Foundation January 2022 Paper 1 Q12
12 Alisa, Jena and Mikael each pick cucumbers.
Alisa picks \(C\) cucumbers.
Jena picks 5 fewer cucumbers than Alisa.
Mikael picks twice as many cucumbers as Alisa.
The total number of cucumbers picked by Alisa, Jena and Mikael is \(T\)
Find a formula for \(T\) in terms of \(C\)
Give your formula in its simplest form.
(3)
| Scheme | Marks |
|---|---|
| \(C - 5\) oe or \(2C\) oe or \(T =\) a linear expression in \(C\) | M1 |
| \(C + C - 5 + 2C\) (\(= 4C - 5\)) oe or for \(T =\) an expression in \(C\) with the expression in \(C\) coming from adding at least 2 of \(C\), \(2C\), \(C - 5\) eg \(T = 2C + C - 5\) or \(T = C + C^2 + C - 5\) | M1 |
| \(T = 4C - 5\) | A1 |
| (3) | |
| (3 marks) |
Notes
M1: for one of \(C - 5\) oe or \(2C\) oe
or \(T =\) linear expression in \(C\)
A1: oe but must be simplified
eg allow \(T = 4 \times C - 5\)