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Learn: Ratio and Proportion
iGCSE Mathematics
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Welcome!Today we'll learn about ratio and proportion, important concepts for comparing quantities and solving real-world problems. Let's explore this step by step!
What is a Ratio?A ratio is a way to compare two or more quantities by division. For example, if you have 3 apples and 2 oranges, the ratio of apples to oranges is 3:2.
Quick check: If there are 6 apples and 4 oranges, what is the ratio of apples to oranges?
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What is Proportion?A proportion shows that two ratios are equal. For example, if 1:2 is the same as 3:6, we say these ratios are proportional.
Which of the following sets of ratios are proportional? (Select all that apply)
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Using Ratios and ProportionsRatios and proportions can be used to solve everyday problems, like dividing a quantity into parts or scaling recipes. For example, if a recipe uses a ratio of sugar to flour of 1:3, you can calculate how much sugar is needed for any amount of flour.
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Reverse Ratio ProblemsSometimes you need to work backwards to find a quantity. For example, if you know the ratio and one value, you can calculate the other. Let's practise this next!
A ratio of 2:5 means for every 2 parts of {{blank0}}, there are 5 parts of {{blank1}}.
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Real-World ApplicationsRatios and proportions are used in scaling maps, mixing paints, adjusting recipes, and budgeting. For example, if you want to scale a recipe for 4 people to serve 8 people, you double the ingredients by using proportions.
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Review Time!Great work! You've learned about ratios and proportions. Now let's test your understanding with a few final questions.
If the ratio of boys to girls in a class is 3:4, and there are 12 boys, how many girls are there?
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Which of the following are correct uses of proportions? (Select all that apply)
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Match the items on the left with their correct pairs on the right
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