## NIOS TMA Mathematics (311) Tutor Marked Assignment 2021

NIOS TMA Mathematics 311 Tutor Marked Assignment 2021 Nios Solved Assignment Links

## Check Your Questions Papers and Instructions below: Mathematics (311) Tutor Marked Assignment Session 2020-21 (Mathematics-311) -12th Class

Max.Marks: 20

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 subject on the top of the first page of the answer sheet.

### (1) Answer any one of the following questions in about 40-60 words.

(a) In a class of 40 students, 25 speak Hindi and 15 speak both English and Hindi. All students speak at least one of the two languages. How many students speak only English.

(b) How many numbers between 100 and 1000, can be formed with the digits, 1, 2, 3, 4, 5 if the repetition of digits is not allowed?

### (2) Answer any one out of the following questions in about 40 to 60 words.

(a)

(b) A committee of 5 members is to be formed out of 6 gents and 4 ladies. In how many ways this can be done, when atleast two ladies are included?

### (3) Answer any one out of the following questions in about 40 to 60 words.

(a) An equilateral triangle is inscribed in the parabola y2 = 4ax, whose vertex is at the vertex of the parabola. Find the length of the side of the triangle.

(b) Three coins are tossed once. Find the probability of getting

### (4) Answer any one out of the following questions in about 100 to 150 words.

(a) Find the equation of the line, which passess through the point (3,4) and the sum of its intercepts on the axis is 14.

(b) The sum of the first four terms of an Arithmetic Progression (A.P) is 56. The sum of the last four terms is 112. If the first term is 11, then find the number of terms in the AP.

### (5) Answer any one out of the following questions in about 100 to 150 words.

(a) Five marbles are drawn from a bag which contains 7 blue marbles and 4 black marbles. Find out the probability
(i) all will be blue.
(ii) 3 will be blue and 2 black.

(b) Prove by the principle of mathematical induction for all natural number ‘n’: 1 + 4 + 7 + 1 – – – – + (3n – 2)

### (6) Prepare any one project out of the following projects given below.

(a) Observe a one-day cricket match to be held in the year 2020. Prepare a project report indicating the performance and comparison with respect to the following points:
(i) Range of the individual scores of the players.
(ii) Compute team wise mean deviation score.
(iii) Prepare team wise grouped frequency distribution tables, showing the number of over as class intervals and corresponding scores as frequencies.
(iv) Represent the above frequency distribution table (Part iii) with the help of histogram.

(b) Conduct a survey at population in your locality taking a sample of at-least 50 families. Prepare a project report with respect to the following points:
(i) Represent the data showing age using class intervals.
(ii) Compute the average income of the families

(iii) Literacy level of the population in terms of Elementary, Secondary, Senior Secondary, Graduation and above.
(iv) Find the variance of the income of the families.
(v) Represent the data in part (iii) with the help of bar graph.