Home › P6 Prelim Papers › Tao Nan 2025 › Q12

Tao Nan 2025 P6 Maths Prelim — Paper 1 Booklet A Q12 Solution

Paper 1 Booklet A · Q12 · 2 marks · Algebra

Question

Ali had $y$ marbles. Bala had 5 more marbles than Ali. Charles had 3 times as many marbles as Ali. They had 45 marbles altogether. How many more marbles did Charles have than Bala?
Answer: 3

Worked solution

  1. \(\text{Ali} = y, \text{Bala} = y + 5, \text{Charles} = 3y\)
  2. \(y + (y+5) + 3y = 45\)
  3. \(5y + 5 = 45\)
  4. \(y = 8\)
  5. \(\text{Charles} - \text{Bala} = 3(8) - (8+5) = 24 - 13 = 11\)

Practise the whole paper

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

See the Tao Nan 2025 paper →

More like this: P6 Algebra questions · all P6 prelim papers · free sample.