Ratio problems

In this lesson, you will solve problems involving ratio, fractions and percentages.

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.The angles in a triangle are in the ratio 1 : 2 : 3. What type of triangle is it?

1/5

Q2.The angles in a triangle are in the ratio 3 : 4 : 5. What type of triangle is it?

2/5

Q3.The angles in a triangle are in the ratio 1 : 1 : 1. What type of triangle is it?

3/5

Q4.The ratio of Adam’s height to Tony’s height is 7 : 9. Adam is 154 cm tall. How tall is Tony?

4/5

Q5.The ratio of Adam’s height to Tony’s height is 7 : 9. Adam is 154 cm tall. How much taller is Tony?

5/5

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.The angles in a triangle are in the ratio 1 : 2 : 3. What type of triangle is it?

1/5

Q2.The angles in a triangle are in the ratio 3 : 4 : 5. What type of triangle is it?

2/5

Q3.The angles in a triangle are in the ratio 1 : 1 : 1. What type of triangle is it?

3/5

Q4.The ratio of Adam’s height to Tony’s height is 7 : 9. Adam is 154 cm tall. How tall is Tony?

4/5

Q5.The ratio of Adam’s height to Tony’s height is 7 : 9. Adam is 154 cm tall. How much taller is Tony?

5/5

Video

Click on the play button to start the video. If your teacher asks you to pause the video and look at the worksheet you should:

  • Click "Close Video"
  • Click "Next" to view the activity

Your video will re-appear on the next page, and will stay paused in the right place.

Worksheet

These slides will take you through some tasks for the lesson. If you need to re-play the video, click the ‘Resume Video’ icon. If you are asked to add answers to the slides, first download or print out the worksheet. Once you have finished all the tasks, click ‘Next’ below.

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Ratio problems quiz

Show what you've learned!

Q1.A box contains caramel and toffee chocolates. 3/10 of the chocolates are caramel. What is the ratio of caramel to toffee chocolates in the box?

1/5

Q2.Which ratio could be described by the statement: A is 3/5 of B. All options are given in the form A : B.

2/5

Q3.At a bake sale 25% of the cupcakes on sale are chocolate. 3/5 of the cupcakes are vanilla and the rest are peanut butter. What is the ratio of chocolate:vanilla:peanut butter?

3/5

Q4.At a bake sale 25% of the cupcakes on sale are chocolate. 3/5 of the cupcakes are vanilla and the rest are peanut butter. If there are 48 peanut butter cupcakes, how many cupcakes are there altogether?

4/5

Q5.The ratio of roses to violets is 3 : 4. The ratio of violets to daisies is 6 : 5. What is the ratio of roses to violets to daisies, in its simplest form?

5/5

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Ratio problems quiz

Show what you've learned!

Q1.A box contains caramel and toffee chocolates. 3/10 of the chocolates are caramel. What is the ratio of caramel to toffee chocolates in the box?

1/5

Q2.Which ratio could be described by the statement: A is 3/5 of B. All options are given in the form A : B.

2/5

Q3.At a bake sale 25% of the cupcakes on sale are chocolate. 3/5 of the cupcakes are vanilla and the rest are peanut butter. What is the ratio of chocolate:vanilla:peanut butter?

3/5

Q4.At a bake sale 25% of the cupcakes on sale are chocolate. 3/5 of the cupcakes are vanilla and the rest are peanut butter. If there are 48 peanut butter cupcakes, how many cupcakes are there altogether?

4/5

Q5.The ratio of roses to violets is 3 : 4. The ratio of violets to daisies is 6 : 5. What is the ratio of roses to violets to daisies, in its simplest form?

5/5

Lesson summary: Ratio problems

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Time to move!

Did you know that exercise helps your concentration and ability to learn?

For 5 mins...

Move around:
Climb stairs

On the spot:
Chair yoga

This was the final lesson in the unit Ratio review (9.7a).

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