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?
Friday 13th
Age 11 to 14 Challenge Level:
Can you explain why every year must contain at least one Friday the thirteenth?
Christmas Trees
Age 11 to 14 Challenge Level:
Christmas trees are planted in a rectangular array. Which is the taller tree, A or B?
Hands Together
Age 11 to 14 Challenge Level:
Sometime during every hour the minute hand lies directly above the hour hand. At what time between 4 and 5 o'clock does this happen?
Mathematical Modelling - Short Problems
Age 11 to 16
A collection of short Stage 3 and 4 problems on Mathematical Modelling.
Cuboid Challenge
Age 11 to 16 Challenge Level:
What's the largest volume of box you can make from a square of paper?
Disease Dynamics - understanding the spread of diseases
Age 14 to 16
A chance to explore the mathematics of networks as applied to epidemics and the spread of disease.
What's That Graph?
Age 14 to 16 Challenge Level:
Can you work out which processes are represented by the graphs?
Speed-time Problems at the Olympics
Age 14 to 16 Challenge Level:
Have you ever wondered what it would be like to race against Usain Bolt?
Where to Land
Age 14 to 16 Challenge Level:
Chris is enjoying a swim but needs to get back for lunch. If she can swim at 3 m/s and run at 7m/sec, how far along the bank should she land in order to get back as quickly as possible?
Slippage
Age 14 to 16 Challenge Level:
A ladder 3m long rests against a wall with one end a short distance from its base. Between the wall and the base of a ladder is a garden storage box 1m tall and 1m high. What is the maximum distance up the wall which the ladder can reach?
10 Olympic Starters
Age 16 to 18 Challenge Level:
10 intriguing starters related to the mechanics of sport.
Big and Small Numbers in Physics - Group Task
Age 16 to 18 Challenge Level:
Work in groups to try to create the best approximations to these physical quantities.
Dangerous Driver?
Age 16 to 18 Challenge Level:
Was it possible that this dangerous driving penalty was issued in error?
Model Solutions
Age 16 to 18 Challenge Level:
How do these modelling assumption affect the solutions?
The Not-so-simple Pendulum 1
Age 16 to 18 Challenge Level:
See how the motion of the simple pendulum is not-so-simple after all.
NRICH is part of the family of activities in the Millennium Mathematics Project.