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Numeracy Foundation November 2018 Unit 1 Q5

5. In some schools, pupils complete a cycling test.
This involves cycling around cones and knowing how you should ride safely on the road.

The diagram shows part of the route that cyclists follow.

Route from a cone marked Start: a 30 m line down to the right, then an angle of 100° and a 60 m line up to the right, then an angle of 210° (marked on the upper side) and a 50 m line down to the right to a second cone

Diagram not drawn to scale

(a)

What is the special name given to the angle marked as 210° in the diagram?
Circle your answer. [1]

acute    right angle    obtuse    reflex    straight line

(b)

Draw an accurate scale diagram of the route shown above.
Use the space below.
Use the scale: 1 cm represents 10 m.
The first part of the diagram has been drawn for you. [3]

Point marked Start with the first line of the route, labelled 30 m, drawn down to the right

On screen this diagram may not be shown at actual size. To measure it, use the question paper (PDF) printed at 100%.

(c)

Of a class of 27 pupils, \(\dfrac{2}{9}\) did not complete their cycling test.

How many pupils did complete their cycling test? [3]