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Important Questions and Answers for Class 8 Maths Chapter 7 Proportional Reasoning 2025-26

Q: 1. What are the most important questions to prepare from Class 8 Maths Chapter 7 – Proportional Reasoning for exams?

Focus on MCQs, short answer, long answer, and case-based questions related to proportions, direct and inverse variation, and application scenarios. Prioritize questions that involve calculations, solving real-life problems, and interpreting tables or diagrams from the proportional reasoning class 8 worksheet for higher weightage.

Q: 2. How can I answer long questions on proportional reasoning to score full marks?

Structure your answer in clear, logical steps. Use proper formulae, show calculations, and write a concluding statement with the final answer. Highlight important terms like "direct proportion" or "inverse proportion" for clarity. Include units and underline key words as per the CBSE marking scheme.

Q: 3. Where can I get the important questions Class 8 Maths Chapter 7 Proportional Reasoning PDF with answers?

You can find the important questions class 8 maths chapter 7 proportional reasoning pdf with detailed solutions and stepwise answers. This PDF covers MCQs, extra questions, and long answers, helping you revise and practice effectively for exams.

Q: 4. What high-weightage subtopics should I focus on while preparing important questions from this chapter?

Begin with direct and inverse proportions, then move to word problems involving unitary method, and finally revise tables, graphs, and real-life application questions. Prioritize these subtopics as they frequently appear in important questions class 8 maths chapter 7 proportional reasoning pdf and worksheets.

Q: 5. How should I prepare for MCQ and case-based questions in proportional reasoning class 8?

Practice from proportional reasoning class 8 worksheets and previous year sample papers. Focus on CBSE-style MCQs that check definitions, relationships, and application concepts. For case-based questions, read the passage carefully and extract key data to answer stepwise.

Q: 6. What are some common mistakes students make in proportional reasoning questions and how can I avoid them?

Frequently missed steps include not labeling answers with correct units, skipping working steps, and confusing direct vs inverse variation. Always cross-check calculations and underline reasoning steps in your answers for clear step marking.

Q: 7. Are diagrams, tables, or special definitions needed in Class 8 Maths Chapter 7 important questions?

Yes, questions may require drawing tables or using diagrams to explain relationships. Definitions like direct and inverse proportion should be written clearly. Practice presenting data neatly, as these fetch easy marks in important questions and are part of the NCERT syllabus requirements.

Practice Proportional Reasoning Class 8 Worksheet with Answers for CBSE Exam 2025-26

Important Questions Class 8 Maths Chapter 7 Proportional Reasoning gives you all the help you need for CBSE exams. Find the best proportional reasoning class 8 solutions organised by important topics. This page is designed for Class 8 Maths, focusing on Chapter 7, to show what questions matter most.

This chapter uses simple ideas like ratios and comparisons, so you can answer with full marks. Try our proportional reasoning class 8 worksheet with answers to check your understanding and practise different types of questions. With Vedantu’s Important Questions with Answers, you’ll see clear steps and scoring keywords for every answer.

These important questions highlight key ideas and common exam questions. They make revision quick and easy. Download the important questions class 8 maths chapter 7 proportional reasoning pdf for free and get ready for your test.

Practice Proportional Reasoning Class 8 Worksheet with Answers for CBSE Exam 2025-26

1. Multiple choice questions.

Q1. Which of these ratios is in simplest form?

(a) 20 : 25
(b) 4 : 12
(c) 7 : 15
(d) 18 : 6

Answer: (c) 7 : 15

Q2. Which of the following pairs of ratios are proportional?

(a) 16 : 24 and 2 : 3
(b) 5 : 10 and 10 : 5
(c) 6 : 9 and 9 : 6
(d) 14 : 21 and 2 : 4

Answer: (a) 16 : 24 and 2 : 3

Q3. What is the ratio of width to height of Image D?

(a) 2 : 3
(b) 3 : 2
(c) 1 : 3
(d) 1 : 1

Answer: (b) 3 : 2

Q4. To divide a quantity of 42 in the ratio 4 : 3, the larger share will be:

(a) 18
(b) 21
(c) 24
(d) 28

Answer: (c) 24

Q5. What is the simplest form of 60 : 40?

(a) 6 : 4
(b) 2 : 3
(c) 3 : 2
(d) 4 : 3

Answer: (c) 3 : 2

2. Very Short Answer (VSA).

Q6. What is meant by proportional ratios?

Answer: Ratios are proportional if they simplify to the same value, or if multiplying the means and extremes gives equal products: $a : b :: c : d$ if $a \times d = b \times c$.

Q7. Write the ratio of 500 mL to 2 L in simplest form.

Answer: 500 mL : 2000 mL simplifies to 1 : 4.

Q8. If 3 : 9 = x : 27, find x.

Answer: $3 : 9 :: x : 27$ gives $3 \times 27 = 9 \times x$, so $x = 9$.

Q9. Define simplest form of ratio.

Answer: A ratio is in simplest form when both terms have no common factor except 1.

3. Short Answer Questions.

Q10. Three students mix blue and yellow paints in the ratio 3 : 5 to make green paint. If each prepares 40 mL of paint, how much blue and yellow paint does each use?

Answer: Total parts: $3 + 5 = 8$. Blue paint: $(3/8) \times 40 = 15$ mL. Yellow paint: $(5/8) \times 40 = 25$ mL. Each student uses 15 mL blue and 25 mL yellow paint to make 40 mL green paint in the ratio 3:5.

Q11. If the ratio of sand to cement in a mixture is 3 : 1 and the total mixture is 40 kg, calculate the mass of sand and cement.

Answer: Sand = $(3/4) \times 40 = 30$ kg; Cement = $(1/4) \times 40 = 10$ kg. The mixture has 30 kg sand and 10 kg cement.

Q12. Kesang makes 6 glasses of lemonade with 10 spoons of sugar. If she makes 18 glasses, how much sugar is needed to keep the taste same?

Answer: The ratio is $6:10 :: 18:x$. $6x = 10 \times 18$, $x=30$. Kesang should use 30 spoons of sugar for 18 glasses so the ratio of sweetness remains unchanged.

Q13. Divide ₹4,500 between two people in the ratio 2 : 3. How much does each receive?

Answer: Total parts = 2 + 3 = 5. Each part = ₹4,500 ÷ 5 = ₹900. First person: 2 × ₹900 = ₹1,800. Second person: 3 × ₹900 = ₹2,700.

Q14. The width and height of a rectangle are 90 mm and 60 mm. What is their ratio in simplest form?

Answer: $90:60$; HCF of 90 and 60 is 30. Simplest form: $90 ÷ 30 : 60 ÷ 30 = 3 : 2$.

Q15. The ratio of copper to nickel in a coin is 3:1 by mass. If the coin weighs 7.74 g, what is the mass of copper?

Answer: Parts: $3+1=4$. Each part: $7.74 ÷ 4 = 1.935$ g. Copper = $3 \times 1.935 = 5.805$ g.

4. True or False Questions.

Q16. The ratios 60:40 and 30:20 are proportional.

Answer: True.

Q17. Two numbers in the ratio 1:3 are always equal.

Answer: False.

Q18. To check proportionality, the product of extremes must equal the product of means.

Answer: True.

Q19. A ratio changes when the same number is added to both terms.

Answer: True.

Q20. Dividing a quantity in the ratio 2:3 means splitting into two equal parts.

Answer: False.

3. Fill in the Blanks Questions.

Q21. The HCF of 60 and 40 is ______.

Answer: 20

Q22. The simplest form of the ratio 40:20 is ______.

Answer: 2:1

Q23. If 6:9 :: x:27, then x = ______.

Answer: 18

Q24. $1$ litre = ______ mL.

Answer: 1000

Q25. To convert metre to feet, the factor is ______.

Answer: 3.281

How Proportional Reasoning Helps Students in Class 8 Maths

Building a strong foundation in proportional reasoning empowers students to solve practical problems involving ratios, mixtures, and sharing. Using proportional reasoning class 8 solutions develops logical thinking and supports critical analysis in higher-level maths.

Practice with proportional reasoning class 8 worksheet and proportional reasoning class 8 worksheet with answers boosts understanding for exams. Students become familiar with different question types and real-world uses by working through proportional reasoning class 8 questions and MCQs.

Important questions class 8 maths chapter 7 proportional reasoning pdf and extra questions with answers are great for exam revision. Learners can prepare with proportional reasoning class 8 extra questions and answers pdf or use proportional reasoning class 8 pdf for stepwise problem-solving and efficient practice.

FAQs on Important Questions and Answers for Class 8 Maths Chapter 7 Proportional Reasoning 2025-26

1. What are the most important questions to prepare from Class 8 Maths Chapter 7 – Proportional Reasoning for exams?

Focus on MCQs, short answer, long answer, and case-based questions related to proportions, direct and inverse variation, and application scenarios. Prioritize questions that involve calculations, solving real-life problems, and interpreting tables or diagrams from the proportional reasoning class 8 worksheet for higher weightage.

2. How can I answer long questions on proportional reasoning to score full marks?

Structure your answer in clear, logical steps. Use proper formulae, show calculations, and write a concluding statement with the final answer. Highlight important terms like "direct proportion" or "inverse proportion" for clarity. Include units and underline key words as per the CBSE marking scheme.

3. Where can I get the important questions Class 8 Maths Chapter 7 Proportional Reasoning PDF with answers?

You can find the important questions class 8 maths chapter 7 proportional reasoning pdf with detailed solutions and stepwise answers. This PDF covers MCQs, extra questions, and long answers, helping you revise and practice effectively for exams.

4. What high-weightage subtopics should I focus on while preparing important questions from this chapter?

Begin with direct and inverse proportions, then move to word problems involving unitary method, and finally revise tables, graphs, and real-life application questions. Prioritize these subtopics as they frequently appear in important questions class 8 maths chapter 7 proportional reasoning pdf and worksheets.

5. How should I prepare for MCQ and case-based questions in proportional reasoning class 8?

Practice from proportional reasoning class 8 worksheets and previous year sample papers. Focus on CBSE-style MCQs that check definitions, relationships, and application concepts. For case-based questions, read the passage carefully and extract key data to answer stepwise.

6. What are some common mistakes students make in proportional reasoning questions and how can I avoid them?

Frequently missed steps include not labeling answers with correct units, skipping working steps, and confusing direct vs inverse variation. Always cross-check calculations and underline reasoning steps in your answers for clear step marking.

7. Are diagrams, tables, or special definitions needed in Class 8 Maths Chapter 7 important questions?

Yes, questions may require drawing tables or using diagrams to explain relationships. Definitions like direct and inverse proportion should be written clearly. Practice presenting data neatly, as these fetch easy marks in important questions and are part of the NCERT syllabus requirements.