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Top 30 CBSE Class 10 Maths Most Important MCQs for 2024 Board Exams

Anshul

Published on 31 Oct 2023, 04:27 PM IST

Class 10 Math especially when board exams are near put students under stress and pressure to score well in the final board examinations. Since CBSE (Central Board of Education) has already released the Class 10 Math sample paper along with an extra practice paper, students must be aware that objective-type questions comprise 20% of the paper.

Class 10 Maths Most Important MCQs for 2024 Board Exams

In other words, the first 20 questions of the Class 10 Math board exam (both basic and standard) have 20 objective-type questions. To help students boost their preparation for the upcoming CBSE Class 10 Board Exams 2024, we have shortlisted the top most important objective-type questions in the latest CBSE pattern.

What are Objective-Based Questions?

It is assumed by the majority of students that objective-based questions only comprise MCQs or multiple-choice questions. Since CBSE has introduced 50% of competency-based question patterns for board exams, the objective-based typology isn’t limited to MCQs only and objective-based questions can be both subjective as well as choosing the right answer from all options.

Students can attempt questions from NCERT as well as reliable books like Educart. The most important question in class 10 maths will include every typology like true/ false, fill in the blanks, and assertion-reasoning based on the latest CBSE-introduced patterns.

Standalone MCQs for Class 10 Maths

In the following questions, four options are given out of which only one option is correct. Read the question carefully, solve it if needed, and choose the right option.

Ques 1. The common difference of an A.P., whose nth term is an = (3n + 7), is:

[Chapter-5 Arithmetic Progressions]

(a) 2 (b) 7

Ans: (b) 3

Ques 2. If a card is drawn from a deck of cards, what is the probability of a card drawn to be a red or a black card and what can we say about that event?

[Chapter-14 Probability]

(a) 1 and it is a sure event.

(b) 0 and it is a sure event.

(d) 0 and it is an impossible event.

Ans: (a) 1 and it is a sure event

Ques 3. In the given figure, the length PB = ............... cm.

[Chapter-10 Circles]

(a) 1

(b) 7

(d) 2.5

Ans: (c) 4

Ques 4.The vertices of a parallelogram in order are A(1, 2), B(4, y), C(x, 6) and D(3, 5). Then (x, y) is:

[Chapter-7 Coordinate Geometry]

(a) (6, 3)

(b) (3, 6)

(d) (1, 4)

Ans: (a)(6, 3)

Ques 5. If ½ is a root of the quadratic equation x2 - mx- 5/4 = 0 , then the value of m is:

[Chapter-4 Quadratic Equations]

(a) 2

(b) –2

(d) 3

Ans: (b) –2

Ques 6. The perimeter of a sector of a circle having radius r and angle 60° is:

[Chapter-11 Area Related to Circles]

(a) r(π/6 + 1) (b) 2r(π/6 - 1)

Ans: (d) 2r(π/6 + 1)

Ques 7. In the graph, a polynomial P(x) is shown. The number of zeroes of P(x) is:

[Chapter-2 Polynomial]

(a) 1 (b) 2

Ans: (c) 2

Ques 8. Students of a school were informed that a doctor would visit the school for their annual health checkup. The students were lined up and their height, weight, and blood pressure were checked.

[Chapter-13 Statistics]

Consider the following frequency distribution of the heights (in cm) of 60.

The upper limit of the median class in the given data is:

(a) 165 (b) 155

Ans: (a)165

Ques 9. In figure, XY || BC and AX : XB = 1 : 3. The length of XY is:

[Chapter-6 Triangles]

(a) 1 cm (b) 2 cm

Ans: (d) 1.5

Ques 10. Several cars were parked near a tall tower. Pragya told her friend that she could find out the height of the tower without actually measuring it. She reasoned that she could do it by using her knowledge of trigonometry.

[Chapter-9 Some Applications of Trigonometry]

The angle of depression of a car parked on the road from the top of a 150 m high tower is 30°. The distance of the car from the tower (in meters) is:

(a) 50√3 (b) 150√3

Ans: (b) 150√3

Ques 11. If two positive integers p and q can be expressed as p = ab2 and q = a3b; a, b being prime numbers, then LCM (p, q) is: A solid is hemispherical at the bottom and conical at the top. If the surface areas of the two parts are equal then the ratio of their radius and the slant height of the conical part is:

[Chapter-12 Surface Area and Volume]

(a) 2: 1 (b) 1: 2

Ans: (b) 1: 2

Ques 12. The sine of an angle in a right triangle is ⅘.

Which of these could be the measures of the sides of the triangle?

[Chapter-8 Introduction to Trigonometry]

(a) 4 cm, 5 cm, and 9 cm

(b) 4 cm, 5 cm, and √41 cm

(d) 8 cm, 10 cm, and 4√41 cm

Ans: (c) 6 cm, 8 cm and 10 cm

Ques 13. In ΔABC and ΔDEF, ㄥF = ㄥC, ㄥB = ㄥE and AB = 1/2 DE. Then, the two triangles are:

[Chapter-6 Triangles]

(a) congruent but not similar

(b) similar but not congruent

(d) congruent as well as similar

Ans: (b) similar but not congruent

Ques 14. The mean and median of a distribution are 14 and 15, respectively. The value of the mode is:

[Chapter-13 Statistics]

(a) 16 (b) 17

Ans: (b)17

Ques 15. If two positive integers p and q can be expressed as p = ab2 and q = a3b; a, b being prime numbers, then LCM (p, q) is:

[Chapter-1 Real Numbers]

(a) ab (b) a2b2

Ans: (c) a3b2

Ques 16. The value of k for which the lines 5x + 7y = 3 and 15x + 21y = k coincide is:

[Chapter- 3 Pair of Equations in Two Variables]

(a) 9 (b) 5

Ans: (a) 9

Ques 17. Shown below is a solid made by joining a right circular cylinder and a hemisphere of equal radius (r cm). The total surface area of the solid is equal to the surface area of a sphere with twice the radius of this solid.

[Chapter-12 Surface Area and Volume]

Which of the following gives the height of the cylinder in the above solid?

(a) 6r cm (b) 6.5r cm

Ans: (c) 7r cm

Ques 18. A circle passes through point P. How many tangents and secants to the circle are possible that pass through P?

[Chapter- 10 Circles]

(a) Tangent: 1; Secant: 1

(b) Tangent: Infinite; Secant: 1

(d)Tangent: Infinite; Secant: Infinite

Ans: (c) Tangent: 1; Secant: Infinite

Assertion-Reasoning MCQs

In the following questions, two statements in the form of an Assertion (A) and a Reason (R) have been put forward. Read both statements carefully and choose the most appropriate option:

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.

Ques 19. Assertion (A): If the product of two numbers is 5780 and their HCF is 17, then their LCM is 340.

Reason (R): HCF is always a factor of LCM

[Chapter-1 Real Numbers]

Ans: (b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A)

Ques 20. Assertion (A): The roots of the quadratic equation x2 – 2x + 2 = 0 are imaginary.

Reason (R): If discriminant D = b2 – 4ac < 0 then the roots of the quadratic equation ax2 + bx + c = 0 are imaginary.

[Chapter-4 Quadratic Equations]

Ans: (d) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Ques 21. Assertion (A): If the circumference of a circle is 221 cm then its radius is 35 cm.

Reason (R): The circumference of a circle can be calculated by multiplying p with the diameter of the circle.

[Chapter-11 Area Related to Circles]

Ans: (d) Assertion (A) is false but reason (R) is true.

Ques 22. Assertion (A): If the pair of lines are coincident, then we say that the pair of lines is consistent and has a unique solution.

Reason (R): If the pair of lines are parallel, then the pair has no solution and is called an inconsistent pair of equations.

[Chapter-3 Pair of Equations in Two Variables]

Ans: (d) Assertion (A) is false but reason (R) is true.

Ques 23. Assertion (A): A circle can have infinitely many tangents.

Reason (R): The tangent at any point of a circle is perpendicular to the radius through the point of contact.

[Chapter-10 Circles]

Ans: (b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A)

Ques 24. Assertion (A): If the value of mode and median is 50.5 and 45.5 respectively, then the value of mean is 86.

Reason (R): Median = (Mode + 2 Mean)

[Chapter-13 Statistics]

Ans: (c) Assertion (A) is true but reason (R) is false.

Ques 25. Assertion (A): (cos4 A – sin4 A) is equal to 2 cos2 A – 1.

Reason (R): For any value of q, 1 + cos2 q = sin2 q.

[Chapter-8 Introduction to Trigonometry]

Ans: (c) Assertion (A) is true but reason (R) is false

Ques 26. Assertion (A): Let the positive numbers a, b, and c be in A.P., then 1/bc, 1/ac, and 1/ab are also in A.P.

Reason (R): If each term of the given A.P. is multiplied by abc, then the resulting sequence is also in A.P.

[Chapter-5 Arithmetic Progressions]

Ans: (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Ques 27. Assertion (A): If the height of the cone is 5 cm and the diameter of the base is 24 cm, then the slant height of the cone is 25 cm.

Reason (R): If r is the radius and h is the slant height of the cone, then slant height = √h2+r2

[Chapter-12 Surface Area and Volume]

Ans: (d) Assertion (A) is false but reason (R) is true.

Ques 28. Assertion (A): The graph y = f(x) is shown in the figure, for the polynomial f(x). The number of zeroes of f(x) is 3.

[Chapter-2 Polynomial]

Reason (R): The number of zeroes of the polynomial f(x) is the number of points at which f(x) cuts or touches the axes.

Ans: (c) Assertion (A) is true but reason (R) is false.

Ques 29. Assertion (A): In the figure, if BC = 20 m, then height AB is 11.56 m.

[Chapter-8 Some Applications of Trigonometry]

Reason (R): tan θ = AB/BC = perpendicular/BASE

Ans: (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Ques 30. Assertion (A): E and F are points on the sides PQ and PR respectively of a triangle PQR, if PQ = 1.28 cm, PR = 2.56 cm, PE = 0.18 cm, and PF = 0.36 cm, then, EF || QR by the converse of BPT.

[Chapter-6 Triangles]

Reason (R): The Converse of the basic proportionality theorem states that if a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.

Ans: (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A)

Why Practise These Math Class 10 MCQ Questions?

Practicing objective-based maths most important questions in class 10 is essential for students for many reasons. It will help students get a revision of the Class 10 Math syllabus along with clearing basic concepts of Class 10 Math topics. It will not only help in improving performance in exams but will improve problem-solving and analytical skills also.

The majority of competitive exams follow an objective-based questions pattern and there is a negative marking scheme. Students can download a complete set of questions for extra practice from NCERT and books like Educart. The answers are curated by experienced subject matter experts to provide students with the right study material. Click here to down the extra questions.

Class 10 Maths	Download Chapter-wise PDF
Chapter 1	Real Numbers
Chapter 2	Polynomials
Chapter 3	Pair of Linear Equations in Two Variables
Chapter 4	Quadratic Equations
Chapter 5	Arithmetic Progressions
Chapter 6	Triangles
Chapter 7	Coordinate Geometry
Chapter 8	Introduction to Trigonometry
Chapter 9	Some Applications of Trigonometry
Chapter 10	Circles
Chapter 11	Areas Related to Circles
Chapter 12	Surface Areas and Volumes
Chapter 13	Statistics
Chapter 14	Probability

Frequently Asked Questions

Ques 1. Which chapter has the maximum weightage in CBSE Class 10 Maths?

Ans. Chapter 14 Statistics and Chapter 6 Triangles carry the most weightage in CBSE Board 2024 Math exams.

Ques 2. When will CBSE Board 2024 Class 10 start?

Ans. The board exams 2024 will start on February 15, 2024, and are expected to be concluded on April 10, 2024.

Ques 3. How to practice Class 10 Math MCQ Important Questions?

Ans. Read the questions carefully and try to solve them without looking at the answers first. If there is no negative marking, attempt all the questions.