Understanding the relationship between quantities is an important skill in Mathematics. CBSE Class 8 Maths Chapter 7 Proportional Reasoning - 1 from the Ganita Prakash textbook helps students learn how numbers are compared using ratios, proportions, and different mathematical relationships.
These CBSE Board Class 8 Maths Chapter 7 Proportional Reasoning - 1 MCQs with Answers are designed to help students revise important concepts and practise application-based questions. Each question helps improve calculation skills, logical thinking, and confidence while solving proportion-related problems.
Students can use these chapter-wise MCQs for quick revision before school tests and exams. The questions focus on concept understanding rather than memorising steps, making practice more effective.
For complete preparation, students can also explore more Class 8 MCQs and practise chapter-wise Class 8 Maths MCQs to strengthen their understanding of different Maths topics.
Important Points Before Practicing MCQs
Before solving Chapter 7 Proportional Reasoning - 1 questions, remember these important concepts:
- A ratio is used to compare two quantities of the same type.
- Equivalent ratios represent the same comparison in different forms.
- A proportion shows that two ratios are equal.
- Always check the units before comparing quantities.
- Multiplication and division help find missing values in proportional relationships.
- Understanding the relation between quantities is more important than memorising formulas.
Chapter 7 Proportional Reasoning - 1 Class 8 MCQs with Answers
Practice these Class 8 Maths Chapter 7 Proportional Reasoning - 1 MCQs from Ganita Prakash to revise ratios, proportions, and quantity comparison with answers for better exam preparation.
Q. Which mathematical idea is mainly involved in proportional reasoning?
A. Drawing shapes only
B. Counting numbers randomly
C. Comparing quantities
D. Finding only differences
Answer: C. Comparing quantities
Explanation:
Proportional reasoning focuses on understanding and comparing relationships between different quantities.
Q. The ratio of 30 minutes to 3 hours is:
A. 1 : 6
B. 6 : 1
C. 1 : 3
D. 3 : 5
Answer: A. 1 : 6
Explanation:
3 hours = 180 minutes.
Ratio = 30 : 180 = 1 : 6.
Q. When two ratios represent the same value, they are called:
A. Fractions
B. Equal numbers
C. Proportion
D. Percentages
Answer: C. Proportion
Explanation:
A proportion shows that two ratios are equal.
Q. Find the value of x: 5 : 8 = x : 40
A. 15
B. 20
C. 25
D. 30
Answer: C. 25
Explanation:
8 × 5 = 40, so 5 × 5 = 25.
Q. Which of the following ratios are proportional?
A. 5:7 and 10:14
B. 4:9 and 9:4
C. 3:8 and 6:10
D. 7:11 and 8:12
Answer: A. 5:7 and 10:14
Explanation:
10:14 simplifies to 5:7, so both ratios are equal.
Q. A drawing scale shows 1 cm = 40 km. What actual distance is represented by 8 cm?
A. 280 km
B. 300 km
C. 320 km
D. 360 km
Answer: C. 320 km
Explanation:
8 cm represents 8 × 40 = 320 km.
Q. Reduce the ratio 56:70 to its simplest form.
A. 3:5
B. 4:5
C. 5:6
D. 7:9
Answer: B. 4:5
Explanation:
Dividing both numbers by 14 gives 4:5.
Q. If 6 books cost ₹270, find the cost of 10 books.
A. ₹400
B. ₹450
C. ₹500
D. ₹550
Answer: B. ₹450
Explanation:
Cost of 1 book = ₹45.
Cost of 10 books = ₹450.
Q. Which relationship exists when more workers complete the same work in less time?
A. Direct relationship
B. Equal ratio
C. Inverse relationship
D. Addition relationship
Answer: C. Inverse relationship
Explanation:
When the number of workers increases, the time required decreases.
Q. Solve for x: 8/10 = 20/x
A. 20
B. 25
C. 30
D. 35
Answer: B. 25
Explanation:
8 × x = 10 × 20
8x = 200
x = 25.
Q. A ratio does not have any:
A. Comparison
B. Value
C. Order
D. Unit
Answer: D. Unit
Explanation:
A ratio compares quantities, and the final ratio has no unit.
Q. If 4 pencils cost ₹60, what will be the cost of 12 pencils?
A. ₹150
B. ₹160
C. ₹180
D. ₹200
Answer: C. ₹180
Explanation:
Cost of 1 pencil = ₹15.
Cost of 12 pencils = ₹180.
Q. Which ratio is equivalent to 7:9?
A. 14:18
B. 21:24
C. 28:30
D. 35:40
Answer: A. 14:18
Explanation:
Multiplying both terms of 7:9 by 2 gives 14:18.
Q. If a:b = 4:5 and b:c = 5:8, find a:c.
A. 5:8
B. 4:8
C. 8:5
D. 5:4
Answer: B. 4:8
Explanation:
The value of b is common, therefore a:c = 4:8.
Q. The ratio 27:36 can be written in simplest form as:
A. 2:3
B. 3:4
C. 4:5
D. 5:6
Answer: B. 3:4
Explanation:
Dividing both terms by 9 gives 3:4.
Q. If 25% of a number is 80, find the number.
A. 240
B. 280
C. 320
D. 400
Answer: C. 320
Explanation:
25% means one-fourth.
The number = 80 × 4 = 320.
Q. A proportion represents comparison between:
A. Two equal ratios
B. Two different shapes
C. Two formulas only
D. Two operations
Answer: A. Two equal ratios
Explanation:
A proportion states that two ratios have the same value.
Q. If 12 kg sugar costs ₹600, what is the price of 5 kg sugar?
A. ₹200
B. ₹250
C. ₹300
D. ₹350
Answer: B. ₹250
Explanation:
Cost of 1 kg sugar = ₹50.
Cost of 5 kg = ₹250.
Q. What is the ratio of 1000 metres to 1 kilometre?
A. 100:1
B. 10:1
C. 1:1
D. 1:100
Answer: C. 1:1
Explanation:
1 kilometre = 1000 metres, so both quantities are equal.
Q. Find the fourth proportional of 4, 6, and 20.
A. 20
B. 25
C. 30
D. 35
Answer: C. 30
Explanation:
4:6 = 20:x
4x = 120
x = 30.
Q. If the speed is reduced to half for the same distance, the time taken becomes:
A. Half
B. Double
C. Same
D. Zero
Answer: B. Double
Explanation:
Speed and time are inversely related for a fixed distance.
Q. Which ratio is equal to 9:18?
A. 2:3
B. 1:2
C. 3:5
D. 4:7
Answer: B. 1:2
Explanation:
Dividing both terms by 9 gives 1:2.
Q. Find x if x:24 = 5:8.
A. 10
B. 12
C. 15
D. 18
Answer: C. 15
Explanation:
8x = 120
x = 15.
Q. In a class, the ratio of boys to girls is 3:5. If boys are 18, find the number of girls.
A. 20
B. 25
C. 30
D. 35
Answer: C. 30
Explanation:
3 parts = 18, so 1 part = 6.
Girls = 5 × 6 = 30.
Q. If 8 machines produce 480 items, how many items will 12 similar machines produce?
A. 600
B. 660
C. 720
D. 800
Answer: C. 720
Explanation:
One machine produces 60 items.
12 machines produce 12 × 60 = 720 items.
Q. Ratios should always compare quantities having:
A. Different units
B. Same units
C. Only decimals
D. Only percentages
Answer: B. Same units
Explanation:
For correct comparison, quantities should first be converted into the same unit.
Q. Find x: 10:x = 20:50
A. 20
B. 25
C. 30
D. 35
Answer: B. 25
Explanation:
10/x = 20/50
20x = 500
x = 25.
Q. Proportional reasoning is useful for solving:
A. Only counting questions
B. Real-life comparison problems
C. Only drawing questions
D. Spelling problems
Answer: B. Real-life comparison problems
Explanation:
It helps solve daily-life problems involving comparison and changing quantities.
Q. When two quantities increase together in the same ratio, it represents:
A. Inverse relation
B. No relation
C. Direct relation
D. Difference only
Answer: C. Direct relation
Explanation:
In a direct relationship, both quantities increase or decrease together.
Q. Learning ratios and proportions mainly improves:
A. Mathematical reasoning
B. Drawing skills
C. Writing speed
D. Memorisation only
Answer: A. Mathematical reasoning
Explanation:
Ratios and proportions improve comparison skills and logical problem-solving ability.
Common Mistakes Students Make in Chapter 7 Proportional Reasoning - 1
- Comparing quantities without converting them into the same units.
- Changing the order of numbers while writing ratios.
- Confusing direct and inverse relationships.
- Making calculation mistakes during cross multiplication.
- Memorising steps without understanding proportional relationships.
Chapter 7 Proportional Reasoning - 1 Preparation Strategy
Revise ratio and proportion concepts before solving questions.
- Practice examples from Ganita Prakash Part 1 regularly.
- Understand why quantities increase or decrease together.
- Attempt MCQs without checking answers first.
- Analyse incorrect answers and revise those concepts again.
