Higher November 2023 Paper 1 Q6
6 The diagram shows an isosceles triangle \(ABD\) and the straight line \(ABC\).
\(BA = BD\)
\(x : y = 2 : 1\)
Work out the value of \(w\). (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| 144 | P1 | for using the ratio, eg \(x = 2y\) or \(2y + 2y + y\ (= 180)\) or \(2 + 2 + 1\ (= 5\text{ (parts)})\) |
| P1 | for using angle facts to give an equation, eg \(x + x + y = 180\) or \(2y + 2y + y = 180\) or \(y + w = 180\) or \(5x \div 2 = 180\) oe or \(w = 2x\) or for \(180 \div 5\ (= 36)\) | |
| P1 | for a complete process, eg \(180 - (180 \div 5)\) | |
| A1 | cao |
Additional guidance
The first two marks may be awarded in either order
Award P2 for \(x = 72\) or \(y = 36\)