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 + 8x + 16
Answer: (x + 4)(x + 4)
- Find two numbers that multiply to 16 and add to 8: 4 and 4
2.Factorise: x2 + 12x + 27
Answer: (x + 3)(x + 9)
- Find two numbers that multiply to 27 and add to 12: 3 and 9
3.Factorise: x2 − 12x + 27
Answer: (x − 3)(x − 9)
- Find two numbers that multiply to 27 and add to −12: −3 and −9
4.Factorise: x2 − x − 20
Answer: (x + 4)(x − 5)
- Find two numbers that multiply to −20 and add to −1: 4 and −5
5.Factorise: x2 + x − 6
Answer: (x − 2)(x + 3)
- Find two numbers that multiply to −6 and add to 1: −2 and 3
6.Factorise: x2 + 2x − 35
Answer: (x + 7)(x − 5)
- Find two numbers that multiply to −35 and add to 2: 7 and −5
7.Factorise: x2 + 3x − 54
Answer: (x − 6)(x + 9)
- Find two numbers that multiply to −54 and add to 3: −6 and 9
8.Factorise: x2 − x − 6
Answer: (x − 3)(x + 2)
- Find two numbers that multiply to −6 and add to −1: −3 and 2
9.Factorise: x2 + 9x + 14
Answer: (x + 2)(x + 7)
- Find two numbers that multiply to 14 and add to 9: 2 and 7
10.Factorise: x2 + 5x − 14
Answer: (x + 7)(x − 2)
- Find two numbers that multiply to −14 and add to 5: 7 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.