Year 10 Factorising and Solving Quadratics Worksheet — Level 1 — 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 — Answers
Factorise each quadratic.
1.Factorise: x2 − 5x − 6
Answer: (x + 1)(x − 6)
- Find two numbers that multiply to −6 and add to −5: 1 and −6
2.Factorise: x2 + x − 2
Answer: (x − 1)(x + 2)
- Find two numbers that multiply to −2 and add to 1: −1 and 2
3.Factorise: x2 − x − 56
Answer: (x + 7)(x − 8)
- Find two numbers that multiply to −56 and add to −1: 7 and −8
4.Factorise: x2 + 7x − 18
Answer: (x + 9)(x − 2)
- Find two numbers that multiply to −18 and add to 7: 9 and −2
5.Factorise: x2 − 14x + 49
Answer: (x − 7)(x − 7)
- Find two numbers that multiply to 49 and add to −14: −7 and −7
6.Factorise: x2 − 6x − 27
Answer: (x + 3)(x − 9)
- Find two numbers that multiply to −27 and add to −6: 3 and −9
7.Factorise: x2 − 10x + 24
Answer: (x − 4)(x − 6)
- Find two numbers that multiply to 24 and add to −10: −4 and −6
8.Factorise: x2 + 10x + 24
Answer: (x + 6)(x + 4)
- Find two numbers that multiply to 24 and add to 10: 6 and 4
9.Factorise: x2 − 5x − 24
Answer: (x − 8)(x + 3)
- Find two numbers that multiply to −24 and add to −5: −8 and 3
10.Factorise: x2 + 9x + 20
Answer: (x + 4)(x + 5)
- Find two numbers that multiply to 20 and add to 9: 4 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.