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Extra practice for Year 10 Factorising and Solving Quadratics Worksheet — Level 3: the same skill with fresh questions.

WorksheetYear 10Level 3 · Challenge

Free Year 10 Factorising and Solving Quadratics Worksheet — Level 3 — Practice Set 3

Practice Set 3 for Year 10 Factorising and Solving Quadratics Worksheet — Level 3: the same skill and level with a fresh set of questions and a full answer sheet.

More practice: Set 1 · Practice Set 2 · Practice Set 4 — same skill, fresh questions, full answers.

Instant download · No sign-up · Free for personal, classroom and homeschool use

Year
Year 10
Subject
Maths
Topic
Quadratics
Difficulty
Level 3 · Challenge
Estimated time
15 minutes
Curriculum
England National Curriculum
Questions
10
Answers
Included, with working
Format
PDF (A4) + print

Students will practise

  • factorising quadratic expressions
  • solving quadratic equations by factorising
  • applying the null factor law

Curriculum: England National Curriculum. We show specific outcome codes only where they have been verified against the official curriculum document.

What's next?

Completed: Year 10 Factorising and Solving Quadratics Worksheet — Level 3 — Practice Set 3

  1. 1Year 10 Simultaneous Equations Worksheet — Level 1
  2. 2Year 10 Simultaneous Equations Worksheet — Level 2
  3. 3Year 10 Simultaneous Equations Worksheet — Level 3
← Easier: Level 2 · Standard

How to use this worksheet

  1. Print the PDF or complete it on screen. Write the student's name and date at the top.
  2. Read the instructions for each part together before starting. Encourage working to be shown, not just answers.
  3. Mark with the answer sheet. Compare the method, not only the final answer, and give credit for correct working.
  4. Record the score, celebrate what went well, then follow the "What's next" suggestion.

Common questions

Who is this worksheet for?

Year 10 students (typically ages 15–16) working on quadratics. It is pitched at level 3 · challenge; an easier version is linked above.

Are the answers included?

Yes. The PDF includes a full answer sheet with the working for every question. You can also view the answers online.

How long does it take?

About 15 minutes for 10 questions. Short, regular sessions work best: two or three a week beats one long one.

Do I need to sign up to download?

No. Click Download Free PDF and it opens immediately. It is free for personal, classroom and homeschool use.

What should we do next?

Try Year 10 Simultaneous Equations Worksheet — Level 1.

Preview

Success TutoringWorksheetsYear 10 · Mathematics · Quadratics

Year 10 Factorising and Solving Quadratics Worksheet — Level 3 — Practice Set 3

Name

Date

Score /

Factorise, then use the null factor law.

1.Solve: 3x2 − 30x + 63 = 0
2.Solve: 3x2 − 4x − 4 = 0
3.Solve: 3x2 + 19x + 20 = 0
4.Solve: 2x2 − 3x − 5 = 0
5.Solve: 2x2 + 16x − 18 = 0
6.Solve: 3x2 + 27x + 54 = 0
7.Solve: 3x2 − 16x + 5 = 0
8.Solve: 3x2 + 24x − 27 = 0
9.Solve: 2x2 + 8x + 6 = 0
10.Solve: 3x2 + 17x + 24 = 0
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Preview — the PDF contains the full resource and answer sheet.

More Year 10 quadratics resources

  • Worksheet

    Year 10 Factorising and Solving Quadratics Worksheet — Level 1

    Factorise monic quadratics and solve quadratic equations by factorising. Builds confidence with the core skill before adding complexity.…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    Year 10 Factorising and Solving Quadratics Worksheet — Level 2

    Factorise monic quadratics and solve quadratic equations by factorising. Expected-level practice for this year group. This Year 10…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    Year 10 Factorising and Solving Quadratics Worksheet — Level 3

    Factorise monic quadratics and solve quadratic equations by factorising. A challenge set for students ready to stretch further. This Year…

    Difficulty
    Level 3 · Challenge
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included

Quadratics in other year levels

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About this resource

Created by
Success Tutoring Maths Team
Reviewed by
Success Tutoring
Last reviewed
1 October 2026
How it was made
Generated by checked procedures

Free to print and share for personal, classroom and homeschool use. Please don't resell. Spotted an error? Let us know.