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Ratio and Proportion

Ratio and Proportion

Chapter 5: JNVST Class 9 Mathematics Ratio and Proportion

Sharing a chocolate with your siblings equally or comparing the total number of boys and girls in a class are good examples of the JNVST Class 9 Mathematics Ratio and Proportion chapter. Therefore, learning this topic can help solve a lot of daily problems. Thus, this chapter is important for the Navodaya Class 9 Mathematics exam. 


JNVST Class 9 Mathematics Ratio and Proportion helps students compare numbers, find missing values, and solve word problems. Moreover, this chapter builds a strong base for many other mathematics topics. Therefore, Veda Academy, the best coaching for Navodaya Vidyalaya  Class 9, offers JNV Notes, Mock Tests, and Model Papers. Students can practise for their JNV exams easily with these practise papers, as they are prepared according to the JNV syllabus. 

Students should learn the basic rules first. Then, they should solve easy questions before moving to harder ones. With regular practice, students can improve their speed and accuracy in the JNVST Class 9 Mathematics Ratio and Proportion exam.

Ratio and Proportion PDF

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What is Ratio?

A ratio shows the comparison between two quantities of the same kind. Ratio compares them by division, showing how much of one there is compared to the other. Ratio is depicted by “:”.


For example, 4 : 6. Here, 4 and 6 are compared. We can also write it as 4/6. The ratio 4 : 6 can be simplified by dividing both numbers by 2. So 4 : 6 = 2 : 3. Thus, 2 : 3 is the simplest form. Students preparing for Navodaya Class 9 Mathematics should understand this basic idea clearly. It will help them solve many questions quickly. 


Also Check: Navodaya Class 9 Admission Form 2027 Step-by-Step Process 

What is Proportion?

When the ratios are equal, it is considered a proportion. As we have already given an example of 2:3 = 4:6. Both ratios have the same value. So they make the same proportion. They can also be written as 2/3 = 4/6. To solve a missing value, students can use cross multiplication.


For example: 3 : 5 = 6 : x

Cross multiply: 3 × x = 5 × 6

Therefore: 3x = 30

So: x = 10


This method is useful in the Navodaya Class 9 Mathematics exam because it helps students solve questions in fewer steps. By solving multiple mock tests and Navodaya Class 9 important questions students can score well in the questions from the JNVST Class 9 Mathematics Ratio and Proportion exam.


Important JNVST Class 9 Mathematics Ratio and Proportion Exam

Below is the list of formulas that are important for the Navodaya Class 9 Mathematics exam:


Basic Proportion

a/b = c/d

Cross Multiplication

a×d = b×c

Invertendo

b/a = d/c

Alternendo

a/c = b/d

Componendo

(a+b)/b = (c+d)/d

Dividendo

(a-b)/b = (c-d)/d

Componendo & Dividendo

(a+b)/(a-b) = (c+d)/(c-d)

Direct Variation

A ∝ B

Direct Variation Equation

A = kB

Constant of Variation

k = A/B

Inverse Variation

A ∝ 1/B

Inverse Variation Equation

A = k/B

Ratio to Percentage 

Percentage = (a/b) × 100

Ratio Multiplication Property

a/b = (m×a)/(m×b), where m ≠ 0

Ratio Division Property

a/b = (a ÷ m)/(b ÷ m), where m ≠ 0

Ratio of Two Fractions

(a/b):(c/d) = (a/b)/(c/d)

Simplified Ratio of Two Fractions

(a/b):(c/d) = ad:bc

Multiplication of Two Ratio

(a/b)×(c/d) = ac/bd


Also Check: How to Download Navodaya Class 9 Admit Card 2027 Online 

Important Concepts to Focus For JNVST Class 9 Mathematics Ratio and Proportion Exam

The students should know these three steps first, learn each rule, next, solve examples. Finally, practise Navodaya Class 9 important questions. With the help of these important concepts, students should focus on these concepts while studying JNVST Class 9 Mathematics Ratio and Proportion:

  • Meaning of ratio

  • Simplest form of a ratio

  • Equivalent ratios

  • Comparison of quantities

  • Meaning of proportion

  • Finding an unknown value

  • Cross multiplication

  • Direct proportion

  • Word problems based on ratio

  • Word problems based on proportion 

Study with Veda Academy the best coaching for Navodaya Vidyalaya  Class 9

Finding the best online classes for Navodaya Vidyalaya  Class 9 can make preparation easier. Veda Academy provides online learning support for students preparing for the Navodaya entrance exam. The academy offers study materials prepared according to the JNV Syllabus. Students can use chapter-wise notes, practice questions, mock tests, previous year questions, and other learning resources.


Moreover, Veda Academy helps students study important concepts in a simple way. Lessons can be revised again whenever needed. Therefore, students can learn at their own pace.

For students searching for the best coaching for Navodaya Vidyalaya  Class 9, Veda Academy provides structured online preparation. Its resources cover important subjects and help students practise regularly.


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