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 + x − 30
Answer: (x − 5)(x + 6)
- Find two numbers that multiply to −30 and add to 1: −5 and 6
2.Factorise: x2 + 2x + 1
Answer: (x + 1)(x + 1)
- Find two numbers that multiply to 1 and add to 2: 1 and 1
3.Factorise: x2 + 15x + 54
Answer: (x + 6)(x + 9)
- Find two numbers that multiply to 54 and add to 15: 6 and 9
4.Factorise: x2 + 6x − 27
Answer: (x − 3)(x + 9)
- Find two numbers that multiply to −27 and add to 6: −3 and 9
5.Factorise: x2 − 10x + 21
Answer: (x − 7)(x − 3)
- Find two numbers that multiply to 21 and add to −10: −7 and −3
6.Factorise: x2 + x − 6
Answer: (x − 2)(x + 3)
- Find two numbers that multiply to −6 and add to 1: −2 and 3
7.Factorise: x2 − 4x − 12
Answer: (x − 6)(x + 2)
- Find two numbers that multiply to −12 and add to −4: −6 and 2
8.Factorise: x2 − 5x + 6
Answer: (x − 3)(x − 2)
- Find two numbers that multiply to 6 and add to −5: −3 and −2
9.Factorise: x2 + 13x + 42
Answer: (x + 6)(x + 7)
- Find two numbers that multiply to 42 and add to 13: 6 and 7
10.Factorise: x2 + 12x + 36
Answer: (x + 6)(x + 6)
- Find two numbers that multiply to 36 and add to 12: 6 and 6
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.