Understanding Rate, Ratio, and Percentage is essential for solving real-world problems in mathematics. These concepts help us compare values, determine relationships, and calculate proportions efficiently. In this Class 6th Mathematics unit, based on the Khyber Pakhtunkhwa syllabus, students will explore these important topics with detailed explanations, examples, and exercises.
Key Concepts Covered:
- Ratio:
- A ratio is a way to compare two numbers or quantities. It is written in the form of a:b or as a fraction a/b.
- For example, if there are 3 apples and 5 bananas, the ratio of apples to bananas is 3:5.
- Moreover, ratios are widely used in maps, construction, and recipes.
- Rate:
- A rate compares two quantities with different units, such as speed (kilometers per hour) or price (rupees per liter).
- For instance, if a car travels 60 km in 2 hours, the rate of speed is 30 km/h.
- Additionally, rates are useful in transportation, finance, and productivity analysis.
- Percentage:
- A percentage represents a number out of 100 and is used in financial calculations, statistics, and daily transactions.
- For example, if you score 80 out of 100 on a test, your percentage is 80%.
- Furthermore, percentages help in understanding discounts, profits, and data comparisons.

Why Are These Concepts Important?
- First of all, they allow us to solve real-life problems effectively.
- Secondly, they enhance logical thinking and decision-making.
- Finally, they are widely used in shopping, banking, business, and science.
Features of These Notes:
Step-by-step explanations for easy understanding.
Real-life examples to make learning engaging.
Solved exercises and practice questions to improve problem-solving skills.
By mastering Rate, Ratio, and Percentage, students will gain confidence in mathematics and develop essential skills for future studies.
Other Units of Mathematics Class 6th
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