SAMPLE PAPER
TERM-I (2025-26)
CLASS-IX (MATHEMATICS)
Maximum Marks:80 Time: 3 hours
General Instructions:
Read the following instructions carefully and follow them:
1. This question paper contains 38 questions. All Questions are
compulsory.
2. This Question Paper is divided into 5 Sections A, B, C, D and E.
3. In Section A, Question numbers 1-18 are multiple choice questions
(MCQs) and question no.19 and 20 are Assertion- Reason based
questions of 1 mark each.
4. In Section B, Question numbers 21-25 are very short answer (VSA)
type questions, carrying 02 marks each.
5. In Section C, Question numbers 26-31 are short answer (SA) type
questions, carrying 03 marks each.
6. In Section D, Question numbers 32-35 are long answer (LA) type
questions, carrying 05 marks each.
7. In Section E, Question numbers 36-38 are case study-based
questions carrying 4 marks each with sub parts of the values of 1, 1
and 2 marks each respectively.
8. There is no overall choice. However, an internal choice in 2 questions
of Section B, 2 questions of Section C and 2 questions of Section D
has been provided. An internal choice has been provided in all the 2
marks questions of Section E.
9. Draw neat and clean figures wherever required. Take 𝝅 =22/7,
wherever required if not stated.
10. Use of calculators is not allowed.
(Section – A)
Section A consists of 20 questions of 1 mark each.
Q.No. Questions Marks
1. If the ordered pair (x+3 , 5) = (2 , 2-y) then the value of xy is 1
(A) -3 (B) 3 (C) 2 (D) -2
2. The degree of the polynomial p(x) = 3 is 1
1
(A) 0 (B) 2 (C) 2 (D) 1
, 3. The sum of 0. 2 and 0. 5 is 1
10 7 7 3
(A) 7 (B) 9 (C) 99
(D) 10
4. 𝑥
𝑥
+1 1
If 10 = 64,then 10 2 is equal to
(A)18 (B) 42 (C) 80 (D) 81
5. If p(x) = x +3, then p(x) + p (-x) = 1
(A) 6 (B) 2x (C) 0 (D) 3
6. The number of dimension/dimensions of a point is/are 1
(A)3 (B) 2 (C) 0 (D) 1
7. Euclid stated that all right angles are equal to each other in the form of 1
(A)an axiom (B) a definition (C) a postulate (D) a proof
8. An isosceles right triangle has an area of 8sq.cm. The length of its hypotenuse is 1
(A) 32 cm (B) 16 cm (C) 48 cm (D) 24 cm
9. If (𝑥 − 2) is a factor of the polynomial 2𝑥
2
+ 𝑘𝑥 − 15, then the value of 𝑘 is 1
7 −7
(A)7 (B) -7 (C) 2
(D) 2
10. It is given that ΔABC ≅ ΔFDE and AB = 5cm, ∠B=40° and ∠A=80°. Which of 1
the following is true?
(A) DF=5cm, ∠F=60° (B) DE=5cm, ∠D=40°
(C) DF=5cm, ∠E=60° (D) DE=5cm, ∠D=40°
11. In figure AOB and COE are straight lines and AB is perpendicular to BC, then x 1
is
(A) 25° (B) 22° (C) 18° (D) 32°
12. Two complementary angles are such that two times the measure of one is equal to 1
three times the measure of the other. The measure of the smaller angle is ,
(A)45° (B) 36° (C) 30° (D)72°
13. If the coordinates of a point P(x ,y) satisfy the relation 𝑥y> 0, then P may lie 1
(A) I or II quadrant (B) II or III quadrant
(C) I or III quadrant (D) I or IV quadrant
TERM-I (2025-26)
CLASS-IX (MATHEMATICS)
Maximum Marks:80 Time: 3 hours
General Instructions:
Read the following instructions carefully and follow them:
1. This question paper contains 38 questions. All Questions are
compulsory.
2. This Question Paper is divided into 5 Sections A, B, C, D and E.
3. In Section A, Question numbers 1-18 are multiple choice questions
(MCQs) and question no.19 and 20 are Assertion- Reason based
questions of 1 mark each.
4. In Section B, Question numbers 21-25 are very short answer (VSA)
type questions, carrying 02 marks each.
5. In Section C, Question numbers 26-31 are short answer (SA) type
questions, carrying 03 marks each.
6. In Section D, Question numbers 32-35 are long answer (LA) type
questions, carrying 05 marks each.
7. In Section E, Question numbers 36-38 are case study-based
questions carrying 4 marks each with sub parts of the values of 1, 1
and 2 marks each respectively.
8. There is no overall choice. However, an internal choice in 2 questions
of Section B, 2 questions of Section C and 2 questions of Section D
has been provided. An internal choice has been provided in all the 2
marks questions of Section E.
9. Draw neat and clean figures wherever required. Take 𝝅 =22/7,
wherever required if not stated.
10. Use of calculators is not allowed.
(Section – A)
Section A consists of 20 questions of 1 mark each.
Q.No. Questions Marks
1. If the ordered pair (x+3 , 5) = (2 , 2-y) then the value of xy is 1
(A) -3 (B) 3 (C) 2 (D) -2
2. The degree of the polynomial p(x) = 3 is 1
1
(A) 0 (B) 2 (C) 2 (D) 1
, 3. The sum of 0. 2 and 0. 5 is 1
10 7 7 3
(A) 7 (B) 9 (C) 99
(D) 10
4. 𝑥
𝑥
+1 1
If 10 = 64,then 10 2 is equal to
(A)18 (B) 42 (C) 80 (D) 81
5. If p(x) = x +3, then p(x) + p (-x) = 1
(A) 6 (B) 2x (C) 0 (D) 3
6. The number of dimension/dimensions of a point is/are 1
(A)3 (B) 2 (C) 0 (D) 1
7. Euclid stated that all right angles are equal to each other in the form of 1
(A)an axiom (B) a definition (C) a postulate (D) a proof
8. An isosceles right triangle has an area of 8sq.cm. The length of its hypotenuse is 1
(A) 32 cm (B) 16 cm (C) 48 cm (D) 24 cm
9. If (𝑥 − 2) is a factor of the polynomial 2𝑥
2
+ 𝑘𝑥 − 15, then the value of 𝑘 is 1
7 −7
(A)7 (B) -7 (C) 2
(D) 2
10. It is given that ΔABC ≅ ΔFDE and AB = 5cm, ∠B=40° and ∠A=80°. Which of 1
the following is true?
(A) DF=5cm, ∠F=60° (B) DE=5cm, ∠D=40°
(C) DF=5cm, ∠E=60° (D) DE=5cm, ∠D=40°
11. In figure AOB and COE are straight lines and AB is perpendicular to BC, then x 1
is
(A) 25° (B) 22° (C) 18° (D) 32°
12. Two complementary angles are such that two times the measure of one is equal to 1
three times the measure of the other. The measure of the smaller angle is ,
(A)45° (B) 36° (C) 30° (D)72°
13. If the coordinates of a point P(x ,y) satisfy the relation 𝑥y> 0, then P may lie 1
(A) I or II quadrant (B) II or III quadrant
(C) I or III quadrant (D) I or IV quadrant
