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 rhombus has diagonals 8 cm and 5 cm. Find its area. (number of cm2)
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½ × 8 × 5 = 20 cm2.
2 A kite has diagonals 14 cm and 6 cm. Find its area. (number of cm2)
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½ × 14 × 6 = 42 cm2.
3 A rhombus has base 5 cm and perpendicular height 4 cm. Find its area. (number of cm2)
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5 × 4 = 20 cm2.
Level 2 · Core
4 A rhombus has diagonals 10 cm and 6 cm. Find its area. (number of cm2)
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½ × 10 × 6 = 30 cm2.
5 A kite has diagonals 12 cm and 8 cm. Find its area. (number of cm2)
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48 cm2.
6 A trapezium has parallel sides 7 cm and 11 cm and height 6 cm. Find its area. (number of cm2)
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½(18) × 6 = 54 cm2.
Level 3 · Challenge
7 A rhombus has area 48 cm2 and one diagonal 12 cm. Find the other diagonal. (cm)
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48 = 6y → y = 8 cm.
8 A kite has area 35 cm2 and one diagonal 14 cm. Find the other diagonal. (cm)
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y = 35 ÷ 7 = 5 cm.
9 A kite diagram labels HALF of one diagonal as 5 cm, and the other full diagonal as 9 cm. Find the area. (number of cm2)
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Full diagonal = 10 cm, so ½ × 10 × 9 = 45 cm2.