 GCSE Maths Revision List Foundation | Ratio and Rates of Change

# GCSE Maths Revision List – Ratio, proportions, rates of change Foundation

If you are revising for your GCSE Maths foundation exams and you are not sure what you need to know for the ratio and rates of change part of the course well this page will run you through everything that is part of the course. Make your Maths revision easier with Maths Made Easy.

#### RATIO, PROPORTIONS, RATES OF CHANGE:F

1. Change freely between related standard units (e.g. time, length, area, volume/capacity, mass) and compound units (e.g. speed, rates of pay, prices, density, pressure) in numerical and algebraic contexts

2. Use scale factors, scale diagrams and maps

3. express one quantity as a fraction of another, where the fraction is less than 1 or greater than 1

4. Use ratio notation, including reduction to simplest form

5. Divide a given quantity into two parts in a given part:part or part:whole ratio;
express the division of a quantity into two parts as a ratio;
apply ratio to real contexts and problems (such as those involving conversion, comparison, scaling, mixing, concentrations)

6. Express a multiplicative relationship between two quantities as a ratio or a fraction

7. understand and use proportion as equality of ratios

8. Relate ratios to fractions and to linear functions

9. Percentages.

• define percentage as ‘number of parts per hundred’
• interpret percentages and percentage changes as a fraction or a decimal, and interpret these multiplicatively
• express one quantity as a percentage of another
• compare two quantities using percentages
• work with percentages greater than 100%
• solve problems involving percentage change, including percentage increase/decrease and original value problems, and simple interest including in financial mathematics

10. solve problems involving direct and inverse proportion, including graphical and algebraic representations

11. use compound units such as speed, rates of pay, unit pricing, density and pressure

12. compare lengths, areas and volumes using ratio notation; make links to similarity (including trigonometric ratios) and scale factors

13. understand that y is inversely proportional to x is equivalent to y=1/x interpret equations that describe direct and inverse proportion

14. Interpret the gradient of a straight line graph as a rate of change; recognise and interpret graphs that illustrate direct and inverse proportion

15. Set up, solve and interpret the answers in growth and decay problems, including compound interest

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