P4 Maths: Area Units And Conversion (Paper 3 (challenge))

P4 Maths: Area Units and Conversion (Paper 3 (challenge))

2026-11-15

Tutor Prep Guide · How square metres and square centimetres relate, which way to multiply or divide when converting area units, keeping side length apart from area, comparing areas given in different units, and diagnosing common slips

P4 Maths: Area Units and Conversion (Paper 3 (challenge))

Ten area unit conversion questions on square metres and square centimetres, square kilometres, mixed measurements and comparing areas, with answers and one-line notes.

Level: Primary 4 Maths; format: converting area units, splitting mixed measurements, comparing areas, finding a missing side and diagnosing wrong work.　Primary 4 area unit conversion practice: ten questions on 1 square metre = 10 000 square centimetres, square kilometres, mixed measurements, comparing areas and common slips, each with an answer and a one-line note.

01　Paper details (check answers afterwards)

Item	Detail
Questions	10
Suggested time	20
Difficulty mix	Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1
Chapter	Chapter: P4 Maths: Area Units and Conversion
Level	P4

02　Questions (10 items)

FoundationHow many square kilometres are there in 1 000 000 square metres?
FoundationHow many square metres are there in 3 square kilometres?
FoundationA rectangle has an area of 4 800 square centimetres and a length of 80 cm. What is its width?
IntermediateA rectangle has an area of 2.5 square metres and a width of 50 cm. What is its length in metres?
IntermediateA square has an area of 9 square metres. What is the side length in metres and in centimetres?
IntermediateHow many square centimetres are there in 0.06 square metres?
ChallengePlot A has an area of 3 square metres and plot B 25 000 square centimetres. What is their total area in square centimetres?
ChallengeA cloth is 2 m by 1.5 m and is cut into squares of side 25 cm. What is the greatest number of squares?
ChallengeA park covers 1 square kilometre and 250 000 square metres of it is grass. What area is left in square metres?
Error redoA student wrote “0.5 square metres = 50 square centimetres” because 0.5 x 100 = 50. What is the correct answer?

03　Answers and one-line notes

#	Answer	One-line note
1	1 square kilometre.	Square kilometres become square metres by multiplying by 1 000 000, so divide to go back.
2	3 000 000 square metres.	Each square kilometre is 1 000 000 square metres, so three of them make 3 000 000.
3	60 cm.	Width is area divided by length, so 4 800 / 80 = 60.
4	5 metres.	Convert first: 2.5 square metres is 25 000 square centimetres, then 25 000 / 50 = 500 cm, which is 5 m.
5	3 metres, that is 300 centimetres.	Since 3 x 3 = 9, the side is 3 m, and 3 m is 300 cm.
6	600 square centimetres.	Multiply 0.06 by 10 000 to get 600; more decimal places does not mean the area cannot be found.
7	55 000 square centimetres.	Three square metres is 30 000 square centimetres, and adding 25 000 gives 55 000.
8	48 squares.	The cloth is 200 x 150 = 30 000 square centimetres, each square is 625 square centimetres, and 30 000 / 625 = 48.
9	750 000 square metres.	One square kilometre is 1 000 000 square metres, and 1 000 000 – 250 000 = 750 000.
10	5 000 square centimetres.	Area conversion multiplies by 10 000, so 0.5 x 10 000 = 5 000; multiplying by 100 converts lengths only.

04　What to do after marking

After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
Repeat the same item two days later; move to the next paper only when both attempts are correct.
Parents only need the answer and note columns; there is no need to explain every item.

Ask first whether the figure is a length or an area. Lengths convert by 100, while areas convert by 100 twice, that is 10 000. When one side is in metres and the other in centimetres, match the units before multiplying, convert both sides to the same unit before comparing, and always finish by checking the square unit in the answer.Tutor Registration →

Questions and answers are written originally by the TutorZone team and are not taken from any school, publisher or examination authority paper. Every value is checked by computer.