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Free Year 10 Ratio & Rates Worksheets

9 free ratio & rates resources for Year 10: 9 worksheets. Answers included.

Ratios, rates, proportions and simplifying. Year 10 students solve more complex equations, work with linear graphs, meet Pythagoras' theorem and trigonometry, and expand binomials.

Students will practise: simplifying ratios; dividing a quantity in a given ratio; finding the value of one part; calculating average speed; finding distance and time from speed; converting between minutes and hours; calculating unit prices; comparing value for money.

Recommended learning path

  1. 1Year 10 Ratio Worksheet — Level 1
  2. 2Year 10 Ratio Worksheet — Level 2
  3. 3Year 10 Ratio Worksheet — Level 3
  4. 4Year 10 Speed, Distance and Time Worksheet — Level 1
  5. 5Year 10 Speed, Distance and Time Worksheet — Level 2
  6. 6Year 10 Speed, Distance and Time Worksheet — Level 3
  7. 7Year 10 Best Buys and Unit Prices Worksheet — Level 1
  8. 8Year 10 Best Buys and Unit Prices Worksheet — Level 2
Level:

Worksheets

Printable practice with an answer sheet.

  • Worksheet

    Year 10 Ratio Worksheet — Level 1

    Simplify ratios, divide amounts in a given ratio and solve ratio problems. Builds confidence with the core skill before adding complexity.…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    Year 10 Ratio Worksheet — Level 2

    Simplify ratios, divide amounts in a given ratio and solve ratio problems. Expected-level practice for this year group. This Year 10…

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

    Year 10 Ratio Worksheet — Level 3

    Simplify ratios, divide amounts in a given ratio and solve ratio problems. A challenge set for students ready to stretch further. This…

    Difficulty
    Level 3 · Challenge
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    Year 10 Speed, Distance and Time Worksheet — Level 1

    Use speed = distance ÷ time to find speed, distance or time, including times in hours and minutes. Builds confidence with the core skill…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    Year 10 Speed, Distance and Time Worksheet — Level 2

    Use speed = distance ÷ time to find speed, distance or time, including times in hours and minutes. Expected-level practice for this year…

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

    Year 10 Speed, Distance and Time Worksheet — Level 3

    Use speed = distance ÷ time to find speed, distance or time, including times in hours and minutes. A challenge set for students ready to…

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

    Year 10 Best Buys and Unit Prices Worksheet — Level 1

    Work out unit prices (cost per 100 g, per litre, per item) and decide which pack is better value. Builds confidence with the core skill…

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

    Year 10 Best Buys and Unit Prices Worksheet — Level 2

    Work out unit prices (cost per 100 g, per litre, per item) and decide which pack is better value. Expected-level practice for this year…

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

    Year 10 Best Buys and Unit Prices Worksheet — Level 3

    Work out unit prices (cost per 100 g, per litre, per item) and decide which pack is better value. A challenge set for students ready to…

    Difficulty
    Level 3 · Challenge
    Time
    20 min
    Questions
    8 questions
    Answers
    Answers included

All ratio & rates worksheets, every year →

Common questions

What do Year 10 students learn about ratio & rates?

Ratios, rates, proportions and simplifying. At Year 10, our resources focus on: simplifying ratios; dividing a quantity in a given ratio; finding the value of one part; calculating average speed.

Where should we start?

Start with the Level 1 or Level 2 worksheet, then move up a level. Finish with the topic test if there is one.

Are answers included?

Yes — every worksheet has an answer sheet. Maths answer sheets show the working; English tasks include model answers or success criteria.

How to use these resources

  1. Start with the Level 1 worksheet for the topic — if it's easy, move up a level.
  2. Use the answer sheet's working, not just the final answer, to check the method.
  3. Finish a topic with the topic test to see whether the skill is secure.
  4. Two or three short sessions a week beat one long one.

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