Circle Theorems Quiz
Test your knowledge of Circle Theorems for GCSE Maths, with this quiz.
This quiz consists of 15 questions, including multiple-choice and short-answer questions on the topic of Circle Theorems for GCSE Maths.
For multiple-choice questions, choose the correct answer. Scroll down to begin the quiz.
Questions
If a cyclic quadrilateral has one angle of 120°, what is the angle opposite to it?
Incorrect
Correct
Incorrect
Incorrect
Which of the following is true about a line drawn from the centre of a circle to the midpoint of a chord?
Correct
Incorrect
Incorrect
Incorrect
What is the angle at the centre of a circle if the angle at the circumference subtended by the same chord is 50°?
Incorrect
Incorrect
Correct
Incorrect
In a cyclic quadrilateral, what is the sum of the opposite angles?
Incorrect
Incorrect
Incorrect
Correct
In a circle, if a cyclic quadrilateral is formed, what is true about the opposite angles?
Incorrect
Incorrect
Correct
Incorrect
What is the angle at the centre of the circle if the angle at the circumference subtended by the same chord is 35°?
Answer: 70° (Angle at the centre = 2 × angle at the circumference)
In a circle, if the angle at the centre is 120°, what is the angle at the circumference subtended by the same chord?
Answer: 60° (Angle at the centre = 2 × angle at the circumference)
In a cyclic quadrilateral, if one of the angles is 70°, what is the measure of the opposite angle?
Answer: 110° (Opposite angles in a cyclic quadrilateral sum to 180°)
In a circle, if an angle at the centre is 80°, what is the angle at the circumference subtended by the same arc?
Answer: 40°
If a cyclic quadrilateral has one angle measuring 45°, what is the measure of the opposite angle?
Answer: 135° (Opposite angles in a cyclic quadrilateral sum to 180°)
The angle between a chord and a tangent is 20°. What is the angle subtended by the same chord at the circumference?
Answer: 20° (Angle between tangent and chord equals the angle at the circumference subtended by the same chord)
If the angle at the centre of a circle is 60°, what is the angle at the circumference subtended by the same chord?
Answer: 30°
In a cyclic quadrilateral, if one of the angles is 110°, what is the sum of the other three angles?
Answer: 270° (The total sum of the angles in any quadrilateral is 360°)
In a circle, if two chords intersect, the angle formed at the intersection is 30°. What is the angle formed by the other pair of opposite segments?
Answer: 30°
In a circle, if a diameter subtends an angle at the circumference, what is the angle?
Answer: 90° (Angle in a semicircle)
Category
