Year 10 Factorising and Solving Quadratics Worksheet — Level 1 — Practice Set 2 — 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 2 — Answers
Factorise each quadratic.
1.Factorise: x2 + x − 20
Answer: (x + 5)(x − 4)
- Find two numbers that multiply to −20 and add to 1: 5 and −4
2.Factorise: x2 − 4x + 4
Answer: (x − 2)(x − 2)
- Find two numbers that multiply to 4 and add to −4: −2 and −2
3.Factorise: x2 − 81
Answer: (x − 9)(x + 9)
- Find two numbers that multiply to −81 and add to 0: −9 and 9
4.Factorise: x2 + 5x + 4
Answer: (x + 1)(x + 4)
- Find two numbers that multiply to 4 and add to 5: 1 and 4
5.Factorise: x2 − 13x + 42
Answer: (x − 6)(x − 7)
- Find two numbers that multiply to 42 and add to −13: −6 and −7
6.Factorise: x2 − 8x − 9
Answer: (x + 1)(x − 9)
- Find two numbers that multiply to −9 and add to −8: 1 and −9
7.Factorise: x2 − 3x + 2
Answer: (x − 1)(x − 2)
- Find two numbers that multiply to 2 and add to −3: −1 and −2
8.Factorise: x2 − 9
Answer: (x + 3)(x − 3)
- Find two numbers that multiply to −9 and add to 0: 3 and −3
9.Factorise: x2 − 8x + 15
Answer: (x − 5)(x − 3)
- Find two numbers that multiply to 15 and add to −8: −5 and −3
10.Factorise: x2 − x − 56
Answer: (x − 8)(x + 7)
- Find two numbers that multiply to −56 and add to −1: −8 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.