Comparing and ordering numbers

problem
Fractions made faster

Age

7 to 11

Challenge level

Use the fraction wall to compare the size of these fractions - you'll be amazed how it helps!
problem
Move a match

Age

7 to 11

Challenge level

How can you arrange these 10 matches in four piles so that when you move one match from three of the piles into the fourth, you end up with the same arrangement?
problem
Pros and cons

Age

14 to 16

Challenge level

If p is a positive integer and q is a negative integer, which of these expressions is the greatest?
problem
Magical products

Age

11 to 14

Challenge level

Can you place the nine cards onto a 3x3 grid such that every row, column and diagonal has a product of 1?
problem
Rachel's problem

Age

14 to 16

Challenge level

Is it true that $99^n$ has 2n digits and $999^n$ has 3n digits? Investigate!
problem
17s and 23s

Age

11 to 14

Challenge level

Can you form this 2010-digit number...
problem
Buzzy bee

Age

5 to 7

Challenge level

Buzzy Bee was building a honeycomb. She decorated the honeycomb with a pattern using numbers. Can you discover Buzzy's pattern and fill in the empty cells for her?
problem
Fair exchange

Age

5 to 7

Challenge level

In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?
problem
Robot monsters

Age

5 to 7

Challenge level

Use these head, body and leg pieces to make Robot Monsters which are different heights.
problem
Number balance

Age

5 to 7

Challenge level

Can you hang weights in the right place to make the the number balance balanced?