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Oak MathsTest · Maths

Problem solving with circle theorems

The starter and exit quiz of the lesson “Problem solving with circle theorems”, from the unit “Circle theorems” (Year 10 Maths) by Oak National Academy.

Free to use. Edit it, share it and hand it out to your students.

Oak National Academy

12 questions

  1. a° = ___°.
  2. Calculate the size of angle b°.
  3. The diagram shows a circle with a tangent and three line segments that form a triangle inside the triangle. c° = ___°.
  4. d° = ___°.
  5. Points A and B are points where two separate tangents intersect the circle.c° = ___°.
  6. Points A and B are points where two separate tangents intersect the circle.Find the size of angle d°.
  7. The length of chord MN is ___ cm (2 d.p.).
  8. a° = ___° (2 d.p.).
  9. u = 7k + 4.v = 9k.u° = ___°.
  10. m + k = 207.k° = ___°.
  11. The image shows a circle, a tangent to the circle and a number of chords and radii within the circle.b : c : d = 5 : 7 : 6.e° = ___°.
  12. The image shows a circle, a tangent to the circle and a number of chords and radii within the circle.b : c : d = 5 : 7 : 6.g : h = 14 : 9.h° = ___°.

License: OGL

Problem solving with circle theorems · Examplary