The ratio shows how parts of a whole quantity are shared. In this worksheet, we’ll look at the ratio of two numbers and how to convert the parts of a ratio to fraction, percentage and decimal. This work is ideal for Years 6, 7 or 8 students. The steps are laid out in the example to help students work out the ratio of two numbers.
Key: The parts of a ratio, together, makes a whole, also known as the total parts. It is important to identify the TOTAL PART to work out the ratio of two numbers.
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Work out the ratio of two numbers
We’ll use the 5 steps given below to work out parts of the money ratio. Example: Share $20 in the ratio 2 : 3
Try these questions: For QUESTIONS 1 – 4, write the ratio of two numbers in the quantities given.
Q1. Divide the 405 in the ratio 4 to 11.
Q2. Divide 7,560 in the ratio 4 to 5.
Q3. Share $40 in the ratio 1 to 4.
Q4. Share $747 in the ratio 2 to 7.
Write the ratio of two numbers as fractions
Try these questions: For QUESTIONS 5 and 6, write the ratio of the 2 numbers as fractions. Use the example to help you. Example: Write the parts of the ratio 1 : 4 as fractions.
Q5. How many parts are in the ratio 7 : 13?
Q6. Convert each part of the ratio to fraction and simply where necessary: (I) 3 : 7 (II) 20 : 5 (III) 40 : 60
Here is a related work on Converting Fractions that provides a good understanding of the work on fractions
Write the ratio of two numbers as percentages
Try these questions: For QUESTIONS 7 – 9, write the ratio of the 2 numbers as percentages. Use the example to help you. Example: Write the parts of the ratio 1 : 4 as percentages.
Q7. A percent is a ratio of a number relative to ____%. What is the missing ‘number’?
Q8. What is the percentage of each number in the ratio 1 : 2?
Q9. Convert each part of the ratio to percentage: (I) 3 : 7 (II) 1 : 18 (III) 20 : 5
Here is related work on converting percentages that is useful.
Part D: Write the ratio of two numbers as decimals
Try these questions: For QUESTIONS 10 – 12, write the ratio of the 2 numbers as decimals. Use the example to help you. Example: Write the parts of the ratio 1 : 4 as decimals.
Q10. How many parts are in the ratio 2 : 8?
Q11. What is the decimal equivalent of each number in the ratio of 1 to 3?
Q12. Convert each part of the ratio to decimal: (I) 3 : 7 (II) 1 : 18 (III) 20 : 5 (IV) 40 : 60
Ratio and quantity practical word problems
Try these questions: QUESTIONS 13 – 20, real world problems where ratios are used. Use the examples, questions and answers above to help you. (Leave a comment if you need help)
Q13. A 2-stroke engine requires the 50 : 1 ratio, 50 ml of petrol is required for every ml of oil.
How many litres of petrol would be required to mix 20 mL of oil?
Q14. What is:
(I) 50 to 1 ratio in litres? (Note: 50 : 1 ratio means 50 ml to every ml of oil)
(I) 40 to 1 ratio in litres?
(III) 32 to 1 ratio in litres?
(IV) 25 to 1 ratio in litres?
Q15. The rice to water ratio for a rice cooker is 1 cup to 2 cups.
How many cups of water are required to cook 3.5 cups of rice?
Q16. When cooking couscous add 1½ cups of warm water per 1 cup of couscous.
How many cups of warm water to is required to cook 6 cups of couscous?
Q17. One kilogram is equal to 4.125 cups.
If you add twice the amount of water for every cup of rice, how many cups water is required to cook 1 kilogram of rice?
Q18. The ratio of petrol for the a 2-stroke engines is 50 millilitres (mL) of petrol to 1 millilitres (mL) of oil.
How much oil is required to mix 2 L of petrol?
Q19. The coffee to water ratio by weight is 1 gram to 17 grams of water.
A pot of coffee contains 3 grams of coffee, how much water is required to make a perfect coffee?
Q20. The ratio of sugar to water for hummingbird feeder is 1 part sugar to 4 parts water. If a hummingbird drinks 75 grams from a bird feeder, how much sugar and water is the bird taking in, respectively?
Download the ratio worksheet: Questions and Answers Worksheets PDF
I converted this work into a ratio worksheet for use in class or at home. The worksheet is a reduced version of the article and provides a good overview of How to Work Out the Ratio of Two Numbers. Click on the download button to get the worksheet.
Content of the ratio worksheet:
- 20 Questions and Answers
- Worked Examples
- Side notes
Revision note A ratio can be converted to fractions (a part of several parts) percentages (a part of 100%) and or decimals (a part of 1). Remember to identify the order in which the numbers appear in a ratio. The ratio is a representation of the parts of a whole. Therefore, always find the total parts when working with ratios.
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