CBSE Class 10 Maths (Standard) Sample Paper and Marking Scheme 2024-25, FREE PDF Download

CBSE Class 10 Maths Sample Paper 2024-25: The Central Board of Secondary Education (CBSE) sample papers for the 2024-25 session are out for the students to download and solve. Students can compare their answers with the marking scheme provided along with the sample question papers to uplift their writing and presentation skills. CBSE evaluators expect a distinct and descriptive answer; marking schemes are the best to understand that.

The CBSE 10th Maths Standard sample question paper with marking scheme 2024-25 is provided here. The question paper structure is also given for clarity over the paper design.

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CBSE Class 10 Maths (Standard) Question Paper Design 2024-25

A detailed question paper structure for the CBSE Class 10 Mathematics (Standard) is provided below. It highlights the number of sections, question numbers and types per section, marks allocated per question, and total questions in the paper. Read it and understand the question paper in advance.

Additional Instructions

• All Questions are compulsory.
• Draw neat and clean figures where necessary.
• Use π = 22/7 if not specified.
• Calculators are not allowed.

CBSE Class 10 Maths Sample Paper 2024-25

The sample questions for Mathematics Basic Class 10 are given below which can be solved and their answers can be checked from the marking scheme.

	Section A
	Section A consists of 20 questions of 1 mark each.
1	The graph of a quadratic polynomial p(x) passes through the points (-6,0), (0, -30), (4,-20) and (6,0). The zeroes of the polynomial are A) - 6,0 B) 4, 6 C) - 30,-20 D) - 6,6	1
2	The value of k for which the system of equations 3x-ky= 7 and 6x+ 10y =3 is inconsistent, is A) -10 B) -5 C) 5 D) 7	1
3	Which of the following statements is not true? A number of secants can be drawn at any point on the circle. Only one tangent can be drawn at any point on a circle. A chord is a line segment joining two points on the circle From a point inside a circle only two tangents can be drawn.	1
4	If nth term of an A.P. is 7n-4 then the common difference of the A.P. is A) 7 B) 7n C) - 4 D) 4	1
5	The radius of the base of a right circular cone and the radius of a sphere are each 5 cm in length. If the volume of the cone is equal to the volume of the sphere then the height of the cone is A) 5 cm B) 20 cm C) 10 cm D) 4 cm	1
6	If tan𝜃 =5/2 then (4 𝑠𝑖𝑛𝜃 + 𝑐𝑜𝑠𝜃/4 𝑠𝑖𝑛𝜃 + 𝑐𝑜𝑠𝜃) is equal to A) 11/9 B) 3/2 C) 9/11 D) 4	1
7	In the given figure, a tangent has been drawn at a point P on the circle centred at O. If ∠ TPQ= 110𝑂 then ∠POQ is equal to A) 110𝑂 B) 70𝑂 C) 140𝑂 D)55𝑂	1
8	A quadratic polynomial having zeroes - √5/2 and √5/2 is A) 𝑥2 − 5√2 x +1 B) 8𝑥2 - 20 C) 15𝑥2- 6 D) 𝑥2 - 2√5 x -1	1
9	Consider the frequency distribution of 45 observations. Class 0-10 10-20 20-30 30-40 40-50 Frequency 5 9 15 10 6 The upper limit of median class is A) 20 B) 10 C) 30 D) 40	1
10	O is the point of intersection of two chords AB and CD of a circle. If ∠𝐵𝑂𝐶 = 80𝑂 and OA = OD then 𝛥𝑂𝐷𝐴 𝑎𝑛𝑑 𝛥𝑂𝐵𝐶 are A) equilateral and similar B) isosceles and similar C) isosceles but not similar D) not similar	1
11	The roots of the quadratic equation 𝑥2+x-1 = 0 are A) Irrational and distinct B) not real C ) rational and distinct D) real and equal	1
12	If 𝜃 = 30𝑜 then the value of 3tan𝜃 is A)1 B) 1/√3 C ) 3/√3 (D) not defined	1
13	The volume of a solid hemisphere is 396/7 𝑐𝑚3.The total surface area of the solid hemisphere (in sq.cm) is   A)396/7 B) 594/7 C) 549/7 D) 604/7	1
14	In a bag containing 24 balls, 4 are blue, 11 are green and the rest are white. One ball is drawn at random. The probability that drawn ball is white in colour is 𝐴) 1/6 B) 3/8 C ) 11/24 D) 5/8	1
15	The point on the x- axis nearest to the point (-4,-5) is A) (0, 0) B) (-4, 0) C ) (-5, 0) D) (√41, 0)	1
16	Which of the following gives the middle most observation of the data? A) Median B) Mean C) Range D) Mode	1
17	A point on the x-axis divides the line segment joining the points A(2, -3) and B(5, 6) in the ratio 1:2. The point is 7 3 A) (4, 0) B) ( 7/2,3/2 ) C) (3, 0) D) (0,3)	1
18	A card is drawn from a well shuffled deck of playing cards. The probability of getting red face card is 𝐴) 3/13 B) 1/2 C) 3/52 D) 3/26	1
	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 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 and 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.
19	Assertion (A): HCF of any two consecutive even natural numbers is always 2. Reason (R): Even natural numbers are divisible by 2.	1
20	Assertion (A): If the radius of sector of a circle is reduced to its half and angle is doubled then the perimeter of the sector remains the same. Reason (R): The length of the arc subtending angle θ at the centre of a circle of radius r = π𝑟𝜃/180	1

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Also Check:

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