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 − 10x + 21
Answer: (x − 3)(x − 7)
- Find two numbers that multiply to 21 and add to −10: −3 and −7
2.Factorise: x2 + 6x + 5
Answer: (x + 5)(x + 1)
- Find two numbers that multiply to 5 and add to 6: 5 and 1
3.Factorise: x2 + 14x + 48
Answer: (x + 6)(x + 8)
- Find two numbers that multiply to 48 and add to 14: 6 and 8
4.Factorise: x2 + x − 12
Answer: (x + 4)(x − 3)
- Find two numbers that multiply to −12 and add to 1: 4 and −3
5.Factorise: x2 + x − 72
Answer: (x + 9)(x − 8)
- Find two numbers that multiply to −72 and add to 1: 9 and −8
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 − 3x − 18
Answer: (x + 3)(x − 6)
- Find two numbers that multiply to −18 and add to −3: 3 and −6
8.Factorise: x2 + 11x + 28
Answer: (x + 7)(x + 4)
- Find two numbers that multiply to 28 and add to 11: 7 and 4
9.Factorise: x2 − 49
Answer: (x − 7)(x + 7)
- Find two numbers that multiply to −49 and add to 0: −7 and 7
10.Factorise: x2 + 8x + 7
Answer: (x + 1)(x + 7)
- Find two numbers that multiply to 7 and add to 8: 1 and 7
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.