In this feature, we have chosen some resources from the Open Spaces pathway on wild.maths.org.
Here are some starting points for mathematical investigation. What can you discover?
Here's how you can send your solutions to these problems.
Here are some starting points for mathematical investigation. What can you discover?
Here's how you can send your solutions to these problems.
problem
Street sequences
Age
5 to 11
Challenge level
Investigate what happens when you add house numbers along a street in different ways.
problem
Triangle shapes
Age
5 to 11
Challenge level
This practical problem challenges you to create shapes and patterns
with two different types of triangle. You could even try
overlapping them.
problem
Plants
Age
5 to 14
Challenge level
Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?
problem
Train carriages
Age
5 to 11
Challenge level
Suppose there is a train with 24 carriages which are going to be put together to make up some new trains. Can you find all the ways that this can be done?
problem
Consecutive numbers
Age
7 to 14
Challenge level
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
problem
Sweets in a box
Age
7 to 11
Challenge level
How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?
problem
Tiling
Age
7 to 11
Challenge level
An investigation that gives you the opportunity to make and justify predictions.
problem
Follow the numbers
Age
7 to 11
Challenge level
What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? You could try for different numbers and different rules.