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Prompt Cards

These two group activities use mathematical reasoning - one is numerical, one geometric.

Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

Exploring Wild & Wonderful Number Patterns

EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.

Pouring the Punch Drink

Age 7 to 11 Challenge Level:

a) There are four jugs.

The largest holds exactly $9$ litres of drink, and is filled to the top.

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 $8$ litres.

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?