In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
Use the interactivity to create some steady rhythms. How could you create a rhythm which sounds the same forwards as it does backwards?
Starting with the number 180, take away 9 again and again, joining up the dots as you go. Watch out - don't join all the dots!
A generic circular pegboard resource.
Our 2008 Advent Calendar has a 'Making Maths' activity for every day in the run-up to Christmas.
What are the coordinates of the coloured dots that mark out the tangram? Try changing the position of the origin. What happens to the coordinates now?
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
A card pairing game involving knowledge of simple ratio.
Ahmed has some wooden planks to use for three sides of a rabbit run against the shed. What quadrilaterals would he be able to make with the planks of different lengths?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Can you complete this jigsaw of the multiplication square?
A game for 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!
Choose a symbol to put into the number sentence.
An interactive game for 1 person. You are given a rectangle with 50 squares on it. Roll the dice to get a percentage between 2 and 100. How many squares is this? Keep going until you get 100. . . .
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Hover your mouse over the counters to see which ones will be removed. Click to remover them. The winner is the last one to remove a counter. How you can make sure you win?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Explore the different tunes you can make with these five gourds. What are the similarities and differences between the two tunes you are given?
Work out the fractions to match the cards with the same amount of money.
An interactive game to be played on your own or with friends. Imagine you are having a party. Each person takes it in turns to stand behind the chair where they will get the most chocolate.
A train building game for 2 players.
Train game for an adult and child. Who will be the first to make the train?
A game for 2 people that can be played on line or with pens and paper. Combine your knowledege of coordinates with your skills of strategic thinking.
Use the interactivities to complete these Venn diagrams.
If you have only four weights, where could you place them in order to balance this equaliser?
An interactive activity for one to experiment with a tricky tessellation
Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?
NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
How many times in twelve hours do the hands of a clock form a right angle? Use the interactivity to check your answers.
What is the greatest number of squares you can make by overlapping three squares?
A tetromino is made up of four squares joined edge to edge. Can this tetromino, together with 15 copies of itself, be used to cover an eight by eight chessboard?
Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?
Exchange the positions of the two sets of counters in the least possible number of moves
A game to be played against the computer, or in groups. Pick a 7-digit number. A random digit is generated. What must you subract to remove the digit from your number? the first to zero wins.
Try this interactive strategy game for 2
A game for 1 person. Can you work out how the dice must be rolled from the start position to the finish? Play on line.
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
You have 4 red and 5 blue counters. How many ways can they be placed on a 3 by 3 grid so that all the rows columns and diagonals have an even number of red counters?
Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?
Can you fit the tangram pieces into the outline of Little Ming playing the board game?
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
Here is a chance to play a version of the classic Countdown Game.
Find out how we can describe the "symmetries" of this triangle and investigate some combinations of rotating and flipping it.
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
Can you fit the tangram pieces into the outline of these convex shapes?