Higher June 2025 Paper 3 Q7
7
(a) Write \(\;\)2 weeks\(\;\) as a fraction of \(\;\)8 days.
Give your answer in its simplest form. [1 mark]
(b) Write \(\quad\) 56 centimetres : 2.73 metres \(\quad\) as a ratio in the form \(\;1 : n\) [1 mark]
(c) A : B \(= \dfrac{1}{5} : \dfrac{7}{10}\)
Write A as a fraction of B. [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{7}{4}\) | B1 |
Additional guidance
| Do not accept \(1\dfrac{3}{4}\) or 1.75 | B0 |
| Answer | Mark | Comments |
|---|---|---|
| 4.875 or \(\dfrac{39}{8}\) or \(4\dfrac{7}{8}\) | B1 | oe decimal, fraction or mixed number eg \(\dfrac{273}{56}\) accept 4.88 or 4.9 if 4.875 seen in working |
Additional guidance
| \(\dfrac{2.73}{0.56}\) | B0 |
| Units included | B0 |
| Answer | Mark | Comments |
|---|---|---|
| \(\left(\dfrac{1}{5} =\right) \dfrac{2}{10}\) or \(\left(\dfrac{7}{10} =\right) \dfrac{3.5}{5}\) or \(\dfrac{\;\dfrac{1}{5}\;}{\dfrac{7}{10}}\) or \(\dfrac{1}{5} \times \dfrac{10}{7}\) or \(\dfrac{0.2}{0.7}\) or 2 : 7 | M1 | oe both fractions with a common denominator oe ratio |
| \(\dfrac{2}{7}\) | A1 | oe fraction condone \((\text{A} =)\ \dfrac{2}{7}\text{B}\) SC1 \(\dfrac{7}{2}\) |
Additional guidance
| 0.2 : 0.7 with answer \(\dfrac{2}{7}\) | M1A1 |
| 0.2 : 0.7 | M0 |
| \(\dfrac{1}{3.5}\) | M1 |