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WorksheetYear 11Level 1 · Easier

Free Year 11 Gradient and Linear Equations Worksheet — Level 1

Find the gradient between two points, read the gradient and y-intercept from an equation, write the equation of a line and test whether a point lies on it. Builds confidence with the core skill before adding complexity. This Year 11 worksheet has 10 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
Linear Relationships & Graphs
Difficulty
Level 1 · Easier
Estimated time
15 minutes
Curriculum
New Zealand Curriculum
Questions
10
Answers
Included, with working
Format
PDF (A4), print or complete online

Students will practise

  • finding the gradient between two points
  • reading the gradient and y-intercept from an equation
  • interpreting gradient as rise over run

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 Gradient and Linear Equations Worksheet — Level 1

  1. 1Year 11 Gradient and Linear Equations Worksheet — Level 2
  2. 2Year 11 Gradient and Linear Equations Worksheet — Level 3
  3. 3Quadratics Cheat Sheet: Factorising and Solving
  4. 4Year 11 Factorising and Solving Quadratics Worksheet — Level 1
Harder: Level 2 · Standard →Study guide

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 linear relationships & graphs. It is pitched at level 1 · easier; a harder 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 11 Gradient and Linear Equations Worksheet — Level 2.

Preview

Success TutoringWorksheetsYear 11 · Mathematics · Linear Relationships & Graphs

Year 11 Gradient and Linear Equations Worksheet — Level 1

Name

Date

Score /

Show your working. Gradient = rise ÷ run; the equation of a line can be written as y = (gradient)x + (y-intercept).

1.For the line y = −5x − 6, write the gradient and the y-intercept. (answer space)
2.For the line y = −x + 3, write the gradient and the y-intercept. (answer space)
3.For the line y = 2x + 9, write the gradient and the y-intercept. (answer space)
4.Find the gradient of the line through (1, 1) and (−1, −1).
5.Find the gradient of the line through (6, 0) and (8, 2).
6.For the line y = −4x − 9, write the gradient and the y-intercept. (answer space)
7.For the line y = −3x + 8, write the gradient and the y-intercept. (answer space)
8.For the line y = −x − 3, write the gradient and the y-intercept. (answer space)
9.For the line y = x + 7, write the gradient and the y-intercept. (answer space)
10.Find the gradient of the line through (−2, 6) and (2, 18).
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 linear relationships & graphs resources

  • Worksheet

    Year 11 Gradient and Linear Equations Worksheet — Level 2

    Find the gradient between two points, read the gradient and y-intercept from an equation, write the equation of a line and test whether a…

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

    Year 11 Gradient and Linear Equations Worksheet — Level 3

    Find the gradient between two points, read the gradient and y-intercept from an equation, write the equation of a line and test whether a…

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

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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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