problem
Odd squares
Age
7 to 11
Challenge level
Think of a number, square it and subtract your starting number. Is the number you're left with odd or even? How do the images help to explain this?
problem
An easy way to multiply by 10?
Age
7 to 11
Challenge level
Do you agree with Badger's statements? Is Badger's reasoning 'watertight'? Why or why not?
problem
Three dice
Age
7 to 11
Challenge level
Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?
problem
Subtraction surprise
Age
7 to 14
Challenge level
Try out some calculations. Are you surprised by the results?
problem
Less is more
Age
7 to 11
Challenge level
Use your knowledge of place value to try to win this game. How will you maximise your score?
problem
Compare the calculations
Age
7 to 11
Challenge level
Can you put these four calculations into order of difficulty? How did you decide?
problem
Guess what?
Age
7 to 11
Challenge level
Can you find out which 3D shape your partner has chosen before they work out your shape?
problem
Reach 100
Age
7 to 11
Challenge level
Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.
problem
Route product
Age
7 to 11
Challenge level
Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?
problem
Six ten total
Age
7 to 11
Challenge level
This challenge combines addition, multiplication, perseverance and even proof.
problem
Six numbered cubes
Age
7 to 11
Challenge level
This task combines spatial awareness with addition and multiplication.
problem
Curious number
Age
7 to 11
Challenge level
Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?