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?
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?
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?
Cuboid Challenge
Age 11 to 14 Challenge Level:
What size square corners should be cut from a square piece of paper to make a box with the largest possible volume?
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?
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?
What's That Graph?
Age 14 to 16 Challenge Level:
Can you work out which processes are represented by the graphs?
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.
Mathematical Modelling - Short Problems
Age 11 to 16
A collection of short Stage 3 and 4 problems on Mathematical Modelling.
NRICH is part of the family of activities in the Millennium Mathematics Project.