4MA0 Higher June 2016 Paper 4 Q4
4

Diagram NOT accurately drawn
\(EFG\) is a triangle.
\(AB\) is parallel to \(CD\).
(a) Write down the value of \(p\) (1)
(b) Write down the value of \(q\) (1)
Here is a hexagon.

Diagram NOT accurately drawn
(c) Work out the value of \(x\) (3)
| Scheme | Marks |
|---|---|
| 63 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 50 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| Eg (6 – 2) × 180 or 4 × 180 or 720 oe | M1 |
Eg \(3x + x + 164 + 139 + 97 + 156 = 720\) or \(4x + 556 = 720\) oe or \(\dfrac{\text{“720”} - (164 + 139 + 97 + 156)}{4}\) or \(\dfrac{\text{“720”} - 556}{4}\) or \(\dfrac{164}{4}\) oe | M1 |
| 41 | A1 |
| (3) |
Notes
M1: For complete method to find the total of interior angles or 720
M1: Dep
For a correct equation using their 720 or
For a complete numerical method
Alternative Method
| Scheme | Marks |
|---|---|
| Eg \(180 - 156 + 180 - 139 + 180 - 164 + 180 - 97 + 180 - x + 180 - 3x = 360\) or \(24 + 41 + 16 + 83 + 180 - x + 180 - 3x = 360\) or \(1080 - 556 - 4x = 360\) | M2 |
| 41 | A1 |
Notes
M2: For an equation coming from the correct method relating to the sum of exterior angles.