDECORATE.
A) RED
B) TAN
C) BLUE
D) GREY
E) PINK
(Total for Question 33 is 1 mark)
34
(Hidden Words) Q4. Find the hidden ANIMAL spelled by consecutive letters in GOATEE.
A) GOAT
B) DOG
C) COW
D) EWE
E) RAM
(Total for Question 34 is 1 mark)
35
(Hidden Words - harder) Q5. Find the hidden ANIMAL spelled by consecutive letters in BEARD.
A) BEAR
B) DEER
C) BOAR
D) HARE
E) SEAL
(Total for Question 35 is 1 mark)
36
TYPE 3: OPPOSITE IN MEANING - Choose the word that means the OPPOSITE of the word given in capital letters.
Q1. GENEROUS
A) Kind
B) Selfish
C) Wealthy
D) Polite
E) Honest
(Total for Question 36 is 1 mark)
37
(Opposite in meaning) Q2. ANCIENT
A) Old
B) Historic
C) Modern
D) Rare
E) Broken
(Total for Question 37 is 1 mark)
38
(Opposite in meaning) Q3. CONCEAL
A) Hide
B) Cover
C) Reveal
D) Protect
E) Disguise
(Total for Question 38 is 1 mark)
39
(Opposite in meaning) Q4. CAUTIOUS
A) Careful
B) Reckless
C) Nervous
D) Wary
E) Alert
(Total for Question 39 is 1 mark)
40
(Opposite in meaning - harder) Q5. METICULOUS
A) Careful
B) Precise
C) Careless
D) Thorough
E) Detailed
(Total for Question 40 is 1 mark)
41
TYPE 4: LETTER SEQUENCES - Work out the pattern in each sequence of letters, based on their position in the alphabet, and choose the correct answer.
Q1. What are the next two letters in this sequence? B D F H ...?
A) I, K
B) J, L
C) J, K
D) I, J
E) K, L
(Total for Question 41 is 1 mark)
42
(Letter sequences) Q2. What are the next two letters in this sequence? Z X V T ...?
A) R, P
B) S, Q
C) Q, O
D) R, Q
E) S, P
(Total for Question 42 is 1 mark)
43
(Letter sequences) Q3. What is the next letter in this sequence? C F I L ...?
A) M
B) N
C) O
D) P
E) Q
(Total for Question 43 is 1 mark)
44
(Letter sequences) Q4. What are the next two letters in this sequence? A C F J ...?
A) N, S
B) O, U
C) O, T
D) N, T
E) P, V
(Total for Question 44 is 1 mark)
45
(Letter sequences - harder) Q5. Which letter is exactly in the middle of this sequence: D G J M P?
A) G
B) J
C) M
D) D
E) P
(Total for Question 45 is 1 mark)
46
TYPE 5: COMPOUND WORDS - Find the one word that can be joined to all three of the given words, always in the same position, to make three new real words.
Q1. Which word can be added AFTER each of these words to make three new words: SUN, DAY, MOON?
A) LIGHT
B) SET
C) SHINE
D) BEAM
E) RISE
(Total for Question 46 is 1 mark)
47
(Compound words) Q2. Which word can be added BEFORE each of these words to make three new words: BALL, STORM, FALL?
A) SNOW
B) RAIN
C) WIND
D) FIRE
E) HAIL
(Total for Question 47 is 1 mark)
48
(Compound words) Q3. Which word can be added AFTER each of these words to make three new words: TOOTH, PAINT, HAIR?
A) BRUSH
B) COMB
C) BALL
D) BAND
E) LINE
(Total for Question 48 is 1 mark)
49
(Compound words) Q4. Which word can be added BEFORE each of these words to make three new words: LIGHT, SIDE, WORK?
A) FIRE
B) SUN
C) NIGHT
D) HOME
E) OUT
(Total for Question 49 is 1 mark)
50
(Compound words - harder) Q5. Which word can be added AFTER each of these words to make three new words: RAIN, SNOW, DOWN?
A) FALL
B) STORM
C) DROP
D) MAN
E) BOW
(Total for Question 50 is 1 mark)
51
TYPE 6: LOGICAL DEDUCTION - Read each statement or set of statements carefully, then choose the answer that must be true.
Q1. Amelia is taller than Ben. Ben is taller than Charlie. Who is the shortest?
A) Amelia
B) Ben
C) Charlie
D) Cannot tell
E) They are the same height
(Total for Question 51 is 1 mark)
52
(Logical deduction) Q2. Priya is older than Jake. Jake is older than Leo. Leo is older than Maya. Who is the oldest?
A) Priya
B) Jake
C) Leo
D) Maya
E) Cannot tell
(Total for Question 52 is 1 mark)
53
(Logical deduction) Q3. All the children in Class 6 who play the violin also play the piano. Sam plays the violin. Which of these must be true?
A) Sam plays the piano
B) Sam does not play the piano
C) Sam plays only the violin
D) Sam plays no instruments
E) Sam plays the piano but not the violin
(Total for Question 53 is 1 mark)
54
(Logical deduction) Q4. If today is Wednesday, what day will it be in five days' time?
A) Sunday
B) Monday
C) Tuesday
D) Saturday
E) Friday
(Total for Question 54 is 1 mark)
55
(Logical deduction - harder) Q5. Four friends, Oliver, Freya, Noah and Isla, are standing in a queue. Noah is at the front of the queue. Oliver is directly in front of Freya. Isla is directly behind Freya. What is the order of the queue from front to back?
A) Noah, Oliver, Freya, Isla
B) Oliver, Noah, Freya, Isla
C) Noah, Freya, Oliver, Isla
D) Noah, Oliver, Isla, Freya
E) Freya, Oliver, Noah, Isla
(Total for Question 55 is 1 mark)
Mark scheme · EP.T40 GL-Style Mixed Mock 10: Maths and Verbal Reasoning
B1 C) 33 - 10% of 220 is 22, and 5% is 11, so 15% is 22 + 11 = 33 (cao)
Answer: C) 33
Question 7
B1 B) 25 - the ratio has 9 parts in total, so 45 / 9 = 5 per part; Ben's share is 5 x 5 = 25 (cao)
Answer: B) 25
Question 8
B1 C) 30 m - perimeter = 2 x (9 + 6) = 30 m (cao)
Answer: C) 30 m
Question 9
B1 C) 49 cm2 - area = 7 x 7 = 49 cm2 (cao)
Answer: C) 49 cm2
Question 10
B1 C) 19 - the sequence increases by 4 each time, so the next term after 15 is 19 (cao)
Answer: C) 19
Question 11
B1 B) £5.45 - 3 x £1.25 = £3.75, plus £0.80 = £4.55 spent; £10.00 - £4.55 = £5.45 change (cao)
Answer: B) £5.45
Question 12
B1 C) 7 - the total of the five numbers is 4 + 9 + 5 + 10 + 7 = 35; 35 / 5 = 7 (cao)
Answer: C) 7
Question 13
B1 B) 112 degrees - angles on a straight line sum to 180 degrees, so x = 180 - 68 = 112 (cao)
Answer: B) x = 112 degrees
Question 14
B1 C) 60 mph - speed = distance / time = 120 / 2 = 60 mph (cao)
Answer: C) 60 mph
Question 15
B1 C) 5/6 - 2/3 converts to 4/6, and 4/6 + 1/6 = 5/6 (oe)
Answer: C) 5/6
Question 16
B1 B) 13.8 - 4.6 x 3 = 13.8 (cao)
Answer: B) 13.8
Question 17
B1 C) 61 - 61 has no factors other than 1 and itself, so it is the only prime number in the list (cao)
Answer: C) 61
Question 18
B1 B) x = 7 - 25 - 4 = 21, and 21 / 3 = 7 (cao)
Answer: B) x = 7
Question 19
B1 D) £72 - 20% of £60 is £12, and £60 + £12 = £72 (cao)
Answer: D) £72
Question 20
B1 C) 60 cm3 - volume = 5 x 4 x 3 = 60 cm3 (cao)
Answer: C) 60 cm3
Question 21
B1 B) £28.35 - £45 x 0.7 = £31.50, and £31.50 x 0.9 = £28.35 (cao)
Answer: B) £28.35
Question 22
B1 D) 28 - 12 boys is 3 parts, so 1 part = 4; girls = 4 parts = 16; total = 12 + 16 = 28 (cao)
Answer: D) 28
Question 23
B1 D) y = 25 - 3 + 2 = 5, and 5 x 5 = 25 (cao)
Answer: D) y = 25
Question 24
B1 D) 60 km - 45 minutes = 0.75 hours; 80 x 0.75 = 60 km (cao)
Answer: D) 60 km
Question 25
B1 D) 48 - the original number x 1.25 = 60, so the original number = 60 / 1.25 = 48 (cao)
Answer: D) 48
Question 26
B1 B) CUT - a PEN is used to WRITE, and SCISSORS are used to CUT (cao)
Answer: B) CUT
Question 27
B1 C) FISH - an OAK is a type of TREE, and a SALMON is a type of FISH (cao)
Answer: C) FISH
Question 28
B1 A) LEND - BUY and SELL are opposite actions, and the opposite of BORROW is LEND (cao)
Answer: A) LEND
Question 29
B1 B) FLOWER - a PAGE is part of a BOOK, and a PETAL is part of a FLOWER (cao)
Answer: B) FLOWER
Question 30
B1 B) COLD - WARM intensifies to HOT, and COOL intensifies to COLD (cao)
Answer: B) COLD
Question 31
B1 A) TEN - T-E-N are the first three consecutive letters of TENNIS, spelling TEN (cao)
Answer: A) TEN
Question 32
B1 B) NINE - N-I-N-E are the first four consecutive letters of NINETY, spelling NINE (cao)
Answer: B) NINE
Question 33
B1 A) RED - R-E-D are the first three consecutive letters of REDECORATE, spelling RED (cao)
Answer: A) RED
Question 34
B1 A) GOAT - G-O-A-T are the first four consecutive letters of GOATEE, spelling GOAT (cao)
Answer: A) GOAT
Question 35
B1 A) BEAR - B-E-A-R are the first four consecutive letters of BEARD, spelling BEAR (cao)
Answer: A) BEAR
Question 36
B1 B) Selfish - GENEROUS means willing to give freely, so its opposite is SELFISH, meaning concerned only with oneself (cao)
Answer: B) Selfish
Question 37
B1 C) Modern - ANCIENT means very old, so its opposite is MODERN, meaning belonging to the present time (cao)
Answer: C) Modern
Question 38
B1 C) Reveal - CONCEAL means to hide something, so its opposite is REVEAL, meaning to show or make known (cao)
Answer: C) Reveal
Question 39
B1 B) Reckless - CAUTIOUS means careful to avoid danger, so its opposite is RECKLESS, meaning acting without thinking of the consequences (cao)
Answer: B) Reckless
Question 40
B1 C) Careless - METICULOUS means extremely careful and precise about details, so its opposite is CARELESS, meaning not paying enough attention to detail (cao)
Answer: C) Careless
Question 41
B1 B) J, L - each letter increases by two places in the alphabet: B, D, F, H, J, L (cao)
Answer: B) J, L
Question 42
B1 A) R, P - each letter decreases by two places in the alphabet: Z, X, V, T, R, P (cao)
Answer: A) R, P
Question 43
B1 C) O - each letter increases by three places in the alphabet: C, F, I, L, O (cao)
Answer: C) O
Question 44
B1 B) O, U - the gap between each pair of letters increases by one each time (2, 3, 4), so J is followed by a gap of 5 to give O, then a gap of 6 to give U (cao)
Answer: B) O, U
Question 45
B1 B) J - the sequence has five letters in alphabetical order, so the middle (third) letter is J (cao)
Answer: B) J
Question 46
B1 A) LIGHT - SUNLIGHT, DAYLIGHT and MOONLIGHT are all real words (cao)
Answer: A) LIGHT
Question 47
B1 A) SNOW - SNOWBALL, SNOWSTORM and SNOWFALL are all real words (cao)
Answer: A) SNOW
Question 48
B1 A) BRUSH - TOOTHBRUSH, PAINTBRUSH and HAIRBRUSH are all real words (cao)
Answer: A) BRUSH
Question 49
B1 A) FIRE - FIRELIGHT, FIRESIDE and FIREWORK are all real words (cao)
Answer: A) FIRE
Question 50
B1 A) FALL - RAINFALL, SNOWFALL and DOWNFALL are all real words (cao)
Answer: A) FALL
Question 51
B1 C) Charlie - the order from tallest to shortest is Amelia, Ben, Charlie, making Charlie the shortest (cao)
Answer: C) Charlie
Question 52
B1 A) Priya - the order from oldest to youngest is Priya, Jake, Leo, Maya, making Priya the oldest (cao)
Answer: A) Priya
Question 53
B1 A) Sam plays the piano - every violin player in Class 6 also plays the piano, and Sam plays the violin, so Sam must also play the piano (cao)
Answer: A) Sam plays the piano
Question 54
B1 B) Monday - counting forward five days from Wednesday gives Thursday, Friday, Saturday, Sunday, Monday (cao)
Answer: B) Monday
Question 55
B1 A) Noah, Oliver, Freya, Isla - Noah is at the front; Oliver is directly in front of Freya; Isla is directly behind Freya, giving this order (cao)