iGCSE Mathematics (0580) - C5.1 Units of measure- Exam Style Questions Paper 1- New Syllabus

Question

Complete each statement.

(a) \(0.0000047 \text{ m}^2 = \dots\dots\dots\dots\dots \text{ cm}^2\)

(b) \(8500 \text{ cm}^3 = \dots\dots\dots\dots\dots \text{ litres}\)

Most-appropriate topic codes (Cambridge IGCSE Mathematics 0580):

• Topic C5.1 Units of measure: Use metric units and convert quantities into larger or smaller units (Core)

▶️ Answer/Explanation

(a)
To convert from square metres (\(\text{m}^2\)) to square centimetres (\(\text{cm}^2\)), multiply by \(10\,000\) (since \(1 \text{ m} = 100 \text{ cm}\) and \(1 \text{ m}^2 = 100^2 \text{ cm}^2 = 10\,000 \text{ cm}^2\)).
\(0.0000047 \times 10\,000 = 0.047\).
✅ Answer: \(0.047\)

(b)
To convert from cubic centimetres (\(\text{cm}^3\)) to litres, divide by \(1000\) (since \(1 \text{ litre} = 1000 \text{ cm}^3\)).
\(8500 \div 1000 = 8.5\).
✅ Answer: \(8.5\)

Question

(a) Change 2.7 kilometres into metres.

(b) Find the number of hours in 5 days.

▶️ Answer/Explanation

Solution

(a) 2700 m (b) 120 h

(a) 1 km = 1000 m, so 2.7 km = 2.7 × 1000 = 2700 m

(b) 1 day = 24 hours, so 5 days = 5 × 24 = 120 hours

Question

(a) Change 1.2 m² into mm².

(b) The speed limit on a road is 80 km/h.
Sophie drives at a speed of 1200 m/min.

Show that Sophie drives at a speed lower than the speed limit.

▶️ Answer/Explanation

Solution

Ans:

(a) 1,200,000 mm²

(b) Sophie’s speed is 72 km/h which is less than 80 km/h

For (a): 1 m = 1000 mm, so 1 m² = 1,000,000 mm². 1.2 × 1,000,000 = 1,200,000

For (b): 1200 m/min × 60 = 72,000 m/h = 72 km/h. Since 72 < 80, she’s under limit.

iGCSE Mathematics (0580) - C5.1 Units of measure- Exam Style Questions Paper 1- New Syllabus

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