Download Set A of CBSE Class 10 Mathematics Value-Based Questions in PDF format. These questions, designed to promote moral and ethical values, are an integral part of Class 10 Mathematics exams. They are easy to grasp and can significantly boost your scores. You can access chapter-wise VBQs for Class 10 Mathematics, along with the latest and highly useful study materials in line with the latest NCERT books for Class 10 Mathematics and other subjects, all for free on BDASVM. Our materials are tailored to match the latest Class 10 CBSE, NCERT, and KVS syllabus and examination pattern.

For Class 10 Mathematics students, we offer value-based questions with answers for all chapters. These VBQs are crucial for exam preparation and can help you secure good marks.

Explore VBQ questions and answers for all chapters in Class 10 Mathematics based on CBSE and NCERT guidelines. These questions aim to instill morals and values in students and are an important component of Class 10 Mathematics exams. Understanding and mastering these VBQs can lead to better exam performance and higher scores.

**MATHEMATICS CLASS – X**

**Chapter -Arithmetic Progressions**

**Question. A contract on construction job specifies a penalty for delay of completion beyond a certain date as follows: Rs. 200 for the first day, Rs. 250 for the second day, Rs. 300 for the third day, etc. The penalty for each succeeding day being Rs. 50 more than for the preceding day. The contractor delayed the work by 30 days.**

**CONTEXTUAL QUESTION **

**(i)** Calculate, how much money he could have saved had he finished the work on time?

**VALUE BASED QUESTION**

**(ii)** Which values he must possess to finish the work on time?

**Answer: (ii) KEY POINTS**

* Punctuality

* Value for time

* Responsibility

* Teamwork

* Commitment

* Self discipline

**Question. In a school, students thought of planting trees in and around the school to reduce air pollution. It was decided that the number of trees, that each section of each class will plant, will be the same as the class in which they are studying, for e.g. a section of Class I will plant one tree, a section of class II will plant two trees and so on till class XII. There are three sections of each class.**

**CONTEXTUAL QUESTION**

**(i)** How many trees will be planted by the students?

**VALUE BASED QUESTION **

**(ii)** What values (any two) are imbibed by the students in this initiative?

**Answer: (ii) KEY POINTS**

* Respect for environment

* Teamwork

* Responsibility

* Interdependence

* Sharing responsibility

* Participating citizenship

**Question. A sum of Rs. 700 is to be used to give 7 cash prizes to students of a school for community service, in accordance with their contribution towards it. If each prize is Rs. 20 less than its preceding prize, then:**

**CONTEXTUAL QUESTION**

(i) Calculate the value of each of the prizes.

**VALUE BASED QUESTION**

(ii) What do you think must be the qualities of these students who qualified for these prizes?

**Answer:**** (ii) KEY POINTS**

* Compassion

* Sympathy

* Empathy

* Participating citizenship

* Responsibility

* Acceptance

* Respect for others

**Question. As New Yearâ€™s resolution Ritika planed to save from her pocket money everyday. Starting from 5th Jan she decided to save the amount equal to the date of the month. On 30th Jan, she decided to get a gift for their maidâ€™s daughter for Rs. 50 and a birthday present for her grand father for Rs. 100.**

**CONTEXTUAL QUESTION**

(i) What is the amount left with Ritika by the end of the month?

**VALUE BASED QUESTION**

(ii)What values are reflected by Ritikaâ€™s gesture?

**Answer:** **(ii) KEY POINTS**

* Compassion

* Sympathy

* Sharing and caring

* Concern for elders

* Charity

** CHAPTER – SURFACE AREAS AND VOLUMES**

**Question. A teacher distributed an equal amount of ice-cream from a cylindrical tub of height 15cm filled up to the brim, among a group of seven boys and three girls. The entire icecream is filled into cones of height 12cm and diameter 6cm, having hemispherical tops.**

**CONTEXTUAL QUESTION **

(i) Find the radius of the ice-cream tub.

**VALUE BASED**

(ii) What value is being depicted by the teacher?

**Answer:**** (ii) KEY POINTS **

* Celebrating diversity (Gender sensitivity)

* Sharing

**Question. Students of class X were asked to pack 5000 packets of biscuits each of dimension 6 cm x 3cm x 2 cm into boxes each of volume 180cm3 to be distributed in the nearby slum.**

**CONTEXTUAL QUESTION **

(i) Find the number of boxes required.

**VALUE BASED QUESTION**

(ii)What social responsibility has been developed in the child?

**Answer:**** (ii) KEY POINTS **

* Team Work

* Commitment

* Helping the needful

* Compassion

* Empathy

* Charity

* Sharing and caring

**Question. Priyanshu wanted to make a bird-bath for his garden in the shape of a cylinder with a hemispherical depression at one end. The height of the cylinder is 1.4 metre and its radius is 42 cm.**

**CONTEXTUAL QUESTION**

(i)Find the total surface area of the bird-bath.

**VALUE BASED**

(i) What value Priyanshu is depicting?

**Answer:** **(ii) KEY POINTS **

* Caring

* Responsibility towards animals

* Sensitivit

**CHAPTER – COORDINATE GEOMETRY**

**Question. On a sports day, in a rectangular field ABCD, lines were drawn with chalk powder at a distance of 1 m each. 100 flower pots have been placed at a distance of 1m from each other ****along AD, as shown in fig. given below:**

**Question. Anita and Babita started the final race. After 5 minutes, Anita covered 1/10th of the track on the second line along AD, while Babita covered 1/5th of the track on the eighth line along AD after which Anita fell down. Babita then stopped and approached to help Anita.**

**CONTEXTUAL QUESTIONS**

(i) What are the coordinates of A and B?

(ii) How much distance Babita has to run to help Anita?

**VALUE BASED QUESTION **

(iii) What values are reflected by Babitaâ€™s behaviour?

**Answer:**** (iii) KEY POINTS**

* Team work

* Good behaviour

*Helpful

* Selflessness

**Question. On Vanmahotsva day, students of class X were asked to get saplings & develop nursery in the triangular region allotted to them as in the figure given below:**

**CONTEXTUAL QUESTION**

(i) Find the coordinates of the vertices P, Q, R.

(ii) Find the area in which the nursery has been developed.

**VALUE BASED QUESTION**

(iii) What values have been imbibed in the students in this initiative?

**Answer:**** (iii) KEY POINTS**

* Concern for nature & surrounding

* Teamwork

* Responsible citizenship

* Environment sensitivity

**CHAPTER â€“ PROBABILITY**

**Question. Due to some error in production, Suresh a shopkeeper gets a lot of 20bulbs containing 4defective ones. One bulb is drawn at random from the lot and sold.**

**CONTEXTUAL QUESTIONS**

(i) What is the probability that the bulb drawn is the defective one?

(ii) Suppose the bulb drawn in (i) is not defective and is not replaced. Now one bulb is drawn at random from the rest. What is the probability that this bulb is not defective?

**VALUE BASED QUESTION**

(iii) If the customer brings to the notice of the shopkeeper that the drawn bulb was a defective one, he replaces it immediately with the good one. Which values do you think the shopkeeper possesses.

**Answer:** **(iii) KEY POINTS**

* Honesty,

* Responsible behaviour,

* Humble

* Sincerity.

**Question. A carton consists of 100 shirts of which 88 are good, defect free shirts; 8 have minor defects; and 4 have major defects. Jimmy, a trader, will accept & sell the shirts which are good, defect free. But Sujatha, another trader, will only reject the shirts that have major defects & sell the acceptable lot at the same price. One shirt is drawn at random from the carton.**

**CONTEXTUAL QUESTIONS**

What is the probability that

(i) It is acceptable to Jimmy?

(ii) Is acceptable to Sujatha?

**VALUE BASED QUESTION**

(iii)What values do you think distinguish Jimmy as a better human being?

**Answer:** **(iii) KEY POINTS**

* Honesty,

* Responsible behaviour,

* Sincerity

**CHAPTER – APPLICATIONS OF TRIGONOMETRY**

**Question. From the top of the tower 60m high, the angles of depression of the top and bottom of a house are observed to be 45Â° and 60Â° respectively.**

**CONTEXTUAL QUESTION **

(i) Find the height of the house. (take âˆš3 = 1.73)

**VALUE BASED QUESTION **

(ii) A man on the top of the tower observes some people caught in fire on the roof of the house. He rushes to save them. What values are reflected by this act of his?

**Answer:****(ii) KEY POINTS**

* Sensitive

* Concerned

* Empathy

* Compassion

* Responsible citizen

* Proactive