**"Integers"**

## Multiplication Squares

*By toni On 1 December, 2014 · 5 Comments*

In the first square the boxes at the end of each row and the foot of each column give the result of multiplying the two numbers in that row or column.

Can you find 4 consecutive numbers to complete the second multiplication square in the same way?

Make up puzzles for your […]

## Minimising Output

*By toni On 13 January, 2014 · Leave a Comment*

The smallest number that can be divided exactly by 2, 3 and 4 is 12.

What is the smallest number that can be divided exactly by the numbers 2, 3, 4, 5 and 6?

What is the smallest number that can be divided exactly by the numbers 2, 3, 4, 5, 6, 7, 8 […]

## Years 8 -12 Which Hand?

*By toni On 18 March, 2013 · 5 Comments*

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 […]

## Where can we visit?

*By toni On 29 January, 2013 · 6 Comments*

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 […]

## One to Eight

*By toni On 3 February, 2012 · 4 Comments*

Which of the following products are close to 1368:

20 x 40 20 x 50 20 x 70

40 x 50 40 x 70 or 50 x 70?

In these three multiplication sums, using the digits 1 to 8 once and only […]

## Funny Factorisation

*By toni On 3 February, 2012 · 5 Comments*

(1) Some 4 digit numbers can be written as the product of a 3 digit number and a 2 digit number using the digits 1 to 9 each once and only once.

Can you use the digits 1 to 9 once, but only once, to replace the stars and complete the multiplication * *9 […]

## Curious Number

*By toni On 18 January, 2012 · 2 Comments*

Can you use the digits 1, 2, 3, 4, 5 and 6, each only once, to make a number which is divisible by 6

… so that when the final or last digit is removed it becomes a 5-digit number divisible by 5, and when the last digit is removed from that number […]

## Follow The Numbers

*By toni On 18 January, 2012 · Leave a Comment*

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 […]

## Which Scripts

*By toni On 18 January, 2012 · Leave a Comment*

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 […]

## Balance Power

*By toni On 18 January, 2012 · Leave a Comment*

You can weigh all integer masses from 1 to 60 with 6 weights putting the weights in one pan and the object in the other pan. Which weights are used?

What about weighing all integer masses from 1 to 1000?

What about from 1 to n?

What could this have to do with the […]

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