SUBJECT: MATHEMATICS MAX. MARKS : 80
CLASS : IX DURATION : 3 HRS
General Instruction:
1. This Question Paper has 5 Sections A-E.
2. Section A has 20 MCQs carrying 1 mark each.
3. Section B has 5 questions carrying 02 marks each.
4. Section C has 6 questions carrying 03 marks each.
5. Section D has 4 questions carrying 05 marks each.
6. Section E has 3 case based integrated units of assessment (04 marks each) with sub-parts of the
values of 1, 1 and 2 marks each respectively.
7. All Questions are compulsory. However, an internal choice in 2 Qs of 5 marks, 2 Qs of 3 marks
and 2 Questions of 2 marks has been provided. An internal choice has been provided in the
2marks questions of Section E
8. Draw neat figures wherever required. Take π =22/7 wherever required if not stated.
SECTION – A
Questions 1 to 20 carry 1 mark each.
0.16 0.09
1. Value of (256) × (256) is
(a) 4 (b) 16 (c) 64 (d) 256.25
2. A rational number between 2 and 3 is
2. 3
(a) 1.1 (b) (c) 1.5 (d) 1.8
2
3. On dividing 6 27 by 2 3 , we get
(a) 3 9 (b) 6 (c) 9 (d) none of these
3
4. 2 4 3 is equal to
(a) 648 (b) 721/12 (c) 4321/12 (d) 2161/12
5. Factors of 3x2 – x – 4 are
(a) (x – 1) and (3x – 4) (b) (x + 1) and (3x – 4)
(c) (x + 1) and (3x + 4) (d) (x – 1) and (3x + 4)
6. Zeros of the polynomial p(x) = (x – 2)2 – (x + 2)2 are
(a) 2, – 2 (b) 2x (c) 0, – 2 (d) 0
7. The point which lies on y-axis at a distance of 5 units in the negative direction of y-axis is
(a) (0, 5) (b) (5, 0) (c) (0, –5) (d) (–5, 0)
8. The point (5, –4) lies
(a) on the x-axis (b) on the y-axis (c) in the I quadrant (d) in the IV quadrant
9. How many linear equations in x and y can be satisfied by x = 1 and y = 2?
(a) Only one (b) Two (c) Infinitely many (d) Three
10. The equation of x-axis is of the form
(a) x = 0 (b) y = 0 (c) x + y = 0 (d) x = y
, 11. The equation 2x + 5y = 7 has a unique solution, if x, y are
(a) Natural numbers (b) Positive real numbers
(c) Real numbers (d) Rational numbers
12. If two complementary angles are in the ratio 13 : 5, then the angles are
(a) 65°, 35° (b) 65°, 25° (c) 13x°, 5x° (d) 60°, 30°
13. Angles of a triangle are in the ratio 2 : 4 : 3. The smallest angle of the triangle is
(a) 60° (b) 40° (c) 80° (d) 20°
14. Which of the following is not a criterion for congruence of triangles?
(a) SAS (b) ASA (c) SSA (d) SSS
15. In a parallelogram ABCD, AP and CQ are perpendicular drawn to the diagonal BD. On
measuring it is found that ∠PAB = 65° and ∠DAB = 75°, then the measure of ∠QCD is
(a) 90° (b) 75° (c) 65° (d) 10°
16. Given a circle of radius 5 cm and centre O. OM is drawn perpendicular to the chord XY. If OM
=3 cm, then length of chord XY is
(a) 4 cm (b) 6 cm (c) 8 cm (d) 10 cm
17. In figure, if ∠ABC = 20°, then ∠AOC is equal to:
(a) 20° (b) 40° (c) 60° (d) 10°
18. The area of an equilateral triangle with side 4√3 cm is
(a) 20 cm2 (b) 20 cm2 (c) 18.784 cm2 (d) 20.784 cm2
DIRECTION: In the question number 19 and 20, a statement of Assertion (A) is followed by a
statement of Reason (R).
Choose the correct option
19. Assertion (A): 0.271 is a terminating decimal and we can express this number as 271/1000
which is of the form p/q, where p and q are integers and q ≠ 0.
Reason (R): A terminating or non-terminating decimal expansion can be expressed as rational
number.
(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.
20. Assertion (A): The angles of a quadrilateral are x°, (x – 10)°, (x + 30)° and (2x)°, the smallest
angle is equal to 58°.
Reason (R): Sum of the angles of a quadrilateral is 360°.
(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).
CLASS : IX DURATION : 3 HRS
General Instruction:
1. This Question Paper has 5 Sections A-E.
2. Section A has 20 MCQs carrying 1 mark each.
3. Section B has 5 questions carrying 02 marks each.
4. Section C has 6 questions carrying 03 marks each.
5. Section D has 4 questions carrying 05 marks each.
6. Section E has 3 case based integrated units of assessment (04 marks each) with sub-parts of the
values of 1, 1 and 2 marks each respectively.
7. All Questions are compulsory. However, an internal choice in 2 Qs of 5 marks, 2 Qs of 3 marks
and 2 Questions of 2 marks has been provided. An internal choice has been provided in the
2marks questions of Section E
8. Draw neat figures wherever required. Take π =22/7 wherever required if not stated.
SECTION – A
Questions 1 to 20 carry 1 mark each.
0.16 0.09
1. Value of (256) × (256) is
(a) 4 (b) 16 (c) 64 (d) 256.25
2. A rational number between 2 and 3 is
2. 3
(a) 1.1 (b) (c) 1.5 (d) 1.8
2
3. On dividing 6 27 by 2 3 , we get
(a) 3 9 (b) 6 (c) 9 (d) none of these
3
4. 2 4 3 is equal to
(a) 648 (b) 721/12 (c) 4321/12 (d) 2161/12
5. Factors of 3x2 – x – 4 are
(a) (x – 1) and (3x – 4) (b) (x + 1) and (3x – 4)
(c) (x + 1) and (3x + 4) (d) (x – 1) and (3x + 4)
6. Zeros of the polynomial p(x) = (x – 2)2 – (x + 2)2 are
(a) 2, – 2 (b) 2x (c) 0, – 2 (d) 0
7. The point which lies on y-axis at a distance of 5 units in the negative direction of y-axis is
(a) (0, 5) (b) (5, 0) (c) (0, –5) (d) (–5, 0)
8. The point (5, –4) lies
(a) on the x-axis (b) on the y-axis (c) in the I quadrant (d) in the IV quadrant
9. How many linear equations in x and y can be satisfied by x = 1 and y = 2?
(a) Only one (b) Two (c) Infinitely many (d) Three
10. The equation of x-axis is of the form
(a) x = 0 (b) y = 0 (c) x + y = 0 (d) x = y
, 11. The equation 2x + 5y = 7 has a unique solution, if x, y are
(a) Natural numbers (b) Positive real numbers
(c) Real numbers (d) Rational numbers
12. If two complementary angles are in the ratio 13 : 5, then the angles are
(a) 65°, 35° (b) 65°, 25° (c) 13x°, 5x° (d) 60°, 30°
13. Angles of a triangle are in the ratio 2 : 4 : 3. The smallest angle of the triangle is
(a) 60° (b) 40° (c) 80° (d) 20°
14. Which of the following is not a criterion for congruence of triangles?
(a) SAS (b) ASA (c) SSA (d) SSS
15. In a parallelogram ABCD, AP and CQ are perpendicular drawn to the diagonal BD. On
measuring it is found that ∠PAB = 65° and ∠DAB = 75°, then the measure of ∠QCD is
(a) 90° (b) 75° (c) 65° (d) 10°
16. Given a circle of radius 5 cm and centre O. OM is drawn perpendicular to the chord XY. If OM
=3 cm, then length of chord XY is
(a) 4 cm (b) 6 cm (c) 8 cm (d) 10 cm
17. In figure, if ∠ABC = 20°, then ∠AOC is equal to:
(a) 20° (b) 40° (c) 60° (d) 10°
18. The area of an equilateral triangle with side 4√3 cm is
(a) 20 cm2 (b) 20 cm2 (c) 18.784 cm2 (d) 20.784 cm2
DIRECTION: In the question number 19 and 20, a statement of Assertion (A) is followed by a
statement of Reason (R).
Choose the correct option
19. Assertion (A): 0.271 is a terminating decimal and we can express this number as 271/1000
which is of the form p/q, where p and q are integers and q ≠ 0.
Reason (R): A terminating or non-terminating decimal expansion can be expressed as rational
number.
(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.
20. Assertion (A): The angles of a quadrilateral are x°, (x – 10)°, (x + 30)° and (2x)°, the smallest
angle is equal to 58°.
Reason (R): Sum of the angles of a quadrilateral is 360°.
(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).
