Higher June 2025 Paper 1 Q2

2 Anna makes cups.
Each cup costs 6 Swiss francs to make.

Anna puts the cups into boxes to sell.
Each box contains 4 cups.

Anna sells 80 boxes of cups for a total of 2160 Swiss francs.

(a) Work out the percentage profit Anna makes.
Show your working clearly. (4)

The height of each cup is 9 cm, correct to the nearest cm

(b) Write down the lower bound of the height. (1)

The weight of each cup is 120 g, correct to the nearest 10 g

Mark scheme (a)

Scheme	Marks
4 × 6 × 80 (= 1920) or 4 × 6 (= 24) or 2160 ÷ 80 (= 27) or 2160 ÷ (80 × 4) (= 6.75)	M1
2160 – “1920” (= 240) or \(\dfrac{2160}{\text{``}{1920}\text{''}}(= 1.125)\) or “27” – “24” (= 3) or \(\dfrac{\text{``}{27}\text{''}}{\text{``}{24}\text{''}}(= 1.125)\) or “6.75” – 6 (= 0.75) or \(\dfrac{\text{``}{6.75}\text{''}}{6}(= 1.125)\)	M1
\(\dfrac{\text{``}{240}\text{''}}{\text{``}{1920}\text{''}}(\times 100)\) or 0.125 (× 100) or \(\left(\dfrac{2160}{\text{``}{1920}\text{''}} - 1\right)(\times 100)\) or (“1.125” – 1) (× 100) or “1.125” × 100 (= 112.5) or \(\dfrac{\text{``}{3}\text{''}}{\text{``}{24}\text{''}}(\times 100)\) or 0.125 (× 100) or \(\left(\dfrac{\text{``}{27}\text{''}}{\text{``}{24}\text{''}} - 1\right)(\times 100)\) or (“1.125” – 1) (× 100) or “1.125” × 100 (= 112.5) or \(\dfrac{\text{``}{0.75}\text{''}}{6}(\times 100)\) or 0.125 (× 100) or \(\left(\dfrac{\text{``}{6.75}\text{''}}{6} - 1\right)(\times 100)\) or (“1.125” – 1) (× 100) or “1.125” × 100 (= 112.5)	M1
Working required Answer: 12.5	A1
	(4)

M1: for method to work out total income or income from one box or expenditure for one box or income per cup

M1: for working out the profit or income ÷ expenditure

M1: for a method to reach one step from the answer ie getting to \(\dfrac{1}{8}\) oe or 0.125 or 112.5

A1: dep on M1

Scheme	Marks
8.5	B1
	(1)