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Use the interactivities to fill in these Carroll diagrams. How do you know where to place the 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.
Are these statements always true, sometimes true or never true?
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?
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you find the smallest number that lights up all four lights?
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
Here is a chance to play a version of the classic Countdown Game.
Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
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?
Use your mouse to move the red and green parts of this disc. Can you make images which show the turnings described?
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
Can you complete this jigsaw of the multiplication square?
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.
A game in which players take it in turns to choose a number. Can you block your opponent?
What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?
Sort the houses in my street into different groups. Can you do it in any other ways?
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
Use the interactivity to move Pat. Can you reproduce the graphs and tell their story?
Can you work out how to make each side of this balance equally balanced? You can put more than one weight on a hook.
An environment which simulates working with Cuisenaire rods.
How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
How many different triangles can you make on a circular pegboard that has nine pegs?
Can you find all the different triangles on these peg boards, and find their angles?
Here are some rods that are different colours. How could I make a yellow rod using white and red rods?
Use these head, body and leg pieces to make Robot Monsters which are different heights.
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
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.
Practise your tables skills and try to beat your previous best score in this interactive game.
Can you match pairs of fractions, decimals and percentages, and beat your previous scores?
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Arrange the numbers 1 to 6 in each set of circles below. The sum of each side of the triangle should equal the number in its centre.
What is the greatest number of squares you can make by overlapping three squares?
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?
A game for 2 players that can be played online. Players take it in turns to select a word from the 9 words given. The aim is to select all the occurrences of the same letter.
This problem is based on a code using two different prime numbers less than 10. You'll need to multiply them together and shift the alphabet forwards by the result. Can you decipher the code?
Can you put the 25 coloured tiles into the 5 x 5 square so that no column, no row and no diagonal line have tiles of the same colour in them?
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
Move just three of the circles so that the triangle faces in the opposite direction.
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
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?