## 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)**

- The sum of the squares of two consecutive even numbers is: (a) 29 (b) 35 (c) 41 (d) 47
- The H.C.F. of 36 and 60 is: (a) 4 (b) 6 (c) 12 (d) 18
- 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
- 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
- The radius of a circle whose circumference is 22 cm is: (a) 7 cm (b) 11 cm (c) 14 cm (d) 18 cm
- 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
- 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
- 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
- The probability of getting a head when a coin is tossed is: (a) 1/2 (b) 1/3 (c) 1/4 (d) 1/6
- The value of sin 45° is: (a) 1/2 (b) 1/√2 (c) √2/2 (d) √3/2

**Part B (Short Answer, 30 marks)**

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

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

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