Year 11 Factorising and Solving Quadratics Worksheet — Level 1 — Practice Set 2 — 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 2 — Answers
Factorise each quadratic.
1.Factorise: x2 − 5x − 24
Answer: (x + 3)(x − 8)
- Find two numbers that multiply to −24 and add to −5: 3 and −8
2.Factorise: x2 + 7x + 10
Answer: (x + 5)(x + 2)
- Find two numbers that multiply to 10 and add to 7: 5 and 2
3.Factorise: x2 − 7x − 18
Answer: (x + 2)(x − 9)
- Find two numbers that multiply to −18 and add to −7: 2 and −9
4.Factorise: x2 + 4x + 3
Answer: (x + 1)(x + 3)
- Find two numbers that multiply to 3 and add to 4: 1 and 3
5.Factorise: x2 + 4x − 32
Answer: (x + 8)(x − 4)
- Find two numbers that multiply to −32 and add to 4: 8 and −4
6.Factorise: x2 + x − 12
Answer: (x − 3)(x + 4)
- Find two numbers that multiply to −12 and add to 1: −3 and 4
7.Factorise: x2 − 11x + 24
Answer: (x − 8)(x − 3)
- Find two numbers that multiply to 24 and add to −11: −8 and −3
8.Factorise: x2 − 2x − 8
Answer: (x + 2)(x − 4)
- Find two numbers that multiply to −8 and add to −2: 2 and −4
9.Factorise: x2 − 13x + 40
Answer: (x − 5)(x − 8)
- Find two numbers that multiply to 40 and add to −13: −5 and −8
10.Factorise: x2 − 5x + 6
Answer: (x − 3)(x − 2)
- Find two numbers that multiply to 6 and add to −5: −3 and −2
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.