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Edexcel IGCSE Maths (4MA1) · Unit 5: Geometry

IGCSE Maths Quadrilaterals and Symmetry Questions and Answers

Quadrilaterals and Symmetry questions with full solutions for Pearson Edexcel International GCSE Mathematics A (4MA1), Higher tier. Read the worked example first, then try the 3 exam-style questions yourself and check your working against the mark scheme.

Practise quadrilaterals and symmetry in Unit 5 →Quadrilaterals and Symmetry revision notes

What this topic covers

Quadrilaterals and Symmetry worked examples

Worked example 1: Angles in a kite

A kite has two equal angles of \(110^\circ\) and a third angle of \(62^\circ\). Find the fourth angle.

Solution

  1. Angles in a quadrilateral add to \(360^\circ\).
  2. \(360-110-110-62=78^\circ\).

Answer: 78°

Tip: A kite has one pair of equal opposite angles.

Quadrilaterals and Symmetry exam-style questions

Try each question before you open the answer. The mark schemes use Edexcel-style marks: M for method, A for accuracy (after the method mark), B for an independent result.

Question 1 · easy · 1 mark

Write down the order of rotational symmetry of a regular hexagon.

Show the answer and mark scheme
  • B1 6

Answer: 6

Question 2 · medium · 2 marks

ABCD is a kite with AB = AD and CB = CD. Angle BAD = 110° and angle BCD = 50°. Work out the size of angle ABC.

Show the answer and mark scheme
  • M1 (360 − 110 − 50) ÷ 2
  • A1 100°

Answer: 100°

Question 3 · hard · 3 marks

A rhombus has sides of length 10 cm. One of its diagonals is 12 cm long. Work out the area of the rhombus.

Show the answer and mark scheme
  • M1 √(10² − 6²) = 8, so other diagonal 16
  • M1 ½ × 12 × 16 or 4 × ½ × 6 × 8
  • A1 96 cm²

Answer: 96 cm²

Every question and worked example here is original, written for IGCSE Math Revision rather than copied from Pearson papers, and each answer was re-solved independently before publishing.

Revise quadrilaterals and symmetry for the exam

Questions students ask

Which Edexcel IGCSE Maths papers test quadrilaterals and symmetry?

Either Higher tier paper, 1H or 2H, can test quadrilaterals and symmetry: both cover the whole Pearson Edexcel International GCSE Mathematics A (4MA1) specification and both allow a calculator. Show your method, because most marks are for working.

Where can I practise more quadrilaterals and symmetry questions?

In the IGCSE student hub: Unit 5 (Geometry) has more exam-style questions on this topic, each with a mark scheme. Practice starts with a 7-day free trial; the worked examples and questions on this page are free.

More Unit 5 topics: Geometry