How many ways can you arrange the digits 2, 2, 2 and 0 to get different numbers? What is the sum of those numbers?
You can be a creative mathematician, you can be someone who has your own mathematical ideas. Find your own interesting facts about […]
between the two 1s there is one digit giving 1?1,
between the two 2s there are two digits giving 2??2,
between the two 3s there are three digits giving 3???3.
What patterns do you see in them?
Suppose you have to share 9872 gold coins between 8 people.
You give the coins out in thousands until there are less than 8000 left.
Then you give out one hundred at a time until there are less than 800, then […]
Do your own experiments using number cards to play the games and pick 2 cards at random each time.
In Game A an envelope or bag contains balls, or cards, numbered 2, 3, 4, 5 and 6. Pick out two balls or cards at random. If the total is even you win. […]
He labelled each bag with the number of coins inside it.
He could then pay any sum of money from 1 coin to 15 coins using one or more of the bags without opening any of the bags.
Download the pieces of the puzzle here and cut out the 16 small triangles.
Arrange the 16 pieces into a larger triangle so that the numbers on matching edges are the same, for example .
Click here to download the POWER MATCHING worksheet.
Click here for Notes for […]
You might like to start by investigating the patterns you get when you shade multiples of a number on a grid. Download here
For the prime sieve investigation use a 100 square grid (download here):
Circle the number 2. Put a line through every multiple of 2 up to 100.
Can you find the chosen number from this square using the clues below?
1. The number is odd.
2. It is a multiple of three.
3. It is smaller than 7 x 4.
4. It has an even tens digit.
5. It is the greater of the two possibilities.
A staircase has 12 steps. You can go down the steps one at a time or two at time.
You could go down 1 step, then 1 step, then 2 steps, then 2, 2, 1, 1, 1, 1 as in the picture.
In how many different ways […]
Another TARGET game for any number of players. You want to win? So THINK MATHEMATICALLY and ESTIMATE the likely answers. When you multiply H hundreds by T tens what do you want the product of the digits H×T to be? A bit less than 10 perhaps?
You will need a set of 10 cards […]