Foundation June 2024 Paper 3 Q17
17
(a) There are 30 students in a class.
12 of the students have school lunch.
Work out the ratio
students having school lunch : students not having school lunch
Give your answer in its simplest form. [2 marks]
(b) In a different class
students wearing glasses : students not wearing glasses \(= 3 : 8\)
What fraction of students in this class wear glasses? [1 mark]
(c) The ratio \(4 : 9\) is written in the form \(1 : n\)
Work out the value of \(n\). [1 mark]
| Answer | Mark | Comments |
|---|---|---|
| \(12 : 18\) | B1 | oe eg \(6 : 9\) may be implied by correct answer |
| \(2 : 3\) or \(1 : 1.5\) or \(1 : \dfrac{3}{2}\) or \(\dfrac{2}{3} : 1\) | B1ft | ft their ratio |
Additional guidance
| Accept [0.66, 0.67] for \(\dfrac{2}{3}\) | |
| \(2 : 3\) | B1B1 |
| Answer \(1 : \dfrac{6}{4}\) | B1B0 |
| \(12 : 30\) followed by \(2 : 5\) | B0B1ft |
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{3}{11}\) | B1 | oe fraction |
| Answer | Mark | Comments |
|---|---|---|
| 2.25 or \(2\dfrac{1}{4}\) or \(\dfrac{9}{4}\) | B1 | oe |
Additional guidance
| Condone eg \(1 : 2.25\) | B1 |