Year 9 Ratio and Proportion Worksheets | Printable PDFs

Year 9 Ratio worksheets for Year 9 Maths (Key Stage 3). Students aged 13-14 build on their earlier understanding of ratio and proportion by solving more complex problems. They learn how to simplify ratios, divide quantities in a given ratio, and use ratios involving fractions, decimals and different units.
To practice easier ratio problems see Year 8 Ratio and Proportion Worksheets. In year 9 students learn to apply ratio reasoning to real-life contexts such as recipes, maps, speed, density and financial calculations. For ratio and proportion problems targeting grade 5-7 see Year 10 Ratio and Proportion Worksheets.

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For more Ratio and Proportion Worksheets, see Year 10 Ratio and Proportion Worksheets


Common Questions about Year 9 Ratio and Proportion

  1. Why must units be converted before simplifying a ratio?

    Ratios can only be simplified correctly when all quantities are expressed in the same units.
  2. How do you find the total amount represented by a three-part ratio?

    Add the ratio parts together to find the total number of shares, then use the given information to calculate the value of each share.
  3. How can a ratio be used to divide an amount into parts?

    First find the total number of shares in the ratio, then divide the amount by the number of shares and allocate the shares accordingly.

Year 9 Ratio and Proportion Common Mistakes

  1. Common Mistake 1

    Simplifying a ratio before converting all quantities into the same units.
  2. Common Mistake 2

    Forgetting to add all parts of a three-part ratio to find the total number of shares.
  3. Common Mistake 3

    Dividing the amount by one part of the ratio instead of the total number of shares.


Ratio and Proportion Worksheets - Free Worksheets Above

Year 9 simplifying ratios with units worksheet preview

Simplifying Ratios With Units

Year 9 three part ratios worksheet preview

Three Part Ratios

Year 9 ratio problem solving (a) worksheet preview

Ratio Problem Solving (A)