Nios Mathematics (211) Tutor Marked Assignment 2021-22 Question paper

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Nios Mathematics (211) Tutor Marked Assignment 2021-22 

Note :

(i) All questions are compulsory. The Marks allotted for each question are given beside the questions.

(ii) Write your name, enrollment numbers, AI name and subject on the first page of the answer

1. Answer any one of the following questions.

(a) The temperature in Leh was 9°C below zero while in Amritsar it was 1°C above zero. At the same time the temperature in Mount Abu was 2 °C . Represent the temperatures of these places on number line.

(b) A rectangular sheet of paper 44cm × 18cm is rolled along its length and a cylinder is formed. Find the volume of the cylinder.

2.Answer any one of the following questions.

(a) Diagonals of a quadrilaterals PQRS bisect each other. If ÐP = 40° determine ÐQ.

(b) Determine the ratio in which the line 3x + y – 9 = 0 divides the segment joining the points
(1, 3) and (2,7)

3. Answer any one of the following questions.

The length of a rectangle is 12 m more than twice the width. The area of the rectangle is 320 Square meter. Write an equation that can be used to find the length and width of the rectangle. Also find the dimensions of the rectangle.

There are two rectangular paths in the middle of a park as shown in the adjoining figure.
Find the area of the path, it is give that

AB = CD = 100m

AD = BC = 70 m

HE = SR = 5 m

4. Answer any one of the following questions.

(a) Kamla invested Rs. 8000 in a business. She would be paid interest at 5% per annum compounded annualy. Find (i) The amount credited against her name at the end of the second year. (ii) The interest for the third year.

(b) If the bisector of an angle of a triangle bisects the opposite side, prove that the triangle is isosceles.

5. Answer any one of the following questions.

(a) If 6 times the 6th term of an A.P is equal to 9 times its 9th term, then show that its 15th term is zero.

(b) The angle of elevation of the top of a tower 30 m high from the foot of another tower in the same plane is 60°, and the angle of elevation of the top of the second tower from the foot of the first tower is 30°. Find the Distance between the two towers and also the height of the other tower.

6. Prepare any one project out of the given below:

Conduct a survey of atleast 50 households from your locality/village, regarding population
and family income.
(i) Present the data related to family members in tabular form mentioning frequencies.
(ii) Calculate the average family size. How many families are above the average family size?
(iii) Draw the Bar graph for top 10 earning families.

(b) Observe a cricket match to be held in the current year. Prepare a project report indicating
comparison of performances of the two teams with respect to :
(i) data of individual scores.
(ii) team-wise average score per over
(iii) run rate of individual batsman who did batting
(iv) run rate of individual bowler who did bowling
(v) draw a bar graph displaying the 5 top scoring batsman of the winning team.

Session 2021-22 (Mathematics– 211)

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