Expressing Amounts as Fractions and Percentages - Questions

Question 1

In a class of ${\rm{35}}$ students, ${\rm{8}}$ ride bikes, ${\rm{9}}$ walk to school and the rest catch the bus.

a) What fraction walk to school?
b) What percentage correct to nearest whole number catch the bus?

Answer

$a) ~ \dfrac{9}{{35}}\,\,b) ~\ 51\% $

Worked Solution

Question 2

Convert ${\rm{75}}$ out of ${\rm{120}}$ into a simplified fraction.

Answer

$\dfrac{5}{8}$

Worked Solution

Question 3

A hockey team scored ${\rm{ 10 }}$ goals. If one player scored ${\rm{6 }}$ of them, what is this as a percentage of the team score?

Answer

$60\% $

Worked Solution

Question 4

Nathan answered ${\rm{23}}$ questions correctly out of ${\rm{25}}$ in his driving test. If the pass mark is ${\rm{95\% , }}$ did he pass?

Answer

$No$

Worked Solution

Question 5

The Volley ball final attracted ${\rm{87986}}$ people to the game, but ${\rm{96570}}$ tickets were sold before the match.

a) What fraction of the sold tickets were used?
b) What percentage (correct to the nearest whole number) of the sold tickets were not used?

Answer

$a) ~\dfrac{{41}}{{45}}\,\,b) ~\ 9\% $

Worked Solution

Question 6

A jar contains 25 jellybeans and 35 gumballs. What is the fraction of jellybeans in the jar?

$\dfrac{2}{3}$

$\dfrac{4}{9}$

$\dfrac{3}{5}$

$\dfrac{5}{{12}}$

Answer

$\dfrac{5}{{12}}$

Worked Solution

Question 7

Jo earns $1240 per week and saves $186. What fraction of her wage does she save?

Answer

$\dfrac{3}{{20}}$

Worked Solution

Question 8

A jar is three quarters full. One eighth of the liquid is poured out. What fraction remains in the jar?

Answer

$\dfrac{5}{8}$

Worked Solution

Question 9

Find the percentage change when $12 becomes $20.

Answer

$66\dfrac{2}{3}\% $

Worked Solution

Question 10

Bill scores 24 out of 32 in a maths test. What percentage is this?

Answer

$75\%$

Worked Solution