Circle theorems
10th grade (Year 11 in England) · 16 questions · Common Core: HSG.C.A.2 · England: GCSE Higher Geometry
Name
Date
Score/ 16
Question 1
O is the centre. ∠AOB = 144° and C is on the major arc. Find ∠ACB.
Answer
Question 2
AB is a diameter of a circle and C is a point on the circle. ∠CAB = 43°. Find ∠CBA.
Answer
Question 3
O is the centre of a circle. A, B and C are on the circle, with C on the major arc. ∠ACB = 33°. Find ∠AOB.
Answer
Question 4
O is the centre. ∠AOB = 102° and C is on the major arc. Find ∠ACB.
Answer
Question 5
AB is a diameter of a circle and C is a point on the circle. ∠CAB = 42°. Find ∠CBA.
Answer
Question 6
O is the centre of a circle. A, B and C are on the circle, with C on the major arc. ∠ACB = 42°. Find ∠AOB.
Answer
Question 7
O is the centre. ∠AOB = 134° and C is on the major arc. Find ∠ACB.
Answer
Question 8
AB is a diameter of a circle and C is a point on the circle. ∠CAB = 72°. Find ∠CBA.
Answer
Question 9
O is the centre of a circle. A, B and C are on the circle, with C on the major arc. ∠ACB = 74°. Find ∠AOB.
Answer
Question 10
O is the centre. The reflex angle AOB is 268°. C is on the major arc. Find ∠ACB.
Answer
Question 11
AB is a diameter of a circle and C is a point on the circle. ∠CAB = 38°. Find ∠CBA.
Answer
Question 12
O is the centre of a circle. A, B and C are on the circle, with C on the major arc. ∠ACB = 31°. Find ∠AOB.
Answer
Question 13
O is the centre. ∠AOB = 110° and C is on the major arc. Find ∠ACB.
Answer
Question 14
AB is a diameter of a circle and C is a point on the circle. ∠CAB = 52°. Find ∠CBA.
Answer
Question 15
O is the centre of a circle. A, B and C are on the circle, with C on the major arc. ∠ACB = 27°. Find ∠AOB.
Answer
Question 16
O is the centre. ∠AOB = 54° and C is on the major arc. Find ∠ACB.
Answer
Write your answers right on the page. · Free from eurekami.com