RISING NEPAL SECONDARY BOARDING SCHOOL

Class:- 8 FIRST TERMINAL EXAMINATION 2076 F.M:50

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

Attempt all the questions.

Group 'A'

2x10

  1. If (a, 4) = (-2, a+b), find a and b.
  2. If P={a, b} and Q = {1, 2}, find PxQ and QxP.
  3. If the function of g is given by g(x) = 4x – 3, find g(3 + h).
  4. Find the degree of the following polynomials: 4x4y2+2x3y3+xy4
  5. Simplify:
  6. If , find the value of x and y.
  7. If and , find A+B.
  8. Find the mean of the data: 10, 6, 8, 30, 4, 9, 23, 12, 5, 15.
  9. Find the median of the data: 7, 4, 2, 10, 14, 6, 18, 3, 16
  10. Find the quartiles of the data: 12, 17, 15, 20, 4 , 7, 3, 8, 13, 6, 10, 14

Group 'B'

3x10

  1. Consider the set A= {1, 2, 3, 4}. Find the Cartesian product AxA and the following relations.

i) Find all the members of the relation 'is greater than'

ii) Find all the members of the relation 'is equals'

iii) Find all the members of the relation 'is square of'

  1. If m(x) = 2x3 – x2 + x – 4 and n(x) = 7x3 + 8x + 2 are two polynomials, find m(x) + n(x) and m(x) – n(x).
  2. If p(x) = x3 + 3x – 7 and q(x) = 2x2 + 3, find p(x).q(x).
  3. Rationalize the denominator of:
  4. Simplify:
  5. If and , find 3A – 4B.
  6. IF the given function if f(x) = x2 , then find the value of f(a + h) – f(a).
  7. Find the mean from the following data:

Marks

10 - 20

20 – 30

30 - 40

40 - 50

50 - 60

60-70

No. of sts

12

15

11

10

6

8

  1. Find the median from the following data:

Marks

0 - 5

5 - 10

10 - 15

15 - 20

20 - 25

No. of sts

15

20

12

10

8

  1. Find the mode of the following data:

Wages

100 - 150

150 - 200

200 - 250

250 – 300

300 - 350

Workers

45

30

57

20

26

The End