CBSE Class 10 Maths Basic Sample Paper 2025 by Experts: Practice for Last Minute Revision

CBSE Class 10th Maths Basic Board Exam 2025: The CBSE Class 10 Maths Basic Standard exam is scheduled for March 10, 2025 (Monday). As an important subject, it plays a major role in boosting overall board exam scores. To help students prepare effectively, we provide the CBSE Class 10 Maths Basic Sample Paper with Solutions. Designed by experts, this resource is ideal for last-minute revision and practising important questions. The solutions offer clarity on correct answers. Download the CBSE Class 10 Maths Basic Paper PDF from the links below to strengthen your preparation and score well in the exam.

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Prominent Features of CBSE Class 10 Maths Basic Sample Paper 2025

• Prepared by Experienced Faculty – Designed by subject experts to ensure quality and accuracy.
• Based on the Latest Syllabus and Exam Pattern – Aligned with the CBSE Class 10 Maths Basic syllabus for 2025.
• Includes Important Questions – A valuable resource for practicing key topics and question types.
• Offers Additional Questions – Provides a variety of questions beyond those in the CBSE-issued sample paper.
• Comes with Solutions – Facilitates quick and effective revision by providing well-structured answers.
• Available in PDF Format – Easily downloadable for convenient access and offline practice.

CBSE Class 10 Maths Basic Sample Paper 2025 with Solutions

Check and download the Class 10 Maths Basic Standard Sample Paper with Solutions to Boost your preparation for the upcoming CBSE Class 10 Maths Basic Exam 2025:

Section A

1. Find the largest number which divides 615 and 963 leaving remainder 6 in each case

(A) 18 (B) 81 (C) 58 (D) 87

2. If 𝛼 & 𝛽 are zeros of the polynomial x2 – 1, then the value of 𝛼 + 𝛽 is

(A) 2 (B) 1 (C) −1 (D) 0

3. The LCM of the smallest 2-digit number and the smallest composite number is

(A) 12 (B) 4 (C) 20 (D) 40

4.The LCM of 2 numbers 180 and 288 is

(A) 1440 (B) 1140 (C) 1240 (D) 1340

5.If a pair of linear equations in two variables is consistent, then the lines represented by the 2 equations are

(A)intersecting ( 𝐵) parallel (C) always coincident (D) intersecting or coincident

6. If x, 2x+9 , 4x+3 are three consecutive terms of an AP,then the value of x is

(A) 3 (B) 15 (C) 13 (D ) 10

7. Values of k for which the quadratic equation 2x2 – kx – k = 0 has equal roots

(A) 0 (B) 4 (C) 8 (D) 0 & −8

8.How many multiples of 4 lies between 10 and 250 ?

(A) 80 (B) 60 (C) 65 (D) 55

9. If tangents PA and PB from a pont P to a circle with centre O are inclined to each other at an angle of 80° ,then∟POA is equal to

(A)50° (B) 20° (C) 25° (D) 30°

10. Perimeter of a sector of a circle whose central angle is 90° and radius 7 cm is

(A) 35 cm (B)11 cm (C)22 cm (D) 25cm

11. 2 cos2 30 – 1 is equal to

(A) sin 60° (B) cos 60° (C) tan 60° (D) sec 60°

12. If the perimeter and the area of a circle are numerically equal,then the radius of the circle is

(A) 2units (B) ) 1unit (C) ) 4 units (D) ) 7 units

13.Assertion:A quadratic polynomial having 4 and 3 as zeroes is x2 – 7x +12
Reason: The quadratic polynomial having 𝜶 & 𝛽 as zeroes is given by x2 – (𝜶 + 𝜷 ) x + 𝜶 𝜷
(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.

14. Assertion: D and E are points on the sides AB and AC respectively of a ∆ ABC such that AD= 5.7cm, DB= 9.5cm AE=4.8cm and EC = 8cm. Then DE is not parallel to BC
Reason: If a line divides any two sides of a triangle in the same ratio, then it is parallel to the third side
(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.

15. The mean of of five observations x, x+2 , x+4, x+6 and x+8 is 11, then the value of x is

(A) 4 (B)7 (C)11 (D) 6

16. 2cos² 30 – 1 is equal to

(A) sin 60°&nbsp(B) cos 60°&nbsp(C) tan 60°&nbsp(D) sec 60°

17. Perimeterof a sector of a circle whose central angle is 90° and radius 7 cm is

(A) 35 cm  (B)11 cm (C)22 cm&nbsp(D) 25cm

18. Howmany multiples of 4 lies between 10 and 250 ?

(A) 80 (B) 60 (C)  65 (D)  55

19. The mean of of five observations x, x+2 , x+4, x+6 and x+8 is 11, then the value of x is

(A) 4 (B)7 (C)11  (D) 6

Section B 

21. Findthe ratio in which Y axis divides the line segment joining the points (5,−6) and (−1,−4).

OR

Point P (x,y) is equidistant from the points A (5.1) and B(1.5). Prove that x = y

22. Evaluate:

23. Theprobability of guessing the correct answer to a certain test is  ^𝑝 . If the probability of not 12 guessing the correct answer to this question is ¹ .then find the value of p 3

24. Provethat a parallelogram circumscribing the circle is a rhombus

OR

Prove that the lengths of tangents drawn from an external point to a circle are equal.

25. Findthe zeroes of the quadratic polynomial and verify the relation between zeroes and coefficients: 2x² − 3 + 5x

SECTION – C (6 questions of 3 mark each)

26. Provethat (sin A + cosec A )² + (cos A + sec A)² = 7 + tan²A + cot²A

27. (a)Prove that √2 is an irrational number OR

(b)Prove that (√3 − √2 )² is irrational,given that √6 is an irrational number.

28. Acircle is inscribed in a ∆ABC having sides BC = 8cm ,AB = 10 cm and AC =  Find the lengths of BL, CM and AN

29 .(a) Find the sum of first 16 terms of an AP whose 𝑛^𝑡ℎ term is given by 𝑎_𝑛= 5n – 3 OR

(b) If 9^𝑡ℎ term of an AP is zero, prove that its 29^th term is double of its 19^th term.

30. A sector of a circle with radius 6cm subtends an angle of 30° at the centre. (i)find the length of the arc

(ii) the area of the corresponding major sector

31. One card is drawn from a well shuffled deck of 52 cards Find the probability of getting

(a) a face card

• thequeen of diamonds
• aspade

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Important links for Upcoming Exam

• CBSE Class 10 Most Repeated Questions for 2025 Exams
• CBSE Class 10 Maths CBQs Chapter-Wise PDFs
•  CBSE Class 10 Maths Mind Maps
• CBSE Class 10 Maths Deleted Syllabus