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 5 units long and 3 units wide. What is its area in square units?
Show worked solution
5 × 3 = 15 square units.
2 What is the perimeter of a square with sides of 6 cm?
Show worked solution
4 × 6 = 24 cm.
3 A rectangle is 4 cm by 2 cm. What is its perimeter in centimetres?
Show worked solution
4 + 2 + 4 + 2 = 12 cm.
Level 2 · Core
4 A rectangle has an area of 20 square units and is 4 units wide. How many units long is it?
Show worked solution
20 ÷ 4 = 5 units.
5 A square has a perimeter of 28 cm. How long is each side?
Show worked solution
28 ÷ 4 = 7 cm.
6 Which has the bigger area: a 3 × 8 rectangle or a 5 × 5 square?
Show worked solution
3 × 8 = 24 and 5 × 5 = 25, so the 5 × 5 square has the bigger area — even though its perimeter is smaller.
Level 3 · Challenge
7 A rectangle has a perimeter of 18 cm and one side is 4 cm. What is its area in square centimetres?
Show worked solution
The two 4 cm sides use 8 cm, leaving 10 cm for the other two, so each is 5 cm. Area = 4 × 5 = 20 square cm.
8 A garden is 7 m by 3 m and fencing costs $10 per metre. What is the total cost of fencing it?
Show worked solution
Perimeter: 7 + 3 + 7 + 3 = 20 m. Cost: 20 × $10 = $200.
9 Two rectangles have the same area. One is 4 units by 6 units. The other is 3 units wide. How many units long is it?
Show worked solution
The area is 4 × 6 = 24. For the second, 24 ÷ 3 = 8 units long.
⭐ Bonus Challenge · only if the rest felt easy
10 A rectangle has a perimeter of 18 cm. One of its sides is 4 cm. How long is the side next to it?
Show worked solution
The two 4 cm sides use 8 cm, leaving 18 − 8 = 10 cm for the other two sides. They are equal, so each is 10 ÷ 2 = 5 cm.