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 − 16x + 63
Answer: (x − 9)(x − 7)
- Find two numbers that multiply to 63 and add to −16: −9 and −7
2.Factorise: x2 − 3x − 10
Answer: (x − 5)(x + 2)
- Find two numbers that multiply to −10 and add to −3: −5 and 2
3.Factorise: x2 + 8x − 9
Answer: (x − 1)(x + 9)
- Find two numbers that multiply to −9 and add to 8: −1 and 9
4.Factorise: x2 − 2x − 48
Answer: (x − 8)(x + 6)
- Find two numbers that multiply to −48 and add to −2: −8 and 6
5.Factorise: x2 + 2x − 3
Answer: (x − 1)(x + 3)
- Find two numbers that multiply to −3 and add to 2: −1 and 3
6.Factorise: x2 − 5x − 24
Answer: (x − 8)(x + 3)
- Find two numbers that multiply to −24 and add to −5: −8 and 3
7.Factorise: x2 − 3x − 28
Answer: (x + 4)(x − 7)
- Find two numbers that multiply to −28 and add to −3: 4 and −7
8.Factorise: x2 − 7x − 8
Answer: (x − 8)(x + 1)
- Find two numbers that multiply to −8 and add to −7: −8 and 1
9.Factorise: x2 + 15x + 56
Answer: (x + 8)(x + 7)
- Find two numbers that multiply to 56 and add to 15: 8 and 7
10.Factorise: x2 − x − 6
Answer: (x + 2)(x − 3)
- Find two numbers that multiply to −6 and add to −1: 2 and −3
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.