CBSE Class 10 Maths Answer Key 2024:
The CBSE Class 10 Mathematics Exam 2024 was administered by the Central Board of Secondary Education today, March 11, 2024. The examination began at 10:30 am and ended at 1:30 pm.
Now that the exam has been completed successfully, all 10th grade students can review the CBSE Class 10 Maths Answer Key 2024 and Question Paper in the article below. The post includes a direct download link for the CBSE Class 10 Maths Answer Key 2024 with All Paper Solutions.
CBSE Class 10 Maths Answer Key 2024
There were twenty multiple-choice questions in the CBSE Class 10 Maths test paper for both basic and standard topics. Exam questions may span a wide variety of topics and present challenges for students. It was expected of the students to work through algebraic, geometrical, and arithmetic issues.
There will be an overall score of 100 for the CBSE Class 10 Mathematics test, of which 80 will be awarded for the theory exam and the remaining 20 for the internal assessment. Three hours will be dedicated to the exam, with an additional fifteen minutes to read the CBSE Class 10th Mathematics question paper.
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CBSE Class 10 Maths Answer Key 2024 Overview
There are five distinct sections in the CBSE Class 10 Maths Question Paper 2024 for Standard and Basic: A, B, C, D, and E. MCQs in Section A are worth one mark apiece. The questions in Section B are worth two marks apiece.
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Section C questions are worth three marks apiece. Questions in Section D are worth five marks apiece. Case-based integrated assessment units (four marks each) make up Section E.
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CBSE Class 10 Maths Answer Key 2024 Overview
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Educational Board
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Central Board of Secondary Education
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Class
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CBSE Class 10 (Higher Secondary)
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Subjects
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Mathematics Standard
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Mathematics Basic
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Subject Code
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041 (Mathematics Standard)
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241 (Mathematics Basic)
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Exam Day
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Monday
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Exam Date
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March 11, 2024
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Exam Timings
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10:30 a.m. to 1:30 p.m.
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Total Marks
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100
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Theory Paper Marks
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80
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Examination Mode
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Offline
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Difficulty Level
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Question paper was easy to Moderate
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CBSE Class 10 Maths Answer Key 2024
The CBSE Class 10 Maths Answer Key 2024 has been specifically created by our subject matter experts' faculty to address the questions that will be covered in the test.
Using the exact link provided above, you can quickly get the CBSE Class 10 Maths Answer Key 2024 PDF.
CBSE Class 10 Maths Answer Key 2024 SET 1 (30/5/1)
SECTION A
This section comprises Multiple Choice Questions (MCQs) of 1 mark each. 20×1=20
1. The next (4th) term of the A.P. √18, √50, √98, is:
(A) √128
(B) √140
(C) √162
(D) √200
Answer: (C) √162
2. If 3 = 2 sin A, y = 2 cos A, then the value of x² + y2 is:
(A) 36
(B) 9
(C) 6
(D) 18
Answer: (A) 36
CBSE Class 10 Science Paper Analysis 2024
3. If 4 sec 0-5 = 0, then the value of cot 0 is:
(A) 3/4
(B) 4/5
(C) 5/3
(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
(B) 2:7
(C) 21:5
(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
(B) 1/8
(C) 1/5
(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
(B) 40
(C) 37
(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
(C) 462
(B) 231
(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. 2 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: 2 3
(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) 3/10 cm
(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
Questions number 19 and 20 are Assertion and Reason based questions. Two statements are given, one labelled as Assertion (A) and the other is labelled as Reason (R). Select the correct answer to these questions from the codes (A), (B), (C) and (D) as given below.
(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, but 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): ABCD is a trapezium with DC || AB. E and F are points on AD and BC respectively, such that EF || AB. Then AE BF = ED FC
Reason (R): Any line parallel to parallel sides of a trapezium divides the non-parallel sides proportionally.
Answer: (A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (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) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
CBSE Class 10 Maths Answer Key 2024 SET 2 (30/5/2)
SECTION A
Section A consists of 20 questions of 1 mark each.
1. If α and β are the zeroes of the polynomial p(x) = kx² – 30x + 45k and α + β = αβ, then the value of kis:
(A) -2/3
(B) -3/2
(C) 3/2
(D) 2/3
Answer: (D) 2/3
2. 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:
3. The next (4th)) term of the A.P. √7, √28, √63 is:
(A) √70
(B) √84
(C) √97
(D) √112
Answer: (D) √112
4. 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
5. If x = a cosθ and y = bsinθ, then the value of b2x2 + a2y2 is:
(A) a2b2
(B) ab
(C) a4b4
(D) a2+b2
Answer: (A) a2b2
6. If the quadratic equation ax2 + bx + c = 0 has real and equal roots, then the value of c is:
(A) b/2a
(B) -b/2a
(C) b2/4a
(D) -b2/4a
Answer: (C) b2/4a
8. The length of an arc of a circle with radius 12 cm is 10π 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°
9. 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
10. 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
(C) 64 cm
(B) 43 cm
(D) 462 cm
Answer: (C) 64 cm
12. If the prime factorisation of 2520 is 23 x 3a x b x 7, then the value of a + 2b is:
(A) 12
(C) 9
(B) 10
(D) 7
Answer: (A) 12
13. 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
14. 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
15. The LCM of three numbers 28, 44, 132 is:
(A) 258
(C) 462
(B) 231
(D) 924
Answer: (D) 924
16. 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
17. The ratio of the length of a pole and its shadow on the ground is 1: √3. The angle of elevation of the Sun is:
(A) 90°
(B) 60°
(C) 45°
(D) 30°
Answer: (D) 30°
18. If the mean and mode of a data are 24 and 12 respectively, then its median is:
(A) 25
(B) 18
(C) 20
(D) 22
Answer: (C) 20
Questions number 19 and 20 are Assertion and Reason based questions. Two statements are given, one labelled as Assertion (A) and the other is labelled as Reason (R). Select the correct answer to these questions from the codes (A), (B), (C) and (D) as given below.
(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, but 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): ABCD is a trapezium with DC || AB. E and F are points A 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) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (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) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
CBSE Class 10 Maths Answer Key 2024 SET 3 (30/5/3)
SECTION A (Set 3)
This section comprises Multiple Choice Questions (MCQs) of 1 mark each. 20×1=20
1. The LCM of the smallest prime number and the smallest odd composite number is:
(A) 10
(B) 6
(C) 9
(D) 18
Answer: (D) 18
2. If the mean of the first n natural numbers is 5n/9 then the value of n is:
(A) 5
(B) 4
(C) 9
(D) 10
Answer: (C) 9
3. If 5 tan 0-12 = 0, then the value of sin 0 is:
(A) 5/12
(B) 12/13
(C) 5/13
(D) 12/5
Answer: (B) 12/13
4. The next (4th) term of the A.P. √18, √50, √98, … is:
(A) √128
(B) √140
(C) √162
(D) √200
Answer: (C) √162
5. 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) 3/10 cm
(C) 16/3 cm
(D) 1.2 cm
Answer: (C) 16/3 cm
6. 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°
7. 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
8. The ratio of the sum and product of the roots of the quadratic equation 5×2-6x+21= 0 is :
(A) 5:21
(B) 2:7
(C) 21:5
(D) 7:2
Answer:
9. The 14th term from the end of the A.P.11,-8,-5, …, 49 is:
(A) 7
(B) 10
(C) 13
(D) 28
Answer:
10. The length of the shadow of a tower on the plane ground is √3 times the height of the tower. The angle of elevation of the Sun is:
(A) 30°
(C) 60°
(B) 45°
(D) 90°
Answer:
11. What is the probability that a number selected randomly from the numbers 1, 2, 3, 15 is a multiple of 4?
(A) 4/15
(C) 3/15
(B) 6/15
(D) 5/15
Answer:
12. If x/3 = 2 sin A, y/3 = 2 cos A, then the value of x² + y² is:
(A) 36
(C) 6
(B) 9
(D) 18
Answer:
15. The LCM of three numbers 28, 44, 132 is:
(A) 258
(B) 231
(C) 462
(D) 924
Answer: (D) 924
16. 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:
17. 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:
18. The greatest number which divides 281 and 1249, leaving remainder 5 and 7 respectively, is :
(A) 23
(B) 276
(C) 138
(D) 69
Answer:
Questions number 19 and 20 are Assertion and Reason based questions. Two statements are given, one labelled as Assertion (A) and the other is labelled as Reason (R). Select the correct answer to these questions from the codes (A), (B), (C) and (D) as given below.
(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, but 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) Degree of a zero polynomial is not defined.
Reason (R): Degree of a non-zero constant polynomial is 0.
Answer: (B) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
20. Assertion (A): ABCD is a trapezium with DC || AB. E and F are points D on AD and BC respectively, such that EF || AB. Then AE BF = ED FC
Reason (R): Any line parallel to parallel sides of a trapezium divides the non-parallel sides proportionally.
Answer: (A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
CBSE Class 10 Maths Exam Paper Analysis 2024
Regarding the degree of difficulty of the CBSE Class 10 Maths exam, which was successfully administered today, March 11, 2024, the students have expressed varying opinions.
While some students thought the maths paper was doable, others thought it was quite difficult, particularly the problems that required intricate calculations and application-based thinking.
Although the exam covered a wide range of topics, some students felt that some of the questions lacked sufficient clarification.
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The CBSE Class 10th Mathematics Question paper had an easy to moderate overall difficulty level.
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There were both competency-based and direct formula-based questions in the exam.
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There was nothing complicated to calculate.
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The trigonometry questions, in the opinion of the students, assessed the breadth of their knowledge.
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An easy level was offered in Section A.
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In contrast, Section B was less complicated.
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An above-average level of difficulty was presented by Sections C and D, which required careful question reading.
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Section E achieved a moderate degree of difficulty.
CBSE Class 10 Maths Question Paper 2024 Set 1, 2, 3
Here are the CBSE Class 10 Maths Question Papers in PDF format for all sets, which will assist students in analyzing the answer key and preparing for the upcoming board exams:
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Sets
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Download Link
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CBSE Class 10 Maths Question paper 2024 Set 1
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Download PDF
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CBSE Class 10 Maths Board paper 2024 Set 2
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Download PDF
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CBSE Class 10 Maths Paper 2024 Set 3
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Download PDF
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