Mathematics 0580 · IGCSE · Circle theorems I

Circle theorems I — practice question

The diagrams are circles and are labelled NOT TO SCALE.
(a(i))[1]

Determine the value of $t$.

(a(ii))[3]

Determine $w$, and justify your answer.

(a(iii))[3]

Determine the value of $p$, giving a reason for your answer.

(b(i))[1]

Fill in the statement. $PM : PQ = \ldots : \ldots$

(b(ii))[4]

Fill in the statements that establish triangle $OMQ$ is congruent to triangle $ONQ$.

Worked solution & mark scheme

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