CBSE Class 10 Maths MCQs: The CBSE Class 10 Maths Board Exam 2025, scheduled for March 10, 2025, requires dedicated practice, especially with Multiple-Choice Questions (MCQs), which are crucial for scoring well. To help students prepare effectively, we have compiled 50 important MCQs from papers from previous years and CBSE sample papers. These carefully selected questions cover key concepts from all chapters, ensuring a comprehensive revision before the exam.
Solving these high-weightage MCQs will help students strengthen their understanding, improve accuracy, and boost confidence for the final exam. Regular practice of these MCQs will enhance problem-solving skills and increase the chances of securing better marks in the CBSE Class 10 Maths exam on March 10, 2025.
Also, check:
CBSE Class 10th Maths Paper: Key Highlights
Particulars | Details |
| Exam Conducting Body | Central Board of Secondary Education (CBSE) |
| Subject | Maths |
| Mode of Exam | Offline |
| Exam Duration | 3 Hours |
| Medium of Exam | English / Hindi |
| Type of Questions | MCQs, Short and Long Answer Type Questions |
| Theory Marks | 80 |
| Internal Assessment | 20 |
| Total Marks | 100 |
| Passing Marks | 33% in aggregate |
CBSE Class 10th Maths Exam Top 50 MCQs
Here are 50 important multiple-choice questions (MCQs) from all chapters in your 10th Maths syllabus along with their answers:
1. Real Numbers
1. The ratio between the LCM and HCF of 5, 15, 20 is:
(a) 9: 1
(b) 4 : 3
(c) 11: 1
(d) 12: 1
Ans: (d)
2. The LCM of the smallest two-digit composite number and the smallest composite number is:
(a) 12 (b) 4 (c) 20 (d) 44
Ans: (c)
3. If the sum of two numbers is 1215 and their HCF is 81, then the possible number of pairs of such numbers are:
(a) 2 (b) 3 (c) 4 (d) 5
Ans: (c)
4. Two positive integers, a and b, are written as a=x3y2a = x^3 y^2a=x3y2 and b=xy3b = xy^3b=xy3, where x and y are prime numbers. The result obtained by dividing the product of the positive integers by LCM(a,b) is:
(a) xy (b) xy² (c) x³y³ (d) x²y²
Ans: (b)
5. If the product of two numbers is 12960 and their HCF is 12, then their LCM is:
(a) 1080 (b) 1200 (c) 1500 (d) 1800
Ans: (a)
If p(x) = ax² + bx + c, then −ba-\frac{b}{a}−ab is equal to:
(a) 0 (b) 1 (c) product of zeroes (d) sum of zeroes
Ans: (d)
2. Polynomials
6. If the sum of the zeroes of the quadratic polynomial ky² + 2y – 3k is equal to twice their product, the value of k is:
(a) 3 (b) 1/3 (c) 2 (d) 1
Ans: (b)
7. If α and β are the zeroes of the quadratic polynomial x² - p(x +1) - c, then the value of (α+1)(β+1)(α + 1)(β + 1)(α+1)(β+1) is:
(a) 1 + c (b) 1/c (c) c (d) 1 - c
Ans: (d)
8. The number of zeroes of a polynomial from the graph given below is:
(a) 0 (b) 1 (c) 3 (d) 4
Ans: (c)
9. If one zero of the quadratic polynomial 4x² – 8kx + 8x -9 is negative of the other, then find the zeroes of kx² + 3kx +2.
(a) 0 (b) 1 (c) 2 (d) 4
Ans: (c)
10. The solution of the equations x - y = 2 and x + y = 4 is:
(a) (3,1) (b) (4,3) (c) (5,1) (d) (-1,-3)
Ans: (a)
3. Pair of Linear Equations in Two Variables
11. If the lines 3x + 2ky – 2 = 0 and 2x + 5y + 1 = 0 are parallel, then k = ?
(a) 4/15 (b) 15/4 (c) 4/5 (d) 5/4
Ans: (b)
12. The pair of equations 3x - 5y = 7 and -6x + 10y = 7 have:
(a) a unique solution (b) infinitely many solutions (c) no solution (d) two solutions
Ans: (c)
13. If a pair of linear equations is consistent, then the lines will be:
(a) always coincident (b) parallel (c) always intersecting (d) intersecting or coincident
Ans: (d)
14. The value of c for which the pair of equations cx - y = 2 and 6x - 2y = 3 will have infinitely many solutions is:
(a) 3 (b) -3 (c) -12 (d) no value
Ans: (a)
15. If a line is drawn parallel to one side of a triangle to intersect the other two sides, the other two sides are divided in:
(a) Equal ratio (b) Same ratio (c) Unequal ratio (d) Random ratio
Ans: (b)
4. Triangles
16. The ratio of areas of two similar triangles is equal to the ratio of the:
(a) Squares of their corresponding sides (b) Perimeters (c) Heights (d) Corresponding medians
Ans: (a)
17. In a right-angled triangle, the square of the hypotenuse is equal to:
(a) Sum of squares of all sides (b) Sum of squares of two perpendicular sides (c) Sum of opposite angles (d) None of these
Ans: (b)
18. If in two triangles, the corresponding angles are equal, then their corresponding sides are:
(a) Proportional (b) Equal (c) Doubled (d) Halved
Ans: (a)
19. The sum of all angles in a triangle is:
(a) 90° (b) 120° (c) 180° (d) 360°
Ans: (c)
5. Trigonometry
20. If sin A = 3/5, then cos A = ?
(a) 4/5 (b) 3/4 (c) 5/3 (d) 1/2
Ans: (a)
21. The value of sin² A + cos² A is always:
(a) 0 (b) 1 (c) 2 (d) -1
Ans: (b)
22. The height of a tree is found using trigonometry when the angle of elevation is:
(a) 30° (b) 45° (c) 60° (d) All of these
Ans: (d)
23. If tan A = 1, then A = ?
(a) 30° (b) 45° (c) 60° (d) 90°
Ans: (b)
24. The value of sin 60° is:
(a) 1/2 (b) √3/2 (c) √2/2 (d) 1
Ans: (b)
6. Coordinate Geometry
25. The distance between the points (3, 4) and (6, 8) is:
(a) 5 (b) 6 (c) 7 (d) 5√2
Ans: (d)
26. The midpoint of the line segment joining (2, 3) and (4, 7) is:
(a) (3, 5) (b) (2, 4) (c) (3, 4) (d) (4, 5)
Ans: (a)
27. The area of a triangle whose vertices are A(2, 3), B(4, 7), and C(6, 5) is given by:
(a) 5 (b) 6 (c) 7 (d) 8
Ans: (b)
28. If the centroid of a triangle is at (4, -3) and two vertices are (2, -5) and (6, 1), then the third vertex is:
(a) (4, -3) (b) (4, -1) (c) (4, -4) (d) (4, -5)
Ans: (c)
29. The point that divides the line segment joining (1, 2) and (5, 6) in the ratio 3:1 is:
(a) (3, 4) (b) (4, 5) (c) (2, 3) (d) (6, 7)
Ans: (b)
7. Introduction to Trigonometry
30. The value of sin 30° is:
(a) 1/2 (b) √3/2 (c) √2/2 (d) 1
Ans: (a)
32. The value of tan 45° is:
(a) 0 (b) 1 (c) √3 (d) 2
Ans: (b)
33. If cot A = 3/4, then sin A is:
(a) 4/5 (b) 3/5 (c) 5/4 (d) 5/3
Ans: (b)
34. If sin A = x, then cos A in terms of x is:
(a) √(1-x²) (b) 1-x (c) x² (d) x
Ans: (a)
35. The height of a tower is 20 m. The angle of elevation of its top from a point 20√3 m away from the base is:
(a) 30° (b) 45° (c) 60° (d) 90°
Ans: (c)
8. Circles
36. A tangent to a circle is a line that:
(a) Passes through the center
(b) Touches the circle at one point
(c) Intersects the circle at two points
(d) Does not touch the circle
Ans: (b)
37. The length of the tangents drawn from an external point to a circle is always:
(a) Equal (b) Unequal (c) Zero (d) None of these
Ans: (a)
38. If the radius of a circle is r, then the length of a tangent from an external point at a distance d is:
(a) √d2-r2
(b) d2+r2
(c) d−r
(d) r−d
Ans: (a)
39. A circle is divided into two regions by a:
(a) Chord (b) Secant (c) Tangent (d) Diameter
Ans: (d)
40. If two tangents are drawn from an external point to a circle, then the angle between them is:
(a) 60° (b) 90° (c) 120° (d) 180°
Ans: (b)
9. Areas Related to Circles
41. The circumference of a circle with radius 7 cm is:
(a) 22 cm (b) 44 cm (c) 154 cm (d) 49 cm
Ans: (b)
42. The area of a sector with central angle 90° in a circle of radius 7 cm is:
(a) 38.5 cm² (b) 49 cm² (c) 77 cm² (d) 22 cm²
Ans: (a)
43. If the length of an arc of a circle is 11 cm and its radius is 7 cm, the central angle is:
(a) 90° (b) 120° (c) 180° (d) 220°
Ans: (b)
44. The area of the largest circle that can be drawn inside a square of side 14 cm is:
(a) 49π cm² (b) 98π cm² (c) 154π cm² (d) 196π cm²
Ans: (b)
45. If the radius of a sphere is doubled, then its surface area becomes:
(a) Twice (b) Four times (c) Eight times (d) Sixteen times
Ans: (b)
10. Statistics and Probability
46. The mean of the first five natural numbers is:
(a) 2 (b) 3 (c) 4 (d) 5
Ans: (b)
47. The median of the data: 5, 10, 15, 20, 25 is:
(a) 10 (b) 15 (c) 20 (d) 25
Ans: (b)
48. The mode of the data: 2, 3, 3, 5, 5, 5, 6, 6, 6, 6 is:
(a) 2 (b) 3 (c) 5 (d) 6
Ans: (d)
49. A coin is tossed 100 times and heads appeared 45 times. The probability of getting tails is:
(a) 0.55 (b) 0.45 (c) 0.50 (d) 0.65
Ans: (a)
50. The probability of drawing a red king from a deck of 52 cards is:
(a) 1/26 (b) 1/52 (c) 1/13 (d) 1/4
Ans: (a)
Now, students have a total of 50 MCQs covering all the chapters of Class 10 Maths as per the CBSE 2025 Exam Pattern. These questions will help students practice effectively for their exams.
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