Ratio And Proportion Class 6 Worksheets With Answers

What is Ratio?

A ratio is a comparison of two or more quantities. It shows how much one quantity is greater or smaller than another. Ratios are often written in the form of a fraction or with a colon between the numbers.

What is Proportion?

A proportion is a statement that shows two ratios are equal. It compares the part to the whole or one set of quantities to another set of quantities. Proportions can be solved by cross-multiplication.

Ratio and Proportion Worksheets for Class 6 with Answers

These worksheets are designed for Class 6 students to practice ratio and proportion problems. They provide various exercises to strengthen their understanding of these concepts. Below are some examples with answers:

Worksheet 1: Simple Ratios

1. Find the ratio of boys to girls in a class of 30 students if there are 20 boys.
Answer: The ratio of boys to girls is 20:10 or 2:1.

2. A recipe requires 2 cups of flour for every 3 cups of sugar. How much flour is needed for 9 cups of sugar?
Answer: The ratio of flour to sugar is 2:3. Using this ratio, we can set up a proportion:
2/3 = x/9
Cross-multiplying, we get: 3x = 18
Therefore, x = 6 cups of flour.

Worksheet 2: Proportions

1. Solve the proportion: 5/8 = x/16.
Answer: Cross-multiplying, we get: 8x = 80
Therefore, x = 10.

2. The ratio of boys to girls in a class is 3:5. If there are 18 boys, how many girls are there?
Answer: We can set up a proportion using the given ratio and the number of boys:
3/5 = 18/x
Cross-multiplying, we get: 3x = 90
Therefore, x = 30 girls.

These worksheets provide ample practice for Class 6 students to master ratio and proportion concepts. By solving these problems, students can develop their mathematical skills and enhance their problem-solving abilities.

Remember, practice is key to understanding and mastering these concepts. So, keep practicing and enjoy learning!