Describing patterns and sequences

problem

Next Number

Age

7 to 11

Challenge level

Find the next number in this pattern: 3, 7, 19, 55 ...
problem

A Calendar Question

Age

7 to 11

Challenge level

July 1st 2001 was on a Sunday. July 1st 2002 was on a Monday. When did July 1st fall on a Monday again?
problem

Sets of Numbers

Age

7 to 11

Challenge level

How many different sets of numbers with at least four members can you find in the numbers in this box?
problem

Sept03 Sept03 Sept03

Age

7 to 11

Challenge level

This number has 903 digits. What is the sum of all 903 digits?
problem

Beads

Age

7 to 11

Challenge level

Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
problem

Light Blue - Dark Blue

Age

7 to 11

Challenge level

Investigate the successive areas of light blue in these diagrams.
problem

All Seated

Age

7 to 11

Challenge level

Look carefully at the numbers. What do you notice? Can you make another square using the numbers 1 to 16, that displays the same properties?
problem

Sets of Four Numbers

Age

7 to 11

Challenge level

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

Function Machines

Age

7 to 11

Challenge level

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

Investigating Pascal's Triangle

Age

7 to 11

Challenge level

In this investigation, we look at Pascal's Triangle in a slightly different way - rotated and with the top line of ones taken off.