Mensuration 2D
CDS Maths. Try each one first, then open its answer.
Top 10 CDS PYQs to practise first
The questions and kinds of question asked most often come first. Each one says how often and in which papers.
Question 1
This type asked 8 times: CDS 2 2016, CDS 2 2017, CDS 2 2018, CDS 1 2019, CDS 2 2020, CDS 2 2022, CDS 2 2024, CDS 2 2025. This one: CDS 2 2025 See all 8 of this type
75The sides of a triangle are 11 cm, 60 cm and 61 cm. What is the area of the triangle formed by joining the mid-points of the sides of the triangle?Tap an option to check your answer.
Question 2
This type asked 6 times: CDS 2 2017, CDS 1 2019, CDS 1 2020, CDS 2 2020, CDS 2 2023, CDS 2 2025. This one: CDS 2 2025 See all 6 of this type
76A pendulum swings through an angle of and its end describes an arc of length 55 cm. What is the length of the pendulum? (Take )Tap an option to check your answer.
Question 3
This type asked 6 times: CDS 1 2017, CDS 1 2018, CDS 1 2019, CDS 1 2021, CDS 1 2022, CDS 2 2025. This one: CDS 2 2025 See all 6 of this type
79A wire is in the form of an equilateral triangle with an area of cm. If it is changed into a semicircle, then what is its radius?Tap an option to check your answer.
Question 4
This type asked 5 times: CDS 2 2020, CDS 2 2021, CDS 2 2022, CDS 1 2024, CDS 2 2026. This one: CDS 2 2026 See all 5 of this type
53A chord of a circle makes an angle of at the centre of the circle. If the area of the major segment is k times the area of the minor segment, then what is the value of k ? (Take )Tap an option to check your answer.
Question 5
This type asked 5 times: CDS 1 2020, CDS 2 2020, CDS 2 2021, CDS 1 2022, CDS 2 2026. This one: CDS 2 2026 See all 5 of this type
52The area of a rhombus is 720 and the sum of its diagonals is 98 cm. What is the perimeter of the rhombus ?Tap an option to check your answer.
Question 6
This type asked 5 times: CDS 1 2019, CDS 1 2020, CDS 1 2021, CDS 1 2023, CDS 1 2025. This one: CDS 1 2025 See all 5 of this type
84An arc AB of a circle subtends an angle x radian at the centre O. If the area of the sector AOB is equal to half of the square of length of arc AB, then what is x equal to ?Tap an option to check your answer.
Question 7
This type asked 5 times: CDS 2 2016, CDS 2 2018, CDS 1 2019, CDS 1 2020, CDS 2 2020. This one: CDS 2 2020 See all 5 of this type
79If the perimeter of a circle and a square are equal, then what is the ratio of the area of the circle to that of the square ?Tap an option to check your answer.
Question 8
Asked 4 times: CDS 2 2016*, CDS 2 2017*, CDS 2 2018*, CDS 2 2024 (* = numbers or wording changed that year) See all 4 times it was asked
50What is the area of a triangle having sides 4, 4 and 6 units ?Tap an option to check your answer.
Question 9
This type asked 4 times: CDS 2 2018, CDS 2 2022, CDS 1 2025, CDS 1 2026. This one: CDS 1 2026 See all 4 of this type
71A Question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question : A circle is inscribed in the equilateral triangle . What is the radius of the circle ? Statement-I : Area of is equal to . Statement-II : Perimeter of is 24 cm. Which one of the following is correct in respect of the above Question and the Statements ?Tap an option to check your answer.
Question 10
This type asked 4 times: CDS 1 2022, CDS 2 2024, CDS 1 2025, CDS 2 2025. This one: CDS 2 2025 See all 4 of this type
71In a triangle , , cm and cm. What is the area of the triangle ?Tap an option to check your answer.