CBSE Class 10 Maths Answer Key 2024 and Question Papers, Download PDF All SETs

CBSE Class 10 Maths Exam 2024: The CBSE Class 10 results are out and students who got the passing marks are happy. Around 93% students got the passing score and less 7% are still in the race to clear their Senior Secondary examination. The chance is, compartment exams. Check here the CBSE Class 10 Maths answer key of the latest 2024 question paper and prepare well.

The CBSE Class 10 Maths 2024 exam conducted on March 11, 2024. The exam was given offline at various centres all across India. The students will also get to know the difficulty level of the exam paper and download the question paper PDFs from this article. Scroll down and leave the bewildered situation by getting the right answers.

CBSE Class 10 Maths Exam 2024: Highlights

The basic highlights from the March 11, 2024 exam. 

CBSE Class 10 Maths Answer Key 2024

The CBSE Class 10 Maths paper 2024 was conducted on March 11, 2024. The paper had five sections from A to E. Here, you will get the set-wise and section-wise solutions that can be used to compare your answers and have a rough idea of your final score.

CBSE 10th Maths Standard SET 1 Answer Key 2024 (30/1/1)

SECTION-A

1.If the sum of zeroes of the polynomial p(x) = 2x²-k√2x+1 is √2, then value of k is:

(a) √2

(b) 2

(c) 2√2

(d) 1/2

Answer: (b) 2

2.If the probability of a player winning a game is 0.79, then the probability of his losing the same game is:

(a) 1.79

(b) 0.31

(c) 0.21%

(d) 0.21

Answer: (d) 0.21

3.If the roots of equation ax² + bx + c = 0, a ≠ 0 are real and equal, then which of the following relation is true?

(a) a = b2/c

(b) b2 = ac

(c) ac = b2/4

(d) c = b2/a

Answer: (c) ac = b2/4

4.In an A.P., if the first term a = 7, nth term a = 84 and the sum of first n terms Sn=2093/2 then n is equal to

(a) 22

(b) 24

(c) 23

(d) 26

Answer: (c) 23

5.If two positive integers p and q can be expressed as p = 18 a2b4 and q=20a3b2, where a and b are prime numbers, then LCM (p, q) is:

(a) 2a²b²

(b) 180a²b²

(c) 12a²b²

(d) 180a³b⁴

Answer: (d) 180a³b⁴

 6.AD is a median of AABC with vertices A(5, 6), B(6, 4) and C(0, 0), Length AD is equal to :

(a) √68 units

(b) 2√15 units

(c) √101 units

(d) 10 units

Answer: (a) √68 units

7.If sec θ-tan θ=m, then the value of sec θ + tan θ is:

(a) 1-1/m

(b) m²-1

(c) 1/m

(d) - m

Answer: (c) 1/m

8.From the data 1, 4, 7, 9, 16, 21, 25, if all the even numbers are removed, then the probability of getting at random a prime number from the remaining is:

(a) 2/3

(b) 1/5

(c) 1/7

(d) 2/7

Answer: (b) 1/5

9.

Answer: (d) 0

10. The zeroes of a polynomial x² + px + q are twice the zeroes of the polynomials 4x²-5x-6. The value of p is:

(a) -5/2

(b) 5/2

(c) -5

(d) 10

Answer: (a) -5/2

11.If the distance between the points (3,-5) and (x,-5) is 15 units, then the values of x are:

(a) 12,-18

(b) -12, 18

(c) 18, 5

(d) -9,-12

Answer: (b) -12, 18

12. If cos (α+β) = 0, then value of cos[(α+β)/2] is equal to :

(a) 1/√2

(b) 1/2

(c) 0

(d) √2

Answer: (a) 1/√2

13.A solid sphere is cut into two hemispheres. The ratio of the surface areas of sphere to that of two hemispheres taken together, is:

(a) 1:1

(b) 1:4

(c) 2:3

(d) 3:2

Answer: (c) 2:3

14.The middle most observation of every data arranged in order is called:

(a) mode

(b) median

(c) mean

(d) deviation

Answer: (b) median

15.The volume of the largest right circular cone that can be carved out from a solid cube of edge 2 cm is:

(a) 4π/3 cu cm

(b) 5π/3 cu cm

(c) 8π/3 cu cm

(d) 2π/3 cu cm

Answer: (d) 2π/3 cu cm

16. Answer: (a)7/36

17. Answer: (c) -2,0

18. Answer: (d) inconsistent but can be made consistent by extending these lines.

19. Answer: (b)

20. Answer: (a)

CBSE 10th Maths Standard Answer Key 2024 (30/4/1)

1. If ax + by = a²-b² and bx + ay = 0, then the value of x + y is:

Answer: (C) a-b

2. The HCF of two numbers 65 and 104 is 13. If LCM of 65 and 104 is 40x, then the value of x is:

Answer: (B) 13

3. If a polynomial p(x) is given by p(x) = x²- 5x + 6, then the value of p(1) + p(4) is:
Answer: (B) 4

4. If the discriminant of the quadratic equation 3x² – 2x + c = 0 is 16, then the value of c is:
Answer: (C) -1

5. If an arc subtends an angle of 90° at the centre of a circle, then the ratio of its length to the circumference of the circle is :
Answer:  (B) 1:4

6. The area of the sector of a circle of radius 12 cm is 60 cm². The central angle of this sector is :
Answer: (D) 150°

7. If the difference of mode and median of a data is 24, then the difference of its median and mean is:
Answer: (A) 12

8. Two dice are tossed simultaneously. The probability of getting odd numbers on both the dice is:
Answer:  (D) 9/36

8. Two dice are tossed simultaneously. The probability of getting odd numbers on both the dice is :
Answer: (D) 9/36

9. The ratio of total surface area of a solid hemisphere to the square of its radius is:
Answer:  (C) 3π : 1

10. If sine = 1, then the value of [(1/2)*(sin(0/2))] is:
Answer: (A) 1/2/2
11. Two lines are given to be parallel. The equation of one of these lines is 5x – 3y = 2. The equation of the second line can be :
Answer: (D) 15x9y = 5
12. Three numbers in A.P. have the sum 30. What is its middle term?
Answer: (B) 10
13. In A ABC, DE || BC (as shown in the figure). If AD = 4 cm, AB = 9 cm and AC = 13.5 cm, then the length of EC is:
Answer: (B) 7.5 cm
14. At some time of the day, the length of the shadow of a tower is equal to its height. Then, the Sun’s altitude at that time is :
Answer: (B) 45°
15. In the given figure, AB and AC are tangents to the circle. If ∠ABC = 42°, then the measure of BAC is:
Answer: (A) 96°
16. The fourth vertex D of a parallelogram ABCD whose three vertices are A(-2, 3), B(6, 7) and C(8, 3) is:

Answer: (B) (0, -1)
17. For an event E, if P(E) + P(E) = q, then the value of q² – 4 is:
Answer: (A) -3

18. In the given figure, QR is a common tangent to the two given circles touching externally at A. The tangent at A meets QR at P. If AP = 4.2 cm, then the length of QR is :
Answer: (C) 8.4 cm
19. Assertion : Mid-point of a line segment divides the line segment in the ratio 1: 1.
Reason (R): The ratio in which the point (-3, k) divides the line segment joining the points (-5, 4) and (-2, 3) is 1: 2.

Answer: (C) Assertion (A) is true, but Reason (R) is false.
20. Assertion (A): If the circumference of a circle is 176 cm, then its radius is 28 cm.
Reason (R): Circumference = 2 x radius of a circle.
Answer: (A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A)

CBSE 10th Maths Standard SET 1 Answer Key 2024 (30/5/1)

1. The next (4th) term of the A.P. √18, √50, √98, is:
(A) √128
(B) √140

(C) 
(D) √200

Answer: 

2. If 3 = 2 sin A, 3 = 2 cos A, then the value of x2 + y2 is:
(A) 36
(B) 9
(C) 6
(D) 18

Answer: (A) 36

3. If 4 sec θ – 5 = 0, then the value of cot θ is:
(A) 3/4
(C) 5/3
(B) 4 /5
(D) 4/ 3

Answer: (D) 4/ 3

4. Which out of the following type of straight lines will be represented by the system of equations 3x + 4y = 5 and 6x + 8y = 7 ?
(A) Parallel
(B) Intersecting
(C) Coincident
(D) Perpendicular to each other

Answer: (A) Parallel

5. The ratio of the sum and product of the roots of the quadratic equation 5×2-6x+21 = 0 is :
(A) 5:21
(C) 21:5
(B) 2:7
(D) 7:2

Answer: (B) 2:7

6. For the data 2, 9, x + 6, 2x + 3, 5, 10, 5; if the mean is 7, then the value of x is:
(A) 9
(B) 6
(C) 5
(D) 3

Answer: (D) 3

7. One ticket is drawn at random from a bag containing tickets numbered 1 to 40. The probability that the selected ticket has a number which is a multiple of 7 is:
(A) 1/7
(C) 1 /5
(B) 1/ 8
(D) 7/ 40

Answer: (B) 1/ 8

8. The perimeter of the sector of a circle of radius 21 cm which subtends an angle of 60° at the centre of circle, is:
(A) 22 cm
(B) 43 cm
(C) 64 cm
(D) 462 cm

Answer: (C) 64 cm

9. The length of an arc of a circle with radius 12 cm is 10 cm. The angle subtended by the arc at the centre of the circle, is :
(A) 120°
(B) 6°
(C) 75°
(D) 150°

Answer: (D) 150°

10. The greatest number which divides 281 and 1249, leaving remainder 5 and 7 respectively, is :
(A) 23
(B) 276
(C) 138
(D) 69

Answer: (C) 138

11. The number of terms in the A.P. 3, 6, 9, 12, …, 111 is:
(A) 36
(C) 37
(B) 40
(D) 30

Answer: (C) 37

12. A chord of a circle of radius 10 cm subtends a right angle at its centre. The length of the chord (in cm) is :

(A) 5√2
(B) 10/2
(C) 5 √2
(D) 5

Answer: (B) 10/2

13. The LCM of three numbers 28, 44, 132 is:
(A) 258
(B) 231
(C) 462
(D) 924

Answer: (D) 924

14. If the product of two co-prime numbers is 553, then their HCF is :
(A) 1
(C) 7
(B) 553
(D) 79

Answer: (A) 1

15. If a and ẞ are the zeroes of the polynomial p(x) = kx² – 30x + 45k and α + β = αβ, then the value of k is :
(A) -2/3
(C) 3/2
(B) -3/2
(D) 2/3

Answer: (D) 2/3

16. In the given figure, RJ and RL are two tangents to the circle. If RJL = 42°, then the measure of ✓ JOL is:

(A) 42°
(B) 84°
(C) 96°
(D) 138°

Answer: (B) 84°

17. In the given figure, in A ABC, DE || BC. If AD = 2.4 cm, DB = 4 cm and AE = 2 cm, then the length of AC is :

(A)10/3 cm

(B) 3/10cm
(C) 16/3 cm
(D) 1.2 cm

Answer: (C) 16/3 cm

18. If a vertical pole of length 7.5 m casts a shadow 5 m long on the ground and at the same time, a tower casts a shadow 24 m long, then the height of the tower is:
(A) 20 m
(B) 40 m
(C) 60 m
(D) 36 m

Answer: (D) 36 m

19. Assertion (A): ABCD is a trapezium with DC || AB. E and F are points on AD and BC respectively, such that EF || AB. Then AE / ED =BF/FC
Reason (R): Any line parallel to parallel sides of a trapezium divides the non-parallel sides proportionally.

Answer: (A)
20. Assertion (A): Degree of a zero polynomial is not defined.
Reason (R):Degree of a non-zero constant polynomial is 0.

Answer: (B)

CBSE 10th Maths Standard Answer Key 2024 (30/4/3)

CBSE Class 10 Maths Question Paper 2024

People looking for the question paper PDFs for CBSE Class 10 Maths 2024 exam can check the link below. The PDFs of multiple sets have been uploaded for free download.

CBSE Class 10 Maths Exam Analysis 2024

Knowing the difficulty level of the paper and having an idea of how the paper was written is important information that benefits the current batch and future students. To know the complete exam analysis for Class 10 Mathematic, CBSE 2024, check the link below:

This answer key is provisional, and the final verdict will be given by the board by releasing the CBSE Class 10 result 2024. Till then, students should enjoy their higher-standard curriculum. 

Must Read: Top 50+ CBSE Class 10 MCQs for Board Exam 2024 with Answers to Secure Good Marks

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