The diagram shows a circle with centre \(O\). \(P\), \(Q\) and \(R\) are points on the circle.
tangent
radius
area
chord
diameter
circumference
parallel
perpendicular
Choose words from the box to complete these sentences.
(i) Line \(OP\) is a ………………
(ii) Line \(QR\) is a ………………
(iii) Lines \(OP\) and \(QR\) are ……………… . [2]
(b)
\(ABC\) is a right-angled triangle in which:
\(AB\) = 8 cm,
angle \(A = 90^\circ\),
\(AC\) = 6·5 cm.
Complete an accurate drawing of triangle \(ABC\). \(AB\) has been drawn for you. [2]
On screen this diagram may not be shown at actual size. To measure it, use the question paper (PDF) printed at 100%.
Mark scheme (a)
Scheme
Marks
Comments
(i) Radius (ii) Chord (iii) Parallel
B2
B2 for all three correct B1 for any two correct
Mark scheme (b)
Scheme
Marks
Comments
Draws an accurate triangle, with angle BAC = 90° ± 2° and line AC = 6.5cm ± 0.2cm
B2
The triangle must be ‘closed’ to gain B2. Candidates are not expected to use compasses. Award B1 if one error, e.g. line or angle out of tolerance or BC not drawn.
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