4MA0 Higher January 2014 Paper 4 Q1
1 A school has 840 pupils and 40 teachers.
(a) Find the ratio of the number of pupils to the number of teachers.
Give your ratio in the form \(n : 1\) (2)
Give your ratio in the form \(n : 1\) (2)
In Year 11 at the school, the ratio of the number of pupils who study Chemistry to the number of pupils who study Physics is 3 : 2
(b) 105 pupils in Year 11 study Chemistry.
Work out the number of pupils in Year 11 who study Physics. (2)
Work out the number of pupils in Year 11 who study Physics. (2)
For the 105 pupils who study Chemistry, the ratio of the number of boys to the number of girls is 4 : 3
(c) Work out the number of girls in Year 11 who study Chemistry. (2)
| Scheme | Marks |
|---|---|
| 840 : 40 oe or 840 ÷ 40 oe or 1 : 21 | M1 |
| 21 | A1 |
| (2) |
Notes
A1: Accept 21 : 1
| Scheme | Marks |
|---|---|
| (105 ÷ 3) x 2 | M1 |
| 70 | A1 |
| (2) |
Notes
M1: M1 for 105 ÷ 3 (=35)
| Scheme | Marks |
|---|---|
| (105 ÷ {4+3}) x 3 | M1 |
| 45 | A1 |
| (2) | |
| (6 marks) |
Notes
M1: M1 for 105 ÷ (4+3) (=15)