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Foundation November 2017 Paper 1 Q2

EduqasFoundationCurrent spec7 marksAngles (Including Parallel Lines)Circles & Sectors

2.

(a)

Points \(A\) and \(B\) are on the circumference of the circle with centre \(O\).

Diagram: a circle with centre O and a straight line joining points A and B on the circumference
(i)

Circle the name of the straight line \(AB\). [1]

radius    chord    circumference    tangent    arc

(ii)

\(AC\) is a diameter of the circle.
Draw this diameter on the circle above.
Label the point \(C\). [2]

(b)

Calculate the size of each of the angles \(w\), \(x\) and \(y\). [4]

Diagram: a triangle with one side extended; interior angles 55 degrees and 95 degrees, angle y at the third vertex, reflex angle w outside the 95 degree angle and exterior angle x next to the 55 degree angle

Diagram not drawn to scale