Year 9 Factorising and Solving Quadratics Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 9 quadratics worksheet.
Year 9 · Mathematics · Quadratics
Year 9 Factorising and Solving Quadratics Worksheet — Level 1 — Answers
Success Tutoring
Factorise each quadratic.
1.Factorise: x2 + x − 12
Answer: (x − 3)(x + 4)
- Find two numbers that multiply to −12 and add to 1: −3 and 4
2.Factorise: x2 − x − 20
Answer: (x + 4)(x − 5)
- Find two numbers that multiply to −20 and add to −1: 4 and −5
3.Factorise: x2 − x − 2
Answer: (x − 2)(x + 1)
- Find two numbers that multiply to −2 and add to −1: −2 and 1
4.Factorise: x2 + 5x − 6
Answer: (x + 6)(x − 1)
- Find two numbers that multiply to −6 and add to 5: 6 and −1
5.Factorise: x2 + 7x + 6
Answer: (x + 1)(x + 6)
- Find two numbers that multiply to 6 and add to 7: 1 and 6
6.Factorise: x2 + 4x − 5
Answer: (x + 5)(x − 1)
- Find two numbers that multiply to −5 and add to 4: 5 and −1
7.Factorise: x2 + 13x + 36
Answer: (x + 4)(x + 9)
- Find two numbers that multiply to 36 and add to 13: 4 and 9
8.Factorise: x2 + 5x − 14
Answer: (x + 7)(x − 2)
- Find two numbers that multiply to −14 and add to 5: 7 and −2
9.Factorise: x2 + 2x − 24
Answer: (x + 6)(x − 4)
- Find two numbers that multiply to −24 and add to 2: 6 and −4
10.Factorise: x2 − 5x − 6
Answer: (x + 1)(x − 6)
- Find two numbers that multiply to −6 and add to −5: 1 and −6
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.
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