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GCSE Mathematics (Edexcel) 1MA1
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Welcome!Welcome to today's lesson about percentages. We'll explore how to calculate percentages and apply them in real-life situations. Let's get started!
What is a Percentage?A percentage is a way of expressing a number as a fraction of 100. It is represented using the symbol %. For example, 25% means 25 out of 100, or 25/100, which is equivalent to 0.25.
Why Are Percentages Important?Percentages help us compare quantities easily, understand proportions, and calculate increases or decreases, such as discounts or interest rates. They are widely used in finance, shopping, and data analysis.
Which of the following represents 40% as a fraction?
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How to Calculate Percentages?To calculate a percentage, divide the part by the whole and multiply by 100. For example, if you scored 80 marks out of 100 in a test, the percentage score is (80 ÷ 100) × 100 = 80%.
Match the items on the left with their correct pairs on the right
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Finding the Whole from a PercentageTo calculate the original amount when given a percentage, divide the part by the percentage (as a decimal). For example, if you know 25% of the total is 50, divide 50 by 0.25 to find the total: 50 ÷ 0.25 = 200.
If 15 is 30% of a number, the original number is {{blank0}}.
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Percentage Increase and DecreaseTo calculate a percentage increase, find the difference between the new and original value, divide it by the original value, and multiply by 100. For a percentage decrease, do the same but ensure the difference reflects a reduction.
The price of a coat increased from £40 to £50. What is the percentage increase?
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Reverse PercentagesReverse percentages involve finding the original value before a percentage was applied. Divide the final value by (1 + percentage increase) or (1 − percentage decrease).
Match the items on the left with their correct pairs on the right
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Percentage Change in Real LifePercentages are often used in sales and finance. For example, calculating discounts, interest rates, or population changes. Understanding percentages helps make informed decisions.
Review Time!Great work! You've learned about percentages, including how to calculate them, find the original amount, and work with percentage changes. Let's test your understanding!
Select all correct statements about percentages:
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If a product cost £200 and the price is reduced by 15%, what is the new price?
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A car's price increased by 20% from £12,000. The new price is {{blank0}}.
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Match the items on the left with their correct pairs on the right
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Well done!You've completed the lesson on percentages. Remember to practice regularly to master these concepts!
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