Foundation November 2019 Paper 2 Q18
18 Ben is \(n\) years old.
Chloe is twice as old as Ben.
Dan is five years younger than Ben.
The total of Ben’s age, Chloe’s age and Dan’s age is \(T\) years.
(a) Find a formula for \(T\) in terms of \(n\). (3)
(b) In the table below, put a tick (✓) in the box next to the identity.
(1)
| \(3h + 2 = 14\) | |
| \(3a + 4b - 2c\) | |
| \(A = \pi r^2\) | |
| \(5m - 3m = 2m\) | |
| \(x + 7 \leqslant 12\) |
| Answer | Mark | Mark scheme |
|---|---|---|
| \(T = 4n - 5\) | M1 | for \(2n\) or \(n - 5\) or \(T\) = a linear expression in \(n\) |
| M1 | for \(n + 2n + n - 5\) oe OR for \(T\) = an expression in \(n\) with 2 of 3 ages correct eg \(T = n + n^2 + n - 5\) | |
| A1 | for \(T = 4n - 5\) oe eg \(T = n + 2n + n - 5\) |
Additional guidance
Allow variables other than \(n\)
Each age must be an expression in \(n\)
| Answer | Mark | Mark scheme |
|---|---|---|
| \(5m - 3m = 2m\) | B1 | for \(5m - 3m = 2m\) indicated |