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 Find the area of a rectangle 8 cm by 5 cm. (number of cm2)
Show worked solution
8 × 5 = 40 cm2.
2 Find the area of a square with side 7 cm. (number of cm2)
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7 × 7 = 49 cm2.
3 Find the area of a rectangle 12 cm by 3 cm. (number of cm2)
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12 × 3 = 36 cm2.
Level 2 · Core
4 Find the area of a triangle with base 8 cm and perpendicular height 6 cm. (number of cm2)
Show worked solution
½ × 8 × 6 = 24 cm2.
5 Find the area of a triangle with base 10 cm and perpendicular height 7 cm. (number of cm2)
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½ × 10 × 7 = 35 cm2.
6 Find the area of a rectangle 9 cm by 6 cm. (number of cm2)
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9 × 6 = 54 cm2.
Level 3 · Challenge
7 A shape is a rectangle 10 cm wide and 4 cm tall with a triangle sitting on top of it. The triangle has a base of 10 cm and a perpendicular height of 3 cm. Find the total area. (number of cm2)
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Rectangle 10 × 4 = 40, triangle ½ × 10 × 3 = 15, total 55 cm2.
8 A triangle has an area of 24 cm2 and a base of 8 cm. Find its perpendicular height. (cm)
Show worked solution
24 = 4h, so h = 6 cm. Check: ½ × 8 × 6 = 24 ✓
9 A rectangle has an area of 56 cm2 and a width of 7 cm. Find its length. (cm)
Show worked solution
56 ÷ 7 = 8 cm.