These counting games lead to an understanding of multiples and common multiples, number patterns and the Seive of Eratosthenes to find prime numbers.
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On the 100 square grid (download here):
Circle the number 2. Put a line through every multiple of 2 up to 100.
Circle the number 3. Put a line through every multiple of 3 up to 100.
Circle the number 5. Put a line through every multiple of 5 up to […]
Describe and explain this pattern.
Download this sheet and shade in the patterns of the multiples.
Why do you think that in each pattern […]
Choose a colour. Put a line through 4,6,8,10 … on the 100 square grid. Carry on until you get to 100 crossing out the rest of the two times table. You do not cross through the first number in the table but it may already be crossed out.
Change colour. Put […]
The first player chooses a positive even number that is less than 50, and crosses it out on the 100 square grid.
The second player chooses a number to cross out. The number must be a factor or multiple of the previous number.
When you turn this star around it looks exactly the same in 5 different positions so we say it has ROTATIONAL SYMMETRY of order 5.
Is it possible to draw a 6-pointed star in the same way […]
Multiply any two consecutive even numbers together. Why is the product always a multiple of eight?
Take any prime number greater than 3, square it, subtract one and divide by 24.
Make a […]
What can you say about numbers that have exactly 2 factors?
What can you say about numbers that have exactly 3 factors?
Give some examples of numbers with 4 factors. What do they have in common?
Give some examples of numbers with 5 factors. What do they have in common?
What about numbers […]