50 Most Important MCQs for CBSE Class 10 Maths Exam 2024: Free PDF Download

CBSE Class 10 Maths Top 50 MCQs: The Central Board of Secondary Education (CBSE) will conduct the CBSE class 10 Mathematics exam on March 11, 2024. The question paper will have an increase dpercentage of the Multiple Choice Type Questions, constituting about 25% of the total marks. Students can easily secure full marks in this part of the paper with consistent practise and a clear understanding of the concepts. Here are the 50 most important MCQs which have been carefully selected from previous years’ CBSE Class 10 Mathematics question papers and aligned with the latest CBSE syllabus. These questions can be extremely helpful in mastering the key concepts, building the confidence for an exceptional performance in the upcoming CBSE Class 10 Maths Exam 2024.

CBSE Class 10 Maths 50 Most Important MCQs

1. The values of k for which the equation 4x²+ kx + 9 = 0 has real and equal roots are :

(a) ±11

(b) ±12

(c) ±6

(d) ±3

Answer: (b) ±12

2.The distance of the point (4, 7) from the x-axis is :

(a) 7 units

(b) 5 units

(c) 4 units

(d) 10 units

Answer: (a) 7 units

3. A girl calculates that the probability of her winning the first prize in a lottery is 0.08. If 6000 tickets are sold, how many tickets has she bought ?

(a) 40

(b) 240

(c) 480

(d) 750

Answer: (c) 480

4. In a family of two children, the probability of having at least one girl is :

(a) 1/2

(b) 2/5

(c) 3/4

(d) 1/4

Answer: (c) 3/4

5. If 2 tan A = 3, then the value of (4 sin A + 3 cos A)/(4 sin A – 3 cos A) is

(a) 7/√13

(b) 1/√13

(c) 3

(d) does not exist

Answer: (c)

6. The condition for which the pair of equations ax + 2y = 7 and 3x + by = 16 represent parallel lines is :

(a) ab = 7/16

(b) ab = 6

(c) ab = 3

(d) ab = 2

Answer: (b) ab = 6

7. The zeroes of the polynomial 3x² + 11x − 4 are :

(a) 1/2, −4

(b) 1/4, −3

(c) 1/3, −4

(d) 1/3, 4

Answer: (c) 1/3, −4

8. In the given figure, DE || BC and all measurements are given in centimetres. The length of AE is :

(a) 2 cm

(b) 2·25 cm

(c) 2·5 cm

(d) 2·75 cm

Answer: (b) 2·25 cm

9. Using empirical relationship, the mode of a distribution whose mean is 7·2 and the median 7·1, is :

(a) 6·2

(b) 6·3

(c) 6·5

(d) 6·9

Answer: (d) 6·9

10. cot²θ−(1/sin²θ) is equal to:

(a) 1

(b) 2

(c) −2

(d) −1

Answer: (d) −1

11. The height of a tower is 20 m. The length of its shadow made on the level ground when the Sun’s altitude is 60^o, is:

(a) 20/√3 m

(b) 20/3

(c) 20√3 m

(d) 20 m

Answer: (a) 20/√3 m

12. The coordinates of the point A, where AB is the diameter of the circle whose centre is (3, −2) and B(7, 4) is :

(a) ( −1, −8)

(b) ( −1, 8)

(c) (1, 8)

(d) (1, −8)

Answer: (d) (1, −8)

13. Which of the following is a quadratic polynomial with zeros (5/3) and 0?

(a) 3x(3x-5)

(b) 3x(x-5)

(c) x²-5/3

(d) 5x²/3

Answer: (a) 3x(3x-5)

14.If x, 2x + 9, 4x + 3 are three consecutive terms of an A.P., then the value of x is :

(a) 3

(b) 10

(c) 13

(d) 15

Answer: (d) 15

15.The distribution below gives the marks obtained by 80 students on a test.

The modal class of this distribution is

(a) 10-20

(b) 20-30

(c) 30-40

(d) 50-60

Answer: (c) 30-40

16. In the figure, PA and PB are two tangents to the circle with centre O such that ∠APB = 50^o . Then, the measure of ∠OAB is:

(a) 25^o 

(b) 50^o 

(c) 75^o 

(d) 100^o

Answer: (a) 25^o 

17. If a bicycle wheel makes 5000 revolutions in moving 11 km, then the diameter of the wheel is:

(a) 65 cm

(b) 35 cm

(c) 70 cm

(d) 50 cm

Answer: (c) 70 cm

18.The pair of linear equations 2x = 5y + 6 and 15y = 6x – 18 represents two lines which are 
(a) intersecting 
(b) parallel
(c) coincident 
(d) either intersecting or parallel 

Answer: (c) coincident 

19. In the given figure, TA is a tangent to the circle with centre O such that OT = 4 cm, ∠OTA = 30°, then length of TA is:

(a) 2√3 cm 
(b) 2 cm 
(c) 2√2 cm 
(d) √3 cm 

Answer: (a) 2√3 cm 

18.The ratio of HCF to LCM of the least composite number and the least prime number is: 
(a) 1:2
(b) 2:1
(c) 1:1
(d) 1:3

Answer: (b) 2:1

20. If a pole 6 m high casts a shadow 2√3 m long on the ground, then sun’s elevation is:
(a) 60° 
(b) 45° 
(c) 30° 
(d) 90′ 

Answer: (a) 60° 

21. In the given figure, ΔABC~ΔQPR. If AC=6 cm, BC=5 cm, QR=3 cm and PR=x; then the value of x is:

(a) 3.6 cm 

(b) 2.5 cm 

(c) 10 cm

(d) 3.2 cm

Answer: (a) 3.6 cm 

22. The distance of the point (- 6, 8) from origin is : 
(a) 6  
(b) – 6 
(c) 8 
(d) 10

Answer: (d) 10

23. The next term of the A.P. : √7, √28, √63 is: 
(a) √70 
(b) √80 
(c) √97 
(d) √112

Answer: (d) √112

24. (sec²θ – 1) (cosec²θ  – 1) is equal to : 
(a) – 1 
(b) 1 
(c) 0 
(d) 2

Answer: (b)

25. Two dice are thrown together. The probability of getting the difference of numbers on their upper faces equals to 3 is : 
(a) 1/9 
(b) 2/9
(c) 1/6
(d) 1/12

Answer: (c) 1/6

To check all questions, download the PDF below: