Rising Nepal Secondary Boarding School

First Terminal Examination 2074

Class: 9 F.M. 50

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

Group 'A'

2x12

  1. Factorize:
  2. Factorize:
  3. Factorize:
  4. Expand and find the value of: a) b)
  5. By using Pythagoras relation, identify which of the following are right angled triangle.

a) 8cm, 15cm and 17cm

b) 10cm, 24cm and 26cm

  1. Find the value of x and y:

  1. If A={first two natural numbers}, B={prime numbers less than 10} and C={odd numbers less than 10}. Find .
  2. If the cost price of an article is Rs. 122 and selling price is Rs. 92, find the profit or loss.
  3. The charge of electricity is Rs. 80 for the first 20 units and Rs. 7.30 per unit from 21 units to 250 units. Find the charge of using 125 units.
  4. Define sample space. When dice is rolled, write the sample space.
  5. When a pair of coin is tossed, write the sample space and find the probability of getting two heads.
  6. What is null or empty set?

Group 'B'

4x9

  1. In a group of people, 50 like to drink tea, 60 like to drink coffee and 10 like both the drinks. Find how many people are there altogether? Show all the information in Venn-diagram.
  2. A stationer buys 40 books at Rs. 1600. She sold 10 books at the rate of Rs. 40 and other 15 books at the rate of Rs. 45. At what rate should she sell the remaining books to earn 15% profit in the whole transaction?
  3. The minimum charge for the first 175 telephone calls is Rs. 300. If the charge for each additional call is Rs. 3.50, how much will be charged for 389 telephone calls?
  4. Simplify: a) b)
  5. If abc=1, prove that:
  6. Find the length of the diagonal from corner A to corner F in the given cuboids, if AB = 16cm, BC = 25cm and ED = 9cm.
  7. A bag contain 6 green and 14 black balls. A ball is drawn at random from the bag, find the probability that the ball is green and yellow.
  8. Factorize: 64 – 144a + 108a2 – 27a3
  9. Simplify:

-O-