Rising Nepal Secondary Boarding School

First Terminal Examination 2074

Class: 10 F.M. 60

Time: 2 hrs. Subject: Mathematics P.M. 19.2

Group 'A'

2x12

  1. In a survey conducted among 560 students of a school, it was found that 320 liked football game, 300 like volleyball game and 500 like at least one of the games. Find the number of students who like both games.
  2. A customer paid Rs. 13,440 for a TV with 12% VAT. Find the price of TV without VAT.
  3. Find the area of an equilateral triangle whose perimeter is 30cm.
  4. Find the volume of the given triangular prism.
  5. Find the height of right circular cylinder having 14cm radius of the base and 2288cm2 total area of its surface.
  6. Find the HCF of: 4xy2(x – 1)(x + 2) and 6xy2(x + 2)(x + 3)
  7. Arrange in descending order of magnitude:
  8. Simplify:
  9. Find the value of:
  10. In the given figure, parallelogram PQRS with its area 30cm2 and ∆MQR are standing on the same base QR. If QR=6cm and QM=10cm, calculate
  11. Simplify:
  12. Simplify:

Group 'B'

4x9

  1. From the top of a tower 91m high, the angle of depression of the top of a house 12m high on the same level of the ground was observed and found to be 300. Find the distance between the tower and house.
  2. If x + y + z = m, show that:
  3. Solve:
  4. Find LCM: 8x3 + y3, 8x3 – y3 and 16x4 + 4x2y2 + y4
  5. The base radii of two right circular cones of the same height are in the ratio 3:4. Find the ratio or their volumes.
  6. Find the equal sides of an isosceles triangle whose area is 168cm2 and the base is 14cm.
  7. After allowing 5% discount on a radio 13% VAT was charged. If selling price was Rs. 2,147, how much amount was given as a discount?
  8. The volume of a square-based prism is 2916cm3. If the height of the prism is 4 times the side of its base, find its total surface area.
  9. In survey it was found that the ratio of people who like tea and coffee is 9:8. If 25% liked tea and coffee both, 80 liked none of those and 20% liked tea only, find the total number of people participated in the survey.

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