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

In Constantly Passing

Age

14 to 16

Challenge level

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 direction. Buses leave the depot at regular intervals; they travel along the dual carriageway and back to the depot at a constant speed. At what interval do the buses leave the depot?
problem

Tummy Ache

Age

14 to 16

Challenge level

Timmy, Tammy and Tommy all go to the doctors. In what order do they arrive at the surgery?
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

Thunder and Lightning

Age

11 to 14

Challenge level

How far away was the lightning if the flash and the thunderclap were 6 seconds apart?
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?