(a) Two sides of a parallelogram ABCD are drawn accurately below. Using only a ruler and a pair of compasses, complete an accurate drawing of the parallelogram. You must show all your construction arcs. [2]
On screen this diagram may not be shown at actual size. To measure it, use the question paper (PDF) printed at 100%.
(b) The line XY below forms part of a scale drawing of a garden. The scale drawing has a scale of 1:200.
What is the actual distance between point X and point Y in the garden? Give your answer in metres. [3]
On screen this diagram may not be shown at actual size. To measure it, use the question paper (PDF) printed at 100%.
Actual distance between point X and point Y = …………… metres
Mark scheme (a)
Scheme
Marks
Comments
Correct construction method. e.g. (i) intersecting arcs of radii 6cm and 9cm with centres A and C respectively. OR (ii) copying the angle at B at the point A (will require AB or BA to be extended).
M1
Relevant construction arcs must be seen.
Completed parallelogram.
A1
Mark scheme (b)
Scheme
Marks
Comments
‘measured length’ × 200
M1
Allow for error in measuring line XY.
= 1520 (cm)
A1
Accept only in range 1480 to 1560 inclusive.
= 15·2 metres
B1
FT ‘their 1520’ ÷ 100. Unsupported 14·8 to 15·6 inclusive gains all 3 marks.
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