Year 11 Factorising and Solving Quadratics Worksheet — Level 1 — Practice Set 3 — 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 3 — Answers
Factorise each quadratic.
1.Factorise: x2 − 2x − 35
Answer: (x − 7)(x + 5)
- Find two numbers that multiply to −35 and add to −2: −7 and 5
2.Factorise: x2 − x − 6
Answer: (x − 3)(x + 2)
- Find two numbers that multiply to −6 and add to −1: −3 and 2
3.Factorise: x2 − x − 12
Answer: (x + 3)(x − 4)
- Find two numbers that multiply to −12 and add to −1: 3 and −4
4.Factorise: x2 + 8x + 7
Answer: (x + 1)(x + 7)
- Find two numbers that multiply to 7 and add to 8: 1 and 7
5.Factorise: x2 − 7x − 8
Answer: (x − 8)(x + 1)
- Find two numbers that multiply to −8 and add to −7: −8 and 1
6.Factorise: x2 − 3x − 10
Answer: (x + 2)(x − 5)
- Find two numbers that multiply to −10 and add to −3: 2 and −5
7.Factorise: x2 − x − 56
Answer: (x − 8)(x + 7)
- Find two numbers that multiply to −56 and add to −1: −8 and 7
8.Factorise: x2 + x − 20
Answer: (x − 4)(x + 5)
- Find two numbers that multiply to −20 and add to 1: −4 and 5
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 + 14x + 48
Answer: (x + 6)(x + 8)
- Find two numbers that multiply to 48 and add to 14: 6 and 8
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.