Why can the perimeter stay the same after a corner is cut off?

The two edges removed are replaced by two new edges of the same total length.

How do I find the area from the perimeter and the difference between length and width?

Halve the perimeter to get length + width, split that using the difference, then multiply.

P5 Maths Area and Perimeter Paper 2: Intermediate

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 rectangular lawn is 3 m by 2 m. Find its area in sq m and in sq cm.
FoundationA rectangle has area 72 sq cm and width 6 cm. Find its length and perimeter.
FoundationThe largest square is cut from a 15 cm by 10 cm card. Find the area left.
IntermediateA 24 cm wire is bent into a square. Find its area.
IntermediateA 12 cm by 7 cm rectangle is cut along the middle of its length into two equal rectangles. How much extra perimeter do the two pieces have together?
IntermediateA room 5 m by 4 m is tiled with 50 cm square tiles. How many tiles are needed?
ChallengeA 3 cm by 2 cm corner is cut from an 8 cm by 6 cm rectangle. Find the area and perimeter left.
ChallengeA rectangle has perimeter 40 cm and its length is 4 cm more than its width. Find its area.
ChallengeA wall is 6 m long and 3 m high with a 1 m by 1 m window. Find the area to be painted.
Error redoError review: a pupil says 1 sq m = 100 sq cm, so 3 sq m = 300 sq cm. What is the correct value?

03　Answers and one-line notes

#	Answer	One-line note
1	6 sq m, that is 60000 sq cm	3 x 2 = 6 sq m, and each sq m is 10000 sq cm, so it is 60000 sq cm.
2	length 12 cm, perimeter 36 cm	Length = 72 ÷ 6 = 12 cm and perimeter = (12 + 6) x 2 = 36 cm.
3	50 sq cm	The largest square has side 10 cm and area 100 sq cm, so 150 – 100 = 50 sq cm is left.
4	36 sq cm	Side = 24 ÷ 4 = 6 cm, so the area is 6 x 6 = 36 sq cm.
5	14 cm more	Each piece is 6 cm by 7 cm with perimeter 26 cm, so the two total 52 cm against 38 cm, which is 14 cm more.
6	80 tiles	The room is 20 sq m and each tile is 0.5 x 0.5 = 0.25 sq m, so 20 ÷ 0.25 = 80 tiles.
7	area 42 sq cm, perimeter 28 cm	Area 48 – 6 = 42 sq cm; cutting a corner only moves two edges, so the perimeter stays (8 + 6) x 2 = 28 cm.
8	96 sq cm	Length + width = 40 ÷ 2 = 20 cm, so width = 8 cm and length = 12 cm, giving an area of 96 sq cm.
9	17 sq m	The wall is 18 sq m and the window is 1 sq m, so 18 – 1 = 17 sq m is painted.
10	30000 sq cm	A metre is 100 cm, so one sq m is 100 x 100 = 10000 sq cm, and 3 sq m is 30000 sq 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.