TECHNO INDIA GROUP PUBLIC SCHOOL, HOOGHLY

TERM I EXAMINATION, 2021-22

CLASS: IX
SUBJECT: MATHEMATICS(041)
F.M.-40 Time- 90Mins Writing + 10 Mins Uploading

GENERAL INSTRUCTIONS :

 Students must use their REVISION TEST COPY [PROVIDED BY THE SCHOOL]. Similar
pages available at students’ end can also be used .
 Students must write their NAME , CLASS , SECTION, ROLL AND SUBJECT ON THE FIRST
PAGE BEFORE UPLOADING THE ANSWER SCRIPTS IN THE PDF FORMAT RENAMING WITH
THE SCHOOL CODE USED IN THE ZOOM CLASS AND GOOGLE CLASSROOM followed by
subject name.
 Students must use BLACK/ BLUE DOT PEN FOR WRITING THE ANSWERS.
 STUDENTS SHOULD WRITE THE QUESTION NUMBER, CORRECT OPTION (a/b/c/d)
ALONG WITH THE ANSWER. Marks will be deducted if only option or only answer is
written.
 The question paper will be visible in the respective subject’s Google Classroom 2 minutes
prior to the scheduled time.
 Students must submit their work within due time as submission of the answer script on time
to be treated as ones priority.

INSTRUCTIONS :
1. The question paper contains three parts A ,B and C.
2. Section A consists of 20 questions of 1 marks each . Attempt any 16 questions.
3. Section B consists of 20 questions of 1 marks each. Attempt any 16 questions .
4. Section C consists of 10 questions based on two case studies . Attempt any 8 questions.

SECTION -A
Q1. The area of the triangle formed by the points O (0,0), A (3,0) and B (0,6) is _____ sq. units.

(a)9 (c) 27

(b)18 (d)30

Q2. The equation x = -3, in two variables, can be written as :

(a)1x+1y= -3. (c) 0x+1y = -3

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 (b)1x+0y= -3 (d) 0x+0y=-3

Q3. Let 𝑙 the lower class limit of a class interval in a frequency distribution and 𝑚 be the midpoint of
the class . Then, the upper class limit of the class is
𝑙+𝑚
(a)𝑚 + (c)2𝑚 − 𝑙
2

𝑙+𝑚
(b) 𝑙 + (d) 𝑚 − 2𝑙
2

Q4. The length of each sides of an equilateral triangle of area 4 3 cm2, is _____

(a)4 cm (c) 3 /4 cm
(b) 3 cm (d) 3 cm

Q5.A square and an equilateral triangle have equal perimeters. If the diagonals of the square is 12 2
cm, then area of the triangle is

(a)24 2 sq.cm (c) 48 3 sq.cm

(b)24 3 sq.cm (d) 64 3 sq.cm

Q6. In the given figure, if lines I and m are parallel, then the value of x is ______

(a)35° (c)65°
(b)55° (d)75°
𝐵𝐶
Q7. In the given figure . If 𝐵𝐶 = 1.5𝑐𝑚 ,then 2𝐵𝐷 + is
2

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 a)2.20cm c)3.75cm
b)4.25cm d)5.10cm

Q8. Which of the following is rational ?

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(a) 3 (c) 0
0
(b) 𝜋 (d) 4

Q9. The length of the sides of a ∆ABC are consecutive integers. If ∆ABC has the same perimeter as an
equilateral triangle with side of length 9 cm, then what is the length of the shortest side of ∆ABC?
(a)4 cm (c) 8 cm
(b)6 cm (d)10 cm

Q10. In the given figure, if l1 // l2 and l3 //l4, what is y in terms of x?

(a) 90+x (c) 90-x/2

(b) 90+2x (d) 90-2x

Q11. ABC is an isosceles triangle such that AB = AC and AD is the median to the base BC .Then ,
𝐵𝐴𝐷 is equal to

(a)55 (c)120
(b)110
(d)130

Q12. The following marks were obtained by the students in a test

81, 72,90,90,86,85,92,70,71,83,89,95,85,79,62.

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 The range of the marks is
(a)9 (c) 27
(b)17 (d) 33

Q13. The graph of the linear equation 3x+4y=12 is a line which meets the Y-axis at the point
(a)(0,4) (c) (0,12)
(b)(0,3) (d) (0,7)

Q14. Two points having same abscissa but different ordinate lie on _______

(a) X-axis (c) A line parallel to Y-axis

(b)Y-axis (d) A line parallel to X-axis

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Q15. If 𝑥 −2 = 64, then 𝑥 3 + 𝑥 0 is equal to
3
(a) 2 (c) 2
2
(b) 3 (d) 3

Q16. In the given figure ,if 𝐴𝐸 𝐷𝐶 and AB= AC , the value of ABD is

(a)70 (c ) 120
(b)110 ( d) 130

Q17. If the supplement of an angle is two-third of itself, then the angle is :

(a)108° (c) 45°
(b) 72° (d ) 135°

Q18. The base and hypotenuse of a right triangle are respectively, 5cm and 13cm long. The area of
the triangle is ____
(a)25sq.cm (c) 30sq.cm
(b) 28sq.cm (d) 40sq.cm

Q19. When simplified (𝑥 −1 + 𝑦 −1 )−1 is equal to

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 𝑥𝑦
(a)xy (c ) 𝑥+𝑦

𝑥+𝑦
(b) 𝑥 + 𝑦 (d) 𝑥𝑦

Q20. In the given figure, if AC is bisector of BAD such that AB = 3cm and AC = 5cm , then CD is equal
to

(a)2cm (c) 4cm

(b ) 3cm (d) 5cm

SECTION –B

Q21. In a frequency distribution, the mid value of a class is 10 and the width of the class is 6 . the
lower limit of the class.

(a) 7 (c) 6

(b) 8 (d) 9

Q22. The perpendicular distance of the point P (9,8) from Y-axis is _______
(a )9 (c) 17
(b) 8 (d) 19

Q23. 7 + 48 is equal to
(a) 7 + 2 3 (c) 2 + 3
(b) 7 + 3 (d) 3 + 2

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Q24. In the given figure, if AB//CD, angle APQ=60° and angle PRD = 137°, then the value of x and y
are :

(a) 60°,77° (c) 65°,75°

(b) 55°,45° (d) 60°,70°

Q25. In the given figure, ABC is an isosceles triangle whose side AC is produced to E. Through C, CD is
drawn parallel to BA. The value of 𝑥 is

(a) 52 (c) 156

(b) 76 (d) 104

Q26. If the height of an equilateral triangle measures 9cm, its area will be ______.
(a) 27sq.cm (c) 40.5sq.cm
(b)27 3 sq.cm (d)9 3 sq.cm

Q27. How many linear equations are satisfied by x=2 and y=-3 ?
(a) 1 (c)3
(b) 2 (d) infinite

Q28. If one of the angles of a triangle is 130°, then find the angle between the internal bisectors of
the other two angles.
(a) 145° (c)130
(b) 155° (d) 90

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Q29. If (a,4) lies on the graph x+2y=6, then a is equal to :
(a) 0 (c) -2
(b) 2 (d) 4

Q30. If the area of an isosceles right-angled triangle is 8cm2, then the perimeter of the triangle is ____
(a) 8cm (c ) 16cm
(b) (8+4 2) cm (d) 4 2 cm

Q31.If (K-2,K+1 ) is the solution of the equation 2𝑥 + 3𝑦 = 4,then K is equal to

(a)0 (c) 4

(b) 2 (d) 1

𝑝
Q32. .Express 0.588588588 … in the form of 𝑞
196 196
(a) 333 (c) 323

190 588
(b) (d) 333
222

Q33. In the given figure, if lines AB and CD are parallel, then the value of x is______

(a)35°. (c)30°

(b)55°. (d) 75°

Q34. In the given figure ,if 𝑚 𝑛 and a  b  2 3 , then that will be the measure of 𝑥

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 (a)36 (c )72

(b) 108 ( d ) 270

Q35. The sides of a triangular field are 11cm, 60cm and 61cm. Find the number of flower beds that
can be prepared, if each bed is to occupy 10cm2 of space ?
(a) 30 (c) 32
(b) 31 (d) 33

Q36. “Four years later, a father will be 8 years less than three times the age of his son.” Taking the
present age of father and son as x and y respectively, write a linear equation for the given
information.
(a) x=3y+8 (c) x-3y=8
(b)x+3y=8 (d) x = 3y

1 1 1
Q37. Show that (2− −( +( =
3) 3− 2) 2−1)
(a) 4 (c ) 2
(b)3 (d)1

Q38. It is given that ABC=68° and AB is produced to a point P. If ray BQ bisects  CBP, then find
 ABQ and reflex angle QBP.

(a)124°,304° (c) 110°,220°

(b)120°,260° (d) 100°,300°

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Q39. If 𝑎 = 9 − 4 5 ,then find the value of 𝑎 + 𝑎

(a)10∛5 (c) -8 5
(b)18 (d)5 8
Q40. In the given figure,𝑙 𝑚, 𝑠ℎ𝑜𝑤 𝑡ℎ𝑎𝑡 1 +2 - 3 =

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 (a) 30° (c) 180
(b) 45° (d) 60

SECTION –C

Case study 1:

The following data given is the weight of 30 oranges ( in grams) picked from a basket:

106, 107, 76, 109, 187, 95, 125, 92, 70, 139, 128, 100, 88, 84, 99, 113, 204, 141, 136, 123, 90, 115,
110, 97, 90, 107, 75, 80, 118, 82.

Frequency distribution table:

Class Interval Tally marks Frequency

60-80 III 3

80-100 IIII IIII 10

100-120 IIII IIII 9

120-140 IIII 5

140-160 I 1

160-180 - 0

180-200 I 1

200-220 I 1

Total 30

Q41. Class size of the given data is :

(a) 20 (c) 30

(b) 10 (d) 15

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Q42. Class mark of the fourth class is:

(a)70 (c) 20
(b)130 (d). 15

Q43.The number of oranges whose weight is more than 180g.

(a)1 (c) 2
(b)3 (d) 4

Q44.The number of oranges whose weight is less than 100g.

(a) 10 (c) 5
(b) 3 (d) 13

Q45. The range of the data is

(a) 70 (c) 134

(b) 204 (d) 120

Case study 2:

Four friends Ram, Raju, Ravi, Ritu are standing in reference to a well situated at the origin with
the following respective coordinates (2,4),(-2,4),(-2,-4) and (2,-4).

Q46.By plotting this points on a single graph paper the figure obtained is a rectangle. Find the
perimeter of the rectangle.

(a)12 unit (c) 48 unit

(b)24 unit (d) 8 unit

Q47. Find the distance between Ram and Raju

(a)2unit (c) 4 unit

(b)3unit (d) 5unit

Q48. Raju stands on which quadrant?

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 (a)Quadrant I (c) Quadrant III

(b)Quadrant II (d) Quadrant IV

Q49. Ordinate of Ritu is:

(a)-4 ( c) 4

(b)-2 (d) 2

Q50. Abscissa of Ravi is:

(a) -2 (c) 2

( b) -4 (d )4

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