CBSE Class 10 Mathematics Quadratic Equations VBQs Set 01

Official CBSE VBQs for Class 10 Mathematics

Explore authentic value-based practice materials through the CBSE Class 10 Mathematics Quadratic Equations VBQs Set 01. Tailored for Class 10 learners, utilizing these Mathematics VBQs ensures thorough preparation and strengthens moral reasoning skills before final CBSE evaluations.

Competency-Based Practice for Mathematics

Navigate directly to the solved Mathematics Value Based Questions using the digital viewer below. Each practice set includes detailed solutions, allowing students to instantly cross-check their work and understand the ethical dimensions of the topic.

VALUE BASED QUESTIONS

Class: X

Subject: Mathematics

Topic: Quadratic Equations

1. A charity trust decides to build the prayer hall having a carpet area of 300 sq. m, with its length one more than twice its breadth.

Contextual question 

Find the length and breadth of the hall.

Value based Question: 

What values do the students imbibe from the charity trust?

Key Points:

* Helping tendency

* Thoughtfulness

* Social responsibility

2. John and Jivanthi together have 45 marbles. Both of them lost 5 marbles, and the product of the number of marbles they now have is 124.

Contextual question 

Find out how many marbles had to start with.

Value based Question: 

What values do the student should possess so that they safe –guard their belongings

Key Points:

* Responsibility

* Value for money

* Self-discipline 

3. A tourist with Rs.300, calculating that he could spend Rs.x everyday on his holidys. He spent Rs.(x+10) per day and had nothing left 5 days before the end of his holidays.
 
Contextual question 
 
Calculate x.
 
Value based Questions:
 
Which values should the tourist possess in-order to finish the holidays using only Rs.300.
 
Key Points:
 
*  Value for money
*  Responsibility
*  Careful planning
*  Self-discipline
 
4. The angry Arjun carried some arrows for fighting with Bhishma, with half the arrows he cut down the arrows thrown by Bhishma on him and with six other arrows he killed the rath driver of Bhishma. With one arrow each he knocked  down respectively the rath, flag and the bow of Bhishma. Finally with one more than four times the square root of arrows he laid Bhishma unconscious on an arrow bed.
 
Contextual question
 
Find the total no. of arrows Arjun had.
 
Value based Questions: 
 
What are the moral values learn from Arjun?
 
Key Points:
 
*Dharma
*Concern for elders
* Obidience
 
5. A lake is surrounded by birds on all sides. A lotus flower is seen ½ m above the water level. With the onset of the mind, the lotus sinks in the wind, the lotus
sinks in the water 2m away from its place slowly.
 
Contextual question 
 
How deep is the water in the lake?
 
Value based Questions: 
 
What values are imbibed from the nature?
 
Key Points:
 
*Adjustability
* Doing ones duty
* Preparedness
 

Very Short Answer type Questions

Question. A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train.
Answer : 40 km/h

Question. Find the roots of the quadratic equation : x - (1/4) = 3, x ≠ 0
Answer : 3 - √13 /2,3 + √13/2

Question. Sum of the areas of two squares is 468 m2. If the difference of their perimeters is 24 m, find the sides of the two squares.
Answer : 18 m, 12 m

Question. Find the roots of the quadratic equation : 100 x2 – 20x + 1 = 0.
Answer : 1/10, 1/10

Question. Find the nature of the roots of the quadratic equation 2x2 – 3x + 5 = 0. If the real roots exist, find them.
Answer : Real roots do not exist

Question. Find the values of k for each of the quadratic equation kx (x – 2) + 6 = 0, so that they have two equal roots.
Answer : k = 6

Question. Represent the following situation in the form of quadratic equation : A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train.
Answer : x2 – 8x – 1280 = 0, where x (in km/h) is the speed of the train.

Question. In a class test, the sum of Shefali’s marks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210. Find her marks in the two subjects.
Answer : Marks in mathematics = 12, marks in English = 18;
or, Marks in mathematics = 13, marks in English = 17

Question. Represent the following situation in the form of quadratic equation : The area of a rectangular plot is 528 m2. The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot.
Answer : 2x2 + x – 528 = 0, where x is breadth (in metres) of the plot.

Question. The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.
Answer : 5 cm and 12 cm

Question. The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.
Answer : 18, 12 or 18, –12

Question. Find the roots of the quadratic equation : 1/x+4 - 1/x-7 = 11/30. x ≠ -4, 7.
Answer : 1, 2

Question. An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is 11km/h more than that of the passenger train, find the average speed of the two trains.
Answer : Speed of the passenger train = 33 km/h, speed of express train = 44 km/h

Question. A motor boat whose speed is 18 km/h in still water takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream.
Answer : 6 km/h.

Question. Find the roots of the quadratic equation: √2x2 + 7 x + 5 √2 = 0.
Answer : - (5/√2), -√2

Free study material for Mathematics

VBQs with Answers for Class 10 Mathematics Chapter 04 Quadratic Equations

Moral Practice Exercises: Class 10 Mathematics Chapter 04 Quadratic Equations

Review important VBQs for Chapter 04 Quadratic Equations tailored for Class 10 learners. These structured exercises highlight core values and practical concepts essential for high-scoring exam performance.

NCERT-Aligned VBQ Solutions

Built using the official NCERT book for Class 10 Mathematics, these solved problem sets provide reliable guidance. Cross-reference your answers with our expert-verified keys for complete conceptual clarity.

Complete Your Chapter Revision

Practicing value-based problems regularly connects abstract concepts to everyday experiences, ensuring stronger performance across school examinations and board assessments.

FAQs

Where can I find 2026-27 CBSE Value Based Questions (VBQs) for Class 10 Mathematics Chapter 04 Quadratic Equations?

The latest collection of Value Based Questions for Class 10 Mathematics Chapter 04 Quadratic Equations is available for free on StudiesToday.com. These questions are as per 2026 academic session to help students develop analytical and ethical reasoning skills.

Are answers provided for Class 10 Mathematics Chapter 04 Quadratic Equations VBQs?

Yes, all our Mathematics VBQs for Chapter 04 Quadratic Equations come with detailed model answers which help students to integrate factual knowledge with value-based insights to get high marks.

What is the importance of solving VBQs for Class 10 Chapter 04 Quadratic Equations Mathematics?

VBQs are important as they test student's ability to relate Mathematics concepts to real-life situations. For Chapter 04 Quadratic Equations these questions are as per the latest competency-based education goals.

How many marks are usually allocated to VBQs in the CBSE Mathematics paper?

In the current CBSE pattern for Class 10 Mathematics, Chapter 04 Quadratic Equations Value Based or Case-Based questions typically carry 3 to 5 marks.

Can I download Mathematics Chapter 04 Quadratic Equations VBQs in PDF for free?

Yes, you can download Class 10 Mathematics Chapter 04 Quadratic Equations VBQs in a mobile-friendly PDF format for free.