PYQ Vault
EbooksTutor

Angle in a semicircle is 90 degrees: find a related angle

This type of question, asked 5 times: 27 Jul 2023 S2, 19 Sep 2024 S2, 23 Sep 2024 S1, 25 Sep 2024 S2, 18 Sep 2025 S1. All 5 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    27 Jul 2023 S2

    61
    Angle subtended by the largest chord of the circle to a point on the same circle measures:

    Tap an option to check your answer.

  2. Question 2

    19 Sep 2024 S2

    52
    A quadrilateral PQRS is inscribed in a circle of centre O, such that PQ is a diameter and ∠PSR=120∘\angle PSR = 120^\circ. Find the value of ∠QPR\angle QPR.

    Tap an option to check your answer.

  3. Question 3

    23 Sep 2024 S1

    63
    A triangle ABC is made on a circle, where AB is diameter of the circle. If BC is equal to the radius of the circle and ∠ABC=x∠BAC\angle ABC = x \angle BAC, then x is :

    Tap an option to check your answer.

  4. Question 4

    25 Sep 2024 S2

    64
    The two circles intersect at two points P and Q. PR and PS are diameters of the two circles. What is ∠PQR\angle PQR ?

    Tap an option to check your answer.

  5. Question 5

    18 Sep 2025 S1

    71
    In a cyclic quadrilateral ABCD, AB is the diameter of the circle. If angle ACD is 40∘40^\circ, what is the measure of angle BAD?

    Tap an option to check your answer.