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ACS Junior 2025 P6 Maths Prelim — Paper 1 Booklet A Q15 Solution

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

Question

Mollie had a container full of flour. Nellie and Ollie each had $\frac{2}{7}$ of what Mollie had. Mollie gave away some flour to Nellie and Ollie so that all 3 of them have the same amount of flour in the end. What fraction of flour did Mollie give away?

1. $\frac{5}{7}$
2. $\frac{5}{14}$
3. $\frac{5}{21}$
4. $\frac{10}{21}$

Answer: 4

Worked solution

$\text{Let Mollie's flour} = m$
$\text{Nellie} = \tfrac{2}{7}m,\ \text{Ollie} = \tfrac{2}{7}m$
$\text{Total} = m + \tfrac{2}{7}m + \tfrac{2}{7}m = \tfrac{11}{7}m$
$\text{Each ends with} = \tfrac{1}{3} \times \tfrac{11}{7}m = \tfrac{11}{21}m$
$\text{Mollie gave away} = m - \tfrac{11}{21}m = \tfrac{10}{21}m$
$\text{Fraction} = \tfrac{10}{21}$

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