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Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?
Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...
The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.
Who said that adding, subtracting, multiplying and dividing couldn't be fun?
Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
Each clue in this Sudoku is the product of the two numbers in adjacent cells.
Can you find rectangles where the value of the area is the same as the value of the perimeter?
Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?
In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?
These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?
Is there a temperature at which Celsius and Fahrenheit readings are the same?
Can you describe this route to infinity? Where will the arrows take you next?
A game in which players take it in turns to choose a number. Can you block your opponent?
A jigsaw where pieces only go together if the fractions are equivalent.
Using your knowledge of the properties of numbers, can you fill all the squares on the board?
Take ten sticks in heaps any way you like. Make a new heap using one from each of the heaps. By repeating that process could the arrangement 7 - 1 - 1 - 1 ever turn up, except by starting with it?
Find the frequency distribution for ordinary English, and use it to help you crack the code.
The clues for this Sudoku are the product of the numbers in adjacent squares.
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?
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?
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 find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?
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?
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?
Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick any ten numbers from the bags so that their total is 37?
How many different symmetrical shapes can you make by shading triangles or squares?
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?
A cinema has 100 seats. Show how it is possible to sell exactly 100 tickets and take exactly £100 if the prices are £10 for adults, 50p for pensioners and 10p for children.
In how many ways can you fit all three pieces together to make shapes with line symmetry?
I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?
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.
Can you match pairs of fractions, decimals and percentages, and beat your previous scores?
How many moves does it take to swap over some red and blue frogs? Do you have a method?
Can you work out how to win this game of Nim? Does it matter if you go first or second?
Here are four cubes joined together. How many other arrangements of four cubes can you find? Can you draw them on dotty paper?
Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
There are lots of different methods to find out what the shapes are worth - how many can you find?
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?
How many winning lines can you make in a three-dimensional version of noughts and crosses?
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...
How many solutions can you find to this sum? Each of the different letters stands for a different number.
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?
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?
Use these four dominoes to make a square that has the same number of dots on each side.
Use the 'double-3 down' dominoes to make a square so that each side has eight dots.
Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?
Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?