Describing patterns and sequences

Take a look at the multiplication square. The first eleven triangle numbers have been identified. Can you see a pattern? Does the pattern continue?

Investigate these hexagons drawn from different sized equilateral triangles.

Investigate and explain the patterns that you see from recording just the units digits of numbers in the times tables.

A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle contains 20 squares. What size rectangle(s) contain(s) exactly 100 squares? Can you find them all?

Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.

If the numbers 5, 7 and 4 go into this function machine, what numbers will come out?

These sixteen children are standing in four lines of four, one behind the other. They are each holding a card with a number on it. Can you work out the missing numbers?

There are ten children in Becky's group. Can you find a set of numbers for each of them? Are there any other sets?

A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?