FIRST TERM EXAMINATION – Model Paper
Session: 2025 – 26
Grade: IX
Subject : Mathematics
SECTION A 1×20=20 Marks
(Multiple Choice Questions)
Each question carries 1 mark each
̅ is:
Q1. The simplest form of 0.57
57 26 57 57
a) b) c) d)
100 45 99 90
Q2. Which of the following points lies on the line y = 2x + 3?
a) (2, 8 ) b)(5, 15) c) ( 3, 9) d) ( 4, 12)
Q3. The product 3√2 . 4√2 . 12√32 is equal to:
a) 12√2 b) 2 c) √2 d) 12√32
Q4. The equation of x-axis is:
a) 𝑦 = 0 b) 𝑥 = 0 c) 𝑦 = 𝑘 d) 𝑥 = 𝑘
Q5. Zero of the zero polynomial is:
a) Every real number b) 1 c) not defined d) 0
Q6. x = 2, y = -1 is a solution of the linear equation:
a) 2𝑥 + 𝑦 = 0 b)𝑥 + 2𝑦 = 0 c) 𝑥 + 2𝑦 = 4 d) 2𝑥 + 𝑦 = 5
Q7. The length of the sides of a triangle are 5 cm, 7 cm and 8 cm. Area of the
triangle is:
a) 100√3 cm2 b) 10√3 cm2 c) 300 cm2 d) 50√3 cm2
Q8. If x - 3 is a factor of x2 - ax -15, then a is:
a) 3 b) −2 c) 5 d) -5
1
, Q9. The point which lies on y-axis at a distance of 6 units in the positive direction of
y-axis is:
a) (0, −6) b) (0, 6) c) (6, 0) d) (−6, 0)
1
Q10. Let f(x) be a polynomial such that 𝑓 (− 2) = 0. Then a factor of 𝑓 (𝑥 ) is:
a) 𝑥 + 1 b) 2𝑥 + 1 c) 𝑥 − 1 d) 2𝑥 − 1
Q11. The diameter of the moon is approximately one-fourth of the diameter of the
earth. What fraction of the volume of the moon is the volume of the earth?
1 1 1 1
a) b) c) d)
16 32 48 64
Q12. Point (- 10,0) lies:
a) on the negative direction of y-axis
b) on the negative direction of the x-axis
c) in the third quadrant
d) in the fourth quadrant
Q13. If a2 + b2 + c2 = 30 and a + b + c = 10, then the value of ab + bc + ca is:
a) 25 b) 30 c) 35 d) 40
Q14. The line represented by the equation x + y = 16 passes through (2, 14). How
many more lines pass through the point (2, 14)?
a) 10 b) 2 c) many d) 100
Q15. If the area of an isosceles right triangle is 8 cm 2, then its perimeter is:
a) 8 + √2 cm2 b) 12 √2 cm2 c) 8 + 4√2 cm2 d) 4 + 8√2 cm2
Q16. The radii of two cones are in the ratio 2 : 1 and their volumes are equal. The
ratio of their height is:
a) 1 ∶ 4 b) 4 ∶ 1 c) 3 ∶ 1 d) 1 ∶ 2
Q17. The area of equilateral triangle whose side is 12 cm is:
a) 36√3 cm2 b) 16√3 cm2 c) 12√3 cm2 d) 2√3 cm2
Q18. The radius and slant height of a cone are in the ratio 4 : 7. If its curved surface
area is 792 cm2, then its radius is:
a) 3 cm b) 6 cm c) 9 cm d) 12 cm
Direction: In question 19 & 20, a statement of Assertion (A) is followed by a
statement of Reason (R). Mark the correct choice as:
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct
explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason(R) is not the correct
explanation of Assertion (A).
(c) Assertion (A) is true but Reason (R) is false.
(d) Assertion (A) is false but Reason (R) is true.
2
Session: 2025 – 26
Grade: IX
Subject : Mathematics
SECTION A 1×20=20 Marks
(Multiple Choice Questions)
Each question carries 1 mark each
̅ is:
Q1. The simplest form of 0.57
57 26 57 57
a) b) c) d)
100 45 99 90
Q2. Which of the following points lies on the line y = 2x + 3?
a) (2, 8 ) b)(5, 15) c) ( 3, 9) d) ( 4, 12)
Q3. The product 3√2 . 4√2 . 12√32 is equal to:
a) 12√2 b) 2 c) √2 d) 12√32
Q4. The equation of x-axis is:
a) 𝑦 = 0 b) 𝑥 = 0 c) 𝑦 = 𝑘 d) 𝑥 = 𝑘
Q5. Zero of the zero polynomial is:
a) Every real number b) 1 c) not defined d) 0
Q6. x = 2, y = -1 is a solution of the linear equation:
a) 2𝑥 + 𝑦 = 0 b)𝑥 + 2𝑦 = 0 c) 𝑥 + 2𝑦 = 4 d) 2𝑥 + 𝑦 = 5
Q7. The length of the sides of a triangle are 5 cm, 7 cm and 8 cm. Area of the
triangle is:
a) 100√3 cm2 b) 10√3 cm2 c) 300 cm2 d) 50√3 cm2
Q8. If x - 3 is a factor of x2 - ax -15, then a is:
a) 3 b) −2 c) 5 d) -5
1
, Q9. The point which lies on y-axis at a distance of 6 units in the positive direction of
y-axis is:
a) (0, −6) b) (0, 6) c) (6, 0) d) (−6, 0)
1
Q10. Let f(x) be a polynomial such that 𝑓 (− 2) = 0. Then a factor of 𝑓 (𝑥 ) is:
a) 𝑥 + 1 b) 2𝑥 + 1 c) 𝑥 − 1 d) 2𝑥 − 1
Q11. The diameter of the moon is approximately one-fourth of the diameter of the
earth. What fraction of the volume of the moon is the volume of the earth?
1 1 1 1
a) b) c) d)
16 32 48 64
Q12. Point (- 10,0) lies:
a) on the negative direction of y-axis
b) on the negative direction of the x-axis
c) in the third quadrant
d) in the fourth quadrant
Q13. If a2 + b2 + c2 = 30 and a + b + c = 10, then the value of ab + bc + ca is:
a) 25 b) 30 c) 35 d) 40
Q14. The line represented by the equation x + y = 16 passes through (2, 14). How
many more lines pass through the point (2, 14)?
a) 10 b) 2 c) many d) 100
Q15. If the area of an isosceles right triangle is 8 cm 2, then its perimeter is:
a) 8 + √2 cm2 b) 12 √2 cm2 c) 8 + 4√2 cm2 d) 4 + 8√2 cm2
Q16. The radii of two cones are in the ratio 2 : 1 and their volumes are equal. The
ratio of their height is:
a) 1 ∶ 4 b) 4 ∶ 1 c) 3 ∶ 1 d) 1 ∶ 2
Q17. The area of equilateral triangle whose side is 12 cm is:
a) 36√3 cm2 b) 16√3 cm2 c) 12√3 cm2 d) 2√3 cm2
Q18. The radius and slant height of a cone are in the ratio 4 : 7. If its curved surface
area is 792 cm2, then its radius is:
a) 3 cm b) 6 cm c) 9 cm d) 12 cm
Direction: In question 19 & 20, a statement of Assertion (A) is followed by a
statement of Reason (R). Mark the correct choice as:
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct
explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason(R) is not the correct
explanation of Assertion (A).
(c) Assertion (A) is true but Reason (R) is false.
(d) Assertion (A) is false but Reason (R) is true.
2
