Mathematics 0580 · IGCSE · Statistical charts and diagrams

Statistical charts and diagrams — practice question

Claudia gets some students to pick their preferred science subject from biology, chemistry and physics. The pie chart summarises the outcomes. It is split into three sectors named Biology, Chemistry and Physics. Biology has angle $45^{\circ}$. Physics has angle $225^{\circ}$. Chemistry is the sector left over.
(a(i))[1]

Find the percentage of students who chose chemistry.

(a(ii))[2]

Find the fraction of students who chose physics. Give your answer in its simplest form.

(a(iii))[2]

For the numbers of students choosing each subject, find the ratio biology : chemistry : physics. Give your answer in its simplest form.

(a(iv))[1]

Explain how Marcus knows this.

(a(v))[2]

Work out the number of students who choose physics.

(b(i))[1]

Work out the total number of students in the class.

(b(ii))[1]

Find the value of $n(G)$.

(b(iii))[1]

Find the probability that the selected student studies geography and history.

(b(iv))[1]

Complete the Venn diagram to show the change.

Worked solution & mark scheme

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