Place value

problem
Song book

Age

7 to 11

Challenge level

A school song book contains 700 songs. The numbers of the songs are displayed by combining special small single-digit cards. What is the minimum number of small cards that is needed?
problem
Dicey addition

Age

5 to 11

Challenge level

In these addition games, you'll need to think strategically to get closest to the target.
problem
Clickety click

Age

16 to 18

Challenge level

What is the sum of: 6 + 66 + 666 + 6666 ............+ 666666666...6 where there are n sixes in the last term?
problem
Double with 1 to 9

Age

11 to 14

Challenge level

Can you find a number and its double using the digits $1$ to $9$ only once each?
problem
Light the lights

Age

5 to 7

Challenge level

Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
problem
Our numbers

Age

5 to 7

Challenge level

These spinners will give you the tens and unit digits of a number. Can you choose sets of numbers to collect so that you spin six numbers belonging to your sets in as few spins as possible?
problem
Halfway

Age

11 to 14

Challenge level

Can you find a number that is halfway between two fractions?
problem
Kangaroo subtraction

Age

11 to 14

Challenge level

Can you solve this 'KANGAROO' alphanumeric subtraction?
problem
Nice or nasty

Age

7 to 11

Challenge level

There are nasty versions of this dice game but we'll start with the nice ones...
problem
Coded hundred square

Age

7 to 11

Challenge level

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?