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 Complete the triad: 3, 4, ?
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5.
2 Complete the triad: 5, 12, ?
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13.
3 Complete the triad: 8, 15, ?
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17.
Level 2 · Core
4 Legs are 30 and 40. Find the hypotenuse.
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50.
5 Legs are 15 and 20. Find the hypotenuse.
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25.
6 A builder marks 6 m and 8 m from a corner. What should the diagonal measure for a square corner? (m)
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10 m.
Level 3 · Challenge
7 A yard is 12 m by 9 m. Find the diagonal. (m)
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15 m.
8 A 12 m by 9 m yard is fenced right around AND has a diagonal path. What total length is needed? (m)
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42 + 15 = 57 m.
9 That 57 m costs $18 per metre. What is the total cost? (dollars)
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57 × 18 = $1026.