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Playbook

Quadrilaterals

54 q · 20% HARD · rising from 2.4 to 3.7 a paper. Rhombus and kite has no HARD; the general-quadrilateral page is the expensive one at 36%.

Questions in the bank
54
q/paper (21 papers)
2.57
Tagged HARD
20%
Subtopics
5

Strand: Selective

When you’ll see it

A parallelogram, rhombus, trapezium or cyclic quadrilateral with sides, angles or diagonals given.

How this chapter is tested

54 questions, rising from 2.4 a paper in 2016-2020 to 3.7 in 2024-2026, at 20% HARD. Rhombus and kite has never set a HARD question; the general-quadrilateral page is the expensive one at 36%.

The sub-skills

The distinct skills inside the chapter, in the order to learn them.

  • Parallelograms

    Diagonals bisect each other; area = base × height.

  • Rhombus and kite

    Diagonals meet at right angles; area = ½ d₁d₂; side² = (d₁/2)² + (d₂/2)².

  • Trapeziums

    Area = ½(a + b)h; the diagonals divide each other in the ratio of the parallel sides.

  • Cyclic quadrilaterals

    Opposite angles add to 180°.

Traps to expect

Distractor shapes this chapter reuses. The Traps page covers the ones that cut across chapters.

  • Rhombus diagonals

    They are perpendicular but not equal — that would be a square.

Learn it before you drill it

This chapter has full teaching notes — foundations, worked examples, self-checks and a mastery check for each subtopic. Read the notes once, then drill subtopic by subtopic below.

Quadrilaterals notes

Drill every Quadrilaterals question

54 questions from the bank, across 5 subtopics.

Drill the 54 questions

Drill one subtopic at a time

The 5 subtopics, in teaching order.

Related playbooks

Often paired with this one — the technique or the trap overlaps. Drill these next.