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 2: Intermediate

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	20
Difficulty mix	Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1
Chapter	Chapter: P4 Maths Classifying Quadrilaterals
Level	P4

02　Questions (10 items)

FoundationThree angles of a quadrilateral are 95°, 85° and 100°. Find the fourth angle.
FoundationA square has sides of 8 cm. What is its perimeter?
FoundationA rectangle is 9 cm by 5 cm. What is its perimeter?
IntermediateOne angle of a parallelogram is 115°. What is the adjacent angle?
IntermediateA rhombus has a perimeter of 36 cm. How long is each side?
IntermediateAn isosceles trapezium has a base angle of 70°. What are the other base angle and an upper angle?
ChallengeOne diagonal of a rectangle is 13 cm. How long is the other diagonal?
ChallengeThree angles of a quadrilateral are equal and the fourth is 120°. Find each equal angle.
ChallengeIn a parallelogram one angle is 3 times its neighbour. Find the smaller angle.
Error redoError review: a pupil says a trapezium has two pairs of parallel sides. Is that right?

03　Answers and one-line notes

#	Answer	One-line note
1	80 degrees	360 minus 95 minus 85 minus 100 = 80 degrees.
2	32 cm	Four equal sides: 8 times 4 = 32 cm.
3	28 cm	(9 plus 5) times 2 = 28 cm, since length and width each appear twice.
4	65 degrees	Adjacent angles add to 180°, so 180 minus 115 = 65 degrees.
5	9 cm	All four sides are equal, so 36 divided by 4 = 9 cm.
6	base angle 70 degrees, upper angle 110 degrees	Base angles on the same side are equal (70°); the upper angle is 180 minus 70 = 110 degrees.
7	13 cm	The diagonals of a rectangle are equal, so the other is 13 cm too.
8	80 degrees	(360 minus 120) divided by 3 = 80 degrees.
9	45 degrees	Let the smaller be x: x plus 3x = 180, so 4x = 180 and x = 45 degrees.
10	No, a trapezium has only one pair of parallel sides	Two pairs of parallel sides would make a parallelogram; a trapezium has exactly one pair.

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.