What statements can you make about the car that passes the school gates at 11am on Monday? How will you come up with statements and test your ideas?

Can you guess the colours of the 10 marbles in the bag? Can you develop an effective strategy for reaching 1000 points in the least number of rounds?

Nine cross country runners compete in a team competition in which there are three matches. If you were a judge how would you decide who would win?

You are organising a school trip and you need to write a letter to parents to let them know about the day. Use the cards to gather all the information you need.

If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

What can you say about the child who will be first on the playground tomorrow morning at breaktime in your school?

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

If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?

Can you find sets of numbers which satisfy each of our mean, median, mode and range conditions?

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

You may like to read the article on Morse code before attempting this question. Morse's letter analysis was done over 150 years ago, so might there be a better allocation of symbols today?

Can you decide whether these short statistical statements are always, sometimes or never true?

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

What happens to the average if you subtract 8 from all of the numbers?

A random ramble for teachers through some resources that might add a little life to a statistics class.

This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.

Which countries have the most naturally athletic populations?

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

Statistics problems for primary learners to work on with others.

Statistics problems for inquiring primary learners.

Statistics problems at primary level that require careful consideration.

Statistics problems at primary level that may require resilience.

This short article gives an outline of the origins of Morse code and its inventor and how the frequency of letters is reflected in the code they were given.

Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...

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

Anna, Ben and Charlie have been estimating 30 seconds. Who is the best?

Here is the start of a six-part challenge. Can you get to the end and crack the final message?

With access to weather station data, what interesting questions can you investigate?

This article for teachers looks at some suggestions taken from the NRICH website that offer a broad view of data and ask some more probing questions about it.

Can you deduce which Olympic athletics events are represented by the graphs?

Invent a scoring system for a 'guess the weight' competition.

Design and test a paper helicopter. What is the best design?