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Learn: Ratio and Proportion
iGCSE Mathematics
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Welcome!Today, we’ll explore Ratio and Proportion, an essential concept in iGCSE Mathematics. It’s used to compare quantities and share values in real-world situations.
What is Ratio?A ratio compares two or more quantities by dividing them. For example, the ratio 3:2 means for every 3 parts of one quantity, there are 2 parts of another.
Quick check: What does the ratio 4:1 mean?
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What is Proportion?Proportion means two ratios are equal. It is often used to solve problems like scaling recipes or calculating distances on maps.
A proportion shows that two {{blank0}} are equal. For example, 2:3 is proportional to {{blank1}}:9.
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Simplifying RatiosTo simplify a ratio, divide all parts of the ratio by their highest common factor (HCF). For example, the ratio 12:8 simplifies to 3:2 by dividing both numbers by 4.
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Dividing a Quantity in a Given RatioTo divide a quantity into a given ratio, add the parts of the ratio, find one part, and then multiply. For example, to divide £60 in the ratio 2:3, add 2 + 3 = 5 parts. Each part is £60 ÷ 5 = £12. Multiply by the ratio: £24 and £36.
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Using Proportions to Solve ProblemsProportions help solve real-world problems. For example, if 3 apples cost £1.50, 6 apples will cost £3.00 because the ratio is proportional.
Which of the following are proportional? (Select all that apply)
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Review Time!Great work! You’ve learned about ratios and proportions. Let’s test your understanding with a few final questions.
What is the simplified form of 18:12?
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To divide a quantity in the ratio 2:4, you first add the parts to get {{blank0}}, then divide the total by it.
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Match the items on the left with their correct pairs on the right
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