Foundation January 2023 Paper 2 Q13
13 There are 380 students in a Sixth Form.
The students are either in the Upper Sixth or in the Lower Sixth.
The number of students in the Upper Sixth is 20 fewer than the number of students in the Lower Sixth.
\(\dfrac{2}{5}\) of the Upper Sixth students study mathematics.
32% of the Lower Sixth students study mathematics.
Work out the total number of students in the Sixth Form who study mathematics.
(4)
| Scheme | Marks |
|---|---|
eg \(\dfrac{380 + 20}{2}\;(= 200)\) or \(\dfrac{380 - 20}{2}\;(= 180)\) or \(\dfrac{380}{2} + 10\;(= 200)\) or \(\dfrac{380}{2} - 10\;(= 180)\) | M1 |
\(\dfrac{2}{5} \times n\) oe or (U6 Maths =) 72 or \(0.32 \times m\) oe or (L6 Maths = ) 64 [where \(n\) and \(m\) are positive numbers] | M1 |
\(\dfrac{2}{5} \times n + 0.32 \times m\) or 72 + 64 | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 136 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: For a correct method to find the number of students in the U6 or the L6
A1: cao