Other tags that relate to Taking a Die for a Walk
Working systematically. Investigations. Practical Activity. Generalising. Combinations. Addition & subtraction. Patterned numbers. Multiplication & division. Dice. Describing Sequences.There are 31 results
Broad Topics > Numbers and the Number System > Patterned numbers
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.
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.
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?
Stairs
Age 5 to 11 Challenge Level:
This challenge is to design different step arrangements, which must go along a distance of 6 on the steps and must end up at 6 high.
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.
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?
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.
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?
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?
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?
Birds in the Garden
Age 5 to 11 Challenge Level:
This activity asks you to collect information about the birds you see in the garden. Are there patterns in the data or do the birds seem to visit randomly?
Centred Squares
Age 7 to 11 Challenge Level:
This challenge, written for the Young Mathematicians' Award, invites you to explore 'centred squares'.
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?
Sept03 Sept03 Sept03
Age 7 to 11 Challenge Level:
This number has 903 digits. What is the sum of all 903 digits?
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.
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?
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.
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.
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?
Sorting Numbers
Age 5 to 7 Challenge Level:
Can you sort numbers into sets? Can you give each set a name?
Shedding Some Light
Age 7 to 11 Challenge Level:
Make an estimate of how many light fittings you can see. Was your estimate a good one? How can you decide?
Counter Ideas
Age 7 to 11 Challenge Level:
Here are some ideas to try in the classroom for using counters to investigate number patterns.
Hundred Square
Age 5 to 7 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?
Unlocking the Case
Age 7 to 11 Challenge Level:
A case is found with a combination lock. There is one clue about the number needed to open the case. Can you find the number and open the case?
Swimming Pool Tiles
Age 7 to 11 Challenge Level:
This activity creates an opportunity to explore all kinds of number-related patterns.
Can You Find a Perfect Number?
Age 7 to 14
Can you find any perfect numbers? Read this article to find out more...
Transformation Tease
Age 7 to 11 Challenge Level:
What are the coordinates of this shape after it has been transformed in the ways described? Compare these with the original coordinates. What do you notice about the numbers?
Investigating Pascal's Triangle
Age 7 to 14 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.
Pattern Power
Age 5 to 14
Mathematics is the study of patterns. Studying pattern is an opportunity to observe, hypothesise, experiment, discover and create.
One Basket or Group Photo
Age 7 to 18 Challenge Level:
Libby Jared helped to set up NRICH and this is one of her favourite problems. It's a problem suitable for a wide age range and best tackled practically.
NRICH is part of the family of activities in the Millennium Mathematics Project.