Year 10 Factorising and Solving Quadratics Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 10 quadratics worksheet.
Year 10 · Mathematics · Quadratics
Year 10 Factorising and Solving Quadratics Worksheet — Level 1 — Answers
Success Tutoring
Factorise each quadratic.
1.Factorise: x2 + 2x − 3
Answer: (x − 1)(x + 3)
- Find two numbers that multiply to −3 and add to 2: −1 and 3
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 − 5x + 4
Answer: (x − 4)(x − 1)
- Find two numbers that multiply to 4 and add to −5: −4 and −1
4.Factorise: x2 − 7x + 6
Answer: (x − 1)(x − 6)
- Find two numbers that multiply to 6 and add to −7: −1 and −6
5.Factorise: x2 − 16x + 63
Answer: (x − 7)(x − 9)
- Find two numbers that multiply to 63 and add to −16: −7 and −9
6.Factorise: x2 + 9x + 14
Answer: (x + 7)(x + 2)
- Find two numbers that multiply to 14 and add to 9: 7 and 2
7.Factorise: x2 + 5x + 6
Answer: (x + 3)(x + 2)
- Find two numbers that multiply to 6 and add to 5: 3 and 2
8.Factorise: x2 − 10x + 16
Answer: (x − 2)(x − 8)
- Find two numbers that multiply to 16 and add to −10: −2 and −8
9.Factorise: x2 + 7x − 8
Answer: (x + 8)(x − 1)
- Find two numbers that multiply to −8 and add to 7: 8 and −1
10.Factorise: x2 + 2x − 63
Answer: (x + 9)(x − 7)
- Find two numbers that multiply to −63 and add to 2: 9 and −7
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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