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
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