IGCSE Mathematics: Units of Measure Test Questions
Units of Measure Test Questions #
IGCSE Mathematics – Mensuration (C5.1)
Instructions:
- Section A: Multiple Choice – Choose the correct answer (A, B, C, or D)
- Section B: Free Response – Show all your working clearly
- Remember to include units in your answers
SECTION A: MULTIPLE CHOICE [10 marks] #
1. Convert 45 cm to millimetres.
A. 4.5 mm
B. 450 mm
C. 4500 mm
D. 0.45 mm
2. How many metres are there in 2.5 km?
A. 25 m
B. 250 m
C. 2500 m
D. 25000 m
3. A parcel weighs 3.2 kg. What is its mass in grams?
A. 3200 g
B. 320 g
C. 32 g
D. 0.0032 g
4. When converting $\text{m}^2$ to $\text{cm}^2$, we multiply by 10000 instead of 100 because:
A. There are 10000 centimetres in a metre
B. Area is always larger than length
C. We need to add two zeros for area
D. Area involves two dimensions, so we must square the conversion factor ($100 \times 100$)
5. Convert $3 \text{ m}^2$ to $\text{cm}^2$.
A. 300 cm²
B. 30000 cm²
C. 3000 cm²
D. 300000 cm²
6. $1 \text{ m}^3 = 1000000 \text{ cm}^3$ because:
A. 1 m = 1000000 cm
B. Volume is measured in millions
C. Volume involves three dimensions, so we cube the conversion factor ($100 \times 100 \times 100$)
D. We multiply the conversion factor by 3
7. Convert $5 \text{ cm}^3$ to $\text{mm}^3$.
A. 5000 mm³
B. 500 mm³
C. 50 mm³
D. 0.005 mm³
8. How many millilitres are there in 0.75 litres?
A. 7.5 ml
B. 75 ml
C. 7500 ml
D. 750 ml
9. A container has a volume of $8000 \text{ cm}^3$. What is its capacity in litres?
A. 80 litres
B. 8 litres
C. 0.8 litres
D. 800 litres
10. A water tank has a volume of $4 \text{ m}^3$. How many litres of water can it hold?
A. 4 litres
B. 400 litres
C. 4000 litres
D. 40 litres
SECTION B: FREE RESPONSE [20 marks] #
1. [2]
Convert 6.8 metres to centimetres. Show your working.
2. [2]
A road is 3.5 km long. What is the length of the road in metres?
3. [2]
A bag of flour weighs 1500 g. Express this mass in kilograms.
4. [2]
A rectangular garden has an area of $4.5 \text{ m}^2$. Convert this area to $\text{cm}^2$.
5. [2]
A piece of card has an area of $7200 \text{ cm}^2$. What is its area in $\text{m}^2$?
6. [2]
A small box has a volume of $0.002 \text{ m}^3$. Convert this volume to $\text{cm}^3$.
7. [2]
A bottle contains 2.4 litres of juice. How many millilitres is this?
8. [2]
A fish tank has a volume of $36000 \text{ cm}^3$. How many litres of water can it hold?
9. [2]
A swimming pool has a volume of $75 \text{ m}^3$. What is the capacity of the pool in litres?
10. [2]
A cube has sides of length 50 cm.
- Calculate the volume of the cube in $\text{cm}^3$.
- Convert your answer to litres.
