You may also like

problem icon

Prompt Cards

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

problem icon

Consecutive Numbers

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

problem icon

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

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

This one took a lot of patience - well done!

This well explained solution comes from Gemma who goes to Foxford School and Community College, Coventry.

Remember: the jugs hold $9$, $7$, $4$ and $2$ litres, and you can't guess any amounts.

9 0 0 0
From the $9$ litre bottle take $4$ litres to $4$ litre bottle.
5 0 4 0
$4$ litres from $4$ litre bottle to $7$ litre bottle.
5 4 0 0
Take $4$ litres from the $9$ litre bottle to the $4$ litre bottle.
1 4 4 0
$3$ litres from the $4$ litre bottle to $7$ litre bottle.
1 7 1 0
$2$ litres from $7$ litre bottle to $2$ litre bottle.
1 5 1 2
$2$ litres from the $2$ litre bottle to $9$ litre bottle.
3 5 1 0
$2$ litres from $7$ litre bottle to $2$ litre bottle.
3 3 1 2
$2$ litres from $2$ litre bottle into $4$ litre bottle.
3 3 3 0

Syed also from Foxford School and Community College, Coventry has found a different solution, and presented it in a table.

Amount of drink in the jug (litres) The Pour
$9$ - litre jug $7$ - litre jug $4$ - litre jug $2$ - litre jug
Full Empty Empty Empty Start
$2$ litres Full Empty Empty $9$ - litre jug to $7$ - litre jug
Empty Full $2$ litres Empty $9$ - litre jug to $4$ - litre jug
Empty $5$ litres $2$ litres Full $7$ - litre jug to $2$ - litre jug
Empty $3$ litres Full Full $7$ - litre jug to $4$ - litre jug
$4$ litres $3$ litres Empty Full $4$ - litre jug to $9$ - litre jug
$6$ litres $3$ litres Empty Empty $2$ - litre jug to $9$ - litre jug
$6$ litres $1$ litre Empty Full $7$ - litre jug to $2$ - litre jug
$6$ litres Empty $1$ litre Full $7$ - litre jug to $4$ - litre jug
$6$ litres $2$ litres $1$ litre Empty $2$ - litre jug to $7$ - litre jug
$1$ litre Full $1$ litre Empty $9$ - litre jug to $7$ - litre jug
$1$ litre $5$ litres $1$ litre Full $7$ - litre jug to $2$ - litre jug
$3$ litres $5$ litres $1$ litre Empty $2$ - litre jug to $9$ - litre jug
$3$ litres $3$ litres $1$ litre Full $7$ - litre jug to $2$ - litre jug
$3$ litres $3$ litres $3$ litres Empty $2$ - litre jug to $4$ - litre jug

Here's a third solution from Thomas at Tattingstone Primary, UK.

9 0 0 0
 
2 7 0 0
 
2 5 0 2
 
4 5 0 0
 
4 3 0 2
 
6 3 0 0
 
6 1 0 2
 
8 1 0 0
 
8 0 1 0
 
1 7 1 0
 
1 5 1 2
 
3 5 1 0
 
3 3 1 2
 
3 3 3 0