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 mathsgenie.co.uk. Browse more factoring quadratics worksheets.

Similar resources

• Maths formula booklet – 120 questions for Higher & Foundation
• GCSE maths revision worksheets – Print-friendly foundation sheets
• HCF LCM worksheet – Free KS3 maths worksheet and cards
• Dice and probability – KS4 maths lesson plan with Hit Ten game
• Directed numbers – Adding and subtracting KS3 lesson plan