Speed and acceleration

problem
Bus stop

Age

14 to 16

Challenge level

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 and in the ratio 5 to 4. The buses travel to and fro between the towns. What milestones are at Shipton and Veston?
problem
Revolutions

Age

11 to 14

Challenge level

Jack and Jill run at different speeds in opposite directions around the maypole. How many times do they pass in the first minute?
problem
Bike ride

Age

7 to 11

Challenge level

Nirmala and Riki live 9 kilometres away from the nearest market. They both want to arrive at the market at exactly noon. What time should each of them start riding their bikes?
problem
In order

Age

7 to 11

Challenge level

Can you rank these quantities in order? You may need to find out extra information or perform some experiments to justify your rankings.
problem
Home time

Age

7 to 11

Challenge level

Alice's mum needs to go to each child's house just once and then back home again. How many different routes are there? Use the information to find out how long each road is on the route she took.
problem
Take your dog for a walk

Age

7 to 11

Challenge level

Use the interactivity to move Pat. Can you reproduce the graphs and tell their story?
problem
The hare and the tortoise

Age

7 to 11

Challenge level

In this version of the story of the hare and the tortoise, the race is 10 kilometres long. Can you work out how long the hare sleeps for using the information given?
problem
Walk and ride

Age

7 to 14

Challenge level

How far have these students walked by the time the teacher's car reaches them after their bus broke down?
problem
How far does it move?

Age

11 to 14

Challenge level

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.
problem
Place your orders

Age

11 to 14

Challenge level

Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?