Edexcel GCSE Mathematics Ratio, proportion and rates of change overview quiz quiz

Simplify the ratio $15 : 25$.

Share $£480$ in the ratio $3 : 5$. How much is the larger share?

$4$ pencils cost $£1.20$. What is the cost of $9$ pencils?

Increase $£60$ by $25\%$ using a multiplier.

A jacket is reduced by $30\%$ in a sale to $£42$. What was the original price?

$£800$ is invested at $5\%$ compound interest. What is its value after $2$ years?

A train travels $180\,\text{km}$ in $2$ hours $15$ minutes. What is its average speed?

An object has a mass of $360\,\text{g}$ and a volume of $45\,\text{cm}^3$. What is its density?

$y$ is directly proportional to $x$. When $x = 6$, $y = 18$. What is $y$ when $x = 10$?

$y$ is inversely proportional to $x$. When $x = 4$, $y = 9$. What is $y$ when $x = 12$?

A car worth $£16000$ depreciates by $10\%$ each year. What is its value after $2$ years?

On a distance-time graph, a straight section goes from $(0, 0)$ to $(4, 80)$, with distance in metres. What is the speed?

The ratio of boys to girls in a club is $3 : 4$. What fraction of the club are girls?

Convert $20\,\text{m/s}$ into kilometres per hour.