Year 10 Factorising and Solving Quadratics Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 10 quadratics worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · QuadraticsYear 10 Factorising and Solving Quadratics Worksheet — Level 3 — Answers
Factorise, then use the null factor law.
1.Solve: 2x2 − 3x − 27 = 0
Answer: x = or x = −3
- Factorise: (2x − 9)(x + 3) = 0
- 2x − 9 = 0 gives x =
- x + 3 = 0 gives x = −3
2.Solve: 2x2 + 2x − 12 = 0
Answer: x = 2 or x = −3
- Factorise: (2x − 4)(x + 3) = 0
- 2x − 4 = 0 gives x = 2
- x + 3 = 0 gives x = −3
3.Solve: 2x2 + 10x + 8 = 0
Answer: x = -1 or x = −4
- Factorise: (2x + 2)(x + 4) = 0
- 2x + 2 = 0 gives x = -1
- x + 4 = 0 gives x = −4
4.Solve: 2x2 − 14x − 16 = 0
Answer: x = -1 or x = 8
- Factorise: (2x + 2)(x − 8) = 0
- 2x + 2 = 0 gives x = -1
- x − 8 = 0 gives x = 8
5.Solve: 2x2 + 13x + 18 = 0
Answer: x = − or x = −2
- Factorise: (2x + 9)(x + 2) = 0
- 2x + 9 = 0 gives x = −
- x + 2 = 0 gives x = −2
6.Solve: 3x2 − 25x + 28 = 0
Answer: x = or x = 7
- Factorise: (3x − 4)(x − 7) = 0
- 3x − 4 = 0 gives x =
- x − 7 = 0 gives x = 7
7.Solve: 3x2 + 16x + 16 = 0
Answer: x = − or x = −4
- Factorise: (3x + 4)(x + 4) = 0
- 3x + 4 = 0 gives x = −
- x + 4 = 0 gives x = −4
8.Solve: 2x2 + 3x − 9 = 0
Answer: x = or x = −3
- Factorise: (2x − 3)(x + 3) = 0
- 2x − 3 = 0 gives x =
- x + 3 = 0 gives x = −3
9.Solve: 2x2 + 13x + 15 = 0
Answer: x = − or x = −5
- Factorise: (2x + 3)(x + 5) = 0
- 2x + 3 = 0 gives x = −
- x + 5 = 0 gives x = −5
10.Solve: 3x2 − 5x − 28 = 0
Answer: x = − or x = 4
- Factorise: (3x + 7)(x − 4) = 0
- 3x + 7 = 0 gives x = −
- x − 4 = 0 gives x = 4
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.