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There are 97 NRICH Mathematical resources connected to Roadshow, you may find related items under Roadshow.
Broad Topics > Roadshow > RoadshowCan you recreate squares and rhombuses if you are only given a side or a diagonal?
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?
Have a go at creating these images based on circles. What do you notice about the areas of the different sections?
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?
Can you rearrange the cards to make a series of correct mathematical statements?
In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?
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.
How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?
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?
Choose four consecutive whole numbers. Multiply the first and last numbers together. Multiply the middle pair together. What do you notice?
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?
How many different symmetrical shapes can you make by shading triangles or squares?
Polygons drawn on square dotty paper have dots on their perimeter (p) and often internal (i) ones as well. Find a relationship between p, i and the area of the polygons.
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?
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?
Take any prime number greater than 3 , square it and subtract one. Working on the building blocks will help you to explain what is special about your results.
Many numbers can be expressed as the difference of two perfect squares. What do you notice about the numbers you CANNOT make?
In 15 years' time my age will be the square of my age 15 years ago. Can you work out my age, and when I had other special birthdays?
Which has the greatest area, a circle or a square, inscribed in an isosceles right angle triangle?
A 2-Digit number is squared. When this 2-digit number is reversed and squared, the difference between the squares is also a square. What is the 2-digit number?
In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?