Rising Nepal Secondary Boarding School

First Terminal Examination 2075

Class: 7 F.M. 50

Time: 2 hrs. Subject: Mathematics P.M. 16

Group 'A'

26

  1. a) Evaluate 3x2 + 4xy + z, when x = 1, y = 2 and z = 3.

b) Subtract 2x3 – 2x2 + 3x – 4 from 4x3 – 8x2 – 4x + 8

  1. a) Find the product: (x + 3)(x2 + 3x + 2)

b) If show that .

  1. a) Factorize: x2 + 3x + 2

b) Simplify:

  1. a) The list price of a book is Rs. 350. The book seller allows a discount

of 10%. Find the selling price of the book.

b) A man bought a chair for Rs. 650 and sold it at a profit of 15%. What

was the selling price of a chair?

  1. a) Find A – B and B – A if A = {a, b, c, d, e} and B = {a, e, i, o, u}

b) Find the union and intersection of given pair of sets: A = {1, 3, 5, 7, 9}, B = {2, 3, 5, 7, 9, 11}

  1. a) The area of triangle is 30 cm2 and height 5cm. Find its base.

b) A rectangular box is 6cm long, 4cm wide and 10cm high. What is its

total surface area.

  1. Define center of circle. Calculate the radius of a circle having diameter 16cm.

Group 'B'

24

  1. If A = {1, 2, 3, 4, 5}, B = {2, 4, 5, 8} and C = {1, 3, 5, 8, 9}, show that
  2. A man bought 20 liters of milk at Rs. 15 per litre and 40 liters of milk at Rs. 20 per liter. He mixed them together and sold at Rs. 17 per litre. Find his profit or loss.
  3. The marked price of a mobile set is Rs. 8000 and the discount of 15% is allowed. If the cost price of the mobile set is Rs. 5000, find the profit amount.
  4. If , find the value of .
  5. Expand the following by using formula:

i) (3x – y)3 ii) (x + 3)2

  1. Factorize:

i) 16x2 – 25y2 ii) (x2 – x + 6)

  1. Simplify:
  2. A tank is 4m long and 2m wide. If its volume is 10m3, how high is the tank?

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