Worksheets · Foundation and Higher

Metric units, money and dimensional conversion

3 exam-style questions. Answers and the mark for each step are on the last page.

Question 1Non-calculator · 1 mark
(a) A walking route is 3.6 km long. What is its length in metres? (1)
1. 36 m
2. 360 m
3. 3600 m
4. 0.0036 m
Question 2Non-calculator · 2 marks
(a) A tap delivers 1.8 litres of water per minute. Convert this rate to cubic centimetres per second. (2)
Question 3Non-calculator · 6 marks
A fish tank is a cuboid measuring $1.2$ m by $80$ cm by $50$ cm. It is filled from a hose that delivers $4$ litres of water per minute. $1$ litre $= 1000\ \text{cm}^3$ .
(a) The tank starts empty. Work out how long it takes to fill the tank. Give your answer in hours. (4)
(b) After the tank is full, a pump removes water at $1.5$ litres per minute. Work out how long it takes to remove $\frac{1}{4}$ of the water. Give your answer in hours and minutes. (2)

Answers and marks

(a) 3600 m

(a) $30$ cm³/s

(a) $2$ hours

P1 Finding the volume in one unit: $480\,000\ \text{cm}^3$ or $0.48\ \text{m}^3$ .
P1 Converting to 480 litres.
P1 Dividing by 4 to get 120 minutes.
A1 The correct answer, $2$ hours.

(b) 1 hour 20 minutes

Metric units, money and dimensional conversion

Type your working online and see every mark you earned and lost.