Year 11 Factorising and Solving Quadratics Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 11 quadratics worksheet.
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · QuadraticsYear 11 Factorising and Solving Quadratics Worksheet — Level 1 — Practice Set 4 — Answers
Factorise each quadratic.
1.Factorise: x2 + 8x − 9
Answer: (x + 9)(x − 1)
- Find two numbers that multiply to −9 and add to 8: 9 and −1
2.Factorise: x2 − 7x − 8
Answer: (x − 8)(x + 1)
- Find two numbers that multiply to −8 and add to −7: −8 and 1
3.Factorise: x2 + 5x − 24
Answer: (x − 3)(x + 8)
- Find two numbers that multiply to −24 and add to 5: −3 and 8
4.Factorise: x2 + 11x + 24
Answer: (x + 8)(x + 3)
- Find two numbers that multiply to 24 and add to 11: 8 and 3
5.Factorise: x2 − 14x + 48
Answer: (x − 8)(x − 6)
- Find two numbers that multiply to 48 and add to −14: −8 and −6
6.Factorise: x2 − 14x + 45
Answer: (x − 9)(x − 5)
- Find two numbers that multiply to 45 and add to −14: −9 and −5
7.Factorise: x2 − 5x − 14
Answer: (x + 2)(x − 7)
- Find two numbers that multiply to −14 and add to −5: 2 and −7
8.Factorise: x2 + 2x − 63
Answer: (x + 9)(x − 7)
- Find two numbers that multiply to −63 and add to 2: 9 and −7
9.Factorise: x2 + 8x + 7
Answer: (x + 7)(x + 1)
- Find two numbers that multiply to 7 and add to 8: 7 and 1
10.Factorise: x2 + 2x − 24
Answer: (x + 6)(x − 4)
- Find two numbers that multiply to −24 and add to 2: 6 and −4
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.