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
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Factorise each quadratic.
1.Factorise: x2 − 8x + 15
Answer: (x − 3)(x − 5)
- Find two numbers that multiply to 15 and add to −8: −3 and −5
2.Factorise: x2 − 2x − 15
Answer: (x − 5)(x + 3)
- Find two numbers that multiply to −15 and add to −2: −5 and 3
3.Factorise: x2 + 3x − 54
Answer: (x + 9)(x − 6)
- Find two numbers that multiply to −54 and add to 3: 9 and −6
4.Factorise: x2 − 14x + 48
Answer: (x − 8)(x − 6)
- Find two numbers that multiply to 48 and add to −14: −8 and −6
5.Factorise: x2 + 14x + 45
Answer: (x + 5)(x + 9)
- Find two numbers that multiply to 45 and add to 14: 5 and 9
6.Factorise: x2 − 15x + 54
Answer: (x − 6)(x − 9)
- Find two numbers that multiply to 54 and add to −15: −6 and −9
7.Factorise: x2 − 7x − 18
Answer: (x + 2)(x − 9)
- Find two numbers that multiply to −18 and add to −7: 2 and −9
8.Factorise: x2 + x − 56
Answer: (x − 7)(x + 8)
- Find two numbers that multiply to −56 and add to 1: −7 and 8
9.Factorise: x2 + 5x + 6
Answer: (x + 3)(x + 2)
- Find two numbers that multiply to 6 and add to 5: 3 and 2
10.Factorise: x2 − 11x + 24
Answer: (x − 3)(x − 8)
- Find two numbers that multiply to 24 and add to −11: −3 and −8
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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