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.

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Year: Year 11
Subject: Mathematics
Topic: Simultaneous Equations
Difficulty: Level 3 · Challenge
Estimated time: 20 minutes
Curriculum: Australian 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: Australian 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

You've reached the end of this topic — next up: Functions

Study guide

How to use this worksheet

Print the PDF or complete it on screen. Write the student's name and date at the top.
Read the instructions for each part together before starting. Encourage working to be shown, not just answers.
Mark with the answer sheet. Compare the method, not only the final answer, and give credit for correct working.
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.

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?

Move on to Functions.

Year 11 · Mathematics · Simultaneous Equations

Year 11 Simultaneous Equations Worksheet — Level 3

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Student name:

Date:

Score: /

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

1.Solve simultaneously: 4x + y = −16 and 5x + 2y = −14

2.Solve simultaneously: 2x + 4y = 12 and 3x + 3y = 3

3.Solve simultaneously: 4x − 4y = −16 and 5x + 5y = −40

4.Solve simultaneously: 2x + 4y = −10 and 3x − 2y = −7

5.Solve simultaneously: 3x + 4y = 44 and 5x − y = 12

6.Solve simultaneously: 3x + 3y = −3 and 2x − 5y = 12

7.Solve simultaneously: 4x + 2y = 30 and 3x + 4y = 25

8.Solve simultaneously: 4x + 2y = 38 and 4x + 3y = 43

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

Simultaneous Equations in other year levels

Year 10 Simultaneous Equations Worksheet — Level 2
Worksheet · Year 10 · Simultaneous Equations · Level 2 · Standard
Year 10 Simultaneous Equations Worksheet — Level 3
Worksheet · Year 10 · Simultaneous Equations · Level 3 · Challenge
Year 9 Simultaneous Equations Worksheet — Level 1
Worksheet · Year 9 · Simultaneous Equations · Level 1 · Easier

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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

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