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 Write 5 × 5 × 5 in index form. (use ^ for the index, in the form b^n)
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There are three 5s, so it is 53, which equals 125.
2 Work out 24.
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2 × 2 × 2 × 2 = 16.
3 Work out 72.
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7 × 7 = 49.
Level 2 · Core
4 Work out 34.
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3 × 3 × 3 × 3 = 81.
5 Work out 105.
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10 × 10 × 10 × 10 × 10 = 100,000 — five zeros.
6 Write 2 × 2 × 2 × 2 × 2 × 2 in index form. (use ^ for the index, in the form b^n)
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There are six 2s, so it is 26, which equals 64.
Level 3 · Challenge
7 Work out 5 + 23.
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23 = 8, then 5 + 8 = 13. Adding first would give 73, which is far too big.
8 Which is bigger, 26 or 62? Give the larger value as a number.
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26 = 64 and 62 = 36, so the larger value is 64.
9 Work out 42 × 32.
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42 = 16 and 32 = 9, so 16 × 9 = 144.