Conjecturing and generalising

A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

Four strategy dice games to consolidate pupils' understanding of rounding.

In each of these games, you will need a little bit of luck and your knowledge of place value to develop a winning strategy.

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?

Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?

Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?

Take three consecutive numbers and add them together. What do you notice?