problem
Counting factors
Age
11 to 14
Challenge level
Is there an efficient way to work out how many factors a large number has?
problem
Differences
Age
11 to 14
Challenge level
Can you guarantee that, for any three numbers you choose, the product of their differences will always be an even number?
problem
How much can we spend?
Age
11 to 14
Challenge level
A country has decided to have just two different coins, 3z and 5z
coins. Which totals can be made? Is there a largest total that
cannot be made? How do you know?
problem
Power mad!
Age
11 to 14
Challenge level
Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.
list
All secondary factors and multiples
Age
11 to 16
Challenge level
Here is a list of all the secondary problems connected with Factors and Multiples