KS2 Roadshow

Can you work out how to win this game of Nim? Does it matter if you go first or second?

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?

These are the faces of Will, Lil, Bill, Phil and Jill. Use the clues to work out which name goes with each face.

Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

Can you put these times on the clocks in order? You might like to arrange them in a circle.

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

Follow the clues to find the mystery number.

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.

There are thirty six teddies in Teddy Town - six red, six blue, six yellow, six green, six purple and six turquoise. There are also thirty six houses, six of each colour. Can you put them on the map of Teddy Town according to the rules?

Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick ten numbers from the bags so that their total is 37?

Can you make five differently sized squares from the interactive tangram pieces?

There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?

Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.

Arrange 3 red, 3 blue and 3 yellow counters into a three-by-three square grid, so that there is only one of each colour in every row and every column

Jack has nine tiles. He put them together to make a square so that two tiles of the same colour were not beside each other. Can you find another way to do it?

Kate has eight multilink cubes. She has two red ones, two yellow, two green and two blue. She wants to fit them together to make a cube so that each colour shows on each face just once.

There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?

There are sixteen teddies in Teddy Town - four red, four blue, four yellow and four green. There are also sixteen houses, four of each colour. Can you put them on the map of Teddy Town according to the rules?

There are twenty five teddies in Teddy Town - five red, five blue, five yellow, five green and five purple. There are also twenty five houses, five of each colour. Can you put them on the map of Teddy Town according to the rules?

Use these four dominoes to make a square that has the same number of dots on each side.

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

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 make the birds from the egg tangram?

These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?

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?

Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.

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

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

In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?

The Number Jumbler can always work out your chosen symbol. Can you work out how?

In this game, you turn over two cards and try to draw a triangle which has both properties.

Use your knowledge of place value to try to win this game. How will you maximise your score?

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

How much can you read into a T-shirt?

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

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?

This was a problem for our birthday website. Can you use four of these pieces to form a square? How about making a square with all five pieces?

How could you put eight bean bags in the hoops so that there are four in the blue hoop, five in the red and six in the yellow? Can you find all the ways of doing this?

Use the 'double-3 down' dominoes to make a square so that each side has eight dots.

Factor track is not a race but a game of skill. The idea is to go round the track in as few moves as possible, keeping to the rules.

Take three consecutive numbers and add them together. What do you notice?

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

Place the numbers 1, 2, 3,..., 9 one on each square of a 3 by 3 grid so that all the rows and columns add up to a prime number. How many different solutions can you find?

Three dice are placed in a row. Find a way to turn each one so that the three numbers on top of the dice total the same as the three numbers on the front of the dice. Can you find all the ways to do this?

Arrange 9 red cubes, 9 blue cubes and 9 yellow cubes into a large 3 by 3 cube. No row or column of cubes must contain two cubes of the same colour.

Can you fill in this table square? The numbers 2-12 were used to generate it with just one number used twice.

Can you put the 25 coloured tiles into the 5 × 5 square so that no column, no row and no diagonal line have tiles of the same colour in them?

Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.

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.

Penta people, the Pentominoes, always build their houses from five square rooms. I wonder how many different Penta homes you can create?

Using the 8 dominoes, can you make a square where each of the columns and rows adds up to 8?

Use the clues to find out who's who in the family, to fill in the family tree and to find out which of the family members are mathematicians and which are not.

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