In each of these games, you will need a little bit of luck and your knowledge of place value to develop a winning strategy.

Can you select the missing digit(s) to find the largest multiple?

Can you match pairs of fractions, decimals and percentages, and beat your previous scores?

Can you arrange the digits 1, 1, 2, 2, 3 and 3 to make a Number Sandwich?

A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.

I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

Place the 16 different combinations of cup/saucer in this 4 by 4 arrangement so that no row or column contains more than one cup or saucer of the same colour.

How many solutions can you find to this sum? Each of the different letters stands for a different number.

Gabriel multiplied together some numbers and then erased them. Can you figure out where each number was?

A cinema has 100 seats. How can ticket sales make £100 for these different combinations of ticket prices?

How many different symmetrical shapes can you make by shading triangles or squares?

My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?

Find the frequency distribution for ordinary English, and use it to help you crack the code.

Using your knowledge of the properties of numbers, can you fill all the squares on the board?

A jigsaw where pieces only go together if the fractions are equivalent.

Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?

Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?

Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...

Can you deduce which Olympic athletics events are represented by the graphs?

Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...

Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?

Can you find rectangles where the value of the area is the same as the value of the perimeter?

These Olympic quantities have been jumbled up! Can you put them back together again?

Each clue in this Sudoku is the product of the two numbers in adjacent cells.

Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?

There are lots of different methods to find out what the shapes are worth - how many can you find?

Can you crack these cryptarithms?

By selecting digits for an addition grid, what targets can you make?

How many moves does it take to swap over some red and blue frogs? Do you have a method?

What happens when you add a three digit number to its reverse?

A colourful cube is made from little red and yellow cubes. But can you work out how many of each?

In how many ways can you fit all three pieces together to make shapes with line symmetry?

How many questions do you need to identify my quadrilateral?

Caroline and James pick sets of five numbers. Charlie tries to find three that add together to make a multiple of three. Can they stop him?

Can you solve the clues to find out who's who on the friendship graph?

A monkey with peaches, keeps a fraction of them each day, gives the rest away, and then eats one. How long can his peaches last?

A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle contains 20 squares. What size rectangle(s) contain(s) exactly 100 squares? Can you find them all?

The clues for this Sudoku are the product of the numbers in adjacent squares.

Charlie and Abi put a counter on 42. They wondered if they could visit all the other numbers on their 1-100 board, moving the counter using just these two operations: x2 and -5. What do you think?

Can you describe this route to infinity? Where will the arrows take you next?

Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

Using some or all of the operations of addition, subtraction, multiplication and division and using the digits 3, 3, 8 and 8 each once and only once make an expression equal to 24.

Is there a temperature at which Celsius and Fahrenheit readings are the same?

Can you recreate squares and rhombuses if you are only given a side or a diagonal?

In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?

Four friends must cross a bridge. How can they all cross it in just 17 minutes?

How many winning lines can you make in a three-dimensional version of noughts and crosses?

Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?

The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.

Can you find ways to put numbers in the overlaps so the rings have equal totals?

Play around with the Fibonacci sequence and discover some surprising results!

If you can copy a network without lifting your pen off the paper and without drawing any line twice, then it is traversable. Decide which of these diagrams are traversable.

Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?

Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.

Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?