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Ratios & percentages worksheets

Work with equivalent ratios, unit prices and percentages.

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First identify the quantities in the question. Are you comparing two amounts, finding a part of a whole, or working out how much something changed? Choose the worksheet for that particular task.

Where to start

  1. Equivalent ratios

    Practice scaling both ratio terms by the same factor. Ask what stays constant when both quantities change.

  2. Fractions, decimals and percentages

    Connect equivalent representations using exact hundredths. Explain a familiar value such as 25% = 0.25 = 1/4 before extending the range.

  3. Percent of a quantity

    Find a part of a known whole. Once this direction is secure, use finding-the-whole questions to reverse the relationship.

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7 skills

Percent of a quantity

Find a percentage of a whole-number amount.

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Finding the whole from a percent

Find the original amount when you know a part and its percentage.

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Percentage increase and decrease

Work out the percentage increase or decrease from an original amount.

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Fractions, decimals and percentages

Write a fraction as an equivalent decimal and percentage.

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Simplifying ratios

Divide both parts of a ratio to write it in simplest form.

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Equivalent ratios

Fill in a missing ratio value using the same multiplier for both parts.

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Unit rates

Use a total price to find the cost of one item.

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Check understanding

A quantity increases from 80 to 100. What is the percentage increase?

25% increase.

The increase is 20 and the original quantity is 80. Calculate 20 ÷ 80 × 100 = 25%. Using the new amount as the base would answer a different comparison.

Teaching notes

On finding-the-whole worksheets, the range controls the hidden whole rather than the displayed part. On percentage-change worksheets, it controls the original amount. The unit-rate sheet uses whole-dollar costs per item; it is a focused division task for finding a price per item.

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