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Oak MathsTest · Maths

The alternate segment theorem

The starter and exit quiz of the lesson “The alternate segment theorem”, from the unit “Circle theorems” (Year 10 Maths) by Oak National Academy.

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Oak National Academy

12 questions

  1. Find the size of angle x°.
  2. Calculate the size of angle m°.
  3. Both ∠GHF and ∠GIF are angles at the circumference subtended by the chord GF. The size of the angle labelled p° is ___°.
  4. Both ∠JMK and ∠JLK are angles at the circumference subtended by the arc JK. The size of the angle labelled t° is ___°.
  5. The size of the angle labelled a° is ___°.
  6. Find the size of angle b° (in degrees).
  7. Find the size of angle a° (in degrees).
  8. Find the size of angle b° (in degrees).
  9. Find the size of angle c° (in degrees).
  10. The size of the angle labelled d° is ___°.
  11. ∠ATC = 46°∠ABT is subtended by the chord AT.Find the size of angle e° (in degrees).
  12. ∠PEF is subtended by the chord PF.∠PFE is subtended by the chord PE.Find ∠EPD (in degrees).

License: OGL

The alternate segment theorem · Examplary