A game in which players take it in turns to choose a number. Can you block your opponent?
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 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?
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
The idea of this game is to add or subtract the two numbers on the dice and cover the result on the grid, trying to get a line of three. Are there some numbers that are good to aim for?
A card pairing game involving knowledge of simple ratio.
Can you complete this jigsaw of the multiplication square?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
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?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
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?
Work out the fractions to match the cards with the same amount of
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
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?
Use the interactivities to complete these Venn diagrams.
Can you fit the tangram pieces into the outline of Little Ming?
Can you find a relationship between the number of dots on the
circle and the number of steps that will ensure that all points are
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
If you have only four weights, where could you place them in order
to balance this equaliser?
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.
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. . . .
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
Investigate how logic gates work in circuits.
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.
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
An interactive activity for one to experiment with a tricky tessellation
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
A train building game for 2 players.
How good are you at estimating angles?
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!
Use the interactivity to create some steady rhythms. How could you
create a rhythm which sounds the same forwards as it does
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?
A generic circular pegboard resource.
Choose a symbol to put into the number sentence.
Train game for an adult and child. Who will be the first to make the train?
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
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?
What can you say about the values of n that make $7^n + 3^n$ a multiple of 10? Are there other pairs of integers between 1 and 10 which have similar properties?
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?
What shape is the overlap when you slide one of these shapes half way across another? Can you picture it in your head? Use the interactivity to check your visualisation.
Is this a fair game? How many ways are there of creating a fair game by adding odd and even numbers?
How many times in twelve hours do the hands of a clock form a right
angle? Use the interactivity to check your answers.
A game for two or more players that uses a knowledge of measuring
tools. Spin the spinner and identify which jobs can be done with
the measuring tool shown.
Exchange the positions of the two sets of counters in the least possible number of moves
Find the frequency distribution for ordinary English, and use it to help you crack the code.
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?
Square It game for an adult and child. Can you come up with a way of always winning this game?