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 A trapezium has parallel sides 4 cm and 8 cm and a height of 3 cm. Find its area. (number of cm2)
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½(4 + 8) × 3 = 6 × 3 = 18 cm2.
2 A rhombus has diagonals 8 cm and 6 cm. Find its area. (number of cm2)
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½ × 8 × 6 = 24 cm2.
3 A kite has diagonals 10 cm and 7 cm. Find its area. (number of cm2)
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½ × 10 × 7 = 35 cm2.
Level 2 · Core
4 A trapezium has parallel sides 5 cm and 9 cm and a height of 6 cm. Find its area. (number of cm2)
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½(14) × 6 = 7 × 6 = 42 cm2.
5 A kite has diagonals 12 cm and 5 cm. Find its area. (number of cm2)
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½ × 12 × 5 = 30 cm2.
6 A trapezium has parallel sides 8 cm and 12 cm and a height of 5 cm. Find its area. (number of cm2)
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½(20) × 5 = 10 × 5 = 50 cm2.
Level 3 · Challenge
7 A trapezium has an area of 40 cm2 and parallel sides of 6 cm and 10 cm. Find its height. (cm)
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40 = 8h, so h = 5 cm. Check: ½(16) × 5 = 40 ✓
8 A rhombus has an area of 36 cm2 and one diagonal of 9 cm. Find the other diagonal. (cm)
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36 = 4.5y, so y = 8 cm. Check: ½ × 9 × 8 = 36 ✓
9 A kite has an area of 30 cm2 and one diagonal of 12 cm. Find the other diagonal. (cm)
Show worked solution
30 ÷ 6 = 5 cm.