Foundation November 2018 Paper 2 Q17
17.
(a) 
This square has been drawn accurately.

On screen this diagram may not be shown at actual size. To measure it, use the question paper (PDF) printed at 100%.
A rectangle has exactly the same area as the square.
The width of the rectangle is 5 cm.
Calculate the length of the rectangle.
You must show all your working. [6]
(b) 
The diagram below shows a quadrilateral on a grid.

(i) What is the special name of this quadrilateral? [1]
(ii) On the grid below, complete the drawing of a parallelogram that has the same area as the quadrilateral drawn above. [2]

| Scheme | Marks | Comments |
|---|---|---|
| Sight of 6.5(cm) ± 0.2(cm) or 65(mm) ± 2(mm) | B1 | |
| 6.5 x 6.5 | M1 | FT ‘their 6.5’. Do not accept different ‘6.5’s. |
| = 42.25 (cm2) | A1 | |
| 42.25 = length x 5 | B1 | FT ‘their 42.25’. |
| 42.25 ÷ 5 | M1 | |
| 8.45 (cm) | A1 | If no marks awarded, award SC1 for ‘their area ÷ 5 evaluated correctly. |
| Scheme | Marks | Comments |
|---|---|---|
| (i) (isosceles) Trapezium | B1 | CAO, but accept incorrect spelling. |
| (ii) Completes a parallelogram with an area of 12cm2. | B2 | B1 for any parallelogram B1 for area of 12cm2. Must use the given line for B2 |
| (9) |