Year 10 Factorising and Solving Quadratics Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 10 quadratics worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · QuadraticsYear 10 Factorising and Solving Quadratics Worksheet — Level 1 — Practice Set 4 — Answers
Factorise each quadratic.
1.Factorise: x2 + 10x + 9
Answer: (x + 1)(x + 9)
- Find two numbers that multiply to 9 and add to 10: 1 and 9
2.Factorise: x2 − 7x − 18
Answer: (x − 9)(x + 2)
- Find two numbers that multiply to −18 and add to −7: −9 and 2
3.Factorise: x2 + 2x − 48
Answer: (x + 8)(x − 6)
- Find two numbers that multiply to −48 and add to 2: 8 and −6
4.Factorise: x2 + 11x + 18
Answer: (x + 9)(x + 2)
- Find two numbers that multiply to 18 and add to 11: 9 and 2
5.Factorise: x2 − 16x + 63
Answer: (x − 9)(x − 7)
- Find two numbers that multiply to 63 and add to −16: −9 and −7
6.Factorise: x2 + 10x + 21
Answer: (x + 3)(x + 7)
- Find two numbers that multiply to 21 and add to 10: 3 and 7
7.Factorise: x2 − x − 56
Answer: (x + 7)(x − 8)
- Find two numbers that multiply to −56 and add to −1: 7 and −8
8.Factorise: x2 + 16x + 63
Answer: (x + 7)(x + 9)
- Find two numbers that multiply to 63 and add to 16: 7 and 9
9.Factorise: x2 − 64
Answer: (x − 8)(x + 8)
- Find two numbers that multiply to −64 and add to 0: −8 and 8
10.Factorise: x2 − 2x − 15
Answer: (x + 3)(x − 5)
- Find two numbers that multiply to −15 and add to −2: 3 and −5
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.