30 ICSE Sample Questions for Class 10 Maths

Are you preparing for the ICSE Class 10 mathematics exam? Check out these sample questions to help you practice and succeed on the test.

Preparing for the ICSE Class 10 mathematics exam can be a daunting task, but with the right resources and practice, you can feel confident and ready on test day. One great way to prepare is by working through sample questions. These can give you an idea of the types of questions you may encounter on the exam and help you practice your problem-solving skills.

ICSE Maths Sample Questions (30 Questions)

  • Simplify: (2x + 3y)2
  • Prove that the sum of the interior angles of a polygon is 180(n-2) where n is the number of sides.
  • Find the equation of the line passing through the point (2, -3) and parallel to the line 3x + 4y = 12.
  • Solve for x: 2x – 3y = 6 and 3x + 2y = 12.
  • Find the slope of the line passing through the points (4, -5) and (6, 2).
  • Prove that the diagonals of a parallelogram bisect each other.
  • Find the area of a triangle with base 8 cm and height 12 cm.
  • Simplify: 3(2x + 5) – 4(x – 3)
  • Find the equation of the line passing through the point (3, 4) and perpendicular to the line 5x – 3y = 12.
  • Prove that the opposite sides of a rectangle are equal in length.
  • Simplify: (3x^2 + 2x) – (4x^2 – 5x + 2)
  • Prove that the opposite angles of a parallelogram are equal.
  • Find the slope-intercept form of the equation of the line passing through the point (2, 3) with a slope of -2.
  • Prove that the diagonals of a rectangle are equal in length.
  • Solve for x: 3x + 2y = 12 and 4x – 3y = 9.
  • Prove that the sum of the exterior angles of a polygon is always 360 degrees.
  • Find the equation of the line passing through the point (4, 5) and parallel to the line y = 3x + 2.
  • Simplify: (5x^2 + 3x) – (2x^2 + 4x)
  • Find the slope of the line passing through the points (3, -2) and (6, 8).
  • Prove that the opposite sides of a square are equal in length.
  • Find the area of a rectangle with length 12 cm and width 8 cm.
  • Simplify: 2(x + 3) + 3(2x – 4)
  • Prove that the diagonals of a rhombus are equal in length.
  • Solve for x: 2x + 3y = 6 and x – 2y = 1.
  • Find the equation of the line passing through the point (5, -4) and perpendicular to the line 3x + 2y = 6.
  • Prove that the sum of the interior angles of a triangle is 180 degrees.
  • Find the area of a triangle with base 12 cm and height 9 cm.
  • Simplify: (4x^2 + 2x) – (3x^2 – 5x + 2)
  • Find the slope-intercept form of the equation of the line passing through the point (3, 4) with a slope of 2.
  • Prove that the opposite angles of a rectangle are right angles.
  • Solve for x: 3x + 2y = 12 and 4x – 3y = 15.
  • Find the equation of the line passing through the point (5, 6) and parallel to the line y = -2x + 4.

These are just a few examples of the types of questions you may encounter on the ICSE Class 10 mathematics exam. By working through sample questions like these, you can practice your problem-solving skills and become more familiar with the types of questions you may see on the exam.

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