Numeracy Foundation June 2017 Unit 1 Q9
9. Kari is making a jigsaw puzzle.
She has designed the pattern on a piece of paper.
Kari plans to make each piece of the jigsaw a different colour.
Part of her plan is shown below.

Diagram not drawn to scale
Kari now sketches a diagram of the red piece of the jigsaw, which is shown below.
She shows some extended lines and indicates all the angles she needs to find.

Diagram not drawn to scale
Find the 4 missing angles in the red piece of the jigsaw.
Draw the red piece of Kari’s jigsaw accurately.
One side has been drawn for you. [6]
\(a\) = …………… °, \(b\) = …………… °, \(c\) = …………… °, \(d\) = …………… °
Space for drawing the red piece of jigsaw:

On screen this diagram may not be shown at actual size. To measure it, use the question paper (PDF) printed at 100%.
| Scheme | Marks | Comments |
|---|---|---|
| If contradiction between diagram and answer space, mark the answer space, except if a transition slip | ||
| a = 72° and c = 94° | B1 | |
| b = 108° | B1 | FT 180 – 'their a' |
| d = 86° | B1 | FT 180 – ‘their c’ |
| Correct diagram within ±2mm and ±2° tolerances | B3 | Ignore extensions of lines in construction, mark the quadrilateral Attempt (FT) using template irrespective of angles stated B2 for diagram with either of :
a = 72°± 2°or d = 86°± 2° |