RISING NEPAL SECONDARY BOARDING SCHOOL

Class:- 7 FINAL EXAMINATION 2076 F.M: 50

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

Attempt all the questions.

Group 'A'

10 x 2

  1. Find the value of 'a' and 'b' if:
  2. If A = {1, 2, 3} and B = {4, -1}, find AxB and BxA.
  3. Find the degree of the following polynomials: 4x2 + xy2 + 4y4
  4. If , find the elements a23, a33, a13 and a32.
  5. Find the distance between the points A(6, -2) and B(-3, 5).
  6. Find the co-ordinates of point dividing internally the line jointing the points A(2, 4) and B(5, -6) in the ratio 2:1.
  7. Change the following angles as indicated:

a) 600 (into radians) b) (into grades)

  1. Simplify:
  2. If , find the values of and .
  3. Find the arithmetic mean of the following set of observations:

60, 68, 42, 70, 71, 63, 64, 68, 40

Group 'B'

10 x 3

  1. A point A(4, 3) is reflected on x-axis to get the image A' and A' is translated through to get A''. Find the co-ordinates of A' and A''.
  2. If and , then find .
  3. If P(-2, 0), Q(2, 4), R(4, 6) and S(8, 10) are the four points, find vectors and and prove .
  4. The angle of elevation of the top of a tower at a distance 20 metres from the foot of the tower is 300, find the height of the tower.
  5. If , find the value of sin A, Sec A and Cosec A.
  6. Find the value of:
  7. Prove that:
  8. Prove that:
  9. In , find in grades.
  10. If f(x) = x3 + 7x – 8 & h(x) = 2x3 – 7x2 + x – 4, find f(x) + h(x) and f(x) - h(x).

The End