7/30/2019 Compulsory Maths question paper class 9

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Paper by: Meghraj Sapkota

Typed by: Meghraj Sapkota

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B C

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PENNWOOD ACADEMY

Second Term Exams, December 18 - 27, 2012

Class: IX Compulsory Mathematics FM: 100

Time: 3 Hrs. PM: 40

Candidates are required to attempt all the questions in the answer sheet in their own wordsas far as practicable.

Group A [10 (2+2) =40]

1. (a) Factorise: (b) Evaluate: ()

() ()

2. (a) Solve: (b) Sketch the graph for the inequality:

3. (a) If the cost of 3 buffaloes is equal to the 5 cows, 2 cows is equal to 7 goats

then how many goats cost as much as 6 buffaloes?

(b) 30% of certain money is Rs. 2500. Find the amount.

4. (a) The paths each of width 2.5m run across the middle of a rectangular field

of 15m long and 9m wide. Find the area of the paths.

(b) What will be the cost of plastering the four walls of a room whose

perimeter is 36m and height is 3 meter, at Rs 13 per square meter?

5. (a) Prove that: (b) If find the value of A.

6. (a) From the given right angled triangle ABC, find the values of AC and BC

(b) In the given parallelogram ABCD, what will be the size of

7. (a) If the mean of 3,6,9,p,10 is 7, find the value of p.

(b) Find the third quartile (Q3) from the given data given below:

18, 20, 17, 24, 19, 21, 23

8. (a) From the cards numbered from 4 to 23, a card is drawn at random. Find

the probability of getting a card of prime number.

(b) A card is drawn at randomly from a well-suffixed pack of 52 cards. What

is the probability that the card so drawn be a red king?

9. (a) Find the value of x in the adjoining figure:

(b) Find AC in the adjoining figure where AB=13cm, BC=5 cm.

10. (a) By which axiom congruent? Write the correspondingsides.

(b) In the given figure, if PN=5 cm, and NS=15 cm, find thevalue of x

Group C (154=60)

11. If n (U) =150, n (A) = 70, n (B) =68 and n (AB) =21 then:(i) Find the value of .(ii) Present the above information in Venn diagram.

12. 55 men can finish a piece of work in 42 days. How many additional men

must be added to complete the work 9 days earlier?

13. A sum of money amounts to Rs 5600 in 7 years. If the interest is ofprincipal, find the principal and rate of interest.

14. Find the volume of the given prism:

15. If then prove that

.

7cm

5cm

8cm

12cm

10cm

7/30/2019 Compulsory Maths question paper class 9

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Paper by: Meghraj Sapkota

Typed by: Meghraj Sapkota

E

BA

CD

16. Solve:

17. Solve graphically: 18. A person gave 45% of his money to his son, 20% to his daughter and

remaining Rs. 21,000 to his wife. Find the amount given to his son and

daughter?

19. A wall is 25m long, 4m high and 30cm thick. If it contains two windows of

2m by 1.5m each and door of 3m by 2m, find the number of bricks of size

15cm10cm5cm to build the wall. Also find the total cost of bricks at the

rate of Rs. 8.50 per brick.

20. Represent the following data in pie-chat.

21. Find the mean from the given table:

Marks obtained 15 25 35 45 55

No. of students 7 8 12 7 622. The following data gives the number of children in the 30 families.

1, 0, 2, 0, 3, 4, 4, 2, 3, 5, 1, 1, 2, 1, 3, 0, 2, 3, 5, 2, 2, 1, 2, 2, 3, 2, 3, 2, 4, 2,

(i) Represent the above data in the form of frequency distribution,

(ii) Find the mode.

23. Prove that diagonals of a parallelogram bisect each other.

24. Verify experimentally that if one side of a triangle is produce, the exterior

angle so formed is equal to the sum of the interior opposite angles. (Three

figures are necessary.)

25. In the given figure, ABCD is a parallelogram. If equal angles are marked

similarly, prove that .

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