Important Questions for Class 8 Maths Chapter 1: Proportional Reasoning 1 with Answers

Proportional Reasoning is one of the most important topics in Class 8 Mathematics. It helps students understand how two quantities are related and how one quantity changes when another changes. This concept is widely used in everyday situations such as calculating discounts, reading maps, adjusting recipes, finding speed, and solving business-related problems.

Practising important questions is one of the best ways to prepare for school exams. The questions below cover different types of problems, including ratios, proportions, scaling, mixtures, maps, and real-life applications.

Class 8 Maths Chapter 1 Important Questions with Answers

Practising Class 8 Maths Chapter 1 Important Questions with Answers is one of the best ways to build a strong understanding of proportional reasoning. Review the answers carefully to understand the correct approach and identify the areas where you need more practice.

Q1. What is the missing number in the proportion 8 : 10 = ? : 25

A. 16
B. 15
C. 12
D. 20

Answer: D. 20

Q2. A recipe uses 250 g of flour to make 10 cookies. How much flour is needed for 18 cookies?

A. 400 g
B. 450 g
C. 360 g
D. 225 g

Answer: B. 450 g

Q3. Are the ratios 4 : 5 and 8 : 10 proportional?

A. Yes
B. No
C. Not enough information
D. They are not in simplest form

Answer: A. Yes

Q4. If an image has a ratio of 3 : 2, which of the following ratios is not similar?

A. 6 : 4
B. 12 : 8
C. 9 : 6
D. 4 : 3

Answer: D. 4 : 3

Q5. A mixture contains 3 parts sugar and 7 parts flour. If the total mixture weighs 50 kg, how much flour is there?

A. 30 kg
B. 40 kg
C. 35 kg
D. 25 kg

Answer: C. 35 kg

Q6. What is the simplest form of the ratio 72 : 96?

A. 6 : 8
B. 3 : 4
C. 2 : 3
D. 4 : 3

Answer: B. 3 : 4

Q7. The ratio of acid to water in a solution is 1 : 5. If the total solution is 240 mL, how much acid is present?

A. 40 mL
B. 50 mL
C. 30 mL
D. 60 mL

Answer: A. 40 mL

Q8. If 12 glasses of lemonade require 20 spoons of sugar, how many spoons are needed for 36 glasses?

A. 60
B. 50
C. 55
D. 40

Answer: A. 60

Q9. A school has 240 students and 12 teachers. What is the ratio of students to teachers?

A. 12 : 240
B. 240 : 12
C. 1 : 20
D. 20 : 1

Answer: B. 240 : 12 (20 : 1 in simplest form)

Q10. If 5 workers complete a task in 6 days, how many workers are needed to finish it in 3 days?

A. 10
B. 8
C. 12
D. 15

Answer: A. 10

Q11. Prashanti and Bhuvan invested ₹75,000 and ₹25,000 respectively. If the total profit is ₹4,000, what is Prashanti's share?

A. ₹1,000
B. ₹3,000
C. ₹2,000
D. ₹1,500

Answer: B. ₹3,000

Q12. If the ratio of sand to cement is 3 : 1 and the total mixture weighs 40 kg, how much sand is there?

A. 20 kg
B. 30 kg
C. 15 kg
D. 25 kg

Answer: B. 30 kg

Q13. Which pair of ratios is proportional?

A. 60 : 40 and 30 : 20
B. 60 : 40 and 40 : 20
C. 30 : 20 and 60 : 60
D. 90 : 60 and 40 : 20

Answer: A. 60 : 40 and 30 : 20

Q14. If one image has a ratio of 4 : 3 and another has 8 : 6, then they are:

A. Not proportional
B. Proportional
C. Equal in size
D. Distorted

Answer: B. Proportional

Q15. On a map, 1 cm represents 50 km. Two cities are 7.2 cm apart on the map. If another map uses 1 cm = 40 km, what will be the new distance between the cities?

A. 8.0 cm
B. 9.0 cm
C. 6.0 cm
D. 7.2 cm

Answer: B. 9.0 cm

Important Topics to Revise

Before your exam, make sure you are comfortable with these concepts:

• Ratios and proportions

• Simplifying ratios

• Direct proportion

• Unitary method

• Scaling of maps and images

• Mixture problems

• Profit sharing

• Real-life applications of proportional reasoning

Important Questions for Class 8 Maths Chapter 1 PDF Download

Students can download the Important Questions for Class 8 Maths Chapter 1 – Proportional Reasoning 1 PDF using the link given below. The PDF contains important exam-oriented questions with detailed answers, step-by-step solutions, and helpful hints to make learning easier. It is designed to strengthen your understanding of ratios and proportions, improve problem-solving skills, and help you prepare confidently for school exams. Whether you're revising before a test or practising at home, this PDF serves as a valuable resource for quick revision and effective exam preparation.

Download the Important Questions for Class 8 Maths Chapter 1 PDF

Preparation Tips for Class 8 Maths Chapter 1 Important Questions

Preparing for Class 8 Maths Chapter 1 Important Questions with Answers becomes much easier when you follow a consistent study plan. Use these tips to strengthen your understanding of Proportional Reasoning 1 and perform well in your exams:

• Understand the basic concepts of ratios and proportions before solving questions.

• Practise the Proportional Reasoning 1 Class 8 Maths Important Questions with Answers regularly to improve speed and accuracy.

• Use the unitary method to solve application-based and word problems.

• Solve real-life questions on maps, mixtures, recipes, and profit sharing to strengthen your concepts.

• Check your calculations carefully to avoid simple mistakes.

• Revise important formulas and concepts before every test.

• Solve previous years' question papers and sample papers to become familiar with the exam pattern.

• Go through the answers after attempting each question to understand the correct method and improve your problem-solving skills.

Proportional Reasoning is an important topic in Class 8 Maths that helps students solve problems involving ratios, proportions, and real-life situations. Regular practice of these important questions will improve your understanding of the chapter and strengthen your problem-solving skills. 

Make sure you revise the basic concepts, practise different question types, and learn from your mistakes. With consistent practice, you'll be well prepared to score good marks in your Class 8 Maths examinations.