Arrange the numbers 1 to 6 in each set of circles below. The sum of each side of the triangle should equal the number in its centre.
Pat counts her sweets in different groups and both times she has
some left over. How many sweets could she have had?
I am less than 25. My ones digit is twice my tens digit. My digits add up to an even number.
This fun problem was about odd and even numbers; it also involved some counting, which is always a good thing! From this specific problem, some general rules began to emerge. This is very useful as these rules can be applied to other problems.
Matthew and Hannah from Stambridge submitted a lovely and clear solution:
Class 4SK from Devonshire also submitted a good solution:
They also explained why this is the case:
Well done too to children from St Andrews CE Primary School in Oxford whose solution was very similar to Class 4SK's.
Thank you and well done to all those who submitted solutions! If you enjoyed this, why not try the following problem?
If you are only allowed to use $1$s, $3$s and $5$s (but as many of each as you like), can you find all the ways to make $12$ using four numbers? Can you find all the ways to make $13$ using four numbers?