Other tags that relate to Homes
Investigations. Combinations. Practical Activity. Working systematically. Trial and improvement. Multiplication & division. Generalising. Addition & subtraction. Visualising. Factors and multiples.There are 67 results
Broad Topics > Patterns, Sequences and Structure > Describing patterns and sequences
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?
Lost Books
Age 7 to 11
Challenge Level
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?
Calendar Patterns
Age 7 to 11
Challenge Level
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?
Amazing Alphabet Maze
Age 5 to 7
Challenge Level
Can you go from A to Z right through the alphabet in the hexagonal maze?
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.
Polygonals
Age 7 to 11
Challenge Level
Polygonal numbers are those that are arranged in shapes as they enlarge. Explore the polygonal numbers drawn here.
Bundles of Cubes
Age 7 to 11
Challenge Level
Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle?
Exploring Wild & Wonderful Number Patterns
Age 7 to 11
Challenge Level
EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.
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?
Centred Squares
Age 7 to 11
Challenge Level
This challenge, written for the Young Mathematicians' Award, invites you to explore 'centred squares'.
So It's 28
Age 5 to 7
Challenge Level
Here is your chance to investigate the number 28 using shapes, cubes ... in fact anything at all.
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?
Taking a Die for a Walk
Age 5 to 11
Challenge Level
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.
Caterpillars
Age 5 to 7
Challenge Level
These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?
A Shapely Network
Age 7 to 11
Challenge Level
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.
Sticky Triangles
Age 7 to 11
Challenge Level
Can you continue this pattern of triangles and begin to predict how many sticks are used for each new "layer"?
Month Mania
Age 5 to 11
Challenge Level
Can you design a new shape for the twenty-eight squares and arrange the numbers in a logical way? What patterns do you notice?
Sending Cards
Age 7 to 11
Challenge Level
This challenge asks you to investigate the total number of cards that would be sent if four children send one to all three others. How many would be sent if there were five children? Six?
It's All about 64
Age 7 to 11
Challenge Level
Write the numbers up to 64 in an interesting way so that the shape they make at the end is interesting, different, more exciting ... than just a square.
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?
Sept03 Sept03 Sept03
Age 7 to 11
Challenge Level
This number has 903 digits. What is the sum of all 903 digits?
Diagonal in a Spiral
Age 7 to 11
Challenge Level
Investigate the totals you get when adding numbers on the diagonal of this pattern in threes.
Sorting the Numbers
Age 5 to 11
Challenge Level
Complete these two jigsaws then put one on top of the other. What happens when you add the 'touching' numbers? What happens when you change the position of the jigsaws?
More Number Patterns Lower Primary
Age 5 to 7
These lower primary activities offer opportunities for children to create, recognise and extend number patterns.
More Number Patterns Upper Primary
Age 7 to 11
These upper primary activities offer opportunities for children to recognise, extend and explain number patterns.
Pattern Sniffing
Age 5 to 11
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.
More Lower Primary Number Pattern Tasks
Age 5 to 7
Here are some more lower primary number pattern tasks for you to try.
Rods and Rods
Age 7 to 11
Challenge Level
Using only the red and white rods, how many different ways are there to make up the other colours of rod?
Tables Without Tens
Age 7 to 11
Challenge Level
Investigate and explain the patterns that you see from recording just the units digits of numbers in the times tables.
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.
Times Tables Shifts
Age 7 to 11
Challenge Level
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
Counter Ideas
Age 7 to 11
Challenge Level
Here are some ideas to try in the classroom for using counters to investigate number patterns.
Number Tracks
Age 7 to 11
Challenge Level
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?
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.
Lawn Border
Age 5 to 11
Challenge Level
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?
Triangular Hexagons
Age 7 to 11
Challenge Level
Investigate these hexagons drawn from different sized equilateral triangles.
Little Squares
Age 5 to 7
Challenge Level
Look at the squares in this problem. What does the next square look like? I draw a square with 81 little squares inside it. How long and how wide is my square?
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?
The Tomato and the Bean
Age 5 to 7
Challenge Level
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?
Taking Steps
Age 7 to 11
Challenge Level
In each of the pictures the invitation is for you to: Count what you see. Identify how you think the pattern would continue.
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?
The Mathemagician's Seven Spells
Age 7 to 11
Challenge Level
"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?
Street Sequences
Age 5 to 11
Challenge Level
Investigate what happens when you add house numbers along a street in different ways.
Swimming Pool Tiles
Age 7 to 11
Challenge Level
This activity creates an opportunity to explore all kinds of number-related patterns.
Hundred Square
Age 5 to 11
Challenge Level
A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?
NRICH is part of the family of activities in the Millennium Mathematics Project.