9 Green C Math Class

b. Solve : x + y = 6 and x –y = 2

c. If (2a+3) = 2 , find the value of 3a : 2b. A D
(5a-5) 3 y x + 20°

8. a. In the given figure, ABCD is a parallelogram, B 3x C
D PC
find the value of x and y.
A A
b. In the given figure, ABCD is parallelogram,
AP and BP are bisector of ∠A and ∠B, find the O
measure of ∠APB. CB
E
c. In the adjoining figure, O is the centre of the 40
circle. If AE = 10 cm, BD = 8 cm, find CE. 4

9. a. Find the value sin2 30° + cos2 60° D

b. Find the the third quartile of the given data.

Marks 10 20 30
1
No. of students 2 3

10. a. Find the probability of getting prime number on tossing a dice once.

b. A card is taken out from a well pack of cards. Find the probability of
getting face cards or an ace card.

Group C [10 x 4 = 40]

11. In a survey of 100 farmers, the ratio of the farmers who grew paddy and
wheat is 2 : 3. If 10 farmers grew both and 20 grew none of them, find the
numbers of farmers who grew paddy only by using Venn-diagram.

12. The length of a room is 2 times its breadth and five times its height. If the
volume of the room be 800m³, find the cost of papering its walls at Rs. 6
per m².

13. Hari Bahadur purchased 500 shares for Rs. 100 each of ADB Bank which
issued 5000 shares. If the bank distributed 50% of net profit of Rs. 3,50,000.
How much money does Hari Bahadur get as dividend?

14. Solve : b + a =2
x–a x–b

GREEN Mathematics Book-9 345

15. Factorize: x2 – 6x – 7 – 8y – y2

16. Construct a parallelogram ABCD having AB = 4.5cm, AC = 8cm and BD =
6cm.

17. Prove that the equal chords are equidistant from the centre.

18. Verify experimentally that opposite angles of a parallelogram are equal

(to figures must be drawn). A

19. In the given figure, ABC and ABD are right angled 40 3 cm
triangles. Calculate the values of BC and CD.

20. Compute Q1 and Q3 from the following data. D 45° 60° B
C
x 5 20 24 29 35
f 2343 5

Group D [4 x 5 = 20]

21. After allowing 20% discount on the marked price of an article, there is a
profit of 28%. If the cost price of the article is Rs. 500, calculate the discount
amount of the article.

22. The cost of carpeting the floor of a room whose breadth is one-fourth of its

length is Rs. 16640 at the rate of Rs. 260 per sq m and the cost of plastering

the four walls of the room is Rs. 3000 at Rs. 25 per sq m. Calculate the

height of the room.

23. If x2 – 2 = 2 + 2– 2 find the value of 2x3 – 6x.

23 3,

24. In the adjoining figure, AMB and ANC are M A N

equilateral triangles, prove that MC = BN.

BC

346 GREEN Mathematics Book-9