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 + 12x + 32
Answer: (x + 4)(x + 8)
- Find two numbers that multiply to 32 and add to 12: 4 and 8
2.Factorise: x2 − 9x + 18
Answer: (x − 6)(x − 3)
- Find two numbers that multiply to 18 and add to −9: −6 and −3
3.Factorise: x2 + 2x − 15
Answer: (x + 5)(x − 3)
- Find two numbers that multiply to −15 and add to 2: 5 and −3
4.Factorise: x2 − 8x − 9
Answer: (x − 9)(x + 1)
- Find two numbers that multiply to −9 and add to −8: −9 and 1
5.Factorise: x2 − 7x + 12
Answer: (x − 4)(x − 3)
- Find two numbers that multiply to 12 and add to −7: −4 and −3
6.Factorise: x2 + 10x + 9
Answer: (x + 9)(x + 1)
- Find two numbers that multiply to 9 and add to 10: 9 and 1
7.Factorise: x2 + 3x − 40
Answer: (x + 8)(x − 5)
- Find two numbers that multiply to −40 and add to 3: 8 and −5
8.Factorise: x2 − 2x − 15
Answer: (x − 5)(x + 3)
- Find two numbers that multiply to −15 and add to −2: −5 and 3
9.Factorise: x2 + 6x − 7
Answer: (x − 1)(x + 7)
- Find two numbers that multiply to −7 and add to 6: −1 and 7
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.