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Try 12 questions across:

  • Verbal Reasoning
  • Numerical Reasoning
  • Reading Comprehension
  • Mathematics
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Verbal Reasoning

Question 1

Each code word always has the same meaning, but word order may change.

luma vek = bright garden
sori luma = garden gate
vek pado = bright river
pado neri = river path

Which code word means garden?

  1. luma
  2. vek
  3. sori
  4. pado
  5. neri
Need a hint?

Compare statements that share an English word.

Show answer
A. luma Correct answer

The first two statements share the English word garden and the code word luma. Therefore luma means garden. Checking the other overlaps gives vek = bright, sori = gate, pado = river and neri = path.

Verbal Reasoning

Question 2

Choose the pair with the same relationship as rehearsal → performance.

  1. audience → applause
  2. curtain → stage
  3. draft → final report
  4. poster → concert
  5. musician → instrument
Need a hint?

Identify what the first thing does in relation to the second.

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C. draft → final report Correct answer

A rehearsal is a practice stage before a performance. A draft is a preliminary version before a final report. The other pairs describe an audience's response, a part and its setting, an advertisement and its event, or a person and a tool.

Verbal Reasoning

Question 3

Although invited to lead the discussion, Uma was reluctant to speak first.

Here, reluctant most nearly means:

  1. unable
  2. confident
  3. impatient
  4. forbidden
  5. unwilling
Need a hint?

Distinguish what someone wants to do from what they can do.

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E. unwilling Correct answer

Reluctant means unwilling or hesitant about doing something. The sentence concerns Uma's willingness to speak first, rather than her ability or permission. Confident and impatient suggest quite different attitudes.

Numerical Reasoning

Question 4

What number comes next?

6, 13, 17, 35, 39, 79, ?

  1. 80
  2. 82
  3. 83
  4. 84
  5. 159
Need a hint?

Check whether two different operations take turns.

Show answer
C. 83 Correct answer

Two operations alternate. First multiply by 2 and add 1; then add 4: 6 × 2 + 1 = 13, 13 + 4 = 17, 17 × 2 + 1 = 35, 35 + 4 = 39, and 39 × 2 + 1 = 79. The next operation is +4, so 79 + 4 = 83.

Numerical Reasoning

Question 5

A number enters a machine. The machine adds 5, doubles the result, then subtracts 7. The final number is 31. What number entered the machine?

  1. 10
  2. 12
  3. 14
  4. 16
  5. 19
Need a hint?

Start at 31 and undo the machine's steps in reverse order.

Show answer
C. 14 Correct answer

Work backwards: 31 + 7 = 38; 38 ÷ 2 = 19; 19 − 5 = 14.

Numerical Reasoning

Question 6

Two whole numbers have a sum of 31. The larger number is 7 greater than the smaller number. What is the product of the two numbers?

  1. 168
  2. 192
  3. 216
  4. 228
  5. 238
Need a hint?

If the two numbers were equal, each would be half of 31. Adjust equally in opposite directions.

Show answer
D. 228 Correct answer

Subtract the difference from the sum: 31 − 7 = 24. Half is 12, so the two numbers are 12 and 19. Their product is 228.

The last label

The community hall's exhibition opened in an hour, and Leila still had one label to write. Most objects had come with neat cards: a brass bell, a faded concert ticket, a photograph of the old bridge. The final object was a small wooden box with a chipped lid. Its owner, Mr Tan, had written only, 'Used in the shop.'

Leila found him straightening chairs near the door. 'What did you keep in it?' she asked.

'Nothing very interesting. Bent nails.'

She glanced at the crowded display. A box of rubbish would hardly draw visitors. 'Were they special nails?'

He laughed. 'No. I saved them for young people learning to straighten metal. A good nail was too easy, and a badly bent one cost us nothing if it snapped.'

Leila took the box back to her table. She had planned to place it behind the bell. Instead, she moved it to the front and wrote, 'A place to make mistakes.' She crossed out the words, worried that they sounded as though the shop made poor work. Then she tried again: 'Learning before the real job.'

When the doors opened, a visitor picked up the label and looked into the empty box. Leila reached beneath the table for the handful of bent nails Mr Tan had fetched. For the first time that morning, she was glad an object needed more than a date.

Reading Comprehension

Question 7

Why does Leila move the wooden box to the front of the display?

Answers and explanations appear after this group.

  1. She learns that it was used to help beginners practise.
  2. She discovers that the box is older than the brass bell.
  3. Mr Tan asks her to hide the chipped lid from visitors.
  4. She needs an empty space in which to store the labels.
  5. She finds out that the bent nails were valuable antiques.
Need a hint?

Compare Leila's first reaction to the box with what she learns from Mr Tan.

Reading Comprehension

Question 8

What is Leila's main concern about her first label, 'A place to make mistakes'?

Answers and explanations appear after this group.

  1. It suggests that the nails were stored in the wrong box.
  2. It gives visitors too much information about the shop.
  3. It may imply that poor workmanship was normal in the shop.
  4. It makes the box sound more expensive than it was.
  5. It hides the fact that Mr Tan owned the box.
Need a hint?

Read the sentence immediately after Leila writes her first label.

Reading Comprehension

Question 9

What does the final sentence suggest Leila has come to appreciate?

Answers and explanations appear after this group.

  1. Visitors need a precise date before they can appreciate an object's purpose.
  2. An ordinary object matters mainly when it resembles a more impressive one.
  3. An empty object reveals its purpose more clearly than an object containing things.
  4. A useful label explains an object's appearance rather than how people used it.
  5. An object's story can matter more than a simple identifying fact.
Need a hint?

Think about what makes the box interesting by the end of the passage.

Check answers
  1. Question 7

    Why does Leila move the wooden box to the front of the display?

    A. She learns that it was used to help beginners practise. Correct answer
    B. She discovers that the box is older than the brass bell.
    C. Mr Tan asks her to hide the chipped lid from visitors.
    D. She needs an empty space in which to store the labels.
    E. She finds out that the bent nails were valuable antiques.

    A. Leila first thinks a box of rubbish will not interest visitors. Mr Tan explains that the nails let beginners learn without wasting good material. She then gives the box a prominent place. Its teaching purpose, not its age or value, changes her decision.

  2. Question 8

    What is Leila's main concern about her first label, 'A place to make mistakes'?

    A. It suggests that the nails were stored in the wrong box.
    B. It gives visitors too much information about the shop.
    C. It may imply that poor workmanship was normal in the shop. Correct answer
    D. It makes the box sound more expensive than it was.
    E. It hides the fact that Mr Tan owned the box.

    C. The passage explicitly says Leila worries that the label sounds as though the shop made poor work. The replacement makes clear that mistakes belonged to learning before a real job.

  3. Question 9

    What does the final sentence suggest Leila has come to appreciate?

    A. Visitors need a precise date before they can appreciate an object's purpose.
    B. An ordinary object matters mainly when it resembles a more impressive one.
    C. An empty object reveals its purpose more clearly than an object containing things.
    D. A useful label explains an object's appearance rather than how people used it.
    E. An object's story can matter more than a simple identifying fact. Correct answer

    E. At first Leila wants a neat identifying label. Learning why the box held bent nails gives it a meaningful story. Being glad it needs 'more than a date' shows that she now values that story, not merely a factual date.

Mathematics

Question 10

A rectangular display originally held square cards in 6 equal rows. After 8 cards were removed, 34 cards remained. How many cards were in each row originally?

  1. 4
  2. 5
  3. 6
  4. 7
  5. 8
Need a hint?

Find the total before the cards were removed, then share it equally between the rows.

Show answer
D. 7 Correct answer

Put back the removed cards first: 34 + 8 = 42. The original 42 cards were in 6 equal rows, so each row held 42 ÷ 6 = 7 cards.

Mathematics

Question 11

Talia has 36 stickers. She uses three-quarters of them on a poster, then gives her brother two-thirds of the stickers left. How many stickers does Talia have now?

  1. 3
  2. 6
  3. 9
  4. 18
  5. 27
Need a hint?

The second fraction applies only to the stickers left after making the poster.

Show answer
A. 3 Correct answer

Three-quarters of 36 is 27, leaving 36 − 27 = 9 stickers. She gives away two-thirds of 9, which is 6, so she keeps 9 − 6 = 3 stickers.

Mathematics

Question 12

A cart costs $7 to hire, plus $4 for each hour. Only whole numbers of hours can be booked. With $38, what is the greatest number of hours that can be booked?

  1. 7
  2. 8
  3. 9
  4. 11
  5. 31
Need a hint?

Set aside the fixed charge, then check the largest whole number of hours the money left can cover.

Show answer
A. 7 Correct answer

After the fixed $7 charge, $38 − $7 = $31 is available for the hourly charge. Since $31 ÷ $4 = 7.75, at most 7 whole hours can be booked. Check: 7 hours costs $35; 8 hours costs $39, which exceeds $38.