CEM-Style Mixed Mock 5 - Worksheets, Questions and Revision

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11+ · CEM (DURHAM)

EP.T55 CEM-Style Mixed Mock 5

CEM (DURHAM) CEM 11+ Selective Entrance (Durham-style) · Calculators not allowed · about 50 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
CEM-STYLE MIXED MOCK 5. This pack is a timed, three-section mock in the multiple-choice style used by CEM (Centre for Evaluation and Monitoring, Durham University) 11+ papers, historically set for a number of UK grammar and independent school entrance tests. CEM papers are known for packing many short, fast-moving questions into tightly sub-timed sections, so pace and moving on quickly matter as much as accuracy. Total time allowed: 50 minutes across three sections, taken strictly in order - once a section's time is up, put your pencil down on that section and move on to the next; do not turn back. SECTION A: NUMERICAL REASONING (18 minutes, Questions 1-20) - fast-paced number, fraction, percentage, ratio, money, time and multi-step word problems. No calculator is allowed. SECTION B: VERBAL REASONING (20 minutes, Questions 21-45) - a cloze passage with 8 missing-word gaps, a comprehension passage with 10 questions, and 7 further verbal reasoning items covering synonyms, antonyms, an analogy, odd one out, a compound word, a hidden word and a multiple-meaning word. SECTION C: ENGLISH AND VOCABULARY (12 minutes, Questions 46-60) - 15 questions covering spelling, punctuation, grammar, vocabulary and figurative language. Every question across all three sections is worth 1 mark, with exactly one correct option from A) to E). There is no negative marking, so attempt every question, and use any time left at the end of a section to check your answers before moving on. Total marks available: 60.

The Repair Table

Original narrative written for Revision Library; no external source reproduced.

Amara used to think the village hall on a Sunday morning was the last place she wanted to be. While her friends were still asleep, she was carrying a box of screwdrivers and an old canvas toolbag through the side door, following her grandfather Kofi to the long trestle table at the back of the room.

Kofi had been fixing things for as long as anyone in the village could remember: clocks that had stopped ticking, toasters that refused to pop, radios that crackled instead of playing music. Every fortnight he set up a small stall at the community repair cafe, where neighbours brought whatever had broken in their homes, hoping someone could bring it back to life instead of throwing it away.

At first, Amara only watched, passing tools when asked and writing names in a battered notebook kept by the till. But one Sunday, an elderly woman arrived clutching a wooden clock that had belonged to her mother, its hands frozen at ten past three for over a year. Kofi turned the clock over gently in his hands, studying the tiny gears inside, then handed Amara a small screwdriver.

'You have steadier hands than me these days,' he said, guiding her fingers towards a loose spring. Amara's heart thudded as she worked, terrified of breaking something that meant so much to a stranger. When the second hand finally twitched and began to move, the woman's eyes filled with tears, and she thanked them both as though they had given her back a piece of her mother.

Walking home that afternoon, Amara realised the repair cafe was not really about broken toasters or slow clocks. It was about neighbours trusting each other with the things they treasured most, and about a grandfather quietly teaching his granddaughter that patience and careful hands could mean more than any new gadget from a shop.

1
SECTION A: NUMERICAL REASONING (18 minutes, no calculator allowed). Answer questions 1 to 20, each worth 1 mark. Work quickly and move on if you get stuck.

Question 1: A minibus has 6 rows of seats, with 7 seats in each row. How many seats does the minibus have in total?
  • A) 36
  • B) 40
  • C) 42
  • D) 48
  • E) 49
(Total for Question 1 is 1 mark)
2
Q2. Look at this number sequence: 4, 10, 16, 22, __. What number is missing?
  • A) 26
  • B) 27
  • C) 28
  • D) 29
  • E) 34
(Total for Question 2 is 1 mark)
3
Q3. Tomasz buys a notebook for £4.25 and a pen for £1.65. He pays with a £10 note. How much change does he receive?
  • A) £3.90
  • B) £4.00
  • C) £4.10
  • D) £4.20
  • E) £5.10
(Total for Question 3 is 1 mark)
4
Q4. What is 3/5 of 45?
  • A) 9
  • B) 18
  • C) 25
  • D) 27
  • E) 36
(Total for Question 4 is 1 mark)
5
Q5. A jacket costs £85. In a sale it is reduced by 20%. What is the sale price?
  • A) £17
  • B) £60
  • C) £65
  • D) £68
  • E) £70
(Total for Question 5 is 1 mark)
6
Q6. Leon and Priya share £120 in the ratio 7:5. How much does Priya receive?
  • A) £40
  • B) £50
  • C) £60
  • D) £70
  • E) £100
(Total for Question 6 is 1 mark)
7
Q7. If 4x - 3 = 33, what is the value of x?
  • A) 7
  • B) 8
  • C) 9
  • D) 10
  • E) 36
(Total for Question 7 is 1 mark)
8
Q8. A field is 14 m long and 9 m wide. What is its area?
  • A) 23 m2
  • B) 108 m2
  • C) 117 m2
  • D) 126 m2
  • E) 140 m2
(Total for Question 8 is 1 mark)
9
Q9. A photo measures 20 cm by 15 cm. It is mounted on card with a border 5 cm wide all around. What is the area of the card border only (the card area minus the photo area)?
  • A) 150 cm2
  • B) 300 cm2
  • C) 350 cm2
  • D) 450 cm2
  • E) 750 cm2
(Total for Question 9 is 1 mark)
10
Q10. A train departs at 09:35 and arrives at 11:10. How long is the journey?
  • A) 1 hour 15 minutes
  • B) 1 hour 25 minutes
  • C) 1 hour 30 minutes
  • D) 1 hour 35 minutes
  • E) 1 hour 45 minutes
(Total for Question 10 is 1 mark)
11
Q11. Five pupils scored the following marks in a spelling test out of 10: 7, 9, 6, 8, 10. What is the mean mark?
  • A) 6
  • B) 7
  • C) 8
  • D) 10
  • E) 40
(Total for Question 11 is 1 mark)
12
Q12. A cyclist rides 21 km in 1 hour 24 minutes at a constant pace. What is her speed in km/h?
  • A) 12 km/h
  • B) 14 km/h
  • C) 15 km/h
  • D) 17.5 km/h
  • E) 25.2 km/h
(Total for Question 12 is 1 mark)
13
Q13. What is 6,847 rounded to the nearest hundred?
  • A) 6,000
  • B) 6,800
  • C) 6,850
  • D) 6,900
  • E) 7,000
(Total for Question 13 is 1 mark)
14
Q14. What is the highest common factor of 18 and 24?
  • A) 2
  • B) 3
  • C) 6
  • D) 9
  • E) 72
(Total for Question 14 is 1 mark)
15
Q15. In 2025, a school library had 240 members. In 2026 the membership increased by 15%. How many members did it have in 2026?
  • A) 36
  • B) 204
  • C) 254
  • D) 264
  • E) 276
(Total for Question 15 is 1 mark)
16
Q16. Look at this number sequence: 2, 6, 18, 54, __. What is the next number, given that each term is found by multiplying the previous term by 3?
  • A) 108
  • B) 150
  • C) 156
  • D) 162
  • E) 486
(Total for Question 16 is 1 mark)
17
Q17 (harder). A recipe for 4 people needs 2/5 of a cup of cream. How much cream is needed for 10 people, if the amount of cream is directly proportional to the number of people?
  • A) 3/4 cup
  • B) 4/5 cup
  • C) 1 cup
  • D) 1 1/4 cups
  • E) 1 1/2 cups
(Total for Question 17 is 1 mark)
18
Q18 (harder). A coach travels at an average speed of 48 km/h for 2 hours 45 minutes. How far does it travel?
  • A) 96 km
  • B) 120 km
  • C) 126 km
  • D) 132 km
  • E) 144 km
(Total for Question 18 is 1 mark)
19
Q19 (harder). In a school of 350 pupils, 3/7 are in Key Stage 2 and the rest are in Key Stage 1. 30% of the Key Stage 1 pupils walk to school. How many Key Stage 1 pupils walk to school?
  • A) 45
  • B) 50
  • C) 60
  • D) 70
  • E) 90
(Total for Question 19 is 1 mark)
20
Q20 (hardest, final question). A shop sells juice in two multipacks: Pack P has 6 cartons for £4.50, and Pack Q has 10 cartons for £6.50. Which pack offers better value per carton, and what is the price per carton for that pack?
  • A) Pack P, £0.75
  • B) Pack P, £0.65
  • C) Pack Q, £0.75
  • D) Pack Q, £0.70
  • E) Pack Q, £0.65
(Total for Question 20 is 1 mark)
21
SECTION B: VERBAL REASONING (20 minutes). This section has three parts: a cloze passage (questions 21-28), a comprehension passage (questions 29-38), and further verbal reasoning items (questions 39-45). Read the cloze passage below once, then choose the best word to fill gap (21) from the options given. Each gap has a different correct word, and only one option makes complete sense in its gap when you read the passage carefully.

CLOZE PASSAGE: The Winter Coat Drive

Every January, Oakfield Primary School runs a coat drive to (21)_______ warm clothing for families who need extra support during winter. This year, the drive was organised by Mr Adeyemi, who (22)_______ each class to bring in at least one clean, gently used coat. On the collection morning, the entrance hall was (23)_______ with cardboard boxes stacked along every wall, and news of the growing pile (24)_______ quickly around the playground. Volunteers arrived early on Saturday to (25)_______ the coats by size, sorting them into neat piles ready for delivery. By the afternoon, the team had finished and began to (26)_______ everything into the minibus waiting outside. In total, the drive had (27)_______ more than two hundred coats, easily overtaking the total Mr Adeyemi had (28)_______ before the half-term holiday.

Question 21: which word best completes gap (21)?
  • A) lose
  • B) sell
  • C) collect
  • D) borrow
  • E) waste
(Total for Question 21 is 1 mark)
22
Question 22: using the same cloze passage above ('The Winter Coat Drive'), which word best completes gap (22)?
  • A) forbade
  • B) ignored
  • C) blamed
  • D) encouraged
  • E) forgot
(Total for Question 22 is 1 mark)
23
Question 23: using the same cloze passage above ('The Winter Coat Drive'), which word best completes gap (23)?
  • A) filled
  • B) emptied
  • C) locked
  • D) painted
  • E) cleaned
(Total for Question 23 is 1 mark)
24
Question 24: using the same cloze passage above ('The Winter Coat Drive'), which word best completes gap (24)?
  • A) vanished
  • B) stopped
  • C) spread
  • D) froze
  • E) collapsed
(Total for Question 24 is 1 mark)
25
Question 25: using the same cloze passage above ('The Winter Coat Drive'), which word best completes gap (25)?
  • A) hide
  • B) sort
  • C) sell
  • D) avoid
  • E) criticise
(Total for Question 25 is 1 mark)
26
Question 26: using the same cloze passage above ('The Winter Coat Drive'), which word best completes gap (26)?
  • A) forget
  • B) hide
  • C) load
  • D) spend
  • E) multiply
(Total for Question 26 is 1 mark)
27
Question 27: using the same cloze passage above ('The Winter Coat Drive'), which word best completes gap (27)?
  • A) lost
  • B) wasted
  • C) halved
  • D) gathered
  • E) borrowed
(Total for Question 27 is 1 mark)
28
Question 28: using the same cloze passage above ('The Winter Coat Drive'), which word best completes gap (28)?
  • A) doubled
  • B) missed
  • C) set
  • D) copied
  • E) ignored
(Total for Question 28 is 1 mark)
29
Read the source text above ('The Repair Table') once carefully, then answer questions 29 to 38, each worth 1 mark.

Question 29: What is this passage mainly about?
  • A) A woman who loses her mother's clock forever
  • B) A grandfather who sells antique clocks for a living
  • C) A school project about recycling old toasters
  • D) A girl coming to understand the value of patience and care through helping her grandfather repair things
  • E) A village fundraising event to buy new tools
(Total for Question 29 is 1 mark)
30
Question 30: According to the passage, how often did Kofi run his stall at the repair cafe?
  • A) Every day
  • B) Every fortnight
  • C) Once a year
  • D) Every weekday evening
  • E) Only in winter
(Total for Question 30 is 1 mark)
31
Question 31 (vocabulary in context): In the passage, the word 'clutching' most nearly means
  • A) throwing away
  • B) holding tightly
  • C) forgetting about
  • D) repairing carefully
  • E) admiring from a distance
(Total for Question 31 is 1 mark)
32
Question 32: According to the passage, for how long had the clock's hands been frozen at ten past three?
  • A) A single day
  • B) A few hours
  • C) Over a year
  • D) Ten years
  • E) Since Amara was born
(Total for Question 32 is 1 mark)
33
Question 33 (inference): Why did Amara feel nervous while fixing the clock?
  • A) Because she disliked her grandfather's advice
  • B) Because she was worried about breaking something that meant so much to the woman
  • C) Because the hall was too crowded
  • D) Because she had never held a screwdriver before
  • E) Because her grandfather was cross with her
(Total for Question 33 is 1 mark)
34
Question 34 (vocabulary in context): In the phrase 'the things they treasured most', what does 'treasured' suggest about these items?
  • A) That the items were expensive to buy new
  • B) That the items were valued highly and considered precious
  • C) That the items were broken beyond repair
  • D) That the items belonged to Kofi alone
  • E) That the items were only kept for their appearance
(Total for Question 34 is 1 mark)
35
Question 35 (inference): What can be inferred about how Kofi feels about Amara's abilities?
  • A) He doubts she can be trusted with delicate repairs
  • B) He believes she is not yet ready to help at all
  • C) He trusts her steady hands and is willing to let her help with delicate work
  • D) He wishes she would find a different hobby
  • E) He is jealous of how quickly she learns
(Total for Question 35 is 1 mark)
36
Question 36: What did Kofi do immediately after examining the clock's gears?
  • A) He sent the woman away
  • B) He handed Amara a small screwdriver
  • C) He wrote her name in the notebook
  • D) He closed the stall for the day
  • E) He asked for payment
(Total for Question 36 is 1 mark)
37
Question 37 (inference): What can be inferred about the elderly woman's feelings when the clock started working again?
  • A) She felt disappointed the repair had taken so long
  • B) She felt moved, as though she had been given back a piece of her mother
  • C) She felt embarrassed to have asked for help
  • D) She felt annoyed that Amara had helped instead of Kofi
  • E) She felt indifferent about the clock working again
(Total for Question 37 is 1 mark)
38
Question 38: What is the writer's main purpose in this passage?
  • A) To explain how to repair a broken clock
  • B) To warn readers about the dangers of using tools
  • C) To list the items commonly repaired at village halls
  • D) To criticise Amara for being nervous
  • E) To show how a shared skill can pass patience and care from one generation to the next
(Total for Question 38 is 1 mark)
39
Question 39 (further verbal reasoning, synonym). Which word is closest in meaning to VIGILANT?
  • A) careless
  • B) watchful
  • C) sleepy
  • D) forgetful
  • E) friendly
(Total for Question 39 is 1 mark)
40
Question 40 (antonym). Which word means the opposite of GENUINE?
  • A) authentic
  • B) sincere
  • C) fake
  • D) honest
  • E) warm
(Total for Question 40 is 1 mark)
41
Question 41 (analogy). PAINTER is to BRUSH as CARPENTER is to ____?
  • A) wood
  • B) nail
  • C) saw
  • D) house
  • E) workshop
(Total for Question 41 is 1 mark)
42
Question 42 (odd one out). Which word does not belong with the others?
  • A) bellow
  • B) shriek
  • C) murmur
  • D) roar
  • E) yell
(Total for Question 42 is 1 mark)
43
Question 43 (compound word). Which of these words cannot be joined with RAIN to make a real English word?
  • A) bow
  • B) coat
  • C) fall
  • D) forest
  • E) mark
(Total for Question 43 is 1 mark)
44
Question 44 (hidden word). A word is hidden across the join between two words in the sentence below. Find the hidden word.
'Her paintings show far more artistic flair than mine.'
  • A) ear
  • B) art
  • C) more
  • D) mine
  • E) flair
(Total for Question 44 is 1 mark)
45
Question 45 (multiple-meaning word, hardest, final question of this section). Which meaning of the word 'coach' is used in this sentence: 'The team's coach called an early team talk before the match.'?
  • A) a large vehicle for long journeys
  • B) a person who trains a sports team
  • C) a train carriage
  • D) to give private lessons
  • E) to persuade someone gently
(Total for Question 45 is 1 mark)
46
SECTION C: ENGLISH AND VOCABULARY (12 minutes). Answer questions 46 to 60, each worth 1 mark.

Question 46 (synonym). Which word is closest in meaning to DILIGENT?
  • A) lazy
  • B) hardworking
  • C) careless
  • D) forgetful
  • E) noisy
(Total for Question 46 is 1 mark)
47
Question 47 (antonym). Which word means the opposite of CONCEAL?
  • A) hide
  • B) reveal
  • C) protect
  • D) wrap
  • E) collect
(Total for Question 47 is 1 mark)
48
Question 48 (spelling). Which word is spelled correctly?
  • A) enviroment
  • B) accross
  • C) beginning
  • D) untill
  • E) wich
(Total for Question 48 is 1 mark)
49
Question 49 (definition). What does the word CONCISE mean?
  • A) very long-winded
  • B) brief and clearly expressed
  • C) written in secret code
  • D) full of mistakes
  • E) extremely rare
(Total for Question 49 is 1 mark)
50
Question 50 (homophones). Choose the word that correctly completes this sentence: 'The dog buried ____ bone in the garden.'
  • A) it's
  • B) its
  • C) its'
  • D) it is
  • E) isnt
(Total for Question 50 is 1 mark)
51
Question 51 (grammar). Which sentence is grammatically correct?
  • A) There were less pupils in the hall today.
  • B) There was fewer pupils in the hall today.
  • C) There were fewer pupils in the hall today.
  • D) There was less pupils in the hall today.
  • E) There were less pupil in the hall today.
(Total for Question 51 is 1 mark)
52
Question 52 (figurative language). Which sentence contains a metaphor?
  • A) The classroom was a zoo during the fire drill.
  • B) The wind whispered through the branches.
  • C) Her eyes sparkled like diamonds.
  • D) The thunder roared angrily.
  • E) The playground was empty.
(Total for Question 52 is 1 mark)
53
Question 53 (collective nouns). What is the correct collective noun for a group of crows?
  • A) a pride
  • B) a murder
  • C) a herd
  • D) a shoal
  • E) a litter
(Total for Question 53 is 1 mark)
54
Question 54 (word structure). Which word means 'not able to be seen'?
  • A) visible
  • B) invisible
  • C) visibly
  • D) visibility
  • E) overvisible
(Total for Question 54 is 1 mark)
55
Question 55 (word class). In the sentence 'The exhausted athlete finally crossed the finish line,' which word is an adjective?
  • A) exhausted
  • B) athlete
  • C) finally
  • D) crossed
  • E) line
(Total for Question 55 is 1 mark)
56
Question 56 (idiom). What does the idiom 'to cost an arm and a leg' mean?
  • A) to be very expensive
  • B) to hurt yourself
  • C) to work hard
  • D) to travel far
  • E) to lose a competition
(Total for Question 56 is 1 mark)
57
Question 57 (punctuation). Which version is punctuated correctly?
  • A) Haven't you finished your homework yet?
  • B) Havent you finished your homework yet?
  • C) Haven't you finished your homework yet.
  • D) Have'nt you finished your homework yet?
  • E) Havent you finished your homework, yet?
(Total for Question 57 is 1 mark)
58
Question 58 (vocabulary in context). Which word is closest in meaning to RETICENT in the sentence: 'The witness remained reticent when asked about the accident.'?
  • A) eager to talk
  • B) unwilling to talk
  • C) confused
  • D) angry
  • E) forgetful
(Total for Question 58 is 1 mark)
59
Question 59 (antonym in context). Which word means the opposite of TEMPORARY in the sentence: 'The scaffolding around the old tower was only meant to be a temporary structure.'?
  • A) permanent
  • B) sturdy
  • C) tall
  • D) rusty
  • E) hidden
(Total for Question 59 is 1 mark)
60
Question 60 (word structure, hardest, final question). The Latin/Greek root 'phon' relates most closely to which of the following?
  • A) sound
  • B) light
  • C) water
  • D) earth
  • E) time
(Total for Question 60 is 1 mark)
Mark scheme · EP.T55 CEM-Style Mixed Mock 5

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50

Question 51

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60