Class 10 Maths MCQs: Comprehensive Overview

Class 10 Maths MCQs: A Comprehensive Overview

In the world of Class 10 mathematics, Multiple Choice Questions (MCQs) serve as a valuable tool to test and reinforce your understanding of various concepts. This article will guide you through a selection of essential MCQs from the domains of algebra, geometry, trigonometry, statistics, and probability – all of which are vital aspects of Class 10 mathematics.

1. Algebra

1. A quadratic expression in x is given by ax^2 + bx + c, where a ≠ 0. For which value of x does the expression become zero? a. -b/a b. b/a c. a/b d. √(b^2 - 4ac)/2a

2. The sum of two numbers is 15, and their product is 40. Find the numbers. a. 5, 10 b. 6, 9 c. 12, 3 d. 5, 12

3. Simplify the expression (x^2 + 3x + 2) - (2x^2 + 3x + 1). a. x - 1 b. -x - 1 c. x + 1 d. 3x - 1

2. Geometry

1. A circle with radius 3 cm is drawn with center O. The distance between points A and B is 6 cm, and the distance between point A and the circle is 4 cm. What is the distance between point B and the circle? a. 2 cm b. √41 cm c. √17 cm d. 8 cm

2. A triangle with side lengths 6 cm, 8 cm, and 10 cm is right angled at vertex A. What is the length of the hypotenuse? a. √(6^2 + 8^2) cm b. √(6^2 + 10^2) cm c. √(8^2 + 10^2) cm d. √(6^2 + 16^2) cm

3. The area of a square is 100 square centimeters. What is the perimeter of the square? a. 40 cm b. 80 cm c. 100 cm d. 160 cm

3. Trigonometry

1. In a right-angled triangle, the sides measuring 3 cm and 4 cm have angles 30° and 90°, respectively. Find the length of the third side (hypotenuse). a. 5 cm b. √(3^2 + 4^2) cm c. √(4^2 - 3^2) cm d. √(3^2 - 4^2) cm

2. In a circle with radius 15 cm, an arc subtends a central angle of 60°. What is the length of the arc? a. 45π cm b. 30π cm c. 15π cm d. 10π cm

3. Tangents of angles A and B are √3 and -√3, respectively. What is the value of the difference A - B? a. 60° b. 120° c. 180° d. 240°

4. Statistics

1. The mean of 3, 5, and x is 4. Find the value of x. a. 1 b. 2 c. 3 d. 5

2. The median of the data set {1, 2, 3, 4, 5} is 3. How many data points are less than or equal to the median? a. 2 b. 3 c. 4 d. 5

3. A frequency distribution table contains the following information:

Calculate the modal class interval. a. 10-20 b. 20-30 c. 0-10 d. Unknown

5. Probability

1. A fair six-sided die is rolled once. What is the probability of rolling an even number? a. 0.25 b. 0.5 c. 0.3333 d. 0.6666

2. Two dice are rolled. What is the probability of getting a sum of 7? a. 1/6 b. 2/9 c. 1/2 d. 5/12

3. In a class of 40 students, 20 prefer chocolate and 30 prefer vanilla. If a student is chosen at random, what is the probability that the student prefers chocolate? a. 0.5 b. 50/90 c. 0.25 d. 20/40

As you practice these MCQs, you will strengthen your understanding of Class 10 maths concepts, develop problem-solving skills, and gain confidence in your knowledge. Keep challenging yourself, and have fun learning!