Foundation November 2019 Paper 2 Q14
14
(a) Write each of the following ratios in their simplest form.
(i) 8 : 10 [1]
(ii) 300 ml : 2.1 litres [3]
(b) The ratio \(\sin 30^\circ : \tan 45^\circ\) can be written in the form \(1 : n\).
Find the value of \(n\). [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| (i) 4 : 5 | 1 | Accept 1 : 1.25 or \(1 : \dfrac{5}{4}\) or 0.8 : 1 or \(\dfrac{4}{5} : 1\) | |
| (ii) 1 : 7 final answer | 3 | B1 for 2100 [ml] or 0.3[l] seen M1 for correct partial simplification of their ratio | A correct partially simplified ratio in the same units implies B1 M1 eg 100 : 700 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 2 nfww | 3 | B1 for \(\sin 30 = \tfrac{1}{2}\) oe B1 for \(\tan 45 = 1\) | B marks can be implied if seen on the correct side of a ratio |