Class 7 (Math assignment)

 

Passage: Understanding the Concept of Ratio and Proportion

A ratio is a way to compare two quantities of the same kind. For example, if a class has 20 boys and 25 girls, the ratio of boys to girls is 20:25, which can be simplified to 4:5. This means that for every 4 boys, there are 5 girls. Ratios help us understand relationships between quantities in a simple way.

When two ratios are equal, they are said to be in proportion. For example, if the ratio of boys to girls in one class is 4:5 and in another class is 8:10, then these two ratios are proportional because 4/5 = 8/10. Proportions are very useful in solving problems related to maps, recipes, and scale drawings.

Ratios and proportions are also used in real life. For instance, when mixing paints to get a certain color, preparing medicine, or comparing speeds, ratios and proportions help us keep things in the correct balance. Understanding them helps students apply math in daily life situations.

Questions:

1. What does a ratio compare?
2. Simplify the ratio 15:25.
3. When are two ratios said to be in proportion?
4. Give one real-life example where ratios are used.
5. If 3/4 = x/8, find the value of x.