Test Questions for CBSE Class 10 Mathematics Midyear Exam 2025, Complete with Correct Answers

CBSE Class 10 Maths Half-Yearly Exam: 50 MCQs Testing Core Concepts

The CBSE Class 10 Maths Half-Yearly Exam for the academic year 2025-26 is designed to test students' understanding of core concepts and their ability to apply them quickly. The exam consists of 50 multiple-choice questions (MCQs) covering various units of the syllabus.

Unit I: Number Systems (6 marks) - A question about the common difference of an Arithmetic Progression (AP) where the sum of the first n terms is given by Sn=2n²+5n. - A question about the Highest Common Factor (HCF) of 96 and 404. - A question about the HCF and Least Common Multiple (LCM) of two numbers with given values.

Unit II: Algebra (20 marks) - A question about the sum of the first 10 terms of an AP with given initial and common differences. - A question about a quadratic equation representing the situation where the product of two consecutive positive integers is 306. - A question about the nature of the graph of a quadratic polynomial. - A question about the nature of the solution set of a pair of linear equations. - A question about the value of a trigonometric function. - A question about the sum of the roots of a quadratic equation with a given polynomial. - A question about the value of cosine if sine is given. - A question about a non-polynomial. - A question about the probability of an event and its complement.

Unit III: Coordinate Geometry (6 marks) - A question about a tangent to a circle intersecting it in one point. - A question about the volume of a cylinder with radius r and height h. - A question about the area of a sector of a circle.

Unit IV: Geometry (15 marks) - A question about the midpoint of the line segment joining two given points. - A question about the total surface area of a cone. - A question about the length of a shadow based on the angle of elevation of the sun and the height of a tower. - A question about the area of a quadrant of a circle with radius 7 cm. - A question about the similarity of triangles based on their angles. - A question about the property of circles.

Unit V: Trigonometry (12 marks) - A question about the area of a circle that can be inscribed in a square of side 6 cm. - A question about the value of sin60∘cos30∘+cos60∘sin30∘. - A question about the value of tan(90∘-θ) is cotθ. - A question about the zeros of a polynomial.

Unit VI: Mensuration (10 marks) - A question about the volume of a sphere with radius 7 cm. - A question about the mean of a given set of data. - A question about the median of a given set of data. - A question about the distance of a point from the origin. - A question about the distance between the points (a, b) and (-a, -b).

Unit VII: Statistics & Probability (11 marks) - A question about the probability of getting a number greater than 4 when a die is thrown. - A question about the mode of the data. - A question about the twenty-second MCQ asks for the probability of an event and its complement. - A question about the twenty-third MCQ asks for the probability of drawing a green ball from a bag containing red and green balls. - A question about the twenty-sixth MCQ asks for the nature of the roots of a quadratic equation with a given equation.

After completing the test, students can use the provided answer key to check their performance. It is recommended that students attempt these questions under timed conditions to simulate the pressure of an actual exam. The quiz format helps in self-evaluation and provides a quick way to review the entire syllabus.

Test Questions for CBSE Class 10 Mathematics Midyear Exam 2025, Complete with Correct Answers