I've made some cubes and some cubes with holes in. This challenge invites you to explore the difference in the number of small cubes I've used. Can you see any patterns?
What are the next three numbers in this sequence? Can you explain why are they called pyramid numbers?
Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!
Have a go at this 3D extension to the Pebbles problem.
Here are some more lower primary number pattern tasks for you to try.
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
If I use 12 green tiles to represent my lawn, how many different ways could I arrange them? How many border tiles would I need each time?
While we were sorting some papers we found 3 strange sheets which seemed to come from small books but there were page numbers at the foot of each page. Did the pages come from the same book?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Explore one of these five pictures.
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.
Polygonal numbers are those that are arranged in shapes as they enlarge. Explore the polygonal numbers drawn here.
How do you know if your set of dominoes is complete?
These lower primary activities offer opportunities for children to create, recognise and extend number patterns.
Can you continue this pattern of triangles and begin to predict how many sticks are used for each new "layer"?
Investigate the successive areas of light blue in these diagrams.
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?
Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.
Daisy and Akram were making number patterns. Daisy was using beads that looked like flowers and Akram was using cube bricks. First they were counting in twos.
Ben’s class were cutting up number tracks. First they cut them into twos and added up the numbers on each piece. What patterns could they see?
Investigate these hexagons drawn from different sized equilateral triangles.
Can you go from A to Z right through the alphabet in the hexagonal maze?
"Tell me the next two numbers in each of these seven minor spells", chanted the Mathemagician, "And the great spell will crumble away!" Can you help Anna and David break the spell?
There are ten children in Becky's group. Can you find a set of numbers for each of them? Are there any other sets?
Investigate the numbers that come up on a die as you roll it in the direction of north, south, east and west, without going over the path it's already made.
How many different sets of numbers with at least four members can you find in the numbers in this box?
An environment which simulates working with Cuisenaire rods.
These upper primary activities offer opportunities for children to recognise, extend and explain number patterns.
This article for primary teachers outlines how we can encourage children to create, identify, extend and explain number patterns and why being able to do so is useful.
Investigate what happens when you add house numbers along a street in different ways.
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?
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?
Find the next number in this pattern: 3, 7, 19, 55 ...
Your challenge is to find the longest way through the network following this rule. You can start and finish anywhere, and with any shape, as long as you follow the correct order.
At the beginning of May Tom put his tomato plant outside. On the same day he sowed a bean in another pot. When will the two be the same height?
July 1st 2001 was on a Sunday. July 1st 2002 was on a Monday. When did July 1st fall on a Monday again?
Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?
In this section from a calendar, put a square box around the 1st, 2nd, 8th and 9th. Add all the pairs of numbers. What do you notice about the answers?
In this investigation, you are challenged to make mobile phone numbers which are easy to remember. What happens if you make a sequence adding 2 each time?
What patterns can you make with a set of dominoes?
EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.