ElevenKey free subject sampler

Maths

10 questions · suggested time 15 minutes

All free papers
Instructions

Choose one answer for each question. Use the working space. Check the separate answer pages only when finished.

  1. Arithmetic & multi-step problems

    1. Four boxes contain 24 pencils each. Nine pencils are used. How many remain?

    A87B96C105D15
  2. Arithmetic & multi-step problems

    2. A coach holds 52 people. Three coaches arrive, but 17 seats are empty altogether. How many people arrive?

    A139B121C156D173
  3. Arithmetic & multi-step problems

    3. Maya saves £8 each week for 7 weeks, then spends £19. How much remains?

    A£37B£45C£56D£75
  4. Arithmetic & multi-step problems

    4. A shop packs 144 oranges equally into 8 crates. It sells 5 full crates. How many oranges are sold?

    A18B40C72D90
  5. Arithmetic & multi-step problems

    5. A school buys 9 packs of 35 notebooks and gives away 168. How many notebooks remain?

    A147B157C315D483
  6. Fractions

    6. Which fraction is equivalent to 3/5?

    A6/8B6/10C9/20D12/25
  7. Fractions

    7. Calculate 2/3 + 1/6.

    A3/9B1/2C3/6D5/6
  8. Fractions

    8. What is 3/8 of 64?

    A8B16C32D24
  9. Fractions

    9. Calculate 5/6 − 1/4.

    A4/2B7/12C2/3D4/12
  10. Fractions

    10. A tank is 7/10 full. One fifth of the whole tank is used. What fraction remains?

    A1/2B2/5C3/10D6/10

Answers and explanations

1. A — 87

4 × 24 = 96, then 96 − 9 = 87.

Hint used in ElevenKey: Find the total in four boxes before subtracting the used pencils.

2. A — 139

3 × 52 = 156 seats. 156 − 17 = 139 people.

Hint used in ElevenKey: Work out all available seats, then remove the empty ones.

3. A — £37

7 × £8 = £56. £56 − £19 = £37.

Hint used in ElevenKey: Multiply to find everything saved before considering the spending.

4. D — 90

144 ÷ 8 = 18 oranges per crate; 18 × 5 = 90.

Hint used in ElevenKey: Find oranges per crate, then multiply by the number sold.

5. A — 147

9 × 35 = 315; 315 − 168 = 147.

Hint used in ElevenKey: Calculate the number bought before subtracting.

6. B — 6/10

3/5 × 2/2 = 6/10.

Hint used in ElevenKey: Multiply numerator and denominator by the same number.

7. D — 5/6

2/3 = 4/6, so 4/6 + 1/6 = 5/6.

Hint used in ElevenKey: Rewrite two thirds in sixths.

8. D — 24

64 ÷ 8 = 8, and 3 × 8 = 24.

Hint used in ElevenKey: First find one eighth of 64.

9. B — 7/12

5/6 = 10/12 and 1/4 = 3/12, so the difference is 7/12.

Hint used in ElevenKey: Use a common denominator of 12.

10. A — 1/2

1/5 = 2/10. Then 7/10 − 2/10 = 5/10 = 1/2.

Hint used in ElevenKey: Express one fifth in tenths before subtracting.
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