Higher November 2021 Paper 1 Q11
11 The diagram shows two rectangles, A and B.
All measurements are in centimetres.
The area of rectangle A is equal to the area of rectangle B.
Find an expression for \(y\) in terms of \(w\). (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| \(\dfrac{30w}{6 - 21w}\) | P1 | for forming an equation, eg \(6(2w + y) = 7w(3y + 6)\) or \(12w + 6y = 21wy + 42w\) oe |
| P1 | for expanding brackets correctly and gathering \(w\) terms or isolating \(y\) terms in a correct equation, eg \(6y = 21wy + 30w\) or \(6y - 21wy = 42w - 12w\) or \(6y - 21wy = 30w\) | |
| P1 | (dep on two terms in \(y\)) for factorising out the \(y\), eg \(y(6 - 21w) = 42w - 12w\) or \(y(6 - 21w) = 30w\) or \(3y(2 - 7w) = 30w\) | |
| A1 | for (\(y =\)) \(\dfrac{30w}{6 - 21w}\) oe |
Additional guidance
Condone missing brackets for this mark