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WorksheetYear 7Level 3 · Challenge

Free Year 7 Equation Word Problems Worksheet — Level 3

Turn word problems into equations and solve them: think-of-a-number puzzles, consecutive numbers, perimeters and shopping problems. A challenge set for students ready to stretch further. This Year 7 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 7
Subject
Maths
Topic
Linear Equations
Difficulty
Level 3 · Challenge
Estimated time
20 minutes
Curriculum
England National Curriculum
Questions
8
Answers
Included, with working
Format
PDF (A4), print or complete online

Students will practise

  • writing equations from word problems
  • solving linear equations
  • checking solutions in context

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 7 Equation Word Problems Worksheet — Level 3

Ready for more? Move on to Year 8 Maths.

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 7 students (typically ages 12–13) working on linear 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?

Explore more Year 7 mathematics resources.

Preview

Success TutoringWorksheetsYear 7 · Mathematics · Linear Equations

Year 7 Equation Word Problems Worksheet — Level 3

Name

Date

Score /

For each problem, choose a letter for the unknown, write an equation, solve it, and check your answer in the words of the problem.

1.A rectangle is 5 cm longer than it is wide. Its perimeter is 62 cm. Find its width and length.
2.Mia buys some notebooks at $1.50 each and pays $8.00 for delivery. The total is $12.50. How many notebooks did Mia buy?
3.Zoe buys some notebooks at $1.50 each and pays $1.00 for delivery. The total is $10.00. How many notebooks did Zoe buy?
4.Amelia buys some notebooks at $3.50 each and pays $1.00 for delivery. The total is $8.00. How many notebooks did Amelia buy?
5.The sum of 4 consecutive whole numbers is 158. Find the numbers.
6.The sum of 2 consecutive whole numbers is 75. Find the numbers.
7.A rectangle is 2 cm longer than it is wide. Its perimeter is 36 cm. Find its width and length.
8.Tom buys some notebooks at $3.50 each and pays $7.00 for delivery. The total is $14.00. How many notebooks did Tom buy?
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

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

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    Year 7 Solving Linear Inequalities Worksheet — Level 3

    Solve one- and two-step inequalities, including reversing the sign when multiplying or dividing by a negative number, and list…

    Difficulty
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    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

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    Turn word problems into equations and solve them: think-of-a-number puzzles, consecutive numbers, perimeters and shopping problems. Builds…

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

    Year 7 Equation Word Problems Worksheet — Level 2

    Turn word problems into equations and solve them: think-of-a-number puzzles, consecutive numbers, perimeters and shopping problems.…

    Difficulty
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    Time
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    Questions
    8 questions
    Answers
    Answers included

Linear 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.