Are these practice questions for Proportional Reasoning-2 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-2 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-2 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-2 for full coverage.

How many practice questions are there for Proportional Reasoning-2?

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-2 Class 8 Mathematics Practice Questions with Answers

easy

Design a fruit punch recipe using orange juice, pineapple juice, and cranberry juice in the ratio

5:3:2

. You have only

750

mL of pineapple juice. Formulate the exact quantities of orange and cranberry juice needed and calculate the total volume of the punch you can create.

Try solving it in your notebook first, then check the solution.

easy

Define direct proportion between two quantities.

Try solving it in your notebook first, then check the solution.

easy

Explain the concept of 'parts' when dividing a whole quantity in a given ratio. For a ratio of

3:4

, how many total parts are there and what fraction does each number in the ratio represent?

Try solving it in your notebook first, then check the solution.

easy

Explain the meaning of a Representative Fraction (RF) of

1:50,000

on a map.

Try solving it in your notebook first, then check the solution.

easy

A monthly family budget is ₹45,000. The expenses are for Food (₹15,000), Rent (₹12,000), Education (₹9,000), and Savings (₹9,000). To represent this data in a pie chart, calculate the central angle for the 'Food' category.

Try solving it in your notebook first, then check the solution.

easy

A recipe for a fruit punch requires orange juice, pineapple juice, and lemon juice in the ratio

7:4:1

. Calculate the simplest form of this ratio.

Try solving it in your notebook first, then check the solution.

easy

Calculate the cost of 15 notebooks if 6 notebooks cost ₹180.

Try solving it in your notebook first, then check the solution.

easy

Calculate how to divide a 90-meter rope into three pieces in the ratio

2:3:4

.

Try solving it in your notebook first, then check the solution.

easy

Describe the steps to simplify a ratio with multiple terms, such as

12:18:30

, to its simplest form.

Try solving it in your notebook first, then check the solution.

easy

What does a ratio with more than two terms, such as

a:b:c

, represent?

Try solving it in your notebook first, then check the solution.

easy

Summarize the process of finding the unknown term in a proportion like

5:15 :: 8:x

.

Try solving it in your notebook first, then check the solution.

easy

Define inverse proportion between two quantities.

Try solving it in your notebook first, then check the solution.

easy

A farmer observes that if 10 workers can harvest a field in 6 days, then 20 workers can harvest the same field in 3 days. Justify whether this relationship represents a direct proportion, an inverse proportion, or neither.

Try solving it in your notebook first, then check the solution.

medium

Create a word problem involving inverse proportion where the initial number of people is 15, the initial duration is 20 days, and the final number of people is 25. Solve the problem you created.

Try solving it in your notebook first, then check the solution.

medium

Describe the general method for dividing a given quantity

Q

in a ratio with multiple terms, such as

a:b:c:d

. List the formula for calculating the value of each part.

Try solving it in your notebook first, then check the solution.

medium

Recall the formula used to find the quantity of the first part when a total quantity

T

is divided in the ratio

a:b:c

.

Try solving it in your notebook first, then check the solution.

medium

The angles of a quadrilateral are in the ratio

2:3:5:8

. Solve for the measure of each angle.

Try solving it in your notebook first, then check the solution.

medium

Describe in detail the steps to calculate the central angles required to create a pie chart for data presented in a ratio. For instance, if the ratio of students preferring three different sports (Cricket, Football, Tennis) is

2:3:4

.

Try solving it in your notebook first, then check the solution.

medium

Design a one-day school trip budget for 60 students. The costs must be allocated in the ratio of Transport : Food : Entry Fees : Miscellaneous as

5:4:2:1

. The transport company charges ₹150 per student. Based on this information, create the full budget, calculating the cost for each category and the total cost of the trip.

Try solving it in your notebook first, then check the solution.

medium

Two friends, Aryan and Bhuvan, are paid a total of ₹1500 for completing a job together. Aryan worked for 6 hours and Bhuvan worked for 9 hours. Aryan claims they should split the money equally (₹750 each). Bhuvan argues the pay should be proportional to the hours worked. Evaluate both claims and determine the fairest method of payment, calculating the amount each would receive.

Try solving it in your notebook first, then check the solution.

medium

On a map, the scale is given as

1:2,500,000

. If the distance between two cities on the map is measured to be

12

cm, calculate the actual geographical distance between them in kilometers.

Try solving it in your notebook first, then check the solution.

medium

Two maps of a country are available. Map A has a scale of

1:5,000,000

and Map B has a scale of

1:10,000,000

. Evaluate which map would show more detail of a specific city and justify your answer.

Try solving it in your notebook first, then check the solution.

medium

Compare the following scenarios and analyze whether the related quantities are in direct or inverse proportion: (i) The number of students in a class and the amount of chalk needed. (ii) The number of pipes filling a tank and the time taken to fill the tank. (iii) The distance covered by a train and the time taken, if its speed is constant.

Try solving it in your notebook first, then check the solution.

medium

Analyze if the quantities

x

and

y

in the table are in inverse proportion. Justify your answer.

$x$	8	16	4	32
$y$	10	5	20	2.5

Try solving it in your notebook first, then check the solution.

medium

State the condition required for two ratios,

p:q

and

r:s

, to be proportional.

Try solving it in your notebook first, then check the solution.

medium

A chef states, "To make my signature sauce, I use 2 parts tomato to 3 parts cream. If I decide to use 4 cups of tomato, I must use 5 cups of cream because I added 2 to each part." Critique the chef's reasoning and explain the correct method.

Try solving it in your notebook first, then check the solution.

medium

A survey was conducted among 180 students about their favorite sport. The results were: Cricket (75 students), Football (60 students), Basketball (30 students), and Tennis (15 students). To create a pie chart for this data, analyze the data and calculate the central angles for all four sports.

Try solving it in your notebook first, then check the solution.

medium

A car travels a certain distance in 4 hours at a speed of

60

km/h. If the speed is increased to

80

km/h, calculate the time it will take to cover the same distance.

Try solving it in your notebook first, then check the solution.

medium

Identify if the following situations represent direct or inverse proportion. Explain your reasoning for each. (a) The number of workers and the time taken to finish a job. (b) The distance travelled by a car and the amount of petrol it consumes.

Try solving it in your notebook first, then check the solution.

medium

The data for a school's budget allocation is: Library (20%), Sports (30%), Academics (40%), and Maintenance (10%). A student created a pie chart with the following central angles: Library (

90^\circ

), Sports (

108^\circ

), Academics (

144^\circ

), Maintenance (

18^\circ

). Critique the student's work, identify the errors, and calculate the correct angles.

Try solving it in your notebook first, then check the solution.

medium

12 workers can build a wall in 10 days. If the work needs to be completed in 8 days, solve for how many more workers must be hired. Assume all workers work at the same rate.

Try solving it in your notebook first, then check the solution.

medium

Summarize the key differences between direct and inverse proportion. Provide one real-life example for each and explain why it fits the definition.

Try solving it in your notebook first, then check the solution.

medium

Explain how you would determine if two quantities,

x

and

y

, are in inverse proportion by looking at a table of their corresponding values. What constant relationship would you check for?

Try solving it in your notebook first, then check the solution.

hard

Pump A can fill a water tank in 4 hours. Pump B can fill the same tank in 6 hours. A third pump, Pump C, can empty the full tank in 3 hours. Formulate an expression for the fraction of the tank filled in one hour if all three pumps are operated simultaneously. If the tank is initially empty, will it ever be filled? Justify your answer with calculations.

Try solving it in your notebook first, then check the solution.

hard

You need to complete a project requiring 120 units of work in exactly 30 days. You can hire 'senior' workers who complete 1 unit of work per day and 'junior' workers who complete 0.5 units of work per day. The cost is ₹800/day for a senior worker and ₹500/day for a junior worker. Design two possible teams (a mix of workers) that can complete the project on time. Evaluate the total cost for each team and justify which team you would hire.

Try solving it in your notebook first, then check the solution.

hard

Pipe A can fill a tank in 6 hours, and Pipe B can fill the same tank in 9 hours. If both pipes are opened together, solve for the total time it will take to fill the tank completely.

Try solving it in your notebook first, then check the solution.

hard

A construction team of 12 workers can build a wall in 10 days, working 8 hours a day. Formulate an equation to find the number of days (

D

) it would take a team of 10 workers to build the same wall if they work only 6 hours a day. You do not need to solve the equation.

Try solving it in your notebook first, then check the solution.

hard

A problem states: 'If 10 workers can build a wall in 6 days, how long will 15 workers take?' Explain step-by-step how you would identify the type of proportion involved and then describe the method to find the solution. You do not need to perform the final calculation.

Try solving it in your notebook first, then check the solution.

hard

A garrison has provisions for 400 soldiers for 31 days. After 27 days, 160 soldiers leave the garrison. Solve for how many extra days the remaining provisions will last for the remaining soldiers.

Try solving it in your notebook first, then check the solution.

hard

An amount of ₹7,200 is to be distributed among three friends, Aman, Bhuvan, and Charan, in the ratio of their ages. If their ages are 12 years, 15 years, and 18 years respectively, calculate the amount each friend receives.

Try solving it in your notebook first, then check the solution.

hard

A student argues that if you have two quantities,

x

and

y

, and as

x

increases,

y

also increases, then they must be in direct proportion. Justify whether this statement is always true. Propose a counterexample if it is false.

Try solving it in your notebook first, then check the solution.

hard

A survey of 180 students about their favorite hobby gave the following results: Reading (45 students), Sports (60 students), Music (30 students), and Painting (45 students). A pie chart was drawn, but the labels and angles were mixed up. The slices had angles

90^\circ, 120^\circ, 60^\circ, 90^\circ

. Critique the situation. Match the correct angle to each hobby, justifying your process. Then, propose a change in the number of students for one hobby that would make all four central angles different, while keeping the total number of students at 180.

Try solving it in your notebook first, then check the solution.

hard

A bronze statue weighing 120 kg is made of an alloy of Copper, Zinc, and Tin in the ratio

13:8:3

. Analyze the composition and calculate the weight of each metal in the statue. Then, calculate how much more Zinc must be added to the mixture to make the ratio of Copper to Zinc

1:1

.

Try solving it in your notebook first, then check the solution.

hard

Create a plausible, real-world scenario where three quantities are in the ratio

1:2:5

and the total of the quantities is 80.

Try solving it in your notebook first, then check the solution.

hard

A cartographer is designing a map of a rectangular national park that is 120 km long and 75 km wide. The map must fit on a sheet of paper that is 40 cm long and 30 cm wide, leaving a margin of at least 2.5 cm on all sides. Propose a suitable Representative Fraction (RF) for the map and justify your choice.

Try solving it in your notebook first, then check the solution.

Proportional Reasoning-2Class 8 Mathematics Practice Questions