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    NCERT Class 10 Mathematics Practice Paper (Term 2)

    RBSE Class 10 Mathematics Practice Paper (Term 2)

    Instructions:

    • This paper is divided into three parts: A, B, and C.
    • All questions are compulsory.
    • Answer all questions in blue or black ink only.
    • Use of white correction fluid or blade is not allowed.
    • You have 3 hours to complete the paper.

    Part A (Multiple Choice, 30 marks)

    1. The sum of the squares of two consecutive even numbers is: (a) 29 (b) 35 (c) 41 (d) 47
    2. The H.C.F. of 36 and 60 is: (a) 4 (b) 6 (c) 12 (d) 18
    3. The quadratic equation whose roots are 3 and -4 is: (a) x^2 + x – 12 = 0 (b) x^2 – x – 12 = 0 (c) x^2 + 7x – 12 = 0 (d) x^2 – 7x – 12 = 0
    4. The area of a rectangle whose length is 5 cm more than its breadth and perimeter is 46 cm is: (a) 20 cm^2 (b) 25 cm^2 (c) 30 cm^2 (d) 35 cm^2
    5. The radius of a circle whose circumference is 22 cm is: (a) 7 cm (b) 11 cm (c) 14 cm (d) 18 cm
    6. The volume of a cone whose radius is 6 cm and height is 9 cm is: (a) 99 cm^3 (b) 108 cm^3 (c) 117 cm^3 (d) 126 cm^3
    7. The ratio of the areas of two similar triangles is 4:9. The ratio of their corresponding sides is: (a) 2:3 (b) 3:4 (c) 4:5 (d) 5:6
    8. The mean of 5 consecutive numbers is 13. The sum of the smallest and the largest numbers is: (a) 22 (b) 26 (c) 30 (d) 34
    9. The probability of getting a head when a coin is tossed is: (a) 1/2 (b) 1/3 (c) 1/4 (d) 1/6
    10. The value of sin 45° is: (a) 1/2 (b) 1/√2 (c) √2/2 (d) √3/2

    Part B (Short Answer, 30 marks)

    1. Find the H.C.F. and L.C.M. of 18 and 45.
    2. Solve the quadratic equation x^2 – 8x + 12 = 0.
    3. Find the area of a triangle whose base is 10 cm and height is 8 cm.
    4. Find the volume of a cylinder whose radius is 7 cm and height is 14 cm.
    5. Prove that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.
    6. Find the median of the following set of numbers: 4, 7, 8, 9, 10, 13, 16.
    7. Find the probability of getting a tail when a coin is tossed twice.
    8. Find the sine and cosine of angle 60°.
    9. Convert 45° to radians.
    10. Find the equation of the line passing through the points (2, 3) and (5, 7).

    Part C (Long Answer and Data Interpretation, 40 marks)

    1. (a) Find the sum of the first n natural numbers. (b) Solve the system of equations: x + y = 7 and 2x – y = 3.
    2. (a) Derive the formula for the area of a parallelogram. (b) Find the area of a trapezium whose