Mathematics 0580 · IGCSE · Ratio and proportion

Ratio and proportion — practice question

Mrs Singh and Mr Patel work as teachers. They bring their two classes to the theatre to watch a play.
(a(i))[2]

Mrs Singh’s class contains 20 girls. The ratio of girls : boys is $5 : 3$. Show that Mrs Singh has 32 students in her class.

(a(ii))[4]

Mr Patel’s class has 40 students. The ratio of girls : boys is $3 : 2$. For the 72 students in the two classes, determine the ratio of the total number of girls : the total number of boys. Give your answer in its simplest form.

(b)[3]

Calculate the total cost of the tickets.

(c)[2]

Find the time when the play finishes.

(d)[3]

Calculate the percentage increase in the price of a programme.

(e(i))[1]

Write down the probability that a student does not lose their ticket.

(e(ii))[1]

Work out how many of the 72 students you would expect to lose their ticket.

Worked solution & mark scheme

This 16-mark question has a full step-by-step worked solution and mark scheme. One marking point: $\frac{20}{5}(5+3)$ or $\frac{20}{5}\times8$

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