How is this paper different from papers 1 to 3?

It targets the commonest mistakes, such as confusing perimeter with area or writing cm instead of sq cm, and the last item unpicks one typical misconception.

How do I keep the units of area and perimeter apart?

Area uses square units (sq cm, sq m) while perimeter uses length units (cm, m); one square metre is 10000 sq cm.

P5 Maths Area and Perimeter Paper 4: Error Review

2026-11-09

Tutor Prep Guide · P5 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 every answer and redo the wrong ones.

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: P5 Maths Area and Perimeter
Level	P5

02　Questions (10 items)

FoundationA square has side 12 cm. Find its area.
FoundationA rectangle has area 90 sq cm and width 6 cm. Find its length.
FoundationA rectangle is 18 cm long and 7 cm wide. Find its perimeter.
IntermediateA square has perimeter 48 cm. Find its area.
IntermediateA rectangular field is 25 m long and 12 m wide. Find its area in sq m and in sq cm.
IntermediateAn L shape is made by cutting a 5 cm by 4 cm corner from a 12 cm by 10 cm rectangle. Find the area left.
ChallengeA rectangle has area 64 sq cm with whole-number sides. What is its smallest possible perimeter?
ChallengeTwo 9 cm by 4 cm rectangles are joined along their long sides. How much perimeter is lost compared with the two separate rectangles?
ChallengeFour 2 cm by 2 cm squares are cut from the corners of a 10 cm square card. Find the area and the perimeter of the remaining shape.
Error redoKen says: “A rectangle with area 36 sq cm must have a perimeter of 24 cm.” What is wrong, and what is the correct statement?

03　Answers and one-line notes

#	Answer	One-line note
1	144 sq cm	Area of a square = side x side = 12 x 12 = 144 sq cm.
2	15 cm	Length = area ÷ width = 90 ÷ 6 = 15 cm.
3	50 cm	Perimeter = (length + width) x 2 = (18 + 7) x 2 = 50 cm.
4	144 sq cm	Side = 48 ÷ 4 = 12 cm, so the area is 12 x 12 = 144 sq cm.
5	300 sq m, which is 3000000 sq cm	Area = 25 x 12 = 300 sq m; one square metre is 10000 sq cm, so it is 3000000 sq cm.
6	100 sq cm	The big rectangle is 120 sq cm and the corner is 20 sq cm, so 100 sq cm remains.
7	32 cm	Factor pairs give perimeters 130, 68, 40 and 32 cm; the closer to a square, the smaller the perimeter, so the least is 32 cm (8 cm by 8 cm).
8	8 cm	Each rectangle has perimeter 26 cm, so 52 cm in total; joined they form 18 cm by 4 cm with perimeter 44 cm, a loss of 8 cm.
9	area 84 sq cm, perimeter 40 cm	Area = 10 x 10 – 4 x (2 x 2) = 84 sq cm; the edges cut in match the edges removed, so the outline length is unchanged at 40 cm.
10	Wrong: equal area does not mean equal perimeter. A 4 cm by 9 cm rectangle also has area 36 sq cm but its perimeter is 26 cm; only the 6 cm square has perimeter 24 cm.	Area only fixes length x width = 36, so the shape can vary; 4 x 9 and 6 x 6 share the same area but have perimeters 26 cm and 24 cm.

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.

Book a Maths tutor 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.