IGCSE Math RevisionQuestion 1
Change
(a) \(3.4\) km to metres
(b) \(750\) g to kilograms.
Show the worked answer
- (a) \(1\) km \(= 1000\) m: \(3.4 \times 1000 = 3400\) m
- (b) \(1\) kg \(= 1000\) g: \(750 \div 1000 = 0.75\) kg
Answer: (a) \(3400\) m (b) \(0.75\) kg
Cambridge IGCSE Maths (0580) · Topic 5: Mensuration · 5.1
Cambridge IGCSE Maths 0580 Units of Measure Questions
Units of Measure questions with worked answers for Cambridge IGCSE Mathematics (0580). Each question says whether it is Core or Extended and whether it is for a calculator or non-calculator paper. Try each one before you open the answer.
- 9 questions
- 9 Core
- 6 non-calculator
- Free, no sign-in
What the syllabus asks
- 5.1 Units of measure Core
Metric units of mass, length, area, volume and capacity; convert between larger and smaller units.
Summarised in our own words: check the exact wording in the official 0580 syllabus.
Units of Measure questions: Core
For everyone: Core students (Papers 1 and 3) and Extended students (Papers 2 and 4).
Question 2
Change
(a) \(2.5\) litres to millilitres
(b) \(450\) cm³ to litres.
Show the worked answer
- (a) \(1\) litre \(= 1000\) ml: \(2500\) ml
- (b) \(1\) litre \(= 1000\) cm³: \(450 \div 1000 = 0.45\) litres
Answer: (a) \(2500\) ml (b) \(0.45\) litres
Question 3
Convert \(4.2\text{ m}^2\) to \(\text{cm}^2\).
Show the answer and mark scheme
- M1 4.2 × 100 × 100
- A1 42 000 cm²
Answer: \(42\,000\text{ cm}^2\)
Question 4
Change \(3\) m² to cm².
Show the worked answer
- \(1\) m \(= 100\) cm, so \(1\) m² \(= 100 \times 100 = 10\,000\) cm².
- \(3 \times 10\,000 = 30\,000\) cm²
Answer: \(30\,000\) cm²
Question 5
Change \(4500\) mm² to cm².
Show the worked answer
- \(1\) cm² \(= 10 \times 10 = 100\) mm².
- \(4500 \div 100 = 45\) cm²
Answer: \(45\) cm²
Question 6
Change \(2.4\) m³ to cm³.
Show the worked answer
- \(1\) m³ \(= 100 \times 100 \times 100 = 1\,000\,000\) cm³.
- \(2.4 \times 1\,000\,000 = 2\,400\,000\) cm³
Answer: \(2\,400\,000\) cm³
Question 7
Convert \(60\,000\text{ cm}^3\) to \(\text{m}^3\).
Show the answer and mark scheme
- M1 60 000 ÷ 1 000 000
- A1 0.06 m³
Answer: \(0.06\text{ m}^3\)
Question 8
A tank holds \(1.8\text{ m}^3\) of water. How many litres is this? (\(1\text{ m}^3 = 1000\) litres)
Show the answer and mark scheme
- M1 1.8 × 1000
- A1 1800 litres
Answer: \(1800\) litres
Question 9
A water tank is a cuboid \(1.2\) m long, \(0.5\) m wide and \(0.4\) m high.
How many litres does it hold when full?
Show the worked answer
- Volume \(= 1.2 \times 0.5 \times 0.4 = 0.24\) m³.
- \(1\) m³ \(= 1000\) litres, so \(0.24 \times 1000 = 240\) litres.
Answer: \(240\) litres
Every question on this page is original, written for IGCSE Math Revision rather than taken from Cambridge papers, and each answer was re-solved independently before publishing. Questions with a mark scheme come from our 0580 practice bank (M method, A accuracy, B independent marks).
Keep going
- Mensuration practice for 0580: more questions, each one marked, tagged Core or Extended
- My mistakes, then a Skill Builder on the skills you missed
- Common mistakes in 0580: what the Cambridge examiner reports say
- Mensuration revision notes and the 0580 formula sheet
- Cambridge IGCSE Maths 0580 past papers, when you are ready for a full paper
Questions students ask
Which Cambridge 0580 papers can test units of measure?
Units of Measure is on both tiers (syllabus 5.1), so it can come up on Core Papers 1 (non-calculator) and 3 (calculator), and Extended Papers 2 (non-calculator) and 4 (calculator). Extended candidates also need the Extended parts listed on this page. Half of each tier's marks are on a non-calculator paper, so practise the non-calculator questions without one.
Are these Cambridge past-paper questions?
No. Every question here was written for IGCSE Math Revision in the style of the 0580 papers, and each answer was checked independently before publishing. For real exam practice, use the Cambridge past papers linked from our 0580 past papers page.
Where can I practise more units of measure questions?
In the 0580 practice for topic 5 (Mensuration), where every question is marked and tagged Core or Extended. Practice is part of the IGCSE plan, with a free preview; the questions on this page are free.