4MA0 Foundation January 2015 Paper 1 Q16
16 The diagram shows a shape with one line of symmetry.
Diagram NOT accurately drawn
Work out the area of the shape.
(4)
| Scheme | Marks |
|---|---|
| eg \(15 \times 12 + \frac{1}{2} \times 12 \times 10 - \frac{1}{2} \times 12 \times 4\) or 180 + 60 – 24 or \((10 + 15) \times 12 - (\frac{1}{2} \times 12 \times 4 + \frac{1}{2} \times 10 \times 6 + \frac{1}{2} \times 10 \times 6)\) or 300 – (24 + 30 + 30) or \(2 \times \frac{1}{2}(15 + 21) \times 6\) or 2 × 108 | M3 |
| eg \(\frac{1}{2} \times 4 \times 12\) and \(\frac{1}{2} \times 10 \times 6\) (24 and 30) or \(\frac{1}{2} \times 4 \times 12\) and \(\frac{1}{2} \times 10 \times 12\) (24 and 60) or \(\frac{1}{2} \times 4 \times 6\) and \(\frac{1}{2} \times 10 \times 6\) (12 and 30) or \(\frac{1}{2} \times 4 \times 6\) and \(\frac{1}{2} \times 10 \times 12\) (12 and 60) or \(\frac{1}{2}(15 + 21) \times 6\) or 108 or \(\frac{1}{2}(15 + 11) \times 6\) or 78 | |
| eg \(\frac{1}{2} \times 4 \times 6\) or 12 or \(\frac{1}{2} \times 4 \times 12\) or 24 or \(\frac{1}{2} \times 10 \times 6\) or 30 or \(\frac{1}{2} \times 10 \times 12\) or 60 or \(\frac{1}{2} \times 11 \times 6\) or 33 or \(\frac{1}{2} \times 11 \times 12\) or 66 or \(\frac{1}{2} \times 15 \times 6\) or 45 or 15 × 6 or 90 or 15 × 12 or 180 or 25 × 6 or 150 or 25 × 12 or 300 or 10 × 6 or 60 or 10 × 12 or 120 or 11 × 6 or 66 or 11 × 12 or 132 or 4 × 12 or 48 or 4 × 6 or 24 | |
| 216 | A1 |
| (4) | |
| (4 marks) |
Notes
M3: For a complete method.
If not M3 then M2 for 2 different but non overlapping triangles or 1 trapezium
If not M2 then M1 for a correct area of a triangle or rectangle.
NB : The lists of examples are not exhaustive.