SUNRISE CONVENT INTERNATION SCHOOL MANANHANA

TIME: 3 hrs Final exam CLASS 9 MM:80

SECTION A (1*16 =16)
Q1. The product of any two irrational number is
(a) Always an irrational number (c) always a rational number
(b) Always an integer (d) sometimes rational, sometimes irrational
Q2. Write the coefficients of x2 in the given polynomial 2-x2 + x3
(a) -1 (b) 3 (c) 1 (d) none of these
Q3. A point which lies in the third quadrant have sign:
(a) +,+ (b) -,+ (c) +,- (d) -,-
Q4. The degree of the quadratic polynomial is
(a) 0 (b) 2 (c) 3 (d) -1
Q5. The value of the x in the given figure is
(a) 100 (b) 200 (c) 300 (d) 400
Q6. Class mark of the class 70-80 is
(a) 65 (b) 85 (c) 75 (d) 150
Q7. In the given figure of ABC, AB=AC what will be BCA?
Q8. In the given figure ABCD is a parallelogram. If C = 650 then B + D is equal to
(a) 1800 (b) 1150 (c) 1550 (d) 2300
Q9. Find the angle subtended by the diameter in a semicircle.
Q10. Find the area of triangle whose sides 3cm, 4cm and 5cm.
(a) 6cm2 (b) 8cm2 (c) 9 cm2 (d) 12 cm2
Q11. The point (2,3) lie in the …… quadrant.
(a) IV (b) II (c) I (d) III
Q12.The longest side in the right angled triangle is known as
(a) Median (b) hypotenuse (c) altitude (d) none of these
Q13. Three angles of quadrilateral 750, 900, 750. Find the fourth angle.
Q.14 In figure, O is the Centre of the circle. The value of x is:
(a) 1400 (b) 600 (c) 1200 (d) 3000
Q.15 The volume of the sphere is …….
2 3 4 3
(a) πr (b) πr2h (c) 2πrh (d) πr
3 3
Q16. Find the surface area of cylinder whose radius is 7cm and height is 21cm…..
(a) 3234cm2 (b) 2216 cm2 (c) 2304 cm2 (d) 2518 cm2

SECTION B (2*8 = 16)

Q17. Find the remainder when 4x3 – 3x2 + 4x -2 is divided by x-2.
OR
Evaluate the product using identity 104 × 96.
Q18. Lines l and m intersect at O, if x = 450. Find the y,z,u
Q19. Find the six rational numbers between 3 and 4.
Q20. Find the value of k if x = 2, y = 1 is a solution of the equation 2x + 3y = k.
Q21. Find the area of an equilateral triangle whose side is 12 cm.
Q22. Curved surface area of a cone is 308 cm 2 and its slant height is 14 cm. Find the radius of base.
1
Q23. Rationalize the denominator of
√7−√ 6
Q24. Find the mode of the given data
5,8,9,6,9,4,3,3,9,6,3,9,7,3,2,5,9.
SECTION C (3*4 =12)
Q25. Evaluate (102) 3

OR
 Expand (2x + 1) 3
Q26. Draw the graph of x + y = 4.
Q27. In the given figure; lines XY and MN intersect at O, If POY = 900 and a : b = 2:3. Find c.
Q28. Find the area of triangle, two sides of which are 18 cm and 10 cm and perimeter is 42 cm.

SECTION D (4*5 = 20)

Q29. Find the radius of a sphere whose surface area is 154 cm 2.
OR
A conical tent is 10 m high and the radius of its base is 24 m. Find the
1) Slant height of the tent
2) Cost of the canvas require to make the tent, if the cost of 1 m 2 canvas is Rs. 70.
Q30. Find the area of the shaded region in the given figure.
Q31. Given below are the seats won by different political parties in the polling outcome of a state assembly
election:
POLITICAL A B C D E F
PARTY
SEATS 75 55 37 29 10 37
WON
a) Draw a bar graph to represent the polling results.
b) Which political party won the maximum number of seats?
Q32. In the given figure ABC = 690 and ACB = 310. Find BDC.
OR
In the fig A, B, C and D are four points on a circle AC and BD intersect at a point E such that BEC = 130 0
and ECD = 200. Find BAC.

CASE STUDY
( Each case study has 5 case based sub parts. Attempt any 4 out of 5)
Case study 1: Games and sports are very necessary for life. These are the best exercises to the body. Games
and sports male us fit active, fresh and social. They teach us the lesson of coordination, duty and discipline.
A healthy mind develop in a healthy body. On the basis of an outline survey on group of people some
results are given. People who love to play cricket are 5 times the square of total number of people, the
people who love to play badminton are 3 times the total no. of the people and remaining 100 entries ticked
on indoor games.
Answer the following questions:
(A) The expression formed from the information is
a) 15x2 + 5x + 100 b) 5x2 + 15x +100 c) 5x2 + 3x +100 d) 5x2 – 3x +100
(B) What will be coefficient of x2?
a) 3 b) 5 c) -5 d) – 3
(C) The value of p(x) = 5x + 3x +100 at x = -1 is
2

a) 100 b) 102 c) 105 d) 110

(D) The degree of the polynomial 5x2 + 3x +100 is
a) 1 b) 2 c) 3 d) 4
(E) The coefficient of x is
a) -3 b) 5 c) -5 d) 3
Case Study 2: ‘learning by doing’ has great impact in teaching of maths. Students also enjoying
mathematics by activity method. Mr. Paul, a mathematics teacher has explained the topic of lines and angles
by taking a very thin steel wire. He used to steel wire and made some shapes at some specific angles and
shown to students and asked questions.
(A) What is the measure of a + b + POY?
a)1400 b) 1800 c) 1200 d) 1500
(B) What is the measure of BOD in fig 2?
a) 900 b) 700 c) 800 d) 1000
(C) What is the measure of y in fig 2?
a) 100 b) 102 c) 105 d) 110
 (D) What is the measure of a and b respectively in fig 1 if a:b = 2:3?
a) 540,360 b) 360, 540 c) 600,900 d) 400,600
(E) What is the measure of c in figure 1?
a) 1440 b) 900 c) 1260 d) 1200
Case study 3: Darts is a precession game that tests your accuracy and technique. The game involves
throwing darts at a target board with a level of precession that will help you to score better than your
opponents. Three children were playing dart game to improve their concentration and threw dart on target
board with radius 10 cm and centre O. darts land on target board positions at positions A, B and C
respectively. They drew lines to join AB, BC and CA and got a triangle shaped figure such that AC = BC.
Answer the following questions:
(A) What type of triangle ABC is?
a)Scalene triangle b) Acute angled triangle c) Equilateral triangle d) right angled triangle
(B) What is the length of AOB?
a) 17 cm b) 20 cm c) 5 cm d) 9 cm
(C) What is the measure of CAB?
a) 750 b) 650 c) 800 d) 450
(D) BAC, a major arc has measure
a) less than 1800 b) greater than 1800 c) equal to 1800 d) none of these
(E) AC is known as
a) major arc b) segment c) minor arc d) section
Case study 4: Covid - 19 is short of “ coronavirus disease 2019”, the name of disaster caused by the SARS-
CoV-2 coronavirus. It has spread so rapidly in many countries that World Health Organization has declared
it a Pandemic. Various state governments and central government are trying hard measures to fight with this
disease and for this several programmes were initiated by Delhi government, one of which is placing
hoardings on the roadsides all over the city on which some covid appropriate behavior guidelines are
written. These hoardings are in shape of triangle with sides 13 cm, 14 cm, and 15 cm.
Answer the following questions:
(A) What is the semiperimeter of triangle is
a)42 cm b) 28 cm c) 21 cm d) 84 cm
(B) What is the length of AOB?
a) √ s (s+a)(s+ b)( s +c) b) √ s (s−a)(s−b)( s−c ) c)
√ s (s +a)(s +b)( s+ c) d) none of these
2
(C) What type of triangle is this?
a) an equilateral triangle b) an isosceles triangle c) a right angled triangle d) a scalene triangle
(D) The area of the triangle is
a) 42 cm2 b) 84 cm2 c) 21 cm2 d) 48 cm2
(E) The height of the triangle is
a) 12 cm b) 14.2 cm c) 11.2 cm d) 15 cm