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 − 11x + 24
Answer: (x − 8)(x − 3)
- Find two numbers that multiply to 24 and add to −11: −8 and −3
2.Factorise: x2 + 4x − 32
Answer: (x − 4)(x + 8)
- Find two numbers that multiply to −32 and add to 4: −4 and 8
3.Factorise: x2 + 5x + 4
Answer: (x + 1)(x + 4)
- Find two numbers that multiply to 4 and add to 5: 1 and 4
4.Factorise: x2 − 3x − 28
Answer: (x + 4)(x − 7)
- Find two numbers that multiply to −28 and add to −3: 4 and −7
5.Factorise: x2 + 5x + 6
Answer: (x + 3)(x + 2)
- Find two numbers that multiply to 6 and add to 5: 3 and 2
6.Factorise: x2 − 4x − 32
Answer: (x + 4)(x − 8)
- Find two numbers that multiply to −32 and add to −4: 4 and −8
7.Factorise: x2 − 11x + 18
Answer: (x − 2)(x − 9)
- Find two numbers that multiply to 18 and add to −11: −2 and −9
8.Factorise: x2 + 2x − 24
Answer: (x + 6)(x − 4)
- Find two numbers that multiply to −24 and add to 2: 6 and −4
9.Factorise: x2 − 4
Answer: (x − 2)(x + 2)
- Find two numbers that multiply to −4 and add to 0: −2 and 2
10.Factorise: x2 − 11x + 30
Answer: (x − 6)(x − 5)
- Find two numbers that multiply to 30 and add to −11: −6 and −5
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.