Intermediate November 2023 Unit 2 Q22
22. AB is a straight line.
PQRS is a quadrilateral.
Each angle is given in terms of \(x\) or \(y\).
Diagrams not drawn to scale
Use an algebraic method to find the value of \(x\) and the value of \(y\). [6]
\(x\) = …………… and \(y\) = ……………
| Scheme | Marks | Comments |
|---|---|---|
| Sight of \(12x + 4y = 180\) or equivalent AND \(26x + 7y = 360\) or equivalent | B2 | \(x\) and y terms need to be collected for B2. If B2 not awarded, award B1 for one of the following:
|
| Method to eliminate one variable e.g. equal coefficients AND appropriate intention to add or subtract or use a method of substitution. | M1 | FT ‘their equations’, provided of equivalent difficulty. Allow one error in one term (not the term with equal coefficients). |
| First variable found \(x = 9(^\circ)\) or \(y = 18(^\circ)\) | A1 | CAO (for their equations). |
| Substitute to find the 2nd variable. | m1 | FT substitution of their ‘1st variable’ if M1 gained. |
| Second variable found. | A1 | No marks for ‘trial and improvement’. No marks for an unsupported answer. |