ARYAMAN VIKRAM BIRLA INSTITUTE OF LEARNING
TERM-2 EXAMINATION – 2023-24
CLASS: IX TIME: 3 HOURS
SUBJECT: MATHEMATICS FULL MARKS: 80
Instructions:
i. There are THIRTY EIGHT questions. Attempt all questions.
ii. Question Paper consists of five sections:
Section A consists of 20 questions 1 mark each.
Section B consists of 5 questions 2 marks each.
Section C consists of 6 questions 3 marks each.
Section D consists of 4 questions 5 marks each.
Section E consists of 3 questions 4 marks each.
SECTION- A Marks
Q1 If ( K-2, K+1) is the solution of the equation 2x + 3y = 4, 1
then K is equal to
(a) 0 (b) 2 (c) 1 (d)4
Q2 How many Lines passes through a point? 1
(a) one (b) two (c) three (d) many
Q3 If the diagonals of a rhombus are 18cm and 24cm 1
respectively, then its side is equal to
(a)16cm (b)15cm (c) 20cm (d) 17cm
Q4 The radius of a circle is 5cm and the distance of chord from 1
the centre of the circle is 4cm, then the length of the chord
(a) 8cm (b) 7cm (c) 6cm (d) 5cm
Q5 The area of an equilateral triangle is4√3𝑐𝑚 2 , then length of 1
its each side is :
4
(a) 4cm (b) 4√3cm (c) cm (d) 3cm
√3
-1 -1 -1
Q6 When simplified (x + y ) is equal to 1
𝑥𝑦 𝑥+𝑦
(a) 𝑥+𝑦 (b) xy (c) 𝑥𝑦
(d) x + y
Q7 If (a, 4) lies on the graph x + 2y = 6, then ‘a’ is equal to 1
(a) 2 (b) 0 (c) -2 (d) 4
https://amzn.to/45JReMW
Page 1 of 8
, Q8 Chord AB and CD intersect at right angle. If ∠BAC = 400, 1
then ∠ABD is equal to
(a) 450 (b) 600 (c) 400 (d) 500
Q9 The width of each of five continuous classes in a frequency 1
distribution is 10 and lower class-limit of the lowest class is
10. The upper class-limit of the highest class is:
(a) 30 (b) 60 (c) 50 (d) 40
Q10 Degree of the constant polynomial is 1
(a) 1 (b) 2 (c) 0 (d) not defined
Q11 If x + y + 2 = 0, then x3 + y3 + 8 equals 1
(a) (x+y+2)3 (b) 6xy (c) -6xy (d) 0
Q12 The angle which is five times its supplement is 1
(a) 1500 (b) 1800 (c) 900 (d) 3600
Q13 If the surface area of a sphere is 144𝜋 m2 , then it volume 1
(in m3) is
(a) 288 𝜋 (b) 316 𝜋 (c) 300 𝜋 (d) 188 𝜋
Q14 The base and hypotenuse of a right triangle are respectively, 1
5cm and 13cm long. Its area is
(a) 25cm2 (b) 28cm2 (c) 30cm2 (d) 40cm2
Q15 If, ∠ APX = 45° and ∠ CQX = 30 °. AB is parallel to CD. 1
Find ∠ X
(a) 1850 (b) 2800 (c) 1950 (d) 2850
Q16 In a ∆ABC, if 2∠A = 3∠B = 6∠C, then measure of ∠B is 1
(a) 300 (b) 750 (c) 600 (d) 900
https://amzn.to/45JReMW
Page 2 of 8
TERM-2 EXAMINATION – 2023-24
CLASS: IX TIME: 3 HOURS
SUBJECT: MATHEMATICS FULL MARKS: 80
Instructions:
i. There are THIRTY EIGHT questions. Attempt all questions.
ii. Question Paper consists of five sections:
Section A consists of 20 questions 1 mark each.
Section B consists of 5 questions 2 marks each.
Section C consists of 6 questions 3 marks each.
Section D consists of 4 questions 5 marks each.
Section E consists of 3 questions 4 marks each.
SECTION- A Marks
Q1 If ( K-2, K+1) is the solution of the equation 2x + 3y = 4, 1
then K is equal to
(a) 0 (b) 2 (c) 1 (d)4
Q2 How many Lines passes through a point? 1
(a) one (b) two (c) three (d) many
Q3 If the diagonals of a rhombus are 18cm and 24cm 1
respectively, then its side is equal to
(a)16cm (b)15cm (c) 20cm (d) 17cm
Q4 The radius of a circle is 5cm and the distance of chord from 1
the centre of the circle is 4cm, then the length of the chord
(a) 8cm (b) 7cm (c) 6cm (d) 5cm
Q5 The area of an equilateral triangle is4√3𝑐𝑚 2 , then length of 1
its each side is :
4
(a) 4cm (b) 4√3cm (c) cm (d) 3cm
√3
-1 -1 -1
Q6 When simplified (x + y ) is equal to 1
𝑥𝑦 𝑥+𝑦
(a) 𝑥+𝑦 (b) xy (c) 𝑥𝑦
(d) x + y
Q7 If (a, 4) lies on the graph x + 2y = 6, then ‘a’ is equal to 1
(a) 2 (b) 0 (c) -2 (d) 4
https://amzn.to/45JReMW
Page 1 of 8
, Q8 Chord AB and CD intersect at right angle. If ∠BAC = 400, 1
then ∠ABD is equal to
(a) 450 (b) 600 (c) 400 (d) 500
Q9 The width of each of five continuous classes in a frequency 1
distribution is 10 and lower class-limit of the lowest class is
10. The upper class-limit of the highest class is:
(a) 30 (b) 60 (c) 50 (d) 40
Q10 Degree of the constant polynomial is 1
(a) 1 (b) 2 (c) 0 (d) not defined
Q11 If x + y + 2 = 0, then x3 + y3 + 8 equals 1
(a) (x+y+2)3 (b) 6xy (c) -6xy (d) 0
Q12 The angle which is five times its supplement is 1
(a) 1500 (b) 1800 (c) 900 (d) 3600
Q13 If the surface area of a sphere is 144𝜋 m2 , then it volume 1
(in m3) is
(a) 288 𝜋 (b) 316 𝜋 (c) 300 𝜋 (d) 188 𝜋
Q14 The base and hypotenuse of a right triangle are respectively, 1
5cm and 13cm long. Its area is
(a) 25cm2 (b) 28cm2 (c) 30cm2 (d) 40cm2
Q15 If, ∠ APX = 45° and ∠ CQX = 30 °. AB is parallel to CD. 1
Find ∠ X
(a) 1850 (b) 2800 (c) 1950 (d) 2850
Q16 In a ∆ABC, if 2∠A = 3∠B = 6∠C, then measure of ∠B is 1
(a) 300 (b) 750 (c) 600 (d) 900
https://amzn.to/45JReMW
Page 2 of 8
