What patterns do you notice in this table?
Continue the patterns to fill the empty squares.
Write a list describing all the patterns that you see.
What do you notice about the numbers on squares of the same colour?
Would the patterns […]
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.
How quickly can you find me?
The product of my digits is 225.
I am not a multiple of 5.
Am I a multiple of 13?
Am I real? Am I rational? Am I irrational?
Now divide me by 11. Is the answer real? […]
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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Explore the pattern you get when you carry on these multiplications up to 37 × 54.
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How many other cuboids with whole number dimensions have the same volume?
Do any of them have the same surface area?
Which has the biggest surface area? Which has the smallest?
How many have a square cross section?
How many rectangles can you make with perimeter 12 units?
What do you know about rectangles? What is the smallest rectangle that you can […]
What do you notice?
To explain how the patterns of numbers arise:
Either multiply by (10 – 1) instead of multiplying by 9
or use the table below, first completing the calculations on each line.
You might like to start by investigating the patterns you get when you shade multiples of a number on a grid. Download here
For another investigation use a 100 square grid (download here):
Circle the number 2. Put a line through every multiple of 2 up to 100.
Circle the […]
Describe and explain this pattern.
Download this sheet and shade in the patterns of the multiples.
Why do you think that in each pattern […]