RISING NEPAL SECONDARY BOARDING SCHOOL

Class:- 7 FIRST TERMINAL EXAMINATION 2076 F.M:50

Time:- 2hrs. Sub:- Optional Mathematics P.M:16

Attempt all the questions.

Group 'A'

2x10 = 20

  1. Find the value of a and b if: (2b+1, 3a) = (5, 7)
  2. If A = {a, b} and B = {c, d}, find AxB and BxA.
  3. Find the domain and range of the following: R1={(2, 4), (5, 6), (3, 8), (3, 9)}
  4. Identify the types of following relations and find their domain and range:

i) ii)

  1. Find the inverse of the following relations: R1={(-1, 3), (-3, 5), (6, 2), (2, 4)}
  2. Calculate the mode of the following data.

2, 5, 6, 7, 3, 4, 5, 6, 4, 6, 8, 7, 4, 3

  1. If , then what is the order of matrix A and find the values of a21 and a22.
  2. If , find the values of x, y and z.
  3. If and , find A+B.
  4. Find the median of the following data:

3, 6, 9, 18, 23, 32, 12, 20, 8, 16, 5

Group 'B'

3x10 = 30

  1. Find the value of a and b if:
  2. If A = {1, 2, 3} and B = {4, -1}, find AxB and BxA. Represent them in Cartesian plane.
  3. If A = {1, 5} and B = {2, 3, 4}, find the following relations from set A to B.

a) The first component is less than the second component.

b) The first component is greater than the second component.

14. Calculate the arithmetic mean of the following data.

Marks

4

5

6

7

8

9

10

No. of Sts.

2

4

8

12

6

3

2

15. Calculate the median of the following data. 4

Weight (kg)

29

30

31

32

33

No. of sts.

4

8

7

9

3

16. If A= , find a23, a33, a13, a32.

17. If A= and B= , find 2A-3B.

18. If A = and B = , find the matrix C if

3A + C = B

19. If A = , B = and C = , prove the following relation:

(A + B) + C = A + (B + C)

20. Find the values of x, y and z.

-O-