Succeed with maths – Part 1

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# Week 6: Percentage calculations and ratios

## Introduction

This week, you will continue your study of percentages. After a refresh of some of last week’s ideas, you will turn your attention to carrying out calculations with percentages. This will help you to feel confident in using these in different situations, such as working out a reduction in price. Finally, you’ll spend a little time learning about ratios. Again, this session contains more activities for you to carry out than in some other weeks to provide opportunities to practise your skills and grow in confidence.

In the following video Maria will introduce you to Week 6:

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#### Transcript

Maria Townsend
This glass contains 200mls of water. If I add 50% to it and then reduce it by 50% will I end up back where I started? If I increase the volume by 50% I have to add 100mls, giving me 300, as in this glass here. If I reduce the volume now by 50%, that only leaves me with 150mls. As we have here. So you can see we haven’t ended up back with 200mls. This week, we’ll look at this kind of thing in more detail.
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After this study week, you should be able to:

• work out a percentage increase or decrease
• work backwards to remove a percentage increase
• understand how percentages and ratios are used in everyday life
• use ratios in calculations.