These two group activities use mathematical reasoning - one is
numerical, one geometric.
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.
a) There are four jugs.
The largest holds exactly $9$ litres of drink, and is filled to
The $7$ litre, $4$ litre and $2$ litre jugs are empty.
Find a way to pour the drink from one jug to another until you
are left with exactly $3$ litres in three of the jugs.
b) You have three jugs one of which is full and holds $8$
The capacity of other jugs is not known. But, it is known that
when using them every whole number quantity from $1$ litre to $8$
litres can be accurately measured out.
What could be the capacities of the $2$ other jugs?
How would you measure all the whole number quantities from $1$
to $8$ litres?