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Questions and Answers
In a quadratic expression ax^2 + bx + c, what value of x makes the expression zero?
If the sum of two numbers is 15 and their product is 40, what are the numbers?
What is the result of simplifying the expression (x^2 + 3x + 2) - (2x^2 + 3x + 1)?
A circle with radius 3 cm is drawn with center O. If the distance between points A and B is 6 cm, and point A is 4 cm away from the circle, what is the distance between point B and the circle?
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In a right-angled triangle with sides measuring 3 cm and 4 cm, and angles 30° and 90° respectively, what is the length of the hypotenuse?
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What is the length of the hypotenuse of a right triangle with legs of 3 cm and 4 cm?
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In a circle with radius 15 cm, if an arc subtends a central angle of 60°, what is the length of the arc?
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If tangents of angles A and B are √3 and -√3, respectively, what is the value of the difference A - B?
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Given that the mean of 3, 5, and x is 4, what is the value of x?
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In a frequency distribution table with different class intervals and frequencies, what is the modal class interval?
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Study Notes
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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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The mean of 3, 5, and x is 4. Find the value of x. a. 1 b. 2 c. 3 d. 5
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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
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A frequency distribution table contains the following information:
| Class Interval | Frequency |
|---|---|
| 0-10 | 2 |
| 10-20 | 4 |
| 20-30 | 3 |
| 30-40 | 1 |
Calculate the modal class interval. a. 10-20 b. 20-30 c. 0-10 d. Unknown
5. Probability
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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
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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
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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!
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Description
Test your understanding of algebra, geometry, trigonometry, statistics, and probability with these multiple choice questions designed for Class 10 mathematics students. Practice essential concepts and enhance problem-solving skills through a variety of MCQs covering various topics.
