Rates

A car manufacturer reports that one model consumes 5 litres of fuel to travel 100 km, and emits 110 grams of CO$_2$ for each kilometre driven.

May/June 2015

Yuvraj changes $20500$ rupees and gets $£250$. Sachin changes $26650$ rupees into pounds at the same exchange rate. How many pounds does Sachin receive?

May/June 2015

On Monday, Ravi goes for a $20\text{ km}$ run. His mean speed over the first $12\text{ km}$ is $x\text{ km/h}$. Write down an expression, in terms of $x$, for the time taken to cover the first $12\text{ km}$. Give your answer in minutes.

May/June 2018

Bernard purchased a game in the USA for $\$15$. Alice obtained the same game in Zambia and paid the equivalent amount in Zambian kwacha (ZK). Exchange rate: $1\text{ ZK} = \$0.075$.

May/June 2021

Foxby and Glanton are two villages linked by both a footpath and a road.

May/June 2021

Kabir places $\$250$ in a savings account. The account earns simple interest at a rate of $1.5\%$ each year.

May/June 2022

The picture displays the car’s fuel gauge. This car has $40$ litres of fuel in the tank.

May/June 2024

A train departs station $A$ at $07\,43$. It reaches station $B$ at $10\,27$. Calculate the length of time the train spends travelling from station $A$ to station $B$.

May/June 2024

Calculate the simple interest earned on $\$200$ for $3$ years at $4\%$ per year.

Oct/Nov 2017

As part of her training, Samantha covers $2$ hours of running. During the first $1\frac{1}{2}$ hours, her average speed is $10\text{ km/h}$. In the final $\frac{1}{2}$ hour, she covers $7\text{ km}$.

Oct/Nov 2017

A boat goes from $P$ to $Q$. On reaching $Q$, it turns through $90^{\circ}$ and continues to $R$ as the diagram shows. It then makes the return trip from $R$ to $Q$, and then back to $P$, retracing the same path in reverse. $PQ = 6\,\text{km}$ and $QR = 9\,\text{km}$. The outward part of the trip, from $P$ to $Q$ to $R$, lasts $3$ hours. The return leg, from $R$ to $Q$ to $P$, lasts $2$ hours.

Oct/Nov 2018

Anna’s trips between home and work.

Oct/Nov 2018

Sophie travels $2600$ metres in $12$ minutes by bicycle. Calculate Sophie’s average speed in kilometres per hour.

Oct/Nov 2022

Lara and Marco both cycle $50\text{ km}$ along a cycle trail.

Oct/Nov 2022

Sophia travels at an average speed of $4\text{ km h}^{-1}$.

Oct/Nov 2024

$ABCD$ is a field. Its sides are $AB = 320\text{ m}$, $BC = 250\text{ m}$, $CD = 132\text{ m}$ and $AD = 365\text{ m}$. Angle $BCD = 90^\circ$.

Oct/Nov 2024

Lia covers 800 m in 105 seconds by cycling. The speed-time graph for this trip is shown in the diagram.

Oct/Nov 2025

Sofia puts $400 into a savings account. This account pays simple interest at 2.8% per year. Calculate the total amount of interest Sofia receives after 3 years.

Oct/Nov 2025