Higher June 2025 Paper 1 Q4
4 There are 280 chocolates in a box.
There are only dark chocolates, milk chocolates and white chocolates.
\(\dfrac{1}{7}\) of the 280 chocolates are dark chocolates.
The number of milk chocolates : the number of white chocolates = 1 : 3
The number of white chocolates : the number of dark chocolates = \(n : 1\)
(a) Work out the value of \(n\).
You must show all your working. (5)
You must show all your working. (5)
10 milk chocolates from the box are eaten.
(b) Does this affect your answer to part (a)?
Give a reason for your answer. (1)
Give a reason for your answer. (1)
| Answer | Mark | Mark scheme |
|---|---|---|
| 4.5 | P1 | for a process to find the number of dark chocolates, eg \(280 \times \dfrac{1}{7}\) oe (= 40) |
| P1 | for a process to find one part of the ratio for milk chocolates to white chocolates eg \((280 - \text{``}40\text{''}) \div (1 + 3)\ (= 60)\) | |
| P1 | for a process to find the number of white chocolates, eg \(\text{``}60\text{''} \times 3\ (= 180)\) or \(280 - \text{``}40\text{''} - \text{``}60\text{''}\ (= 180)\) | |
| P1 | for a ratio of white chocolates : dark chocolates eg \(\text{``}180\text{''} : \text{``}40\text{''}\) oe or for a process to find the value of \(n\) eg \(\text{``}180\text{''} \div \text{``}40\text{''}\) | |
| A1 | (dep P3) for 4.5 oe |
Additional guidance
Condone milk, white incorrectly labelled
Labels not required for this mark, but if seen must be correct
Must be a 2-part ratio
Allow \(\text{``}40\text{''} : \text{``}180\text{''}\) if labelled as dark chocolate : white chocolate oe
A correct answer with no supportive working gets 0 marks
Condone answer of 4.5 : 1
| Answer | Mark | Mark scheme |
|---|---|---|
| No with reason | C1 | for No with reason Acceptable examples No, the number of dark chocolates and white chocolates has not changed No, the ratio of \(n\):1 only involved white and dark chocolates No, eating milk chocolates doesn’t change the rest No, the ratio of dark to white chocolates doesn’t change Not acceptable examples Yes,… No, it doesn’t matter how many milk chocolates are eaten No, the number of white chocolates doesn’t change No, the number of dark chocolates doesn’t change |
Additional guidance
Reason must refer to or imply both dark and white chocolates