CBSE Class 10 Maths Standard Practice Paper PDF: CBSE Class 10 Maths Exam 2024 is scheduled for March 11, 2024. This is going to be one of the most crucial exams for class 10 students in deciding their overall performance in CBSE 10th class and their future educational pursuits. To perform well in this important exam, students are advised to thoroughly practice with the sample papers, previous years’ question papers and the practice papers. We have provided here the CBSE Class 10 Maths Standard Practice Paper which has been curated by subject experts analysing the previous years' question patterns and the latest CBSE syllabus. By solving this comprehensive practice paper, students can assess their preparedness for the CBSE Class 10 Maths Exam 2024 and enhance their problem-solving skills. Solutions to all questions are also provided here to facilitate a better understanding of the concepts and help students identify and rectify any errors in their answers. Download the practice paper and solutions in PDF here.
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CBSE Class 10 Maths Standard Practice Paper 2024
1. What is the degree of the constant polynomial?
(a) 2
(b) 1
(c) 0
(d) 4
Answer: (c) 0
2. Which of the following cannot be the probability of an event?
(a) 23
(b) –1.5
(c) 15
(d) 0.7
Answer: (b) –1.5
3. Which one of the following options is true?
y =3x+5 has:
(a) unique solution
(b) infinite solutions
(c) two solution
(d) none
Answer: (b) infinite solutions
4. For what values of k will the following pair of linear equations have infinitely many solutions?
(i) kx + 3y – (k – 3) = 0
(ii) 12x + ky – k = 0
(a) -6
(b) 0
(c) 6
(d) All of these
Answer: (d) All of these
5. What is the common difference of following AP:
3, 3+√2, 3+2√2, 3+3√2, ...............
(a) 3
(b) 2
(c) √2
(d) 2√2
Answer: (c) √2
6. If Tn is the nth term of an AP and Tn = 2n -3 then what is the common difference of the A.P?
(a) -2
(b) 5
(c) 3
(d) 2
Answer: (d) 2
7. If TP and TQ are the two tangents to a circle with centre O so that ∠POQ = 110°, then ∠ PTQ is equal to:
(a) 60°
(b) 70°
(c) 80°
(d) 90°
Answer: (b) 70°
8. Find the value of k for which the quadratic equation 2x2-kx+k=0 has equal roots.
(a) only 0
(b) only 8
(c) 0 and 8
(d) can’t find
Answer: (c) 0 and 8
9. What is the product of zeroes of the polynomial 2x2-7x+6?
(a) 12
(b) 9
(c) 3
(d) -7
Answer: (c) 3
10. The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is :
(a)5 units
(b) 12 units
(c) 11 units
(d) (7 + 5) units
Answer: (b) 12 units
11. In a ∆ABC, If tan A = cot B, then A + B is equal to :
(a) 60°
(b) 120°
(c) 90°
(d) 75°
Answer: (c) 90°
12. If sin A = 35 then cosA is equal to :
(a) 0
(b) 1
(c) 45
(d) 58
Answer: (c) 45
13. On comparing the ratios a1/a2, b1/b2 and c1/c2 find out whether the following pair of linear equations is consistent, or inconsistent.
2x + 5y - 5 = 0 and 4x + 10y + 7 = 0
(a) Consistent
(b) Inconsistent
(c) Nothing to say
(d) None
Answer: (b) Inconsistent
14. If x= 1/√3 is a root of the equation Px2+ (√3- √2)x -1=0 , then the value of P2 +1 is :
(a) 6
(b) 6
(c) 7
(d) 8
Answer: (a) 6
15. In the given figure, PA and PB are tangents to the given circle such that PA = 5 cm and ∠APB = 60°. The length of chord AB is :
(a) 5√2 cm
(b) 5 cm
(c) 5√3 cm
(d) 7.5 cm
Answer: (b) 5 cm
16. If two positive integers p and q can be expressed as p = ab2 and q = a3b, where a, b being prime numbers, then LCM (p, q) is equal to:
(a) ab
(b) a2b2
(c) a3b2
(d) a3b3
Answer: (c) a3b2
17. Simplest rationalizing factor of √8 is:
(a) √8
(b) √2
(c) 3√2
(d) √32
Answer: (b) √2
18. If LCM of 12 and 42 is 10m+4 then value of m is :
(a) 6
(b) 7
(c) 0
(d) 8
Answer: (d) 8
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
19. Statement A (Assertion): Ravi goes 30 m due East and then 40 m due North. His distance from the starting point is 50 m.
Statement R( Reason): In right angled triangle ABC, right angled at B, AB2 = BC2 + AC2
(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.
Answer: (c) Assertion (A) is true but reason (R) is false.
20. If Sn is the sum of the first n terms of an A.P., then its nth term an is given by an = Sn – Sn-1
Reason: The 10th term of the A.P. 5, 8, 11, 14, ………………. is 35.
(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.
Answer: (c) Assertion (A) is true but reason (R) is false.
To check all questions and answers, go to the following links:
CBSE Class 10 Maths Practice Paper 2024 PDF | Solutions PDF |
Also Check:
CBSE Class 10 Maths Sample Paper for Board Exam 2024
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