RISING NEPAL SECONDARY BOARDING SCHOOL

Class:- 6 FIRST TERMINAL EXAMINATION 2076 F.M:50

Time:- 2hrs. Sub:- Opt. Maths P.M:16

All the questions are compulsory.

Group 'A'

2x10

  1. Find the value of x and y if: (x + 2, y) = (5, 4)
  2. If A = {1, 2} and B = {3, 4}, find AxB and BxA.
  3. Find the domain and range of the following relations:

i) R1 = {(a, b), (c, d), (e, f), (x, y)}

  1. Find the inverse relations of the following relations:

i) R1 = {(2, 3), (3, 4), (5, 6), (4, 6)}

  1. Find mean of the data: 4, 8 , 3 , 6 , 10, 5, 19 , 30, 13, 15
  2. Express the following polynomials in the standard form:

8 + 2x2 + 3x

  1. Find f(x) + h(x), for the following polynomials:

f(x) = 5x4 + 3x3 + 7x and h(x) = x4 + 3x3 + x2 + 3x + 2

  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.

Group 'B'

3 x 10

  1. Find the value of x if the mean of the data 1+ x, 3 +x, 6 +x is 37.
  2. If A = {a, b} and B = {m, n}, find AxB, BxA and AxA. Represent them in mapping diagram.
  3. If A={2, 4} and B={1, 3, 5}, find the following relations from set A to B.

i) The first element is greater than the second element.

ii) The first element is less than the second element.

  1. Identify whether the following pair of polynomials are equal or not.

i) f(x) = -3x + 4x2 – 7 and g(x) = 4x2 – 7 – 3x

  1. For the following polynomials find f(x) – h(x),

i) f(x) = 4x3 + 7x2 – 8x – 5 and h(x) = x3 – 4x2 – 3x

  1. Find the product of: f(x) = 3x – 7 and g(x) = x – 4.
  2. Find the values of x and y under the following conditions:
  3. If and , find A + B.
  4. If and , find A – B.
  5. Write the order of the following matrices:

a) b)

The End