Are these practice questions for Proportional Reasoning-1 based on the CBSE pattern?

Yes. Every practice question is modeled on the CBSE Class 8 Mathematics exam pattern — including MCQs, assertion-reason questions, and short-answer formats that frequently appear in CBSE papers.

Are the practice questions for Proportional Reasoning-1 free?

Yes. Every chapter includes free practice questions for Class 8 students to get you started.

What types of questions are included?

The practice set for Proportional Reasoning-1 mainly includes MCQs and CBSE-style short-answer questions, with instant feedback on each answer. For full-length textbook practice, use the NCERT Solutions page.

Are the practice questions suitable for board exam preparation?

Yes. The questions test the same concepts and depth that CBSE asks in board exams. After finishing, also solve the NCERT and NCERT Exemplar exercises for Proportional Reasoning-1 for full coverage.

How many practice questions are there for Proportional Reasoning-1?

The number scales with chapter length and concept density. Each chapter typically has 15-50 practice questions across MCQ and short-answer formats.

Proportional Reasoning-1 Class 8 Mathematics Practice Questions with Answers

easy

A car uses 8 litres of petrol to travel 120 km. Applying proportional reasoning, calculate how far it will travel on 22 litres of petrol.

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easy

List the 'terms' of the ratio

11:19

.

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easy

Define the term 'ratio' in mathematics.

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easy

Two rectangles are given. Rectangle A has dimensions 8 cm by 12 cm. Rectangle B has dimensions 10 cm by 15 cm. Justify whether they are geometrically similar.

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easy

Divide ₹1,800 between Aman and Bimal in the ratio

4:5

. Calculate each person's share.

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easy

Solve for the missing number in the proportion:

7:12 :: 42:x

.

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easy

A student claims that if we add 5 to both terms of the ratio

2:3

, the new ratio

7:8

is proportional to the original. Critique this statement and justify your reasoning.

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easy

Examine if the ratios

5:8

and

20:32

are proportional.

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easy

Identify if the ratios

7:8

and

21:25

are proportional. Explain your reasoning.

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easy

Design a floor tile pattern using two colors, blue and white, such that the ratio of blue tiles to white tiles is

5:3

. If a total of 240 tiles are to be used for a room, formulate the calculation to find the number of tiles of each color needed.

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easy

What does the symbol '::' represent when placed between two ratios?

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easy

A recipe that serves 4 people requires 200 g of flour. Calculate the amount of flour needed if the recipe is prepared for only 1 person.

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easy

Propose a ratio of oil to vinegar for a new salad dressing. Then, create a recipe to make a total of 200 mL of this dressing.

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easy

Explain how to check if the ratios

4:10

and

10:25

are proportional.

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medium

A typist can type 450 words in 30 minutes. Calculate the time she will take to type 3150 words, assuming a constant typing speed.

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medium

The cost of 5 kg of apples is ₹450. Calculate the cost of 12 kg of apples.

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medium

Calculate the simplest form of the ratio

90 \text{ cm} : 1.5 \text{ m}

.

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medium

State the condition for two ratios

a:b

and

c:d

to be in proportion using the cross-multiplication rule.

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medium

A cartographer is drawing a map where the scale is 2 cm : 5 km. A rectangular park on the map measures 3 cm by 4.5 cm. Formulate the proportional relationships needed and find the actual area of the park in square kilometers.

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medium

A map is drawn to a scale of

1 : 50,000

. The distance between two towns on the map is 6 cm. Calculate the actual distance between the towns in kilometers.

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medium

A company sells fertilizer in three bag sizes: 5 kg for ₹400, 10 kg for ₹750, and 25 kg for ₹1800. A farmer argues that the pricing is not proportional and therefore not fair for bulk purchasers. a) Critique the farmer's argument by calculating the cost per kg for each bag size. b) Re-design the pricing for the 10 kg and 25 kg bags so that the price per kg becomes proportionally cheaper. Propose new prices that reflect a 10% discount per kg for the 10 kg bag and a 20% discount per kg for the 25 kg bag, compared to the base rate of the 5 kg bag.

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medium

Describe a real-life scenario, other than cooking or map scaling, where maintaining a proportion is critical. Explain what quantities form the ratio and why their proportionality must not be broken.

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medium

Explain what it means to share a profit of ₹500 between two partners in the ratio

2:3

.

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medium

The ratio of boys to girls in a class is

3:4

. If there are 12 boys, calculate the number of girls in the class.

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medium

Two business partners, A and B, invest in a startup in the ratio

4:7

. After a year, they make a profit. Partner B receives ₹9,000 more than Partner A. Justify the total profit made by the startup by setting up and solving a proportional equation.

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medium

Summarize why it is important to use the same units for quantities when forming a proportion. Use an example.

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medium

Two brands of juice are available. Brand A costs ₹96 for a 1.2-litre bottle. Brand B costs ₹120 for a 1.5-litre bottle. Analyze which brand offers better value for money by comparing their unit prices.

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medium

A recipe for a smoothie uses bananas and strawberries in the ratio

2:3

. To make a larger batch, you use 6 bananas. Another student suggests you should use 7 strawberries because the difference in the ratio is 1 (

3-2=1

) and

6+1=7

. Evaluate this reasoning.

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medium

A recipe for a fruit punch requires mixing apple juice and grape juice in the ratio of

5:3

. Explain what this ratio means.

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medium

Create a word problem involving the concept of inverse proportion, using the context of filling a water tank with a number of taps. The problem must be solvable and clearly demonstrate that as one quantity increases, the other decreases.

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medium

Formulate a real-world problem involving sharing a profit of ₹5,000 between two partners, where the final share for one partner is ₹2,000.

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medium

Describe the meaning of the ancient Indian 'Rule of Three' for solving problems involving proportion.

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medium

Recall the first step needed to reduce a ratio to its simplest form.

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medium

A shopkeeper sells two sizes of a juice bottle. A 500 mL bottle costs ₹60, and a 1.2 L bottle costs ₹120. The shopkeeper claims the larger bottle is a better value for money. Critique this claim by comparing the price per unit volume. If the claim is false, propose a new price for the 1.2 L bottle that would make it a demonstrably better value.

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medium

In a school, the ratio of teachers to students is

3:80

. If there are 1200 students in the school, calculate how many teachers are needed to maintain this ratio.

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medium

Summarize the complete procedure for dividing a quantity, for example 80 kg, into two parts in the ratio

3:5

. List and explain each step.

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medium

A city is planning a new rectangular park. The committee has two proposals:

Proposal 1: A park with a length of 200 m and a width of 150 m.
Proposal 2: A park with a length of 240 m and an area 50% larger than Proposal 1's park. Evaluate whether the two proposed parks would be geometrically similar. If not, propose a new width for Proposal 2 that would make it similar to Proposal 1, keeping its length at 240 m.

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hard

An alloy is made by mixing copper and zinc in the ratio

7:3

. The total weight of the alloy is 800 g. (a) Calculate the weight of copper and zinc in the alloy. (b) Determine how much more zinc must be added to the alloy to make the ratio of copper to zinc

7:5

.

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hard

Explain the fundamental difference between changing the terms of a ratio by multiplication versus by addition. Use the ratio

2:3

to illustrate why one maintains proportionality and the other does not.

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hard

Describe how to find the missing term in the proportion

6:11 :: 24:?

.

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hard

A mixture of 28 litres contains milk and water in the ratio

5:2

. If 2 litres of water is added to the mixture, analyze the new ratio of milk to water.

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hard

In a school, the ratio of teachers to students was

1:30

. The school management hires 5 new teachers, which changes the ratio to

1:25

. Evaluate the original number of students and teachers in the school.

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hard

A painter has 2 litres of blue paint and 3 litres of yellow paint. They create two shades of green:

"Forest Green" with a blue to yellow ratio of $5:2$ .
"Lime Green" with a blue to yellow ratio of $1:4$ . Formulate a plan to determine the maximum amount of each shade that can be created separately. Justify which shade can be produced in a larger quantity.

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hard

A recipe for fruit punch requires orange juice, pineapple juice, and ginger ale in the ratio

5:3:2

. A hotel chef needs to make 4 litres of this punch. (a) Calculate the quantity of each ingredient needed in millilitres. (

1 \text{ litre} = 1000 \text{ ml}

) (b) Due to a shortage, the chef only has 1.5 litres of orange juice. Calculate the maximum amount of punch he can make if he maintains the same ratio, and determine the quantities of the other two ingredients he would need.

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hard

Design a three-component alloy using Copper, Zinc, and Tin in the ratio

2:3:5

. The total weight of an initial block of this alloy is 5 kg. You need to create a new 8 kg block of alloy where the amount of Zinc is increased by 20%, while the original ratio of Copper to Tin is maintained. Justify each step in calculating the composition of the new alloy.

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Proportional Reasoning-1Class 8 Mathematics Practice Questions