Being curious

problem
Reversals

Age

11 to 14

Challenge level

Where should you start, if you want to finish back where you started?
problem
Unequal averages

Age

11 to 14

Challenge level

Play around with sets of five numbers and see what you can discover about different types of average...
problem
Wipeout

Age

11 to 16

Challenge level

Can you do a little mathematical detective work to figure out which number has been wiped out?
problem
Estimating time

Age

11 to 14

Challenge level

How well can you estimate 10 seconds? Investigate with our timing tool.
problem
Perimeter possibilities

Age

11 to 14

Challenge level

I'm thinking of a rectangle with an area of 24. What could its perimeter be?
problem
Beelines

Age

14 to 16

Challenge level

Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?
problem
Odds and evens made fair

Age

14 to 16

Challenge level

In this follow-up to the problem Odds and Evens, we invite you to analyse a probability situation in order to find the general solution for a fair game.
problem
Making spirals

Age

7 to 11

Challenge level

Can you make a spiral for yourself? Explore some different ways to create your own spiral pattern and explore differences between different spirals.
problem
What's in a name?

Age

5 to 7

Challenge level

Here's a very elementary code that requires young children to read a table, and look for similarities and differences.
problem
How tall?

Age

5 to 11

Challenge level

A group of children are discussing the height of a tall tree. How would you go about finding out its height?