problem
Are you well Balanced?
Age
5 to 7
Challenge level
Can you work out how to make each side of this balance equally balanced? You can put more than one weight on a hook.
problem
Growing Garlic
Age
5 to 11
Challenge level
Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?
problem
Inside Triangles
Age
5 to 7
Challenge level
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
problem
Half Time
Age
5 to 11
Challenge level
What could the half time scores have been in these Olympic hockey matches?
problem
Unit Differences
Age
5 to 7
Challenge level
This challenge is about finding the difference between numbers which have the same tens digit.
problem
Tables Teaser
Age
5 to 7
Challenge level
How will you work out which numbers have been used to create this multiplication square?
problem
Let's Investigate Triangles
Age
5 to 7
Challenge level
Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?
problem
A City of Towers
Age
5 to 7
Challenge level
In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?
problem
Break it up!
Age
5 to 11
Challenge level
In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?
problem
Cuisenaire Counting
Age
5 to 7
Challenge level
Here are some rods that are different colours. How could I make a yellow rod using white and red rods?
problem
Three Ball Line Up
Age
5 to 7
Challenge level
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
problem
Triangle Animals
Age
5 to 7
Challenge level
How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?
problem
Jumping squares
Age
5 to 7
Challenge level
In this problem it is not the squares that jump, you do the jumping! The idea is to go round the track in as few jumps as possible.
problem
School fair necklaces
Age
5 to 11
Challenge level
How many possible symmetrical necklaces can you find? How do you know you've found them all?
problem
Five Coins
Age
5 to 11
Challenge level
Ben has five coins in his pocket. How much money might he have?
problem
6 Beads
Age
5 to 7
Challenge level
If you put three beads onto a tens/ones abacus you can make the numbers 3, 30, 12 or 21. What numbers can be made with six beads?
problem
Chain of Changes
Age
5 to 7
Challenge level
Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?
problem
The Puzzling Sweet Shop
Age
5 to 11
Challenge level
There were chews for 2p, mini eggs for 3p, Chocko bars for 5p and lollypops for 7p in the sweet shop. What could each of the children buy with their money?
problem
Birthday Cakes
Age
5 to 7
Challenge level
Jack's mum bought some candles to use on his birthday cakes and when his sister was born, she used them on her cakes too. Can you use the information to find out when Kate was born?
problem
Heads and Feet
Age
5 to 7
Challenge level
On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?
problem
Eggs in Baskets
Age
5 to 7
Challenge level
There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. How many eggs are in each basket?
problem
Lots of Lollies
Age
5 to 7
Challenge level
Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?