Was it possible that this dangerous driving penalty was issued in error?

A car is travelling along a dual carriageway at constant speed. Every 3 minutes a bus passes going in the opposite direction, while every 6 minutes a bus passes the car travelling in the same. . . .

At Holborn underground station there is a very long escalator. Two people are in a hurry and so climb the escalator as it is moving upwards, thus adding their speed to that of the moving steps. . . .

Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?

To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...

In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.

A messenger runs from the rear to the head of a marching column and back. When he gets back, the rear is where the head was when he set off. What is the ratio of his speed to that of the column?

Mike and Monisha meet at the race track, which is 400m round. Just to make a point, Mike runs anticlockwise whilst Monisha runs clockwise. Where will they meet on their way around and will they ever. . . .

My average speed for a journey was 50 mph, my return average speed of 70 mph. Why wasn't my average speed for the round trip 60mph ?

Can you find the lap times of the two cyclists travelling at constant speeds?

Two buses leave at the same time from two towns Shipton and Veston on the same long road, travelling towards each other. At each mile along the road are milestones. The buses' speeds are constant. . . .

Swimmers in opposite directions cross at 20m and at 30m from each end of a swimming pool. How long is the pool ?

Have you ever wondered what it would be like to race against Usain Bolt?

Four vehicles travel along a road one afternoon. Can you make sense of the graphs showing their motion?

A conveyor belt, with tins placed at regular intervals, is moving at a steady rate towards a labelling machine. A gerbil starts from the beginning of the belt and jumps from tin to tin.

Two motorboats travelling up and down a lake at constant speeds leave opposite ends A and B at the same instant, passing each other, for the first time 600 metres from A, and on their return, 400. . . .

Fifteen students had to travel 60 miles. They could use a car, which could only carry 5 students. As the car left with the first 5 (at 40 miles per hour), the remaining 10 commenced hiking along the. . . .

A cyclist and a runner start off simultaneously around a race track each going at a constant speed. The cyclist goes all the way around and then catches up with the runner. He then instantly turns. . . .

Looking at the graph - when was the person moving fastest? Slowest?

A security camera, taking pictures each half a second, films a cyclist going by. In the film, the cyclist appears to go forward while the wheels appear to go backwards. Why?

Brian swims at twice the speed that a river is flowing, downstream from one moored boat to another and back again, taking 12 minutes altogether. How long would it have taken him in still water?

Two boats travel up and down a lake. Can you picture where they will cross if you know how fast each boat is travelling?

Four vehicles travelled on a road. What can you deduce from the times that they met?

This set of resources for teachers offers interactive environments to support work on graphical interpretation at Key Stage 4.