How are square, rectangle and rhombus related?

All three are parallelograms; a square meets both the rectangle and rhombus conditions.

How many parallel sides has a trapezium?

Exactly one pair, i.e. two sides; two pairs would make it a parallelogram.

How do you remember the angle sum of a quadrilateral?

Split it into two triangles: 180 times 2 = 360 degrees.

P4 Maths Classifying Quadrilaterals Paper 3: Challenge

2026-11-09

Tutor Prep Guide · P4 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: P4 Maths Classifying Quadrilaterals
Level	P4

02　Questions (10 items)

FoundationThe four angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. Find the largest angle.
FoundationA square has sides of 12 cm. What is its perimeter?
FoundationA rectangle has perimeter 40 cm and length 14 cm. Find its width.
IntermediateOne angle of a parallelogram is 40°. What is the largest of the other three angles?
IntermediateTwo angles of a quadrilateral are 90° each and a third is 60°. Find the fourth angle.
IntermediateOne diagonal of a square is 10 cm. How long is the other diagonal?
ChallengeThree angles of a quadrilateral are 95° each. Find the fourth angle.
ChallengeA rectangle is 3 times as long as it is wide and its perimeter is 48 cm. Find its length and width.
ChallengeIn a parallelogram one angle is twice its neighbour. Find the larger angle.
Error redoError review: a pupil says the diagonal of a square is as long as its side. Is that right?

03　Answers and one-line notes

#	Answer	One-line note
1	144 degrees	1 plus 2 plus 3 plus 4 = 10 parts, 360 divided by 10 = 36 degrees each, so the largest is 4 times 36 = 144 degrees.
2	48 cm	12 times 4 = 48 cm.
3	6 cm	Length plus width = 40 divided by 2 = 20, so the width is 20 minus 14 = 6 cm.
4	140 degrees	The adjacent angle is 180 minus 40 = 140 degrees, so the angles are 40, 140, 40 and 140 degrees.
5	120 degrees	360 minus 90 minus 90 minus 60 = 120 degrees.
6	10 cm	The diagonals of a square are equal and bisect each other at right angles, so the other is 10 cm.
7	75 degrees	360 minus 95 times 3 = 360 minus 285 = 75 degrees.
8	length 18 cm, width 6 cm	Let the width be x and the length 3x: 8x = 48, so x = 6 and the length is 18 cm.
9	120 degrees	Let the smaller be x: 3x = 180, so x = 60 and the larger angle is 2 times 60 = 120 degrees.
10	No, the diagonal is longer	For a 3 cm square the diagonal is about 4.24 cm, so a diagonal is always longer than a side.

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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