Paper by: Meghraj Sapkota Typed by: Meghraj Sapkota
PENNWOOD ACADEMY Second Term Exams, December 18 - 27, 2012 Class: IX Time: 3 Hrs.
Compulsory Mathematics
FM: 100 PM: 40
Candidates are required to attempt all the questions in the answer sheet in their own words as far as practicable.
Group A [10× (2+2) =40]
1.
3.
4.
5. 6.
(a) Factorise: (b)
2.
Evaluate: ( ) ( ) ( ) Solve:
(b) Find the third quartile quartile (Q3) from the given data 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. random. Find Find the probability of getting a card of prime number. (b) A card is drawn at randomly from a well-suffixed 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 figure where AB=13cm, BC=5 cm. 10. (a) By which axiom congruent? Write the c orresponding S P sides.
(a) (b) Sketch the graph for the inequality: inequality: (a) If the cost of 3 buffaloes 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 certain money is Rs. 2500. Find Find the amount. amount. (a) The paths each of width 2.5m run across the middle middle of of a rectangular field of 15m long and 9m wide. Find the area of the paths. (b) What will be the the cost of plastering the four walls of of a room whose perimeter is 36m and height is 3 meter, at Rs 13 per square meter? (a) Prove that: (b) If find the value of A. (a) From the given given right right angled angled triangle ABC, find the values values of AC and BC BC
T
B
A
D
E
R
PN=5 cm, and NS=15 cm, find the
Group C (15×4=60) If n (U) =150, =150, n (A) = 70, n (B) =68 =68 and n (A B) =21 then:
12.
(ii) Present the above information in Venn diagram. 55 men can finish a piece of of work in 42 days. How many additional additional men must be added to complete the work 9 days earlier?
13.
A sum of money amounts to Rs 5600 in 7 years. years. If the interest is
14.
principal, find the principal and rate of interest. Find the volume of the given prism:
(i) Find the value of ̅.
7.
1 c m
C
(a) If the mean of 3,6,9,p,10 is 7, find the value of p.
15.
If
then prove that .
of 5
0
B
11.
C
(b) In the given parallelogram parallelogram ABCD, what what will be the size size of
Q
(b) In the given given figure, figure, if value of x
A
√
U
7cm
12cm
c m m c 8
Paper by: Meghraj Sapkota Typed by: Meghraj Sapkota
16. 17. 18.
19.
20.
21.
22.
23. 24.
25.
Solve graphically:
Solve:
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? 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 15cm×10cm×5cm to build the wall. Also find the total cost of bricks at the rate of Rs. 8.50 per brick. Represent the following data in pie-chat. Items Education House rent Food Other Amount (Rs.) 8000 4000 10000 14000 Find the mean from the given table: Marks obtained 15 25 35 45 55 No. of students 7 8 12 7 6 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. Prove that diagonals of a parallelogram bisect each other. 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.) In the given figure, ABCD is a parallelogram. If equal angles are marked A B similarly, prove that .
E D
----------The End----------
C
