Describing patterns and sequences

problem
The numbers give the design

Age

7 to 11

Challenge level

Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.
problem
Domino sets

Age

7 to 11

Challenge level

How do you know if your set of dominoes is complete?
problem
Unravelling sequences

Age

7 to 11

Challenge level

Can you describe what is happening as this program runs? Can you unpick the steps in the process?
problem
Centred squares

Age

7 to 11

Challenge level

This challenge, written for the Young Mathematicians' Award, invites you to explore 'centred squares'.
problem
Diagonal in a spiral

Age

7 to 11

Challenge level

Investigate the totals you get when adding numbers in threes on the diagonal of this pattern.
problem
Magazines

Age

7 to 11

Challenge level

Let's suppose that you are going to have a magazine which has 16 pages of A5 size. Can you find some different ways to make these pages? Investigate the pattern for each if you number the pages.
problem
Pebbles

Age

7 to 11

Challenge level

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?
problem
Millennium man

Age

7 to 11

Challenge level

Liitle Millennium Man was born on Saturday 1st January 2000 and he will retire on the first Saturday 1st January that occurs after his 60th birthday. How old will he be when he retires?
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?