Do the challenge items need extra formulas?

Only length times width and side times side; the rest is breaking the problem down and working backwards.

How is a reverse problem started?

Use the perimeter or area to find the missing side first, then put it back into the area formula.

What does finishing all three papers mean?

Counting squares, formulas, composite shapes and word problems in this chapter have all been practised.

P3 Maths Introduction to Area Paper 3: Challenge

2026-11-09

Tutor Prep Guide · P3 Maths

Ten original items, each with an answer and a one-line explanation.

Direct answers　Items 1-3 are basic, 4-6 intermediate and 7-9 challenge, with item 10 as the error review. Time yourself first, then check each answer and redo what is wrong.

01　Paper details (check answers afterwards)

Item	Detail
Questions	10
Suggested time	25
Difficulty mix	Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1
Chapter	Chapter: P3 Maths: Introduction to Area
Level	P3

02　Questions (10 items)

FoundationA rectangle has a perimeter of 24 centimetres and a length of 8 centimetres. What is its area?
FoundationA square has an area of 64 square centimetres. What is its perimeter?
FoundationA square of side 10 centimetres is cut into 4 equal smaller squares. What is the area of each?
IntermediateThe largest square is cut from a 15 by 12 centimetre card. What area is left?
IntermediateTwo equal squares form a rectangle with a perimeter of 36 centimetres. What is the area of each square?
IntermediateA rectangle is 3 centimetres longer than it is wide and its perimeter is 26 centimetres. What is its area?
ChallengeA wall is 6 metres by 3 metres and has a window 2 metres by 1 metre. What area needs painting?
ChallengeA room is 4 metres by 3 metres and carpet costs 85 dollars per square metre. What is the total cost?
ChallengeA corridor is 4 metres by 2 metres and each tile is 20 by 10 centimetres. How many tiles are needed?
Error redoA rectangle is 8 by 6 centimetres with an area of 48 square centimetres, and a student used (8 + 6) times 2 = 28 as the area. What is correct?

03　Answers and one-line notes

#	Answer	One-line note
1	32 square centimetres	24 divided by 2 = 12, then 12 minus 8 = 4 centimetres wide, so 8 times 4 = 32 square centimetres.
2	32 centimetres	8 times 8 = 64, so each side is 8 centimetres and the perimeter is 8 times 4 = 32 centimetres.
3	25 square centimetres	10 times 10 = 100, and 100 divided by 4 = 25 square centimetres.
4	36 square centimetres	The largest square has side 12 centimetres: 15 times 12 = 180 and 12 times 12 = 144, leaving 36 square centimetres.
5	36 square centimetres	The rectangle has 6 equal sides adding to 36 centimetres, so each side is 6 centimetres and the area is 36 square centimetres.
6	40 square centimetres	Length plus width = 26 divided by 2 = 13 centimetres, giving width 5 and length 8, so the area is 40 square centimetres.
7	16 square metres	6 times 3 = 18 and 2 times 1 = 2, so 18 minus 2 = 16 square metres.
8	1020 dollars	4 times 3 = 12 square metres, and 12 times 85 = 1020 dollars.
9	400 tiles	4 metres is 400 centimetres, so 400 times 200 = 80000 square centimetres; each tile is 200, giving 400 tiles.
10	48 square centimetres	Area is length times width: 8 times 6 = 48 square centimetres, while (8 + 6) times 2 is the perimeter.

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.

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