Joint Examination Board
PABSON, Bhaktapur
Pre-send up Examination - 2066
Class: X F.M: 100
Subject: C. Maths Time: 3 hrs. P.M: 40
Examinees are required to give their answers in their own words as far as possible. Priority will be given to creative answers in marking rather than the rot learning.
Attempt all the questions:
Group 'A' [9×(2+2)=36]
Q.1. a. Simplify:
b. Evaluate:
Q.2. a. Solve: .
b. If 3 is subtracted from the square of a number and the result is 6, find the number.
Q.3. a. 9, x+2, 2x-1, 3x-5, 20 and 21 are in ascending order. If the median is 17, find the value of x.
b. From the graph alongside, find the class in which the first quartile (Q1) lies.
Q.4. a. What is the probability of getting the card an ace or a heart when a card is drawn randomly from a pack of 52 cards?
b. Two children were given birth by a couple of the interval of four years. Illustrate the probabilities of son or daughter by drawing a tree diagram and calculate the probabilities of both are same sex.
Q.5. a. In the given figure BC = 12cm, =300, and the area of =27cm2, find the length of AB.
b. Given figure is a triangular prism whose volume is 1800cm3. If AB = 15cm, BC = 8cm and , find the length of the prism.
Q.6. a. If the volume of a spherical object is cm3, find its diameter.
b. The curve surface area of given cone is 8800cm2. If the slant height is 100cm, determine the height PO of the cone.
Q.7. a. In how many years will the compound interest on Rs.64000 at the rate of 5% per annum be Rs.10088?
b. The price of an article with 15% VAT is Rs.690. What will be the price excluding VAT?
Q.8. a. In the given diagram PQRS is square. If PQ // ST and SQ = cm, then find the area of PQT.
b. In the given figure alongside, O is the centre of a circle. If 2 A = C = x0, find the value of OBC.
Q.9. a. In the given figure alongside, O is the center of a circle, PQ is a diameter of the circle. If PRS = 320, what will be the measurement of QRT.
b. In the adjoining figure, O is the centre of the circle, FBD is a tangent at the point B and ODB = 320, find the values of x and y.
Group 'B' [16×4=64]
Q.10. In a survey of the students, it was found that 70% of the students studied BBA course, 65% of the students studied BBS course, 430 students studied both the course and 8% did not study both courses. Then,
i. Represent the above information in a Venn diagram.
ii. Find the total number of students took part in the survey.
Q.11. Find the H.C.F. of:
8x3 + 27y3, 16x4 + 36x2y2 + 81y4 and 4x3 - 6x2y + 9x2y.
Q.12. Solve:
Q.13. Simplify:
Q.14. The area of a rectangular room is 45 sq. m. If the length had been 3m less and the breadth 1m more it would have been a square. Find the length and breadth of the room.
Q.15. Compute the first quartile from the given data.
Marks obtained 0-20 20-40 40-60 60-80 80-100
No of students. 5 7 7 5 4
Q.16. The horizontal distance between two trees of different height is 30m. The angle of depression of the top of the first tree when seen from the top of the second tree is 300. If the height of the second tree is 40m, find the height of the first tree.
Q.17. Given figure is solid composed of a cylinder with hemisphere at one end. If the total surface area and the height of the solid are 770 cm2 and 14 cm respectively, find the height of the cylinder.
Q.18. Find the volume of the solid object given in the figure.
Q.19. A and B can do a piece of work in 8 days and 12 days respectively. They start the work together but A leaves after 3 days. Then, B calls C and they complete the remaining work in 4 days. In how many days C alone can do the whole work.
Q.20. The marked price of a radio is 25% above the selling price and the cost price is 30% less than marked price, find the discount percent and profit percent.
Q.21. The compound interest on a certain sum for 2 years at 8% per annum compounded annually is Rs.312. Find the simple interest for the same time and at the same rate.
Q.22. In the adjoining figure, it is given that AD // BC, BD // CE. Prove that Area of ABC = Area of BDE.
Q.23. Prove that inscribe angles subtended by same arc are equal.
Q.24. Verify experimentally that angle in a semi-circle is right angle. (Two circles of radii more than 3cm are necessary to draw.)
Q.25. Construct a quadrilateral PQRS in which QR = 5.3cm, RS = 5cm, PS = 5.7 cm, PQ = 5.2cm and PR = 5.5cm. Then construct a triangle RQT equal in area to the quadrilateral PQRS.
Best of Luck!
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