Rising Nepal Secondary Boarding School

RISING NEPAL SECONDARY BOARDING SCHOOL

Class:- X THIRD TERMINAL EXAMINATION 2073 F.M:50

Time:- 2hrs Sub:- Mathematics P.M:18

Group ‘A’

1. a. Evaluate:

b. Simplify:

2. a. Solve:

b. From the age of a person if two fifth of his age is subtracted, the result

becomes 24 years. Find the age of the person.

$C:\Users\samsung\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.Word\CCI01082017 - Copy (2).tif$ 3. a. In a continuous series, if the mean (= 55, the number of terms (N)= 19+ 3m

and calculate the value of m.

b. Find the first quartile (Q₁) class from the given

cumulative frequency curve.

4. a. A card is draw from a well-shuffled pack of 52 cards at random. What is the probability of the card being a red queen or black card? Find it.

$C:\Users\samsung\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.Word\CCI01082017.tif$ b. A cubical dice is rolled two two times. Show the probabilities of all possible outcomes of getting or not getting 5 in a tree diagram.

5. a. PQR= 60⁰, QR=12 cm and the area of PQR is 18

Find the length of the side PQ.

b. The base area of a cone is 125 sq. cm and its height is 9cm. Find its volume.

6. a. There is loss of 20% when selling a mobile set for Rs. 4000, find the cost price of mobile set.

$C:\Users\samsung\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.Word\CCI01082017 - Copy.tif$ b. In how many years will the population of a village be 2040 from 2000 at the growth rate of 2% per annum. Find it.

7. a. In the given figure, O is the centre of the circle.

If PKM = 60⁰ and PMKY then find the value of MPY.

b. In the given figure, O is the centre of the circle, AB and

AC are tangent lines at points E and F respectively.

If EDF= 75⁰, find the measurement of EAF.

Group ‘B’

8. In a survey among 70 people, it was found that 50 liked football only and 10 liked both football and volleyball. The number of people who liked football is four times the number of people who liked volleyball. By using a Venn diagram find the number of people who liked volleyball only and who didn’t like any of the games.

9. Find the HCF of: (1-x²) (1-y²)+ 4xy, 1-2x+y-x²y+x²

10. Solve: 3^x+2 + 3^2-x = 82

11. Simplify:

12. The difference of the ages of two brothers is 6 years. If after two years the product of their ages will be 280, find their present ages.

13. Find the third quartile from the table given below:

Marks Obtained	10-20	20-30	30-40	40-50	50-60	60-70	70-80
No. of sts.	3	5	4	5	4	2	3

14. A man 1.7 m tall observes a bird sitting on the top of a tree in front of him and finds the angle of elevation to be 60⁰. If the height of the tree is 53.7cm, find the distance between the man and the tree.

15. D can do a piece of work in 8 days and S can do the same work in 12 days. D worked alone for 2 days and S for 3 days. In how many days will the remaining work be finished if they work together? Find it.

16. A shopkeeper marks the price of an article 25% above the cost price. After allowing a discount of 15% on its marked price, it was sold at a gain of Rs. 2700. Find its marked price.

17. A businessman borrowed a sum of money at the rate of 5% simple interest for 2 years and immediately he lent it a compound interest compounded annually at the same rate for the same duration of time. In this transaction if he gained Rs. 50, find the sum borrowed.

The End