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Learn: Ratio and Proportion
iGCSE Mathematics
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Welcome!Today we'll learn about ratio and proportion. These concepts are important for comparing quantities and solving real-world problems. Let's break it down step by step.
What is a Ratio?A ratio compares two or more quantities by dividing them. For example, if there are 2 apples and 3 oranges, the ratio of apples to oranges is 2:3. Ratios can help us understand relationships between quantities.
Quick check: What does a ratio represent?
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What is Proportion?A proportion states that two ratios are equal. For example, if 2:3 = 4:6, then the two ratios are proportional. Proportions are useful for solving problems involving scaling or equivalent relationships.
A proportion states that two {{blank0}} are {{blank1}}.
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Using Ratios in Real LifeRatios are used in recipes, maps, and scaling models. For example, a map might have a scale of 1:50,000, meaning 1 cm on the map equals 50,000 cm in real life.
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How to Simplify RatiosTo simplify a ratio, divide both parts by their greatest common factor (GCF). For example, the ratio 6:9 can be simplified to 2:3 by dividing both numbers by 3.
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Solving Proportion ProblemsTo solve a proportion, use cross multiplication. For example, if 2:3 = x:9, multiply 2 × 9 = 3 × x, giving x = 6.
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Review Time!Great work! You've learned about ratios, proportions, and how to apply them. Now let’s test your understanding with a few questions.
Which of the following are true about ratios and proportions? (Select all that apply)
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Final ThoughtsRatios and proportions are powerful tools for solving everyday problems. Keep practising, and you'll master them in no time!
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