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Foundation June 2019 Paper 2 Q4

EduqasFoundationCurrent spec8 marksAngles (Including Parallel Lines)Circles & Sectors

4.

(a)

Find the size of each of the angles marked \(a\), \(b\) and \(c\). [4]

Left: a line meets a straight line, making angle 123 degrees on one side and angle a on the other. Right: two straight lines cross, with angle 46 degrees and angle b vertically opposite

\(a =\) …………… \(^\circ\)     \(b =\) …………… \(^\circ\)

A triangle with angles 78 degrees, 33 degrees and c

\(c =\) …………… \(^\circ\)

Diagrams not drawn to scale

(b)

Points A and B are on the circumference of a circle with centre O.
Points A, O and B lie on a straight line.

A circle with centre O and a straight line AB through O joining two points on the circle

Circle the special name for the straight line AB. [1]

circumference    diameter    tangent    radius    arc

(c)

Six slices of pizza are shown in the diagram below.

Six pizza slices (sectors). Top row: 72 degrees, 98 degrees, 56 degrees. Bottom row: 85 degrees, 87 degrees, 47 degrees

Diagram not drawn to scale

Five of the slices make one whole pizza.
One of the slices in the bottom row is from a different pizza.

Which slice is from the different pizza?
You must show all your working. [3]

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