0580/12 Oct/Nov 2022, Question 14: Using a Calculator

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 3 marks

The question, in short

Evaluate three separate numerical expressions: a power of 1.2, a product of a mixed number and a fraction, and a trigonometric expression involving cos 30°.

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Part (a) · 1 mark

Work out 2000 × 1.2³.

12000 × 1.728 = 3456

Answer3456

Part (b) · 1 mark

Work out 2 1/8 × 6/17.

12 1/8 = 17/8
217/8 × 6/17 = 6/8 = 3/4 = 0.75

Answer0.75 or 3/4

Part (c) · 1 mark

Work out (4.5(cos 30°))/√3 − 2.

14.5 × cos 30° ÷ √3 = 4.5 × (√3/2) ÷ √3 = 2.25
22.25 − 2 = 0.25

Answer0.25 or 1/4

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