Revision Library

revisionlibrary.co.uk

11+ · GL ASSESSMENT

EP.T10 GL-Style Mixed Mock 4: Maths and Verbal Reasoning

GL ASSESSMENT GL-11PLUS-MATHS-VR-MOCK-4 · Calculators not allowed · about 55 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

GL-STYLE MIXED MOCK 4: MATHS AND VERBAL REASONING. Time allowed: 55 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, 30 minutes, across six question types (5 questions each), each introduced with its own one-line instruction: Letters for Numbers, Number Connections, Complete the Third Pair, Word Association (Double Meaning), Two Odd Ones Out, and Logic 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 (Letters for numbers): F = 4, G = 7, H = 2, J = 9, K = 6. Work out F + H. Which letter has this value? Answer: K. Substitute the values: F + H = 4 + 2 = 6. K = 6, so K is the letter with this value. Always substitute the numbers for the letters first, then compare your result with the value of each letter given.

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

Q1. Work out 8 x 7.

A) 48
B) 54
C) 56
D) 58
E) 63

(Total for Question 1 is 1 mark)

Q2. Work out 144 / 12.

A) 10
B) 11
C) 12
D) 14
E) 16

(Total for Question 2 is 1 mark)

Q3. What is 3/4 of 20?

A) 12
B) 14
C) 15
D) 16
E) 18

(Total for Question 3 is 1 mark)

Q4. Round 4867 to the nearest hundred.

A) 4800
B) 4850
C) 4870
D) 4900
E) 5000

(Total for Question 4 is 1 mark)

Q5. Work out 0.6 + 0.35.

A) 0.85
B) 0.9
C) 0.95
D) 1.05
E) 1.1

(Total for Question 5 is 1 mark)

Q6. Simplify the ratio 20:35 to its simplest form.

A) 2:3
B) 4:7
C) 5:7
D) 4:5
E) 7:4

(Total for Question 6 is 1 mark)

Q7. A shop reduces an £80 coat by 15%. What is the sale price?

A) £60
B) £65
C) £68
D) £70
E) £72

(Total for Question 7 is 1 mark)

Q8. Find the next number in the sequence: 3, 7, 11, 15, ...

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

(Total for Question 8 is 1 mark)

Q9. The perimeter of a square is 36 cm. What is the length of one side?

A) 6 cm
B) 7 cm
C) 8 cm
D) 9 cm
E) 12 cm

(Total for Question 9 is 1 mark)

Q10. What is 15% of 200?

A) 15
B) 20
C) 25
D) 30
E) 35

(Total for Question 10 is 1 mark)

Q11. A train leaves at 09:45 and arrives at 11:20. How long is the journey?

A) 1h 15min
B) 1h 25min
C) 1h 35min
D) 1h 45min
E) 2h 05min

(Total for Question 11 is 1 mark)

Q12. Work out 7² - 3^2.

A) 16
B) 28
C) 34
D) 40
E) 46

(Total for Question 12 is 1 mark)

Q13. What is the lowest common multiple (LCM) of 6 and 8?

A) 12
B) 16
C) 24
D) 32
E) 48

(Total for Question 13 is 1 mark)

Q14. A recipe uses flour and sugar in the ratio 5:2. If 250 g of sugar is used, how much flour is needed?

A) 500 g
B) 575 g
C) 600 g
D) 625 g
E) 700 g

(Total for Question 14 is 1 mark)

Q15. Work out the mean of 4, 9, 5, 10, 7.

A) 6
B) 6.5
C) 7
D) 7.5
E) 8

(Total for Question 15 is 1 mark)

Q16. Two angles on a straight line are 3x degrees and 2x degrees. What is the value of x?

A) 18
B) 30
C) 36
D) 45
E) 60

(Total for Question 16 is 1 mark)

Q17. Solve: 3x + 5 = 26.

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

(Total for Question 17 is 1 mark)

Q18. A car travels 150 miles in 3 hours. What is its average speed?

A) 45 mph
B) 48 mph
C) 50 mph
D) 55 mph
E) 60 mph

(Total for Question 18 is 1 mark)

Q19. What is 2/5 as a decimal?

A) 0.2
B) 0.25
C) 0.4
D) 0.45
E) 0.5

(Total for Question 19 is 1 mark)

Q20. A bag contains 4 red, 3 blue and 5 green counters. What is the probability of picking a blue counter at random?

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

(Total for Question 20 is 1 mark)

Q21 (harder). Three numbers are in the ratio 2:3:5. If the largest number is 45, what is the sum of all three numbers?

A) 72
B) 81
C) 90
D) 99
E) 108

(Total for Question 21 is 1 mark)

Q22 (harder). The cost of 5 pens and 3 rulers is £4.60. Each ruler costs £0.40. What is the cost of one pen?

A) £0.60
B) £0.62
C) £0.65
D) £0.68
E) £0.70

(Total for Question 22 is 1 mark)

Q23 (harder). A cuboid has dimensions 4 cm, 5 cm and 6 cm. What is its volume?

A) 15 cm³
B) 60 cm³
C) 100 cm³
D) 120 cm³
E) 148 cm³

(Total for Question 23 is 1 mark)

Q24 (harder). The mean of 8 numbers is 12. A ninth number, 39, is added. What is the new mean?

A) 13
B) 14
C) 15
D) 16
E) 18

(Total for Question 24 is 1 mark)

Q25 (harder). A tank is 1/3 full of water. After 40 litres are added, it is 5/9 full. What is the capacity of the tank in litres?

A) 120
B) 150
C) 160
D) 180
E) 200

(Total for Question 25 is 1 mark)

SECTION 2: VERBAL REASONING (30 minutes, 30 questions across six types)

TYPE 1: LETTERS FOR NUMBERS - Each letter stands for a number. Substitute the given values into the calculation and work out the answer, then choose the letter whose value matches your answer, using the normal order of operations.

Q1. F = 6, G = 9, H = 15, J = 4, K = 11. Work out F + G. Which letter has this value?

A) F
B) G
C) H
D) J
E) K

(Total for Question 26 is 1 mark)

(Letters for numbers) Q2. F = 15, G = 3, H = 9, J = 11, K = 8. Work out J - G. Which letter has this value?

A) F
B) G
C) H
D) J
E) K

(Total for Question 27 is 1 mark)

(Letters for numbers) Q3. F = 3, G = 4, H = 19, J = 12, K = 7. Work out F x G. Which letter has this value?

A) F
B) G
C) H
D) J
E) K

(Total for Question 28 is 1 mark)

(Letters for numbers) Q4. F = 5, G = 9, H = 6, J = 8, K = 17. Work out H + J - F. Which letter has this value?

A) F
B) G
C) H
D) J
E) K

(Total for Question 29 is 1 mark)

(Letters for numbers - harder) Q5. F = 9, G = 11, H = 4, J = 20, K = 5. Work out (F + G) / H. Which letter has this value?

A) F
B) G
C) H
D) J
E) K

(Total for Question 30 is 1 mark)

TYPE 2: NUMBER CONNECTIONS - Each question shows two number pairs in the same style: first outside number (middle number) second outside number. The middle number is linked to the two outside numbers by a hidden rule. Work out the rule from the first pair, then apply exactly the same rule to the second pair to find the missing middle number.

Q1. 6 (16) 8
10 (?) 5

A) 15
B) 16
C) 17
D) 18
E) 19

(Total for Question 31 is 1 mark)

(Number connections) Q2. 3 (11) 5
4 (?) 6

A) 18
B) 19
C) 20
D) 22
E) 24

(Total for Question 32 is 1 mark)

(Number connections) Q3. 8 (10) 12
14 (?) 20

A) 15
B) 16
C) 17
D) 18
E) 34

(Total for Question 33 is 1 mark)

(Number connections) Q4. 7 (11) 3
9 (?) 5

A) 11
B) 12
C) 13
D) 14
E) 23

(Total for Question 34 is 1 mark)

(Number connections - harder) Q5. 10 (12) 6
15 (?) 8

A) 14
B) 15
C) 21
D) 24
E) 27

(Total for Question 35 is 1 mark)

TYPE 3: COMPLETE THE THIRD PAIR - The first two pairs of words are linked in the same way. Choose the word that correctly completes the third pair.

Q1. (SILK, SCARF) (LEATHER, SHOES) (COTTON, ?)

A) SCARF
B) SHIRT
C) BOOTS
D) BELT
E) GLOVES

(Total for Question 36 is 1 mark)

(Complete the third pair) Q2. (POTTER, POTS) (WEAVER, CLOTH) (TAILOR, ?)

A) SHOES
B) CLOTHES
C) FABRIC
D) BUTTONS
E) NEEDLES

(Total for Question 37 is 1 mark)

(Complete the third pair) Q3. (GEESE, GAGGLE) (CROWS, MURDER) (LIONS, ?)

A) HERD
B) FLOCK
C) PRIDE
D) SWARM
E) COLONY

(Total for Question 38 is 1 mark)

(Complete the third pair) Q4. (STRONG, WEAK) (LOUD, QUIET) (BRAVE, ?)

A) COURAGEOUS
B) BOLD
C) COWARDLY
D) STRONG
E) FIERCE

(Total for Question 39 is 1 mark)

(Complete the third pair) Q5. (PIANO, KEYS) (XYLOPHONE, BARS) (DRUM, ?)

A) STICKS
B) SKIN
C) BARS
D) PEDALS
E) RIM

(Total for Question 40 is 1 mark)

TYPE 4: WORD ASSOCIATION (DOUBLE MEANING) - Find the ONE word that means the same as both clues given.

Q1. Find the word that means the same as both: (1) a piece of furniture for sleeping (2) a flat area of flowers in a garden.

A) COT
B) BED
C) BUNK
D) BORDER
E) PATCH

(Total for Question 41 is 1 mark)

(Word association - double meaning) Q2. Find the word that means the same as both: (1) a moving ridge of water in the sea (2) a movement of the hand to say hello or goodbye.

A) TIDE
B) WAVE
C) RIPPLE
D) SIGNAL
E) SPLASH

(Total for Question 42 is 1 mark)

(Word association - double meaning) Q3. Find the word that means the same as both: (1) the main stem of a tree (2) the long nose of an elephant.

A) STEM
B) BRANCH
C) TRUNK
D) TUSK
E) SNOUT

(Total for Question 43 is 1 mark)

(Word association - double meaning) Q4. Find the word that means the same as both: (1) a device used for weighing things (2) one of the small overlapping plates covering a fish's body.

A) WEIGHT
B) SCALE
C) BALANCE
D) FIN
E) GILL

(Total for Question 44 is 1 mark)

(Word association - double meaning) Q5. Find the word that means the same as both: (1) a flat measuring tool used in maths (2) a person who governs a country.

A) LEADER
B) RULER
C) MONARCH
D) PROTRACTOR
E) KING

(Total for Question 45 is 1 mark)

TYPE 5: TWO ODD ONES OUT - Each question gives five words. Three of the five words share something in common; the other two do not belong with that group. Work out the shared link, then choose the option naming the two words that do NOT belong.

Q1. Here are five words:
HERRING, MACKEREL, PLAICE, DOLPHIN, WHALE.
Three of these five words share something in common. Which TWO words do NOT belong with the other three?

A) HERRING and MACKEREL
B) DOLPHIN and WHALE
C) MACKEREL and PLAICE
D) HERRING and DOLPHIN
E) HERRING and WHALE

(Total for Question 46 is 1 mark)

(Two odd ones out) Q2. Here are five words:
OAK, MAPLE, BIRCH, DAFFODIL, BLUEBELL.
Three of these five words share something in common. Which TWO words do NOT belong with the other three?

A) OAK and MAPLE
B) DAFFODIL and BLUEBELL
C) MAPLE and BIRCH
D) OAK and BLUEBELL
E) DAFFODIL and BIRCH

(Total for Question 47 is 1 mark)

(Two odd ones out) Q3. Here are five words:
TRUMPET, FLUTE, CLARINET, VIOLIN, GUITAR.
Three of these five words share something in common. Which TWO words do NOT belong with the other three?

A) TRUMPET and FLUTE
B) VIOLIN and GUITAR
C) FLUTE and CLARINET
D) TRUMPET and GUITAR
E) VIOLIN and CLARINET

(Total for Question 48 is 1 mark)

(Two odd ones out) Q4. Here are five words:
NOVEL, MAGAZINE, NEWSPAPER, DRILL, PLIERS.
Three of these five words share something in common. Which TWO words do NOT belong with the other three?

A) NOVEL and MAGAZINE
B) DRILL and PLIERS
C) MAGAZINE and NEWSPAPER
D) NOVEL and PLIERS
E) DRILL and NEWSPAPER

(Total for Question 49 is 1 mark)

(Two odd ones out - harder) Q5. Here are five words:
SURGEON, DENTIST, OPTICIAN, ARTIST, MUSICIAN.
Three of these five words share something in common. Which TWO words do NOT belong with the other three?

A) SURGEON and DENTIST
B) ARTIST and MUSICIAN
C) DENTIST and OPTICIAN
D) SURGEON and MUSICIAN
E) ARTIST and OPTICIAN

(Total for Question 50 is 1 mark)

TYPE 6: LOGIC DEDUCTION - Read the statements carefully and use logical reasoning alone to work out the answer.

Q1. All the pupils in Class 6 play a musical instrument. Freya is in Class 6. Which of these must be true?

A) Freya plays the violin
B) Freya plays a musical instrument
C) Freya is the best musician in her class
D) Everyone who plays a musical instrument is in Class 6
E) Freya does not play the violin

(Total for Question 51 is 1 mark)

(Logic deduction) Q2. Layla is faster than Noah. Noah is faster than Elif. Elif is faster than Ryan. Who is the slowest?

A) Layla
B) Noah
C) Elif
D) Ryan
E) Cannot be determined

(Total for Question 52 is 1 mark)

(Logic deduction) Q3. Three friends, Aisha, Kwame and Chidi, each have a different pet: a cat, a dog and a rabbit. Kwame does not have the cat or the rabbit. Aisha does not have the rabbit. Which pet does Chidi have?

A) Cat
B) Dog
C) Rabbit
D) Cannot be determined
E) None of these

(Total for Question 53 is 1 mark)

(Logic deduction) Q4. If today is Wednesday, what day will it be 100 days from today?

A) Thursday
B) Friday
C) Saturday
D) Sunday
E) Monday

(Total for Question 54 is 1 mark)

(Logic deduction - harder) Q5. In a race, Maya finished before Jack but after Zara. Sam finished last. Who finished first?

A) Maya
B) Jack
C) Zara
D) Sam
E) Cannot be determined

(Total for Question 55 is 1 mark)

Mark scheme · EP.T10 GL-Style Mixed Mock 4: Maths and Verbal Reasoning

Question 1

B1 C) 56 - 8 x 7 = 56 (cao)
Answer: C) 56

Question 2

B1 C) 12 - 144 / 12 = 12 (cao)
Answer: C) 12

Question 3

B1 C) 15 - 1/4 of 20 is 5, so 3/4 of 20 is 3 x 5 = 15 (cao)
Answer: C) 15

Question 4

B1 D) 4900 - the tens digit (6) is 5 or more, so round the hundreds up (cao)
Answer: D) 4900

Question 5

B1 C) 0.95 - 0.6 + 0.35 = 0.95 (cao)
Answer: C) 0.95

Question 6

B1 B) 4:7 - dividing both parts of 20:35 by their highest common factor, 5, gives 4:7 (oe)
Answer: B) 4:7

Question 7

B1 C) £68 - 15% of £80 is £12, so the sale price is £80 - £12 = £68 (cao)
Answer: C) £68

Question 8

B1 C) 19 - the sequence adds 4 each time (cao)
Answer: C) 19

Question 9

B1 D) 9 cm - a square has 4 equal sides, so 36 / 4 = 9 cm (cao)
Answer: D) 9 cm

Question 10

B1 D) 30 - 10% of 200 is 20, and 5% of 200 is 10, so 15% is 20 + 10 = 30 (cao)
Answer: D) 30

Question 11

B1 C) 1h 35min - from 09:45 to 11:45 is 2 hours, but the journey ends 25 minutes earlier, at 11:20, giving 1 hour 35 minutes (cao)
Answer: C) 1h 35min

Question 12

B1 D) 40 - 7² = 49 and 3² = 9, so 49 - 9 = 40 (cao)
Answer: D) 40

Question 13

B1 C) 24 - the smallest number that is a multiple of both 6 and 8 (cao)
Answer: C) 24

Question 14

B1 D) 625 g - 250 g of sugar is 2 parts, so 1 part = 125 g, and flour (5 parts) = 5 x 125 = 625 g (cao)
Answer: D) 625 g

Question 15

B1 C) 7 - the total is 35 and there are 5 numbers, so the mean is 35 / 5 = 7 (cao)
Answer: C) 7

Question 16

B1 C) 36 - angles on a straight line sum to 180 degrees, so 5x = 180 and x = 36 (cao)
Answer: C) 36

Question 17

B1 C) 7 - 3x = 21, so x = 7 (cao)
Answer: C) 7

Question 18

B1 C) 50 mph - average speed = distance / time = 150 / 3 = 50 mph (cao)
Answer: C) 50 mph

Question 19

B1 C) 0.4 - 2/5 = 4/10 = 0.4 (oe)
Answer: C) 0.4

Question 20

B1 C) 1/4 - total counters = 12, and blue counters = 3, so P(blue) = 3/12 = 1/4 (oe)
Answer: C) 1/4

Question 21

B1 C) 90 - the largest share (5 parts) is 45, so 1 part = 9, and the total (10 parts) = 90 (cao)
Answer: C) 90

Question 22

B1 D) £0.68 - 3 rulers cost £1.20, leaving £3.40 for 5 pens, so one pen costs £3.40 / 5 = £0.68 (cao)
Answer: D) £0.68

Question 23

B1 D) 120 cm³ - volume = length x width x height = 4 x 5 x 6 = 120 cm³ (cao)
Answer: D) 120 cm³

Question 24

B1 C) 15 - the original total is 96, plus 39 makes 135, and 135 / 9 = 15 (cao)
Answer: C) 15

Question 25

B1 D) 180 - the 40 litres added is 5/9 - 1/3 = 2/9 of the capacity, so the capacity is 40 / 2 x 9 = 180 litres (cao)
Answer: D) 180

Question 26

B1 C) H - F + G = 6 + 9 = 15, and H = 15 (cao)
Answer: C) H

Question 27

B1 E) K - J - G = 11 - 3 = 8, and K = 8 (cao)
Answer: E) K

Question 28

B1 D) J - F x G = 3 x 4 = 12, and J = 12 (cao)
Answer: D) J

Question 29

B1 B) G - H + J - F = 6 + 8 - 5 = 9, and G = 9 (cao)
Answer: B) G

Question 30

B1 E) K - (F + G) / H = (9 + 11) / 4 = 20 / 4 = 5, and K = 5 (cao)
Answer: E) K

Question 31

B1 C) 17 - the rule is add the two outside numbers, then add 2: 10 + 5 + 2 = 17 (cao)
Answer: C) 17

Question 32

B1 C) 20 - the rule is multiply the two outside numbers, then subtract 4: 4 x 6 - 4 = 20 (cao)
Answer: C) 20

Question 33

B1 C) 17 - the rule is find the average of the two outside numbers: (14 + 20) / 2 = 17 (cao)
Answer: C) 17

Question 34

B1 C) 13 - the rule is double the first outside number, then subtract the second: (2 x 9) - 5 = 13 (cao)
Answer: C) 13

Question 35

B1 C) 21 - the rule is subtract the second outside number from the first, then multiply by 3: (15 - 8) x 3 = 21 (cao)
Answer: C) 21

Question 36

B1 B) SHIRT - the link is 'material is to a common item made from it': silk to scarf, leather to shoes, cotton to shirt
Answer: B) SHIRT

Question 37

B1 B) CLOTHES - the link is 'worker makes X': a potter makes pots, a weaver makes cloth, a tailor makes clothes
Answer: B) CLOTHES

Question 38

B1 C) PRIDE - the link is 'animal is to its collective noun': geese to gaggle, crows to murder, lions to pride
Answer: C) PRIDE

Question 39

B1 C) COWARDLY - the link is 'word is to its opposite': strong to weak, loud to quiet, brave to cowardly
Answer: C) COWARDLY

Question 40

B1 B) SKIN - the link is 'instrument is to the part played to make its sound': piano to keys, xylophone to bars, drum to skin
Answer: B) SKIN

Question 41

B1 B) BED - a bed is a piece of furniture for sleeping, and a flower bed is a flat area of flowers in a garden
Answer: B) BED

Question 42

B1 B) WAVE - a wave is a moving ridge of water in the sea, and to wave is also to move your hand as a greeting
Answer: B) WAVE

Question 43

B1 C) TRUNK - the trunk of a tree is its main stem, and an elephant's trunk is its long nose
Answer: C) TRUNK

Question 44

B1 B) SCALE - a scale is a device used for weighing things, and a scale is also one of the small overlapping plates covering a fish's body
Answer: B) SCALE

Question 45

B1 B) RULER - a ruler is a flat tool used in maths to measure length, and a ruler is also a person who governs a country
Answer: B) RULER

Question 46

B1 B) DOLPHIN and WHALE - herring, mackerel and plaice are fish, whereas dolphin and whale are sea mammals
Answer: B) DOLPHIN and WHALE

Question 47

B1 B) DAFFODIL and BLUEBELL - oak, maple and birch are trees, whereas daffodil and bluebell are flowers
Answer: B) DAFFODIL and BLUEBELL

Question 48

B1 B) VIOLIN and GUITAR - trumpet, flute and clarinet are wind instruments, whereas violin and guitar are string instruments
Answer: B) VIOLIN and GUITAR

Question 49

B1 B) DRILL and PLIERS - novel, magazine and newspaper are reading materials, whereas drill and pliers are tools
Answer: B) DRILL and PLIERS

Question 50

B1 B) ARTIST and MUSICIAN - surgeon, dentist and optician are medical professionals, whereas artist and musician are creative professionals
Answer: B) ARTIST and MUSICIAN

Question 51

B1 B) Freya plays a musical instrument - applying the rule for Class 6 to Freya, who is in Class 6
Answer: B) Freya plays a musical instrument

Question 52

B1 D) Ryan - the chain Layla > Noah > Elif > Ryan puts Ryan last
Answer: D) Ryan

Question 53

B1 C) Rabbit - Kwame must have the dog, Aisha must have the cat, leaving Chidi the rabbit
Answer: C) Rabbit

Question 54

B1 B) Friday - 100 = 14 x 7 + 2, so 100 days from today is the same as 2 days from today
Answer: B) Friday

Question 55

B1 C) Zara - the full order is Zara, Maya, Jack, Sam
Answer: C) Zara

GL-Style Mixed Mock 4: Maths and Verbal Reasoning - Worksheets, Questions and Revision