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 Two rectangles have areas 24 and 15 square units and together make a shape. Total area?
Show worked solution
24 + 15 = 39 square units.
2 A 10 × 10 square has a 3 × 4 rectangle cut out. Remaining area, in square units?
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100 − 12 = 88 square units.
3 Do two semicircles of the same radius make one whole circle?
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Yes — combine them into a single πr2 calculation.
Level 2 · Core
4 An L-shape: top 12, right 4, step in 7, down 6, bottom ?, left 10. Find the bottom length.
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12 − 7 = 5.
5 A shape splits into a 9 × 4 rectangle and a triangle of base 9 and height 6. Total area, in square units?
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36 + 27 = 63 square units.
6 A 20 × 10 rectangle has a semicircle of radius 5 on each short end. Total area to 1 dp? (π ≈ 3.142)
Show worked solution
200 + π(25) = 200 + 78.6 = 278.6 square units.
Level 3 · Challenge
7 A 16 cm square has a circle of diameter 16 cm cut out. Shaded corners to 1 dp, in cm2? (π ≈ 3.142)
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256 − π(64) = 256 − 201.1 = 54.9 cm2.
8 A garden is a 15 m × 8 m rectangle with a triangular flowerbed (base 8 m, height 5 m) removed. Lawn area in m2?
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120 − ½(8)(5) = 120 − 20 = 100 m2.
9 An L-shape has outer dimensions 11 by 9, with a 6 by 5 rectangle removed from one corner. Area in square units?
Show worked solution
99 − 30 = 69 square units.