Here are some challenges that you can work on and then see if you can convince someone that your solutions are right! Have a go!
problem
Favourite
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?
problem
Favourite
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?
list
More of Convince Me
problem
Favourite
Fifteen cards
Age
7 to 11
Challenge level
Can you use the information to find out which cards I have used?
problem
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?
problem
Favourite
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?
problem
Favourite
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?
problem
Favourite
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?
problem
Favourite
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?
problem
Favourite
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!
problem
Favourite
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?
problem
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?