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Explore the pattern you get when you carry on these multiplications up to 37 × 54.
Inspired by Jain www.jainmathemagics.com
What patterns do you see in them?
Suppose you have to share 9872 gold coins between 8 people.
You split them into 4 piles. Then you share each of the piles between the 8 people
You give each person 1000 + 200 + 30 + 4 coins.
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.
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 […]
Work out the number of edge squares and the number of lines (matchsticks) needed to make the pattern with: side length 6 side length 25 side length 100 side length n.
Click here […]
You can choose numbers from the bags and add them to make different totals. You don’t have to use numbers from every bag, and there will always be as many of each number as you need.
Choose some […]
How many lines are there in your diagrams? How many lines are there in the original diagram? Can you find a way of working out […]