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Class IX Mathematics – Sample Question Paper (Set 1) Session Ending Exam 2025–26

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This sample question paper for Class IX Mathematics (Set 1, Session Ending Exam 2025–26) is designed as a comprehensive practice resource that mirrors the actual exam format. It contains a balanced mix of multiple-choice, short-answer, and case-based questions spread across five sections, covering algebra, geometry, mensuration, statistics, and real-life applications of mathematics. Each question is structured to test conceptual clarity, problem-solving ability, and logical reasoning, while the detailed solutions provided follow an NCERT-style step-by-step approach to aid revision and self-assessment. By integrating theoretical problems with practical scenarios—such as child labour data analysis, painting costs of a cylindrical vessel, and geometric applications in construction—the paper not only prepares students for examinations but also enhances their ability to apply mathematics in everyday contexts

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, Session Ending Exam 2025-26
Class IXClass IX 2024-25
Session
Subject - Mathematics
Sample Question Paper -12



Time Allowed: 3 hours Maximum Marks: 80

General Instructions:

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 carrying 04 marks each.

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 2 marks questions of Section E.

8. Draw neat figures wherever required. Take π =22/7 wherever required if not stated.

Section A
1. = [1]

a) 5 b)

c) d) 6
2. The graph of y = 6 is a line [1]

a) Parallel to x-axis at a distance 6 units from b) Making an intercept 6 on the x- axis.
the origin

c) Making an intercept 6 on both the axes. d) Parallel to y-axis at a distance 6 units from
the origin
3. Point (- 10,0) lies [1]

a) on the negative direction of the y-axis b) on the negative direction of the X-axis

c) in the third quadrant d) in the fourth quadrant
4. In a histogram the class intervals or the groups are taken along [1]

a) X-axis b) Y-axis

c) both of X-axis and Y-axis d) in between X and Y axis
5. If (2, 0) is a solution of the linear equation 2x + 3y = k, then the value of k is [1]

a) 2 b) 4

c) 5 d) 6



Page 1 of 18

, 6. The line segment with one end point at the centre and the other at any point on the circle is called ________. [1]

a) diameter b) sector

c) chord d) radius
7. Given POR = 3x and QOR =2x + 10°. If POQ is a straight line, then the value of x is [1]




a) 36° b) 30°

c) 34° d) 42o

8. A diagonal of a Rectangle is inclined to one side of the rectangle at an angle of . The Acute Angle between [1]
the diagonals is :

a) b)

c) d)
9. The remainder when is divided by is [1]

a) -32 b) 31

c) 30 d) 0
10. A linear equation in two variables is of the form ax + by + c = 0, where [1]

a) a 0 and b = 0 b) a = 0 and b = 0

c) a 0 and b 0 d) a = 0 and b 0
11. In figure, if AE||DC and AB = AC, the value of ABD is [1]




a) 110° b) 120°

c) 130° d) 70°
12. Two adjacent angles of a parallelogram are in the ratio 4 : 5. The angles are [1]

a) 90°, 90° b) 80°, 100°

c) 60°, 120° d) 40°, 140°
13. In the given figure, a circle is centred at O. The value of x is : [1]




Page 2 of 18

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Number of pages
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Written in
2025/2026
Type
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