Home › P6 Prelim Papers › Catholic High 2025 › Q15

Catholic High 2025 P6 Maths Prelim — Paper 1 Booklet A Q15 Solution

Paper 1 Booklet A · Q15 · 2 marks · Fractions and Decimals

Question

Joe baked some chocolate muffins and vanilla muffins. He sold an equal number of chocolate muffins and vanilla muffins. He had $\frac{3}{4}$ of the vanilla muffins and $\frac{3}{7}$ of the chocolate muffins left. What fraction of the muffins were sold?
Answer: 2

Worked solution

  1. \text{Vanilla sold} = 1 - \frac{3}{4} = \frac{1}{4} \text{ of the vanilla muffins}
  2. \text{Chocolate sold} = 1 - \frac{3}{7} = \frac{4}{7} \text{ of the chocolate muffins}
  3. \text{Equal numbers sold}: \frac{1}{4}v = \frac{4}{7}c \Rightarrow 7v = 16c
  4. \text{Total baked} = v + c = v + \frac{7}{16}v = \frac{23}{16}v
  5. \text{Total sold} = 2 \times \frac{1}{4}v = \frac{1}{2}v
  6. \text{Fraction sold} = \frac{1}{2}v \div \frac{23}{16}v = \frac{8}{23}

Practise the whole paper

This is one question from the Catholic High 2025 P6 prelim. Practise the full paper online — every question marked instantly, with worked solutions.

See the Catholic High 2025 paper →

More like this: P6 Fractions and Decimals questions · all P6 prelim papers · free sample.