Combinations

problem

Map Folding

Age

7 to 11

Challenge level

Take a rectangle of paper and fold it in half, and half again, to make four smaller rectangles. How many different ways can you fold it up?
problem

A Rod and a Pole

Age

7 to 11

Challenge level

A lady has a steel rod and a wooden pole and she knows the length of each. How can she measure out an 8 unit piece of pole?
problem

Add 3 Dice

Age

7 to 11

Challenge level

Three dice are placed in a row. Find a way to turn each one so that the three numbers on top of the dice total the same as the three numbers on the front of the dice. Can you find all the ways to do this?
problem

Plates of Biscuits

Age

7 to 11

Challenge level

Can you rearrange the biscuits on the plates so that the three biscuits on each plate are all different and there is no plate with two biscuits the same as two biscuits on another plate?
problem

Throw a 100

Age

7 to 11

Challenge level

Can you score 100 by throwing rings on this board? Is there more than way to do it?
problem

Magic Triangle

Age

7 to 11

Challenge level

Place the digits 1 to 9 into the circles so that each side of the triangle adds to the same total.
problem

Elf Suits

Age

7 to 11

Challenge level

If these elves wear a different outfit every day for as many days as possible, how many days can their fun last?
problem

Beads

Age

7 to 11

Challenge level

Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
problem

Chocoholics

Age

7 to 11

Challenge level

George and Jim want to buy a chocolate bar. George needs 2p more and Jim need 50p more to buy it. How much is the chocolate bar?
problem

Button-Up Some More

Age

7 to 11

Challenge level

How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?