CBSE Class 10 Maths Exam Answer Key 2024: Paper Detailed Analysis

CBSE Class 10 Maths Exam Answer Key: The Central Board of Secondary Education CBSE conducted the March 11, 2024, class 10th mathematics examination from 10:30 am to 1:30 pm.

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But the exam is over; the most important question on students’ minds is how well they have correctly completed their answer papers. That’s why we have provided a reference for the CBSE Board Class 10 Maths Answer Key here in our article.

CBSE Class 10 Maths Exam 2024 Difficulty Level: Student Opinion

CBSE Board Class 10 Maths Answer Key: Some students feel that the CBSE Class 10 mathematics exam question is challenging. They had certain questions that seemed challenging, especially those involving complex, application-oriented computational problems. On the other hand, some of the students especially appreciated the exam questions but wanted more. Overall, some of the students’ exams were difficult, and others were commendable.

CBSE Class 10 Maths Exam Answer Key
ParticularsDetails
Exam Conducting BodyCentral Board of Secondary Education (CBSE)
Name of ExaminationCBSE Class 10 Board Examination 2024
SubjectMathematics
Mode of ExamOffline
Exam Duration3 Hours
Medium of ExamEnglish / Hindi
Type of QuestionsMCQs, Short and Long Answer Type Questions
Passing Marks33% in aggregate
Theory Marks80
Practical Marks20
Total Marks100
Number of Sections5 Sections
Negative markingNo

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CBSE Class 10 Maths Exam Answer Key 2024 SET 1 (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: (d) 10 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.

CBSE Class 10 Maths Exam Answer Key

(a) nx*

(b) 1

(c) Efi

(d) 0

Ans. (d) 0

10. The zeroes of a polynomial x² + px + q are twice the zeroes of the polynomials 4×2-5x-6. The value of p is:

(a) -5/2

(b) 5/2

(c) -5

(d) 10

Answer: (c) -5

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: (c) 0

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

Keep checking for solutions as our experts working on creating the answer key.

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)

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CBSE Class 10 Maths Exam Answer Key 2024 set 1 (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

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

Answer: (B) 10/2

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

Answer: (D) 924

  1. 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

  1. 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

  1. In the given figure, RJ and RL are two tangents to the circle. If RJL = 42°, then the measure of ✓ JOL is:… Read more at: https://www.adda247.com/school/class-10-maths-answer-key-2024/

(A) 42°
(B) 84°
(C) 96°
(D) 138°

In the given figure, RJ and RL are two tangents to the circle. If RJL = 42°, then the measure of ✓ JOL is… Read more at httpswww.adda247.comschoolclass-10-maths-answer-key-2024

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

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

Answer: (C) 16/3 cm

  1. 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

  1. 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)

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

Answer: (B)

CBSE Class 10 Maths Standard Answer Key 2024 for QP Code: 30/4/1

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

Answer: (C) a-b

  1. 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

CBSE Class 10 Maths Standard Answer Key 2024 for QP Code: 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)

Conclusion

CBSE 10th Class Maths Exam 2024 Answer Key is available here for the students. Through the answer key of this exam you can check your answers and know how many marks you have scored in your exam. This answer key has been verified by experts and you can use it to compare your answers and get an idea of your final score.

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