Foundation June 2019 Paper 1 Q11
11.
(a) 
Diagram not drawn to scale
Work out the area of triangle ABC. [2]
Area ABC = .............................. cm2
(b) 
This shape is made from two rectangles.
Diagram not drawn to scale
The shape has one line of symmetry.
The perimeter of the shape is 40 cm.
The length of BC is 4 times the length of AB.
Work out the length of BC. [3]
BC = .............................. cm
| Scheme | Marks | Comments |
|---|---|---|
| \(\dfrac{9 \times 52}{2}\) oe | M1 | may be stages |
| 234 (cm2) | A1 | CAO; implies M1 |
| Scheme | Marks | Comments |
|---|---|---|
| Correct use of line of symmetry: 2(AB + BC) = 20 oe | M1 | si; allow 40 – 10 – 10 (= 20) or \(\dfrac{40}{2}\) (= 20) or 10 + 10 + … + … = 40 or 10 + 10 = 20 |
| Correct use of proportion: \((4 \times)\,\dfrac{10}{5}\) or \(5x\) = 10 oe | M1 | or 2 improving trials on e.g. AB + BC = 10 |
| 8 (cm) | A1 | CAO; implies M1 M1; may be on diagram |
| (5) |