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Question 11 of 18 in Number 8

Number 8

4 marks · Normal

A rectangle measures 1.5 metres by 80 centimetres.

(a)

Convert 1.5 metres to centimetres.

[1 mark]
(b)

Find the area of the rectangle in cm².

[2 marks]
(c)

Write your answer to part (b) in m².

[1 mark]

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(a) 150 cm

(b) 12000 cm²

(c) 1.2 m²

Common mistakes: Not converting all sides to the same unit before calculating area; Incorrect conversion from cm² to m²

Show mark scheme and worked solution

Marking points

B1 (a) · 1 mark · 1.5 m = 150 cm.

M1 (b) · 1 mark · Correct method for area (rectangle: length × width) using cm.

A1 (b) · 1 mark · Area = 150 cm × 80 cm = 12000 cm².

A2 (c) · 1 mark · Correct conversion to m²: 12000 cm² = 1.2 m². (follow-through)

Worked solution

(a) 1 m = 100 cm, so 1.5 m = 150 cm.

(b) Area = length × width = 150 cm × 80 cm = 12000 cm².

(c) 1 m² = 10,000 cm². 12000 cm² ÷ 10,000 = 1.2 m².

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