Factorising quadratics worksheet – 13 exam-style questions

What's included?

Eight-page PDF

Key Stage



Years 10-11


This free factorising quadratics worksheet will help students practise solving quadratics by factorising. It takes the format of an eight-page exam-style PDF.

Remind students to read each question carefully, keep an eye on the time, answer every question and check their answers.

Factorising quadratics worksheet questions

Questions on this factorising quadratics worksheet include:

  • Factorise x2 – 4x – 45
  • Solve the equation: x2 – 4x – 45 = 0
  • The diagram shows a trapezium. The lengths of three of the sides of the trapezium are x – 5, x + 2 and x + 6. All measurements are given in centimetres. The area of the trapezium is 36cm2. Show that x2 – x – 56 = 0. Solve the equation x2 – x – 56 = 0. Hence find the length of the shortest side of the trapezium.

Maths Genie provides free GCSE and A Level maths resources. Find out more at Browse more factoring quadratics worksheets.

Factorising quadratics worksheet
Factorising quadratics worksheet – 13 exam-style questions

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