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
Even and odd
Age
5 to 7
Challenge level
This activity is best done with a whole class or in a large group. Can you match the cards? What happens when you add pairs of the numbers together?
problem
I like ...
Age
5 to 7
Challenge level
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
problem
Two numbers under the microscope
Age
5 to 7
Challenge level
This investigates one particular property of number by looking closely at an example of adding two odd numbers together.
problem
Halving
Age
5 to 7
Challenge level
These pictures show squares split into halves. Can you find other ways?
problem
Ring a ring of numbers
Age
5 to 7
Challenge level
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
problem
Numbers as shapes
Age
5 to 7
Challenge level
Use cubes to continue making the numbers from 7 to 20. Are they sticks, rectangles or squares?
problem
A bag of marbles
Age
5 to 7
Challenge level
Use the information to describe these marbles. What colours must be
on marbles that sparkle when rolling but are dark inside?
problem
How odd
Age
5 to 7
Challenge level
This problem challenges you to find out how many odd numbers there are between pairs of numbers. Can you find a pair of numbers that has four odds between them?
problem
In the playground
Age
5 to 11
Challenge level
What can you say about the child who will be first on the playground tomorrow morning at breaktime in your school?
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?
problem
Odd times even
Age
5 to 7
Challenge level
This problem looks at how one example of your choice can show something about the general structure of multiplication.