GCSE Maths Circle theorems exam questions. This video is suitable for higher tier students only.
Keywords: Circle theorems, segment, chord, arc, angle, subtend, tangent, circumference, centre, alternate segment theorem, angle at the centre, angle at the circumference, angles in the same segment, angle in a semi-circle, radius, radius drawn at the point of contact, cyclic quadrilateral
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Question list:
► Higher Tier only questions
0:00:00 – Intro
0:00:58 – Q8 – angles in the same segment with trigonometry and area of a circle
0:06:28 – Q12 – alternate segment theorem and angle at the centre with angles in parallel lines
0:13:14 – Q14 – alternate segment theorem with cyclic quadrilaterals
0:20:36 – Q16 – angle at the centre
0:21:10 – Q16 – angle at the centre with isosceles triangles and alternate segment theorem
0:29:00 – Q16 – cyclic quadrilateral and angle at the centre
0:36:27 – Q16 -alternate segment theorem and cyclic quadrilaterals
0:40:19 – Q17 – tangent and radius with angle at the centre
0:42:03 – Q18 – alternate segment theorem. angles at the center and isosceles triangles with ratio
0:51:02 – Q18 – alternate segment theorem and cyclic quadrilateral with ratio
0:57:47 – Q19 – angles in the same segment
1:00:22 – Q21 – two tangents and angles at the centre
1:03:34 – Q19 – alternate segment theorem
1:04:57 – Q19 – isosceles triangles and cyclic quadrilaterals
1:12:15 – Q22 – alternate segment theorem
1:17:44 – Q26 – angle at the centre with altermate segment theorem
1:20:42 – Outro
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The solutions to these practice papers are my own and have not been provided or approved by OCR or AQA. There may be other methods of solution possible than the ones I have shown here.
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