CBSE Class 10 Mathematics Value Based Questions Set E

VALUE BASED QUESTIONS

Question. Amita was given a test in mathematics by her tutor. Square of the actual marks scored by her was 9 times the marks reported by her to her parents.If the actual marks scored were 10 less than the score reported by her to the parents,then
(i) find the actual score of Amita. 
(ii) Which value(s) were flouted Amita by reporting higher score to her parents.
(Values- Honesty,obedience and sincerity)

Question. Sham was late by 5 minutes in joing his duty on the first working day. On the second day,he was late by 10 minutes, on third day by 15 minutes and so on. After 25 working days he was shunted out of the job.

(i) Find the total working time avoided by sham.
Answer: 27 hour 5 minutes

(ii) Was the management justified in dismissing Sham?
Answer: Yes ,the management was fully justisfied in dismissing Sham as he was not punctual and wasted a lot of working time.Because of indiscipline he lost his job.

Question. It was required to plant trees along the sides of a quadrilateral touching a circle as shown in the figure.Distance between consecutive trees was to be kept same throughout.Two gardeners Ram and Sham were appointed by the contractor to complete the job. Ram was allotted the sides PS and QR and Sham,the other two sides.When the job was completed Ram was paid 10% more than what was paid to sham.

(i) Who planted more trees , Ram or Sham? R
Answer:  Both Ram and Sham planted equal number of trees as PS + QR = PQ +SR.

(ii) Comment on the dealings of the contractor.
Answer:  Behaviour of contractor is not justified.
Both should have been paid the same amount. Contractor is partial and irrational.

Question. A straight highway leads to the foot of a tower. A watchman standing at the top of the tower observes acar at an angle of depression of 30° , which is approaching the foot of the tower with a uniform speed.Two minutes later the angle of depression was found to be 60°.

The watchman suspects that some terrorists are approaching the tower. It needs half a minute for the watchman to inform the security staff to be on the alert.

(i) How much time the car will take to reach he foot of the tower.
Answer: one minute )

(ii) Will the security staff be able to save the tower from the terrorists.
Answer: Yes

Question. A shopkeeper stopped using plastic bags & asked his customers to bring their own carry bags due to which his sales reduced by 20 units. If the square of new sales reduced by 400 gives 60 times the original sales, find his original sale.(Ans. , original sale = 100 units)
i. Why should we ban plastic bags?
ii. What steps can be taken in order to ban plastic bags?
iii. Which trait of shopkeeper’s personality is depicted here?
Answer:  i Plastic is a non-biodegradable material and causes more pollution. So, its use should be restricted.
i. We should use bags or any other substitute for plastic bags.
ii. Since the shopkeeper is working for the benefit of society on the cost of sales therefore so he is socially active and caring.)

Question. From your pocket money, you save Rs 1 on day 1, Rs 2 in next day and so on. What will you save in the month march 2008.
(i) Which mathematical concept is used here?
Answer: -Arithmetic progression

(ii) What is the value depicted in the above problem?
Answer:  Saving

Question. The class X students of a secondary school in Krishi nagar have been allotted a rectangular plot of land for their gardening activity .Saplings of Gulmohar are planted on the boundary at a distance of 1m .

from each other. There is a triangular grassy lawn in the plot as shown in the following figure. The students are to sow seeds of flowering plants on the remaining area of the plot.

(i) Taking A as origin , find the coordinates of the vertices of the triangle.
Answer: The coordinates of point P, Q, and Rare(4,6),(3,2),and(6,5)respectively.

(ii) What will be the coordinates of the vertices of Δ PQR if C is the origin?
Answer: Taking C as origin, CB as x-axis, and CD as y-axis, the coordinates of vertices P,

Q, and R are (12,2),(13,6),and (10,3) respectively.)

(iii) Also calculate the areas of the triangles in these cases. What do you observe?

(iv) What life skill value is depicted in this question?
Answer: Importance of agriculture/gardening, conserving nature, social responsibilities, selfdiscipline etc.)

Question. A well of diameter 3 m and 14 m deep is dug. The earth, taken out of it, has been evenly spread all around it in the shape of a circular ring of width 4 m to form an embankment. Find the height of the embankment. Comment on the importance of water in our daily life.

Answer: h = 1.125m

IMPORTANCE OF WATER:-

    It is an integral part of our life.

   We cannot survive without water.

   We drink water, take bath, wash clothes, used in the kitchen etc.)

Question. Ramu prepares a rakhee for his friend Ayub’s sister. It consists of rectangle of length 8cm ,breadth 6cm inscribed in a circle.Ayub also helps Ramu.Find the area of the shaded region .What value is depicted by them.

Answer: Area of the shaded region= 30.5 sq.cm

Value-Ffriendship)

Question. The taxi fare after each km ,when the fare is Rs 15 for the first km and Rs 8 for each km.

(i) Check whether this statement forms an A.P or not.
Answer: Yes

(ii) If the taxi owner uses a milage meter which shows 10% extra for each km which value is violated by the taxi owner?
Answer:  Value-Honesty

Question. In a class test, the sum of Kamal’s marks in Maths and English is 40. Had he got 3 marks more in Maths and 4 marks less in English the product of their marks would have been 360.Find his marks in two subjects separately.If a student uses unfair means in examination which value she/he violates.
Answer: Marks in Maths=21

         Marks in English=19

Honesty. The habit of cheating or using unfair means in examination may not let him develop an integrity of character in the long run.)

Question. From your pocket money, you save Rs 1 on day 1, Rs 2 in next day and so on. What will you save in the month march 2008.
Answer: Rs.496

(i) Which mathematical concept is used here?
Answer: Arithmetic progression

(ii) What is the value depicted in the above problem?
Answer: Save Money

Question. Mahesh owns a juice shop, he sales the juice in glasses of 3 different shapes, radius of each glass is 3cm and height is 12cm. (Use π = 3.14)

Type C (conical shape)

Mohan decided to serve juice to the customer in glass of type A.

(a) Find the volume of the glass of type A.
Answer: .339.12 cubic cm

(b) Which type of glass has minimum capacity?
Answer: Glass B

(c) Which mathematical concept is generally used to solve the above problem?
Answer: Surface area and Volumes

(d) While serving, Mahesh chose glass of type A. What type of nature is depicted his choice of glass?
Answer: Honesty

Question. On one bank of a river there is a temple and just opposite to it on the other side of the river there is a church. Ram Prasad visits both the holy places on Sunday to pay his obeisance. On one Sunday he carried with himself a sextant and observed from the top of the temple, that the angle of depression of the top and bottom of the church are 300 and 00 respectively.

(i) Can Ram Prasad find out width of river and height of the church without actual measurement?
Answer: Yes

(ii) If yes, then show how?
Answer: by using trigonometric concept

(iii) What values are shown by Ram Prasad?
Answer: Paying equal respect for all religion

Question.The long and short hands of a clock are 6 cm and 4 cm respectively.Find the sum of distances travelled by their tips in a day. Write importance of time in student life.
Answer: 955.32 cm, Time once past never recalled.So one cannot afford to waste time

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