Try grouping the dominoes in the ways described. Are there any left over each time? Can you explain why?

Can you find out in which order the children are standing in this line?

In this problem you will do your own poll to find out whether your friends think two squares on a board are the same colour or not.

Decide which charts and graphs represent the number of goals two football teams scored in fifteen matches.

Have a look at all the information Class 5 have collected about themselves. Can you find out whose birthday it is today?

Have a look at this table of how children travel to school. How does it compare with children in your class?

Imagine picking up a bow and some arrows and attempting to hit the target a few times. Can you work out the settings for the sight that give you the best chance of gaining a high score?

Carry out some time trials and gather some data to help you decide on the best training regime for your rowing crew.

Start with two numbers. This is the start of a sequence. The next number is the average of the last two numbers. Continue the sequence. What will happen if you carry on for ever?

Find the frequency distribution for ordinary English, and use it to help you crack the code.

There are four unknown numbers. The mean of the first two numbers is 4, and the mean of the first three numbers is 9. The mean of all four numbers is 15. If one of the four numbers was 2, what were. . . .

We use statistics to give ourselves an informed view on a subject of interest. This problem explores how to scale countries on a map to represent characteristics other than land area.

Given a probability density function find the mean, median and mode of the distribution.

Your data is a set of positive numbers. What is the maximum value that the standard deviation can take?

The probability that a passenger books a flight and does not turn up is 0.05. For an aeroplane with 400 seats how many tickets can be sold so that only 1% of flights are over-booked?

Many of you contributed to the solution for this problem, which was harder than it might have looked.

See how rotations, translations and glide reflections are all made up of compositions of reflections.

This article for teachers describes an activity which encourages meaningful data collection, display and interpretation.

A maths-based Football World Cup simulation for teachers and students to use.