Currently viewing the tag: "Number patterns"
Imagine this pattern of squares continuing on and on …
How do you find the coordinates of the centre of square 1 if you know that (0, 3), (3, 4), (4, 1) and (1, 0) are vertices?
What are the coordinates of the centre of the 20th square?
Imagine the sequence of […]
Ask a friend to hide a 5c coin in one hand and a 10c coin in the other without showing you which coin is in which hand. Then say to your friend:
“Multiply the amount of money in your left hand by 2 or 4 (whichever you like) and the amount of money in […]
Choose your number to start and shade it on the grid.
To go to another number you can either MULTIPLY BY 2 or SUBTRACT 5.
So if you start on 12, you can either shade 12 x 2 = 24 or 12 – 5 = 7
Choose any shaded number and carry on until […]
Click here to download the COUNTING TRIANGLES worksheet.
Click here for the Notes for Teachers.
Click here to download the COUNTING TRIANGLES poster
Start with the set of the twenty-one numbers 0 – 20.
Can you arrange these numbers into 7 subsets, each of three numbers, so that the totals of the three numbers in each subset make seven consecutive numbers?
For example, one subset adding up to 27 might be {0, 13, 14}. […]
Follow some numbers and see where they go.
The simple rule is: choose a number, add the digits together then multiply by 2 and then do the same again.
Suppose you start with 56 then you get 5+6 = 11 and 11 x 2 =22 so the next number is 22. Carry on and you […]
There are six numbers written in five different scripts.
Can you sort out which is which?
Write 51 in each script.
Click here for Notes for Teachers.
This activity was initially developed by SMILE (Secondary Mathematics Individualised Learning Experiment) by practising teachers in London in the 1970’s as one of a series of […]
In his grid, how many pairs of numbers can you find that add up to a multiple of 11?
Do you notice anything interesting?
Can you see a connection with the 11-hour clock?
Can you find all the pairs?
Could you convince someone that you haven’t […]
Suppose you had the never ending task of writing out all the natural numbers: 1, 2, 3, 4, 5…. and so on.
What would be the 1000th digit you would write down?
In what number would it occur?
What number would contain the millionth digit?
When would you have written six for […]
Think of a whole number. Square it. Subtract the number you first thought of. Is the answer odd or even?
Try this with other numbers. What do you notice? Can you explain why? Can you find different ways to explain (and prove) the result that you noticed. You might use what you […]
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