Describing patterns and sequences

problem

Centred Squares

Age

7 to 11

Challenge level

2 out of 3

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

2 out of 3

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

Magazines

Age

7 to 11

Challenge level

2 out of 3

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

2 out of 3

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

2 out of 3

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

2 out of 3

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

A Calendar Question

Age

7 to 11

Challenge level

2 out of 3

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

2 out of 3

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

2 out of 3

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

Beads

Age

7 to 11

Challenge level

2 out of 3

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