PM SHREE KENDRIYA VIDYALAYA SITAPUR
PERIODIC TEST-2 (2025-2026)
CLASS-9 (MATHS) (SET-1)
T.M:- 40 Time:- 90 min
……………………………………………………………………………………………………………………………………………………………………….
Instructions:- (1)All questions are compulsory.
(2)This question paper contain 19 question .which is divided in four section A, B ,C and D
S.N SECTION –A MARK
O
1. Which of these is an irrational number? 1
(a) 0.333… ( b) √25 (c) √2 (Ans) (d) 3/5
2. Degree of polynomial 7x⁴ – 3x + 5 is: 1
(a) 1 (b) 2 (c) 3 (d) 4
3. If x+1 is a factor of x² + kx + 1, then k= ? 1
(a) -1 (b) - 2 (c) 3 (d) 4
4. The x-coordinate of any point on the y-axis is 1
(a) 1 (b) 2 (c) 0 (d) -1
5. Equation of a line parallel to y-axis is 1
(a) x=a (b) x= 0 (c) y= b (d) y= 0
6. A point has: 1
(a) Length only (b) Breadth only (c) No length or breadth d) Both length & breadth
7. Angles on a straight line add up to: 1
(a) 90° (b) 180° (c) 360° ( d) 0°
8. Two triangles are congruent if: 1
(a) All sides equal only (b) All angles equal only
(c) Certain corresponding sides & angles equal (any congruency rule) ( d) Areas equal
SECTION-B CASE STUDY QUESTIONS
9. A water-bottling company claims that each filled bottle contains exactly √ 2 litres of 3
water.
The company performs daily checks on five randomly chosen bottles, measuring their
contents accurately.
The readings (in litres) are recorded as:
Bottle Measured Volume
A 1.414
B 1.4142
C 1.41421
D 1.414213
E 1.4142135
To verify the claim, the quality-control manager wants to know whether √ 2 is a rational
number, how its decimal expansion behaves, and whether rounding it affects the type of
number.
1.The decimal expansion of √ 2 is:
a) Terminating b) Non-terminating repeating
c) Non-terminating non-repeating d) Mixed recurring
, 2. Which statement is correct about √ 2?
p
a) It can be expressed as with integers p and q.
q
b) It is an irrational number.
c) Its decimal expansion will end after a finite number of digits.
d) It is a natural number.
3. If the manager records √ 2 as 1.414 for calculations, the number 1.414 is:
a) Still irrational
b) A rational number
c) An integer
d) None of these
10. A park is designed in the shape of a rectangle on Cartesian plane. The coordinate of its corners 3
are A (0 ,0) B ( 8,0 ) , C ( 8 ,5) , and D (0,5) . A walking path runs from point P(2,0) on AB to
point Q (2,5) on CD . Use this information to answer the following questions:-
1. The length of the walking path is
(a) 2 units (b) 5 units (c) 8 units (d) 10 units
2.The distance between the points B(8,0) and Q (2,5) is
(a) √ 61 (b) √ 34 (c) √ 29 (d) √ 74
3. The distance between AB is
(a) 3 (b) 5 (c) 8 (d) 9
11. A local charity is selling tickets for a fund-raising concert. 3
The price of an adult ticket is ₹150.
The price of a child ticket is ₹100.
On a particular day, the total number of tickets sold was 200, and the total money
collected was ₹25,000.
Let the number of adult tickets be x and the number of child tickets be y.
1. Which pair of linear equations correctly represents the situation?
(a) x + y = 200 and 150x + 100y = 25,000 (b) x + y = 25,000 and 150x + 100y = 200
(c) 150x + y = 25,000 and x + 100y = 200 (d) x + y = 150 and 100x + 150y = 25,000
2. Solve the pair of equations to find the number of adult tickets sold.
(a) 50 (b) 100 (c) 125 (d) 150
3. If 125 adult tickets were sold, how many child tickets were sold?
(a) 50 (b) 75 (c) 100 (d) 125
12. In a school auditorium, two beams AB and CD cross each other at point O, forming four 3
angles.
Angle AOC measures 70°.
Beam CD is extended, making it a straight line.
1.What is the measure of angle COA’s adjacent angle (∠AOD)?
(a) 70° (b) 110° (c) 90° (d) 180°
2. What is the measure of ∠BOD?
(a) 70° (b) 110° (c) 90° (d) 45°
PERIODIC TEST-2 (2025-2026)
CLASS-9 (MATHS) (SET-1)
T.M:- 40 Time:- 90 min
……………………………………………………………………………………………………………………………………………………………………….
Instructions:- (1)All questions are compulsory.
(2)This question paper contain 19 question .which is divided in four section A, B ,C and D
S.N SECTION –A MARK
O
1. Which of these is an irrational number? 1
(a) 0.333… ( b) √25 (c) √2 (Ans) (d) 3/5
2. Degree of polynomial 7x⁴ – 3x + 5 is: 1
(a) 1 (b) 2 (c) 3 (d) 4
3. If x+1 is a factor of x² + kx + 1, then k= ? 1
(a) -1 (b) - 2 (c) 3 (d) 4
4. The x-coordinate of any point on the y-axis is 1
(a) 1 (b) 2 (c) 0 (d) -1
5. Equation of a line parallel to y-axis is 1
(a) x=a (b) x= 0 (c) y= b (d) y= 0
6. A point has: 1
(a) Length only (b) Breadth only (c) No length or breadth d) Both length & breadth
7. Angles on a straight line add up to: 1
(a) 90° (b) 180° (c) 360° ( d) 0°
8. Two triangles are congruent if: 1
(a) All sides equal only (b) All angles equal only
(c) Certain corresponding sides & angles equal (any congruency rule) ( d) Areas equal
SECTION-B CASE STUDY QUESTIONS
9. A water-bottling company claims that each filled bottle contains exactly √ 2 litres of 3
water.
The company performs daily checks on five randomly chosen bottles, measuring their
contents accurately.
The readings (in litres) are recorded as:
Bottle Measured Volume
A 1.414
B 1.4142
C 1.41421
D 1.414213
E 1.4142135
To verify the claim, the quality-control manager wants to know whether √ 2 is a rational
number, how its decimal expansion behaves, and whether rounding it affects the type of
number.
1.The decimal expansion of √ 2 is:
a) Terminating b) Non-terminating repeating
c) Non-terminating non-repeating d) Mixed recurring
, 2. Which statement is correct about √ 2?
p
a) It can be expressed as with integers p and q.
q
b) It is an irrational number.
c) Its decimal expansion will end after a finite number of digits.
d) It is a natural number.
3. If the manager records √ 2 as 1.414 for calculations, the number 1.414 is:
a) Still irrational
b) A rational number
c) An integer
d) None of these
10. A park is designed in the shape of a rectangle on Cartesian plane. The coordinate of its corners 3
are A (0 ,0) B ( 8,0 ) , C ( 8 ,5) , and D (0,5) . A walking path runs from point P(2,0) on AB to
point Q (2,5) on CD . Use this information to answer the following questions:-
1. The length of the walking path is
(a) 2 units (b) 5 units (c) 8 units (d) 10 units
2.The distance between the points B(8,0) and Q (2,5) is
(a) √ 61 (b) √ 34 (c) √ 29 (d) √ 74
3. The distance between AB is
(a) 3 (b) 5 (c) 8 (d) 9
11. A local charity is selling tickets for a fund-raising concert. 3
The price of an adult ticket is ₹150.
The price of a child ticket is ₹100.
On a particular day, the total number of tickets sold was 200, and the total money
collected was ₹25,000.
Let the number of adult tickets be x and the number of child tickets be y.
1. Which pair of linear equations correctly represents the situation?
(a) x + y = 200 and 150x + 100y = 25,000 (b) x + y = 25,000 and 150x + 100y = 200
(c) 150x + y = 25,000 and x + 100y = 200 (d) x + y = 150 and 100x + 150y = 25,000
2. Solve the pair of equations to find the number of adult tickets sold.
(a) 50 (b) 100 (c) 125 (d) 150
3. If 125 adult tickets were sold, how many child tickets were sold?
(a) 50 (b) 75 (c) 100 (d) 125
12. In a school auditorium, two beams AB and CD cross each other at point O, forming four 3
angles.
Angle AOC measures 70°.
Beam CD is extended, making it a straight line.
1.What is the measure of angle COA’s adjacent angle (∠AOD)?
(a) 70° (b) 110° (c) 90° (d) 180°
2. What is the measure of ∠BOD?
(a) 70° (b) 110° (c) 90° (d) 45°
