10 Class Matematics Chapter Wise MCQs Pdf

textbook exercises, additional questions, and questions from past board papers, mathematics class 10th mcqs chapters wise all chapter 1 to 14 with solved Pdf download.

Mathematics: Chapter-wise MCQs with Solutions (Chapters 1-14)

In the realm of mathematics, Multiple Choice Questions (MCQs) serve as an excellent tool for assessing understanding and reinforcing concepts. Here, we present a comprehensive guide to MCQs covering chapters 2 to 14, complete with detailed solutions to aid in your mastery of mathematical concepts.

Chapter 2: Real Numbers

Question: Which of the following numbers is not a real number?

A) ( \sqrt{2} )
B) ( -3.5 )
C) ( \frac{1}{0} )
D) ( 0.75 ) Solution: C) ( \frac{1}{0} ) is undefined in the set of real numbers.

Question: What is the multiplicative inverse of ( \frac{5}{4} )?

A) ( \frac{4}{5} )
B) ( \frac{5}{4} )
C) ( 4 )
D) ( \frac{-4}{5} ) Solution: A) The multiplicative inverse of ( \frac{5}{4} ) is ( \frac{4}{5} ).

Chapter 3: Polynomials

Question: Which of the following is a quadratic polynomial?

A) ( x^3 + 2x^2 – x + 1 )
B) ( 2x^2 – 3x + 5 )
C) ( 3x^2 – 5x + 2x^3 )
D) ( x^4 + 2x^2 + 1 ) Solution: B) ( 2x^2 – 3x + 5 ) is a quadratic polynomial.

Question: What is the degree of the polynomial ( 4x^3 – 2x^2 + 7x – 1 )?

A) 1
B) 2
C) 3
D) 4 Solution: C) The degree of ( 4x^3 – 2x^2 + 7x – 1 ) is 3.

Chapter 4: Linear Equations in Two Variables

Question: The solution to the system of equations ( 2x + 3y = 10 ) and ( 3x – y = 5 ) is:

A) ( (1, 2) )
B) ( (2, 1) )
C) ( (-1, 3) )
D) ( (3, -1) ) Solution: B) ( (2, 1) ) satisfies both equations simultaneously.

Question: The slope of the line passing through points ( (3, 4) ) and ( (1, 2) ) is:

A) ( \frac{1}{2} )
B) ( \frac{2}{3} )
C) ( 2 )
D) ( -2 ) Solution: A) Slope ( m = \frac{2 – 4}{1 – 3} = \frac{-2}{-2} = 1 ), thus ( \frac{1}{2} ).

Chapter 5: Understanding Quadrilaterals

Question: In a parallelogram, opposite angles are:

A) Supplementary
B) Complementary
C) Equal
D) None of these Solution: A) Opposite angles in a parallelogram are supplementary.

Question: The sum of all interior angles of a quadrilateral is:

A) 90°
B) 180°
C) 360°
D) 540° Solution: C) The sum of interior angles of a quadrilateral is always ( 360° ).

Chapter 6: Practical Geometry

Question: The sum of all exterior angles of any polygon is:

A) 90°
B) 180°
C) 360°
D) 540° Solution: C) The sum of exterior angles of any polygon is ( 360° ).

Question: The measure of each exterior angle of a regular polygon with ( n ) sides is:

A) ( \frac{180°}{n} )
B) ( \frac{360°}{n} )
C) ( 180° – \frac{360°}{n} )
D) ( \frac{360°}{n} – 180° ) Solution: B) Each exterior angle of a regular polygon with ( n ) sides is ( \frac{360°}{n} ).

Chapter 7: Data Handling

Question: The mean of the following set of numbers: ( 2, 4, 6, 8, 10 ) is:

A) 4
B) 6
C) 8
D) 10 Solution: B) Mean ( = \frac{2 + 4 + 6 + 8 + 10}{5} = \frac{30}{5} = 6 ).

Question: The mode of the set: ( 3, 5, 7, 5, 2, 3, 5, 7, 3 ) is:

A) 3
B) 5
C) 7
D) 2 Solution: A) Mode ( = 3 ), as it appears most frequently.

Chapter 8: Introduction to Trigonometry

Question: In a right triangle, if ( \sin \theta = \frac{3}{5} ), then ( \cos \theta ) is:

A) ( \frac{4}{5} )
B) ( \frac{3}{4} )
C) ( \frac{5}{3} )
D) ( \frac{5}{4} ) Solution: A) ( \cos \theta = \sqrt{1 – \sin^2 \theta} = \sqrt{1 – \left(\frac{3}{5}\right)^2} = \sqrt{1 – \frac{9}{25}} = \sqrt{\frac{16}{25}} = \frac{4}{5} ).

Question: If ( \tan \theta = \frac{4}{3} ), then ( \cot \theta ) is:

A) ( \frac{4}{3} )
B) ( \frac{3}{4} )
C) ( \frac{3}{5} )
D) ( \frac{3}{2} ) Solution: B) ( \cot \theta = \frac{1}{\tan \theta} = \frac{1}{\frac{4}{3}} = \frac{3}{4} ).

Chapter 9: Quadratic Equations

Question: The roots of the equation ( x^2 – 5x + 6 = 0 ) are:

A) ( 2 ) and ( 3 )
B) ( 3 ) and ( -2 )
C) ( 6 ) and ( -1 )
D) ( -3 ) and ( -2 ) Solution: A) Solve using factoring or the quadratic formula ( x = \frac{-b \pm \sqrt{b^2 – 4ac}}{2a} ).

Question: The sum of the roots of the quadratic equation ( 2x^2 – 7x + 3 = 0 ) is:

A) ( \frac{7}{2} )
B) ( -\frac{7}{2} )
C) ( \frac{1}{2} )
D) ( -\frac{1}{2} ) Solution: A) Sum of roots ( = \frac{-b}{a} = \frac{7}{2} ).

Chapter 10: Arithmetic Progressions

Question: In an arithmetic progression, if the first term is ( 3 ) and the common difference is ( 4 ), then the ( n )-th term ( a_n ) is given by: