Time

problem
Favourite

Buses

Age

11 to 14

Challenge level

A bus route has a total duration of 40 minutes. Every 10 minutes, two buses set out, one from each end. How many buses will one bus meet on its way from one end to the other end?
problem
Favourite

An Unhappy End

Age

11 to 14

Challenge level

Two engines, at opposite ends of a single track railway line, set off towards one another just as a fly, sitting on the front of one of the engines, sets off flying along the railway line...
problem
Favourite

All in a Jumble

Age

11 to 14

Challenge level

My measurements have got all jumbled up! Swap them around and see if you can find a combination where every measurement is valid.
problem
Favourite

Thousands and Millions

Age

11 to 14

Challenge level

Here's a chance to work with large numbers...
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

Flying Down Under

Age

11 to 14

Challenge level

Fred flew to Melbourne, Australia. What time was it in Melbourne when Fred's flight arrived?
problem

Digital Times

Age

11 to 14

Challenge level

Which segment on a digital clock is lit most each day? Which segment is lit least? Does it make any difference if it is set to 12 hours or 24 hours?
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

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

Three of a Kind

Age

11 to 14

Challenge level

How long is it between 5:55 and the next time all three digits on a digital clock are the same?