BECE Mathematics 2026 Paper

Concept:The whole pocket money is $1$. Add the fractions spent, then subtract the total from $1$.Solution:Fraction spent $= \dfrac{1}{4} + \dfrac{1}{3}$The LCM of 4 and 3 is 12, so change both to twelfths:$\dfrac{1}{4} = \dfrac{3}{12}$ and $\dfrac{1}{3} = \dfrac{4}{12}$Total spent $= \dfrac{3}{12} + \dfrac{4}{12} = \dfrac{7}{12}$Fraction remaining $= 1 - \dfrac{7}{12} = \dfrac{12}{12} - \dfrac{7}{12} = \dfrac{5}{12}$Key point: $\dfrac{7}{12}$ (option C) is the fraction spent, not the fraction that remains.Answer:Option B ($\frac{5}{12}$)