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WorksheetYear 11Level 3 · Challenge

Free Year 11 Simultaneous Equations Worksheet — Level 3

Solve pairs of linear equations by elimination or substitution. A challenge set for students ready to stretch further. This Year 11 worksheet has 8 questions and comes with a full answer sheet showing the working for every question.

Need more practice? Practice Set 2 · Practice Set 3 · Practice Set 4 — same skill, fresh questions, full answers.

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

Year
Year 11
Subject
Maths
Topic
Simultaneous Equations
Difficulty
Level 3 · Challenge
Estimated time
20 minutes
Curriculum
England National Curriculum
Questions
8
Answers
Included, with working
Format
PDF (A4) + print

Students will practise

  • solving simultaneous equations by elimination
  • substituting to find the second variable
  • checking solutions

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 11 Simultaneous Equations Worksheet — Level 3

  1. 1Year 11 Function Notation, Composites and Inverses Worksheet — Level 1
  2. 2Year 11 Function Notation, Composites and Inverses Worksheet — Level 2
  3. 3Year 11 Function Notation, Composites and Inverses 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 11 students (typically ages 16–17) working on simultaneous equations. 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 20 minutes for 8 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 11 Function Notation, Composites and Inverses Worksheet — Level 1.

Preview

Success TutoringWorksheetsYear 11 · Mathematics · Simultaneous Equations

Year 11 Simultaneous Equations Worksheet — Level 3

Name

Date

Score /

Solve each pair of equations. Check your solution satisfies both equations.

1.Solve simultaneously: 2x − 3y = 10 and 3x − 2y = 10
2.Solve simultaneously: 2x − 4y = 36 and 2x − 3y = 30
3.Solve simultaneously: 2x − 4y = −2 and 3x − 3y = −6
4.Solve simultaneously: 2x − 3y = 13 and 3x − y = 9
5.Solve simultaneously: 2x − 2y = −10 and 3x + y = 9
6.Solve simultaneously: 2x + y = −18 and 2x − 4y = 12
7.Solve simultaneously: 3x − 3y = −39 and 2x + 4y = 16
8.Solve simultaneously: 4x − y = −15 and 3x − y = −11
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 11 simultaneous equations resources

  • Worksheet

    Year 11 Simultaneous Equations Worksheet — Level 1

    Solve pairs of linear equations by elimination or substitution. Builds confidence with the core skill before adding complexity. This Year…

    Difficulty
    Level 1 · Easier
    Time
    20 min
    Questions
    8 questions
    Answers
    Answers included
  • Worksheet

    Year 11 Simultaneous Equations Worksheet — Level 2

    Solve pairs of linear equations by elimination or substitution. Expected-level practice for this year group. This Year 11 worksheet has 8…

    Difficulty
    Level 2 · Standard
    Time
    20 min
    Questions
    8 questions
    Answers
    Answers included

Simultaneous Equations 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.