CBSE 6_Mathematics_Ratio & Proportion _Worksheet

 CBSE 6_Mathematics_Ratio & Proportion Worksheet

Ratio and proportion are fundamental concepts in mathematics that help us compare and relate quantities.

Ratio

A ratio is a comparison of two or more numbers. It is often denoted by the symbol ":" or "/". For example, the ratio of 2 to 3 is written as 2:3 or 2/3.

Types of Ratios

1. Part-to-Part Ratio: Compares two parts of a whole. For example, the ratio of boys to girls in a class.

2. Part-to-Whole Ratio: Compares a part to the whole. For example, the ratio of students who like mathematics to the total number of students.

Proportion

A proportion is a statement that two ratios are equal. It is often denoted by the symbol "::" or "=".

Types of Proportions

1. Direct Proportion: When two quantities increase or decrease together in the same ratio. For example, the cost of apples is directly proportional to the number of apples purchased.

2. Inverse Proportion: When two quantities increase or decrease in opposite ratios. For example, the time taken to complete a task is inversely proportional to the number of people working on it.

Equivalent Ratios

Equivalent ratios are ratios that have the same value. For example, 1:2, 2:4, and 3:6 are equivalent ratios.

Simplifying Ratios

Ratios can be simplified by dividing both numbers by their greatest common divisor (GCD).

Real-World Applications

Ratios and proportions are used in various real-world applications, such as:

1. Cooking: Measuring ingredients in the right proportions is essential for cooking.

2. Shopping: Comparing prices and quantities of different products involves ratios and proportions.

3. Science: Understanding scientific concepts, such as density and buoyancy, requires an understanding of ratios and proportions.

 

Formulae

1. Ratio: a:b or a/b

2. Proportion: a:b::c:d or a/b = c/d

3. Equivalent Ratios: a/b = c/d

 

CBSE 6_Mathematics_Ratio & Proportion-FAQs

1. What is a ratio?

A ratio is a comparison of two or more numbers.

2. What is a proportion?

A proportion is a statement that two ratios are equal.

3. What are equivalent ratios?

Equivalent ratios are ratios that have the same value.

 

CBSE 6_Mathematics_Ratio & Proportion _Practice Questions

1. Simplify the ratio 12:16.

2. Find the equivalent ratio of 2:3.

3. A recipe requires a ratio of 2:3 of flour to sugar. If you need 200g of flour, how much sugar do you need?

4. A car travels 250km in 5 hours. How far will it travel in 3 hours?

5. A group of friends want to share some candy in the ratio 2:3:5. If they have 50 pieces of candy, how many will each friend get?

CBSE 6_Mathematics_Ratio & Proportion- Worksheet

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CBSE 6_Mathematics_Ratio & Proportion-Test Paper

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