and are points on a circle.
Prove that is a diameter.
[4]
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and are points on a circle.
Prove that is a diameter.
[4]
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A, B and C are points on a circle, centre O.
Work out the size of angle .
 ............................... degrees[5]
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and are points on a circle.
Chords and intersect at .
is a tangent to the circle.
and are parallel.
Angle = 2
Give reasons why angle and angle are also equal to 2.
Angle ......................................
Angle ...................................
[2]
Work out the values ofand .
You must show your working.
Do not use trial and improvement.
[4]
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and are points on a circle, centre .
is a straight line.
Angle
Prove that  Â
[5]
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and are points on the circumference of a circle, centre .
is a tangent to the circle at .
Angle
Angle
Angle
Work out the value of .
............................degrees[4]
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 and are points on a circle.
and are points on a different circle, centre .
and are straight lines.
angle
Prove that angle
[3]
In the case when is parallel to , work out the size of angle .
...........................degrees[2]
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Points A, B and C lie on a circle, centre O.
Angle AOC =Â
Angle ABC =Â
Work out the value of .
........................... degrees[3]
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D, E, F and S are points on a circle.
RST is a tangent.
The straight line EDT is parallel to FS.
DS = DT
Prove that FD is parallel to RST.
Use angle DTS as to help you.
[5]
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A, B, C and D are points on a circle, centre O.
Which statement is correct?
Tick one box.
[1]
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and are points on a circle, centre.
Work out the value of
[3]
x = ......................degrees
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is parallel to .
Prove that  Â
[4]
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and are points on the circumference of a circle.
w: y = 7 : 5
Work out the size of angle .
[4]
.......................degrees
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