Rising Nepal Secondary Boarding School

Final Examination 2074

Class: 9 F.M. 100

Time: 3 hrs. Subject: Mathematics P.M. 32

Group 'A'

9x(2+2)

  1. a) If U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, X = {1, 2, 3, 4, 5}, Y = {3, 4, 5} and Z = {2, 3, 6, 7}, then find: .

b) There is a loss of Rs. 5 while selling a bulb for Rs. 45. Find the loss percent.

  1. a) A salesman gets 5% commission on his sale. If he sells the goods of worth Rs. 1,50,000, find the amount of commission.

b) The minimum charge of electricity up to 20 units is Rs. 77 & Rs. 6.5 per unit above 20 units. If the total consumption of electricity in a particular month is 215 units, find the total cost.

  1. a) Factorize: x2 – x – y2 + y

b) Simplify:

  1. a) Solve by substitution method: x = 3y, 4x + 3y = 26

b) Find x & y.

  1. a) Sides of a triangle are 3cm, 4cm & 5cm, is it a right-angled triangle?

b) Find x:

  1. a) Calculate the length of a chord which is 5cm far from the center of the circle and whose radius is 13 cm.

b) If the mean of 32, x, 43, 55, 11 and 26 is 31, find the value of x.

  1. a) Find the value of first quartile and third quartile from:

22, 16, 14, 26, 32, 30

b) A card is drawn at random from a well shuffled pack of 52 cards. Find the probability of getting a face card.

  1. a) Factorize: p8 – 18

b) Solve: 2x+2 = 8

  1. a) If the selling price of a radio is Rs. 730 and the loss is Rs. 150, find the cost price.

b) Find x and y.

Group 'B'

16 x 4

  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 the above information in a Venn-diagram.
  2. A cycle was sold at a loss of 20%. Had it been sold for Rs. 336 more, the profit would have been 10%. Find the cost price of the cycle.
  3. Karishma earns Rs. 96000 in a year. If Rs. 72000 is a tax free amount and she should pay 15% annual income tax. Find her monthly net income.
  4. According to the rate of telephone charge, the minimum cost up to 175 calls is Rs. 200 and cost per extra call above it is Rs. 1. Find the charge for 500 calls with 10% service charge and 13% of VAT.
  5. Factorize: a2 – 10a + 24 + 6b – 9b2
  6. Simplify:
  7. Solve: 4x+2 = 22x + 1 + 14
  8. Solve by completing square method.
  9. Experimentally verify that the exterior angle of a triangle is equal to sum of its two opposite interior angles.
  10. Construct a parallelogram ABCD in which AB = 3cm, BC = 4cm and =600.
  11. If =600, =300, verify:
  12. Calculate the mode of the following data:

x

0-10

10-20

20-30

30-40

40-50

50-60

y

5

6

9

15

12

4

  1. If a person having alcohol drives a vehicle, then probability of meeting an accident is . If an experiment is done where 1000 persons having alcohol drive vehicle, how many of them will meet an accident?
  2. If (4x + 3y):(6x + 5y) = 11:17, find x:y.
  3. In , AB = 3cm, BC = 4cm and , , find AC, .
  4. Solve: .

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