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CBSE Sample Paper for Class 9 Maths

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Time: 3 Hours

Maximum Marks: 80

General Instructions:

  • All questions are compulsory.
  • The question paper is divided into four sections: A, B, C, and D.
  • Section A contains 10 objective questions of 1 mark each.
  • Section B contains 6 short answer questions of 2 marks each.
  • Section C contains 10 long answer questions of 3 marks each.
  • Section D contains 4 essay type questions of 4 marks each.

Section A

  1. Find the value of 2x + 3y, if x = 2 and y = 3.
  2. Simplify the expression: 5x + 7 - 3x - 4
  3. Find the HCF of 24 and 36.
  4. Find the LCM of 12 and 15.
  5. Convert 3/4 into decimal form.
  6. Find the area of a triangle with base 5 cm and height 4 cm.
  7. Find the volume of a cube with side 5 cm.
  8. Construct an angle of 60 degrees using ruler and compass.
  9. Define a linear equation in two variables.
  10. Write the formula for finding the distance between two points.

Section B

  1. Solve the following equation: 2x + 3 = 11
  2. Find the sum of all the prime numbers less than 100.
  3. Find the mean of the following numbers: 2, 4, 6, 8, 10
  4. Find the median of the following numbers: 12, 14, 16, 18, 20
  5. Find the mode of the following numbers: 11, 12, 13, 14, 15, 16, 17, 17
  6. Construct a triangle ABC, where AB = 5 cm, BC = 6 cm and AC = 7 cm.

Section C

  1. Solve the following system of equations: x + y = 5 2x - y = 7
  2. Find the quadratic equation whose roots are -2 and 3.
  3. Find the value of x for which the following expression is a perfect square: x^2 + 6x + 9
  4. Find the area of a circle with radius 7 cm.
  5. Find the volume of a cone with radius 5 cm and height 12 cm.
  6. Prove that the sum of the angles of a triangle is 180 degrees.
  7. Construct a parallelogram ABCD, where AB = 6 cm, BC = 7 cm and AD = 8 cm.
  8. Find the distance between the points (2, 3) and (4, 5).
  9. Convert the following decimal into fraction form: 0.75
  10. Find the mean, median and mode of the following data: 10, 12, 14, 16, 18, 20, 22, 24, 26

Section D

  1. Prove that the Pythagorean Theorem is true.
  2. Construct a right-angled triangle ABC, where AB = 5 cm, AC = 12 cm and angle BAC = 90 degrees.
  3. Find the equation of the line passing through the points (2, 3) and (4, 5).
  4. Solve the following quadratic equation: x^2 + 5x - 6 = 0

Please note that this is just a sample paper. The actual exam paper may contain different types of questions.


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