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IGCSE Maths Worksheet: Quadratic Equations

IGCSE Maths worksheet – quadratic equations with full solutions

Instructions

Show all working. Calculators are not permitted for Section A. This worksheet should take approximately 30 minutes.

Section A – Factorisation (No calculator)

  1. Solve by factorising: x² + 5x + 6 = 0

  2. Solve by factorising: x² − 3x − 10 = 0

  3. Solve by factorising: 2x² + 7x + 3 = 0

  4. Solve by factorising: 3x² − 12x = 0

Section B – Quadratic Formula

  1. Solve: x² − 4x + 1 = 0 (leave in surd form)

  2. Solve: 2x² + 3x − 7 = 0 (give answers to 2 d.p.)

Section C – Problem Solving

  1. A rectangle has length (x + 5) cm and width (x − 2) cm. Its area is 60 cm². Find x.

Answers

1) x=−2,−3 2) x=5,−2 3) x=−¼,−3 4) x=0,4 5) x=2±√3 6) x=1.27,−2.77 7) x=7 (length=12, width=5)

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