Mathematics 0580 · IGCSE · Circle theorems I

Circle theorems I — practice question

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(a(i))[1]

State the mathematical name of triangle $PQR$.

(a(ii))[3]

Work out angle $QPR$.

(b(i))[2]

Find angle $CDE$ and give a reason for your answer.

(b(ii))[2]

Find angle $DEF$ and give a reason for your answer.

(b(iii))[3]

Work out angle $EFD$. State the two other geometric properties needed to determine angle $EFD$.

(c)[2]

Calculate the arc length of $PQ$.

Worked solution & mark scheme

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