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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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
2/2
Paper by: Meghraj Sapkota
Typed by: Meghraj Sapkota
E
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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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Amount (Rs.) 8000 4000 10000 14000
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