English Medium
Academic Year: 2025-2026
Date & Time: 17th February 2026, 10:30 am
Duration: 3h
Advertisements
General Instructions:
Read the following instructions very carefully and strictly follow them:
- This question paper contains 38 questions. All questions are compulsory.
- This question paper is divided into five Sections – A, B, C, D and E.
- In Section A – Question Nos. 1 to 18 are multiple choice questions (MCQs) and question numbers 19 and 20 are Assertion – Reason based questions of 1 mark each.
- In Section B – Question Nos. 21 to 25 are Very Short Answer (VSA) type questions, carrying 2 marks each.
- In Section C – Question Nos. 26 to 31 are Short Answer (SA) type questions, carrying 3 marks each.
- In Section D – Question Nos. 32 to 35 are Long Answer (LA) type questions, carrying 5 marks each.
- In Section E – Question Nos. 36 to 38 are Case Study Based questions carrying 4 marks each. Internal choice is provided in 2 marks question in each case-study.
- There is no overall choice. However, an internal choice has been provided in 2 questions in Section B, 2 questions in Section C, 2 questions in Section D and 3 questions of 2 marks in Section E.
- Draw neat diagrams wherever required. Take π = `22/7` wherever required, if not stated.
-
Use of calculator is not allowed.
For any natural number n, 6n ends with the digit ______.
0
6
3
2
Chapter:
The graph of y = f(x) is given.
The number of zeroes of f(x) is:
0
1
2
4
Chapter:
If a pair of linear equations in two variables is represented by two coincident lines, then the pair of equations has ______.
a unique solution
two solutions
no solution
an infinite number of solutions
Chapter:
The common difference of the AP `sqrt2, 2sqrt2, 3sqrt2, 4sqrt2,` .... is ______.
`sqrt2`
1
`2sqrt2`
`-sqrt2`
Chapter:
If ∆ ABC and ∆ DEF are similar such that 2AB = DE and BC = 8 cm, then EF = ______.
16 cm
12 cm
8 cm
4 cm
Chapter:
The mid-point of the line segment joining the points (5, 4) and (6, 4) lies on ______.
x-axis
y-axis
origin
neither x-axis nor y-axis
Chapter:
Given that sin θ = `a/b` then cos θ is equal to ______.
`b/sqrt(b^2 - a^2)`
`b/a`
`sqrt(b^2 - a^2)/b`
`a/sqrt(b^2 - a^2)`
Chapter:
If cos A = `1/2` then the value of sin2 A + 2 cos2 A is ______.
`3/2`
`5/4`
−1
`1/2`
Chapter:
The string of a flying kite is tied to a point on the ground. The length of the string between the kite and the point on the ground is 80 m. The string makes an angle of 30° with the ground. The height of the kite above the ground is ______.
`20sqrt3` m
40 m
`40sqrt3` m
`80sqrt3` m
Chapter:
If TP and TQ are two tangents to a circle with centre O from an external point T so that ∠ POQ = 120°, then ∠ PTQ is equal to ______.
60°
70°
80°
90°
Chapter:
In the given figure, PA is a tangent from an external point P to a circle with centre O. If ∠ POB = 125°, then ∠ APO is equal to:
25°
65°
90°
35°
Chapter:
Shown in the given figure is a circle with centre O. The area of the minor sector is 7 cm2. Area of circle is:
84 π cm2
`84/11 cm^2`
84 cm2
`sqrt84/pi cm^2`
Chapter:
In the given figure, O is the centre of circle. XYZ is an arc of the circle subtending an angle of 45° at the centre. If the radius of the circle is 32 cm, then the length of the arc XYZ is:
4 π cm
8 π cm
64 π cm
128 π cm
Chapter:
The radius of a sphere (in cm) whose volume is 36 π cm3, is ______.
3
`3sqrt3`
`3^(2/3)`
`3^(1/3)`
Chapter:
If the mean and mode of a data are 12 and 21 respectively, then its median is ______.
6
13.5
15
14
Chapter:
Advertisements
A die is thrown once. Probability of getting a number other than 3 is ______.
`1/6`
`3/6`
`5/6`
1
Chapter:
The natural number 2 is ______.
a prime number
a composite number
prime as well as composite
neither prime nor composite
Chapter:
Assertion (A): The polynomial p(y) = y2 + 4y + 3 has two zeroes.
Reason (R): A quadratic polynomial can have at most two zeroes.
Both, Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
Both, Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
Assertion (A) is true, but Reason (R) is false.
Assertion (A) is false, but Reason (R) is true.
Chapter:
Assertion (A): The probability that a leap year has 53 Sundays is `2/7`.
Reason (R): The probability that a non-leap year has 53 Sundays is `5/7`.
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
Assertion (A) is true but Reason (R) is false.
Assertion (A) is false but Reason (R) is true.
Chapter:
Do the points P (1, 0), Q (−5, 0) and R (−2, 5) form a triangle? If so, name the type of triangle formed.
Chapter:
If `tan theta = 24/7`, find that sin θ + cos θ.
Chapter: [9] Introduction to Trigonometry
If cot θ = `7/8` evaluate `((1+sin θ )(1-sin θ))/((1+cos θ)(1-cos θ))`.
Chapter: [9] Introduction to Trigonometry
Two concentric circles are of radii 5 cm and 4 cm. Find the length of the chord of the larger circle which touches the smaller circle.
Chapter:
Find a quadratic polynomial whose zeroes are `(5 - 2sqrt3) and (5 + 2sqrt3)`.
Chapter:
In the given figure, ABC is a triangle in which DE || BC. If AD = x, DB = x – 2, AE = x + 2 and EC = x – 1, then find the value of x.
Chapter:
In the figure given above, Δ АВС ~ Δ XYZ, then find the values of x and y.
Chapter:
If x = h + a cos θ, y = k + b sin θ.
Prove that `((x - h)/a)^2 + ((y - k)/b)^2 = 1`.
Chapter: [9] Introduction to Trigonometry
Prove that:
`(tan A)/(1 + sec A) - (tan A)/(1 - sec A)` = 2 cosec A
Chapter:
In the given figure, Δ ABC is a right triangle in which ∠ B = 90°, AB = 4 cm and BC = 3 cm. Find the radius of the circle inscribed in the triangle ABC.
Chapter:
Advertisements
In the given figure, if a circle touches the side QR of Δ PQR at S and extended sides PQ and PR at M and N respectively, then prove that:
PM = `1/2` (PQ + QR + PR)
Chapter:
A right circular cylinder and a right circular cone have equal bases and equal heights. If their curved surfaces are in the ratio 8 : 5, determine the ratio of the radius of the base to the height of either of them.
Chapter:
Two different coins are tossed simultaneously. What is the probability of getting:
- at least one head?
- at most one tail?
- a head and a tail?
Chapter:
Find the ratio in which the x-axis divides the line segment joining the points (−6, 5) and (−4, −1), Also, find the point of intersection.
Chapter:
In the given figure, CM and RN are respectively the medians of ΔABC and ΔPQR. If ΔABC ∼ ΔPQR, then prove that ΔAMC ∼ ΔPNR.
Chapter:
In the given figure, CM and RN are respectively the medians of Δ ABC and Δ PQR. If Δ ABC ~ Δ PQR, then prove that Δ CMB ~ Δ RNQ.
Chapter:
The marks obtained by 80 students of class X in a mock test of Mathematics are given below in the table. Find median and the mode of 5 the data:
| Marks | Number of Students |
| 0 and above | 80 |
| 10 and above | 77 |
| 20 and above | 72 |
| 30 and above | 65 |
| 40 and above | 55 |
| 50 and above | 43 |
| 60 and above | 28 |
| 70 and above | 16 |
| 80 and above | 10 |
| 90 and above | 8 |
| 100 and above | 0 |
Chapter:
Draw the graph of the pair of linear equations x − y + 2 = 0 and 4x − y − 4 = 0. Calculate the area of the triangle formed by the lines so drawn and the x-axis.
Chapter:
A fast train takes one hour less than a slow train for a journey of 200 km. If the speed of the slow train is 10 km/hr less than that of the fast train, find the speed of the two trains.
Chapter: [4] Quadratic Equations
Sum of the areas of two squares is 640 m2. If the difference of their perimeters is 64 m. Find the sides of the two squares.
Chapter: [4] Quadratic Equations
|
A brooch is crafted from silver wire in the shape of a circle with a diameter of 35 cm. The wire is also used to create 5 diameters, dividing the circle into 10 equal sectors as shown in figure.
|
Based on the above information, answer the following questions:
- What is the radius of circle? 1
- What is the circumference of the brooch? 1
-
- What is the total length of silver wire required? 2
OR - What is the area of each sector of the brooch? 2
- What is the total length of silver wire required? 2
Chapter:
|
In a potato race, a bucket is placed at the starting point, which is 5 m from the first potato. The other potatoes are arranged 3 m apart in a straight line, with a total of 10 potatoes, as shown in the figure:
A competitor starts from the bucket, picks up the nearest potato, runs back to the bucket to drop it in, then returns to pick up the next potato. This process continues until all the potatoes are in the bucket. |
Based on the above information, answer the following questions:
- What is the distance covered to pick up the first potato and drop it in bucket? 1
- What is the distance covered to pick up the second potato and drop it in bucket? 1
-
- What is the total distance the competitor has to run? 2
OR - If average speed of competitor is 5 m/s, then find the average time taken by competitor to put all the potatoes in the bucket. 2
- What is the total distance the competitor has to run? 2
Chapter:
|
Radio towers are used for transmitting a range of communication services including radio and television. The tower will either act as an antenna itself or support one or more antennas on its structure. On a similar concept, a radio station tower was built in two sections ‘A’ and ‘B’. Tower is supported by wires from a point ‘O’ (as shown in figure).
Distance between the base of the tower and point ‘O’ is 6 m. From point ‘O’, the angle of elevation of the top of the section ‘B’ is 30° and the angle of elevation of the top of section ‘A’ is 60°. |
Based on the above information, answer the following questions:
- Find the length of the wire from the point ‘O’ to the top of section ‘B’. 1
- Find the length of the wire from the point ‘O’ to the top of section ‘A’. 1
-
- Find the distance AB. 2
OR - Find the area of Δ OРВ. 2
- Find the distance AB. 2
Chapter:
Other Solutions
Submit Question Paper
Help us maintain new question papers on Shaalaa.com, so we can continue to help studentsonly jpg, png and pdf files
CBSE previous year question papers Class 10 Mathematics with solutions 2025 - 2026
Previous year Question paper for CBSE Class 10 Maths-2026 is solved by experts. Solved question papers gives you the chance to check yourself after your mock test.
By referring the question paper Solutions for Mathematics, you can scale your preparation level and work on your weak areas. It will also help the candidates in developing the time-management skills. Practice makes perfect, and there is no better way to practice than to attempt previous year question paper solutions of CBSE Class 10.
How CBSE Class 10 Question Paper solutions Help Students ?
• Question paper solutions for Mathematics will helps students to prepare for exam.
• Question paper with answer will boost students confidence in exam time and also give you an idea About the important questions and topics to be prepared for the board exam.
• For finding solution of question papers no need to refer so multiple sources like textbook or guides.
