Estimating and approximating

problem
The fastest cyclist

Age

14 to 16

Challenge level

Andy is desperate to reach John o'Groats first. Can you devise a winning race plan?
problem
Branching processes and extinction

Age

16 to 18

Challenge level

An advanced mathematical exploration supporting our series of articles on population dynamics for advanced students.
problem
Biology measurement challenge

Age

14 to 16

Challenge level

Analyse these beautiful biological images and attempt to rank them in size order.
problem
Does this sound about right?

Age

14 to 16

Challenge level

Examine these estimates. Do they sound about right?
problem
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?
problem
Counting sweets

Age

7 to 14

Challenge level

How might you use mathematics to improve your chances of guessing the number of sweets in a jar?
problem
Discuss and choose

Age

5 to 11

Challenge level

This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.
problem
Can you make 100?

Age

11 to 14

Challenge level

How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?
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?
problem
Big and small numbers in chemistry

Age

14 to 16

Challenge level

Get some practice using big and small numbers in chemistry.