CBSE Board Class 10th Mid Term Exam 2024-25 : Maths Most Important MCQs with Answers

CBSE Class 10th Half-Yearly Exam 2024-25 is approaching, and it is very important to prepare thoroughly for it, Preparing for CBSE Class 10th Mid-Term Exam 2024-25 can be challenging, especially for Mathematics.

To help you in your preparation, we have compiled some of the most important Multiple Choice Questions (MCQs) along with their answers. These questions are designed to help you revise key concepts and perform better in the exam.

CBSE Class 10 Math Half Yearly Important MCQs

Q1. nth term of an A.P. is 7n + 4. The common difference is:

(a) 7n
(b) 4
(c) 7
(d) 1

Ans. (c) 7

Q2. The zeroes of a polynomial x² + px + q are twice the zeroes of the polynomial 4x² - 5x - 6. The value of p is:

(a) - 5/2
(b) 5/2
(c) -5
(d) 10

Ans. (a) - 5/2

Q3. The sum of the first three terms of an AP is 30 and the sum of the last three terms is 36. If the first term is 9, then the number of terms is:

(a) 10
(b) 5
(c) 6
(d) 13

Ans. (b) 5

Q4. In fig., PA, QB and RC are each perpendicular to AC. If x = 8 cm and z = 6cm, then y is equal to

(a) 56/7 cm
(b) 7/56 cm
(c) 25/7 cm
(d) 24/7 cm

Ans. (d) 24/7 cm

Q5. Two numbers are in the ratio 2 : 3 and their LCM is 180. What is the HCF of these numbers?

(a) 30
(b) 6
(c) 90
(d) 1

Ans. (a) 30

Q6. If tan A = 3 cot A, then the measure of the angle is :

(a) 15°
(b) 30°
(c) 45°
(d) 60°

Ans. (d) 60°

Q7. Rahul has 40 cm long red and 84 cm long blue ribbon. He cuts each ribbon into pieces such that all pieces are of equal length. What is the length of each piece?

(a) 4 cm
(b) 5 cm
(c) 6 cm
(d) 8 cm

Ans. (a) 4 cm

Q8. The number of solutions of 3^x+y = 243 and 243^x-y = 3 is:

(a) 0
(b) 1
(c) 2
(d) Infinite

Ans. (b) 1

Q9. The first three terms of an A.P. respectively are 3y - 1, 3y + 5 and 5y + 1. Then y is :

(a) -3
(b) 4
(c) 5
(d) 2

Ans. (c) 5

Q10. The LCM of two prime numbers p and q (p>q) is 221. Find the value of 3p-q.

(a) 4
(b) 28
(c) 38
(d) 48

Ans. (c) 38

Q11. If triangles ABC and DEF are similar and AB = 4 cm, DE = 6 cm, EF = 9 cm and FD = 12 cm, the perimeter of triangle ABC is: 

(a) 22 cm
(b) 20 cm
(c) 21 cm
(d) 18 cm

Ans. (d) 18 cm

Q12. H.C.F. of 2 numbers is 113, and their L.C.M. is 56952. If one number is 904, then the other number is: 

(a) 7911
(b) 7119
(c) 7791
(d) 7971

Ans. (b) 7119

Q13. The point on the X axis which is equidistant from the points (-1, 0) and (5, 0) is

(a) (2, 0)
(b) (0, 2)
(c) (3, 0)
(d) (2, 2)

Ans. (a) (2, 0)

Q14. The point P which divides the line segment joining the points A(2, -5) and B(5, 2) in the ratio 2 : 3 lies in the quadrant:

(a) I
(b) II
(c) III
(d) IV

Ans. (d) IV

Q15. The distance of the point (-4, 3) from Y - axis is

(a) -4
(b) 4
(c) 3
(d) 5

Ans. (b) 4

Q16. Which of the following is a correct statement?

(a) Two congruent figures are always similar
(b) Two similar figures are always congruent
(c) All rectangles are similar
(d) The polygons having same number sides are similar

Ans. (a) Two congruent figures are always similar

Q17. If every term of an A.P. is multiplied by 3 then the common difference of the ne A.P., is :

(a) Same
(b) Increase by three
(c) 3 times of the previous A.P.
(d) 3 times of the previous A.P.

Ans. (c) and (d) 3 times of the previous A.P. 

Q18. The pair of equations y = 0 and y = -7 has :

(a) one solution
(b) two solutions
(c) infinitely many solutions
(d) solution

Ans. (d) solution

Q19. The given linear polynomial y = f(x) has

(a) 2 zeros
(b) 1 zero and the zero is '3'
(c) 1 zero and the zero is '4'
(d) No zero

Ans. (b) 1 zero and the zero is '3'

Q20. The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is:

(a) 13
(b) 65
(c) 875
(d) 1750

Ans. (a) 13

Q21. What is the ratio in which the line segment joining (2, -3) and (5, 6) is divided by x-axis?

(a) 1:2
(b) 2:1
(c) 2:5
(d) 5:2

Ans. (a) 1:2

Q22. The graph of a polynomial intersects the y-axis at one point and the x-axis at two points. The number of zeroes of this polynomial are:

(a) 1
(b) 2
(c) 3
(d) O

Ans. (b) 2

Q23. The distance of the point (-6, 8) from x-axis is

(a) 6 units
(b) -6units
(c) 8 units
(d) 10 units

Ans. (c) 8 units

Q24. The roots of the quadratic equation x² + x - p (p + 1) = 0 are :

(a) p, p+1
(b) -p, p+1
(c) -p, -(p + 1)
(d) p. -(p + 1)

Ans. (d) p. -(p + 1)

Q25. The perpendicular bisector of the line segment joining the points A(- 1, 3) and B(2, 4) cuts the y-axis at: 

(a) (0, 5)
(b) (0, -5)
(c) (0, 4)
(d) (0, -4)

Ans. (a) (0, 5)

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