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 parallelogram with base 10 cm and perpendicular height 4 cm. (number of cm2)
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10 × 4 = 40 cm2.
2 Find the area of a parallelogram with base 7 cm and perpendicular height 6 cm. (number of cm2)
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7 × 6 = 42 cm2.
3 Find the area of a parallelogram with base 6 cm and perpendicular height 9 cm. (number of cm2)
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6 × 9 = 54 cm2.
Level 2 · Core
4 Find the area of a parallelogram with base 12 cm and perpendicular height 5 cm. (number of cm2)
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12 × 5 = 60 cm2.
5 A parallelogram has a base of 9 cm, a slanted side of 6 cm and a perpendicular height of 4 cm. Find its area. (number of cm2)
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9 × 4 = 36 cm2. The 6 cm slanted side is not used.
6 Find the area of a parallelogram with base 8 cm and perpendicular height 3 cm. (number of cm2)
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8 × 3 = 24 cm2.
Level 3 · Challenge
7 A parallelogram has an area of 45 cm2 and a base of 9 cm. Find its perpendicular height. (cm)
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45 ÷ 9 = 5 cm. Check: 9 × 5 = 45 ✓
8 A parallelogram has an area of 72 cm2 and a perpendicular height of 8 cm. Find its base. (cm)
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72 ÷ 8 = 9 cm.
9 A parallelogram has sides of 15 cm and 10 cm. The perpendicular height to the 15 cm side is 8 cm. Find the perpendicular height to the 10 cm side. (cm)
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Area = 15 × 8 = 120 cm2, so the other height is 120 ÷ 10 = 12 cm.