Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown.
Level 1 · Warm-up
1 Work out 34.
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3 × 3 × 3 × 3 = 81.
2 Work out √121.
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11 × 11 = 121, so 11.
3 Work out 53.
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5 × 5 × 5 = 125.
Level 2 · Core
4 Work out ∛125.
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53 = 125, so 5.
5 Between which two whole numbers does √30 lie? (write both, as 'n and m')
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25 < 30 < 36, so between 5 and 6 (about 5.48).
6 Work out (−4)2.
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(−4) × (−4) = 16. An even index gives a positive result.
Level 3 · Challenge
7 Work out 2 × 42.
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42 = 16, then 2 × 16 = 32 (not 82 = 64).
8 Work out (−2)3.
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(−2)(−2)(−2) = 4 × (−2) = −8.
9 Work out 6 + 32.
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32 = 9, then 6 + 9 = 15.