EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.
Find a great variety of ways of asking questions which make 8.
If you had any number of ordinary dice, what are the possible ways
of making their totals 6? What would the product of the dice be
Thanks to all of you who sent in a solution.
We can't show them all here, but here are a few examples of
different ways that you approached the problem.
Lizzie from Belmont Primary noticed that the
sequences of numbers increased by the same number each time, and
used this to work out her answers.
Roberta explains her thinking very
You times the two numbers together to find the number of blue
circles and then you take away one from each of the numbers and
times them together to find the number of red circles.
Andrew, Shatin College, Hong Kong explains his
solution with more examples:
In this puzzle, 2 by 2 results in 5 and 4 by 4 would result in
25 (16 + 9).
You can work this out by multiplying the two numbers together
and then you get part of the answer. The other half can be worked
out by taking 1 from each of the two numbers and then multiplying
them together. Then add the two numbers and you get the answer.
2 by 10 would have 29 (2 times 10 add 1 times 9), 3 by 10 would
be 48 since 3 times 10 add 2 times 9, 10 by 10 would be 181 (10
squared add 9 squared).
If you use this formula you can work out anything. For Example:
100 by 100. 100 squared is 10000. then 90 squared is 8100 add it
together and you get the answer 18100.
Quite a few of you used algebra to explain
your thinking. Here is the solution from Michael of St Joseph's RC