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ICSE Class 9 Mathematics — practice by topic

Browse 76 questions across 14 Mathematics topics. Choose what you want to revise, then open a question to check its answer and worked solution.

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Mathematics topics

Logarithms (38)Algebra (37)Binomial Theorem (37)Geometry (37)Number Theory (37)Probability & Statistics (37)Quadratic Equations (37)Sequences (37)Sequences and Series (37)Vectors & 3D Geometry (37)Coordinate Geometry (29)Pythagoras Theorem (27)Section Formula (9)Triangles (2)

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Pythagoras theorem applies to which type of triangle?Read the answer and worked solution →In a right triangle the side opposite the right angle is called theRead the answer and worked solution →Pythagoras theorem states that in a right triangleRead the answer and worked solution →If legs of a right triangle are 3 and 4, the hypotenuse isRead the answer and worked solution →

Worked practice questions

Pythagoras theorem applies to which type of triangle?

  1. A right-angled triangle
  2. An equilateral triangle only
  3. An isosceles triangle only
  4. A scalene triangle only
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Correct answer: A. A right-angled triangle

1. The theorem relates the squares of the sides of a triangle. 2. It is valid only if one angle is 90 degrees. 3. Such a triangle is right-angled. 4. So option A is correct. _Source: Selina Concise Mathematics Class 9, Ch on Pythagoras Theorem (Mistral OCR'd PDF), section on Pythagoras theorem_

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In a right triangle the side opposite the right angle is called the

  1. Adjacent side next to the right angle
  2. Hypotenuse, the longest side
  3. Opposite side of any chosen angle
  4. Altitude from a triangle vertex
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Correct answer: B. Hypotenuse, the longest side

1. A right triangle has three sides: two legs and a slanting side. 2. The slanting side faces the 90-degree angle. 3. This is called the hypotenuse and is the longest. 4. So option A is correct. _Source: Selina Concise Mathematics Class 9, Ch on Pythagoras Theorem (Mistral OCR'd PDF), section on right triangle_

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Pythagoras theorem states that in a right triangle

  1. a^2 - b^2 = c^2 with c the hypotenuse
  2. a + b = c for the three sides
  3. a^2 + b^2 = c^2 with c the hypotenuse
  4. a^2 + b^2 = 2 c^2 with c the hypotenuse
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Correct answer: C. a^2 + b^2 = c^2 with c the hypotenuse

1. a and b are the two legs and c is the hypotenuse. 2. The sum of squares of legs equals square of hypotenuse. 3. So a^2 + b^2 = c^2. 4. Hence option A is correct. _Source: Selina Concise Mathematics Class 9, Ch on Pythagoras Theorem (Mistral OCR'd PDF), section on statement_

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