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. A ⭐ Bonus Challenge at the end is extra credit — skip it if the rest was hard work.
Level 1 · Warm-up
1 What is the area of a 7 cm by 3 cm rectangle?
Show worked solution
7 × 3 = 21 cm2.
2 A rectangle is 9 cm by 4 cm. Give its area and its perimeter.
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Area 9 × 4 = 36 cm2. Perimeter 2 × (9 + 4) = 26 cm.
3 What is the area of a square with side 8 cm, in cm2?
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64 cm2.
Level 2 · Core
4 This L-shape is an 8 by 3 rectangle with a 3 by 4 rectangle attached below its right end. What is its area?
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24 + 12 = 36.
5 A frame has an outer rectangle 10 by 8 and an inner rectangle 6 by 4. Give the outer area, the inner area and the frame area.
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10 × 8 = 80; 6 × 4 = 24; 80 − 24 = 56.
6 A garden is 12 m by 6 m. It has a vegetable patch 4 m by 3 m, and the rest is grass. What is the area of the grass, in m2?
Show worked solution
12 × 6 − 4 × 3 = 72 − 12 = 60 m2.
Level 3 · Challenge
7 Squares of side 6, 5, 4, 3, 2 and 1 are stacked in a corner and coloured alternately, black on the outside.1 The outer square has area 36.
2 The black area is 22.
3 The white area is 16.
Which statements are correct?
2 The black area is 22.
3 The white area is 16.
Which statements are correct?
Show worked solution
6 × 6 = 36 (1 ✓). 11 + 7 + 4 = 22 (2 ✓). White = 36 − 22 = 14, not 16 (3 ✗). 1 and 2.
8 A T-shape has a top bar 12 by 3 and a stem 4 by 5 below it. Give the area of the bar, the stem and the whole shape.
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12 × 3 = 36; 4 × 5 = 20; total 56.
9 A rectangle has an area of 60 cm2 and a width of 5 cm. What is its length, in cm?
Show worked solution
60 ÷ 5 = 12 cm.