These two group activities use mathematical reasoning - one is numerical, one geometric.

Can you go through this maze so that the numbers you pass add to exactly 100?

On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?

Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.

Ram divided 15 pennies among four small bags. He could then pay any sum of money from 1p to 15p without opening any bag. How many pennies did Ram put in each bag?

A game for 2 or more players. Practise your addition and subtraction with the aid of a game board and some dried peas!

What could these drawings, found in a cave in Spain, represent?

This challenge is a game for two players. Choose two numbers from the grid and multiply or divide, then mark your answer on the number line. Can you get four in a row before your partner?

This problem challenges you to find out how many odd numbers there are between pairs of numbers. Can you find a pair of numbers that has four odds between them?

What happens when you add three numbers together? Will your answer be odd or even? How do you know?

In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?

How could you estimate the number of pencils/pens in these pictures?