Question 1
29360

Express \(0.25\)% as a fraction

\(\dfrac{1}{{400}}\)

\begin{aligned}
0.25 \% &=\frac{25}{100} \times \frac{1}{100} \\
&=\frac{1}{4} \times \frac{1}{100} \\
&=\frac{1}{400}
\end{aligned}

Question 2
29361

Express \(\dfrac{3}{{20}}\) as a percentage

\(15\% \)

\begin{aligned}
\frac{3}{20} &=\frac{3}{20} \times 100 \% \\
&=15 \%
\end{aligned}

Question 3
29362

Find \(2\frac{1}{2}\% \) of $1200

\(\$ 30\)

\begin{aligned}
1200 \times 2.5 \% &=1200 \times 2.5 \times \frac{1}{100} \\
&=12 \times 2.5 \\
&=\$30
\end{aligned}

Question 4
29363

Express \(28~\text{cm}\) as a percentage of \(4~\text{m}\)

\(7\% \)

\begin{aligned}
4 \mathrm{~m}&= 4 \times 100 \mathrm{~cm} \\
&=400 \mathrm{~cm} \\
\therefore \frac{28}{400}& \times 100 \%=7 \%
\end{aligned}

Question 5
29364

In a particular school of 840 students, 150 are year 12 students. What percentage of the schools population are year 12 students?

\(17.9\% \)

\(\dfrac{150}{840} \times 100 \%=17.9 \%\)