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 √36.
Show worked solution
6 × 6 = 36, so 6.
2 Work out √100.
Show worked solution
10 × 10 = 100, so 10.
3 Work out ∛8.
Show worked solution
2 × 2 × 2 = 8, so 2.
Level 2 · Core
4 Work out √144.
Show worked solution
12 × 12 = 144, so 12.
5 Work out ∛125.
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5 × 5 × 5 = 125, so 5.
6 A square has an area of 49 square metres. How long is each side? (give the length in metres)
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√49 = 7, so each side is 7 metres.
Level 3 · Challenge
7 Work out ∛216.
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6 × 6 × 6 = 216, so 6.
8 Work out √64 − ∛64.
Show worked solution
√64 = 8 and ∛64 = 4, so 8 − 4 = 4.
9 A cube-shaped box has a volume of 1000 cubic centimetres. How long is each edge? (give the length in centimetres)
Show worked solution
∛1000 = 10, so each edge is 10 cm.