Beads and Bags
Age 5 to 11
Challenge Level
How could you put these three beads into bags? How many different ways can you do it? How could you record what you've done?
Four-digit Targets
Age 7 to 11
Challenge Level
You have two sets of the digits 0-9. Can you arrange these in the five boxes to make four-digit numbers as close to the target numbers as possible?
Fifteen Cards
Age 7 to 11
Challenge Level
Can you use the information to find out which cards I have used?
Cuisenaire Spirals
Age 7 to 11
Challenge Level
Can you make arrange Cuisenaire rods so that they make a 'spiral' with right angles at the corners?
Money Bags
Age 5 to 11
Challenge Level
Ram divided 15 pennies among four small bags. He could then pay any sum of money from 1p to 15p without opening any bag. How many pennies did Ram put in each bag?
Sealed Solution
Age 7 to 11
Challenge Level
Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?
Stringy Quads
Age 7 to 11
Challenge Level
This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!
Factor-multiple Chains
Age 7 to 11
Challenge Level
Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?
Magic Vs
Age 7 to 11
Challenge Level
Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?
A Bit of a Dicey Problem
Age 7 to 11
Challenge Level
When you throw two regular, six-faced dice you have more chance of getting one particular result than any other. What result would that be? Why is this?
Chocolate
Age 7 to 14
Challenge Level
There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?
NRICH is part of the family of activities in the Millennium Mathematics Project.