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WorksheetYear 11Level 2 · Standard

Free 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 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 2 · Standard
Estimated time
20 minutes
Curriculum
New Zealand 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: New Zealand 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 2

More resources for this topic are coming soon.

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 15–16) working on simultaneous equations. It is pitched at level 2 · standard.

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?

Explore more Year 11 mathematics resources.

Preview

Year 11 · Mathematics · Simultaneous Equations

Year 11 Simultaneous Equations Worksheet — Level 2

Success Tutoring

Student name:

Date:

Score: /

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

1.Solve simultaneously: 4x + 4y = −16 and 4x − 3y = −2
2.Solve simultaneously: 3x + 4y = 47 and 3x − 3y = −9
3.Solve simultaneously: 3x + 3y = −33 and 3x − 4y = 9
4.Solve simultaneously: 4x + y = −4 and 4x − 2y = −28
5.Solve simultaneously: 3x + 3y = −12 and 3x − y = 12
6.Solve simultaneously: 3x + y = −20 and 3x − 2y = −5
7.Solve simultaneously: 4x + 2y = −24 and 4x − 3y = −14
8.Solve simultaneously: 3x + y = 24 and 3x − 3y = 0
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Preview — the PDF contains the full resource and answer sheet.

Simultaneous Equations in other year levels

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.