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

Simplify the ratio $18 : 24$.

Share £$240$ in the ratio $3 : 5$.

Write the ratio $4 : 10$ in the form $1 : n$.

Increase £$150$ by $20\%$.

A TV costs £$96$ after a $20\%$ reduction. What was its original price?

$y$ is directly proportional to $x$. When $x = 6$, $y = 15$. Find $y$ when $x = 10$.

$y$ is inversely proportional to $x$. When $x = 4$, $y = 9$. Find $y$ when $x = 6$.

A car travels $210$ km in $3$ hours. What is its average speed?

A block has mass $600$ g and volume $80$ cm$^3$. What is its density?

£$2000$ is invested at $4\%$ compound interest per year. What is its value after $2$ years?

A car bought for £$10000$ depreciates by $20\%$ each year. What is its value after $2$ years?

Convert $15$ m/s to km/h.

A distance-time graph rises in a straight line from $20$ m at $t = 2$ s to $80$ m at $t = 8$ s. What is the speed?

A map scale is $1 : 25000$. A distance of $6$ cm on the map represents what real distance?