Speed and acceleration

problem
Favourite

Nutrition and Cycling

Age

14 to 16

Challenge level

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

Speeding Boats

Age

14 to 16

Challenge level

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

Take a Message Soldier

Age

14 to 18

Challenge level

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?
problem
Favourite

Dangerous Driver?

Age

16 to 18

Challenge level

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

Circuit Training

Age

14 to 16

Challenge level

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 meet at the start again? If so, after how many circuits?
problem

Motion Sensor

Age

14 to 16

Challenge level

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

Escalator

Age

14 to 16

Challenge level

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. ... How many steps are there on the escalator?
problem

On the Road

Age

14 to 16

Challenge level

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

Illusion

Age

11 to 16

Challenge level

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?
problem

Hike and Hitch

Age

14 to 16

Challenge level

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 road (at 4 miles per hour)...