Foundation January 2022 Paper 1R Q13
13
(a) Factorise \(6x - 15\) (1)
There are 200 bolts in each box of bolts.
Samira buys \(c\) boxes of bolts.
Samira uses the bolts she bought to fill packets of bolts.
There are 50 bolts in each packet of bolts.
Samira sells \(d\) packets of bolts.
The total number of bolts Samira has left is \(T\)
(b) Write down a formula for \(T\) in terms of \(c\) and \(d\) (3)
| Scheme | Marks |
|---|---|
| \(3(2x - 5)\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(T = 200c - 50d\) | B3 |
| (3) | |
| (4 marks) |
Notes
B3: for \(T = 200c - 50d\) oe
(B2 for \(T = 200c + kd\)
or \(T = kc - 50d\)
or \(200c - 50d\))
(B1 for \(200c\) or \(-50d\) or \(50d\)
or \(T = kc + pd\) where \(k \neq 0\) or 200 and \(p \neq 0\) or \(\pm 50\))