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 A rectangle is 7 cm long and 4 cm wide. What is its area in square centimetres?
Show worked solution
7 × 4 = 28 square cm.
2 A square has sides of 6 m. What is its area in square metres?
Show worked solution
6 × 6 = 36 square m.
3 A rectangle is 9 cm by 3 cm. What is its area in square centimetres?
Show worked solution
9 × 3 = 27 square cm.
Level 2 · Core
4 A rectangle has an area of 48 square cm and is 6 cm wide. How long is it?
Show worked solution
48 ÷ 6 = 8 cm.
5 A room is 5 m by 4 m. Carpet costs $30 per square metre. What is the total cost?
Show worked solution
Area: 5 × 4 = 20 square m. Cost: 20 × $30 = $600.
6 A square has an area of 49 square cm. How long is each side?
Show worked solution
7 × 7 = 49, so each side is 7 cm.
Level 3 · Challenge
7 Two rectangles have the same area. The first is 12 cm by 3 cm. The second is 9 cm long. How wide is it?
Show worked solution
Area: 12 × 3 = 36 square cm. For the second, 36 ÷ 9 = 4 cm wide.
8 A rectangle is 8 cm by 5 cm. Its length is doubled but its width stays the same. What is the new area in square centimetres?
Show worked solution
The new rectangle is 16 cm by 5 cm, so the area is 80 square cm — double the original 40.
9 A garden is 10 m by 6 m with a 2 m by 3 m shed standing on it. How many square metres of garden are left uncovered?
Show worked solution
Garden: 10 × 6 = 60. Shed: 2 × 3 = 6. Left: 60 − 6 = 54 square m.