Year 7 Exam > Year 7 Notes > Year 7 Mathematics (Cambridge) > Percentages
Percentages | Year 7 Mathematics (Cambridge) PDF Download
Understanding Percentages
- Definition: Percentages represent a portion out of 100. They are used to express parts of a whole or to compare quantities.
- Examples:
- 50% means half of something.
- 25% means a quarter of something.
- Usage: Percentages are used in everyday situations like discounts, interest rates, and statistics.
Calculating Percentages
- Basic Calculation: To calculate a percentage of a number, multiply the number by the percentage.
Example: What is 20% of 80?
80 × 0.2 = 16
So, 20% of 80 is 16. - Finding the Whole: To find the whole when given a percentage and a part of it, divide the part by the percentage.
Example: 25 is 20% of what number?
25 ÷ 0.2 = 125
So, 25 is 20% of 125. - Applications:
- Discounts: Calculating sale prices after applying discounts.
- Interest: Understanding interest rates on loans or savings accounts.
Question for PercentagesTry yourself: What is 15% of 200?View Solution
Variety of Examples
Example 1: Discount Calculation
If a shirt originally costs $40 and is on sale for 20% off, how much will it cost?
Sol: 40 × 0.8 = 32
The discounted price is $32.
Example 2: Finding the Whole
15 is 25% of what number?
Sol: 15 ÷ 0.25 = 60
So, 15 is 25% of 60.
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FAQs on Percentages - Year 7 Mathematics (Cambridge)
| 1. What is a percentage and how is it calculated? |  |
Ans. A percentage is a way of expressing a number as a fraction of 100. It is calculated by taking the number you want to find the percentage of, dividing it by the total amount, and then multiplying by 100.
| 2. Can you provide an example of how to calculate a percentage? | |
Ans. For example, if you have 20 apples and you want to find out what percentage 5 apples is, you would divide 5 by 20 (5/20 = 0.25), then multiply by 100 to get 25%. Therefore, 5 apples is 25% of 20 apples.
| 3. How are percentages used in everyday life? | |
Ans. Percentages are commonly used in everyday life for calculating discounts during sales, calculating tips at restaurants, measuring interest rates on loans, and tracking changes in stock prices.
| 4. What is the significance of understanding percentages in school education? | |
Ans. Understanding percentages is crucial in school education as it helps students grasp concepts such as fractions, ratios, and proportions. It also enables them to analyze data, make informed decisions, and solve real-world problems.
| 5. How can one improve their ability to calculate percentages accurately? | |
Ans. To improve the ability to calculate percentages accurately, one can practice solving various percentage-related problems, use online resources and tools for practice, and seek help from teachers or tutors if needed.
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About this Document
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Dec 22, 2024 Last updated |
Document Description: Percentages for Year 7 2024 is part of Year 7 Mathematics (Cambridge) preparation.
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