Here is a chance to play a version of the classic Countdown Game.
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Mr McGregor has a magic potting shed. Overnight, the number of
plants in it doubles. He'd like to put the same number of plants in
each of three gardens, planting one garden each day. Can he do it?
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?
First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
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?
These formulae are often quoted, but rarely proved. In this article, we derive the formulae for the volumes of a square-based pyramid and a cone, using relatively simple mathematical concepts.
Work out how to light up the single light. What's the rule?
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?
Watch this film carefully. Can you find a general rule for
explaining when the dot will be this same distance from the
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
An environment which simulates working with Cuisenaire rods.
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Exchange the positions of the two sets of counters in the least possible number of moves
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?
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
A generic circular pegboard resource.
If you have only four weights, where could you place them in order
to balance this equaliser?
A train building game for 2 players.
Find out what a "fault-free" rectangle is and try to make some of
Investigate how the four L-shapes fit together to make an enlarged
L-shape. You could explore this idea with other shapes too.
How can the same pieces of the tangram make this bowl before and after it was chipped? Use the interactivity to try and work out what is going on!
An interactive activity for one to experiment with a tricky tessellation
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!
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
Can you complete this jigsaw of the multiplication square?
A card pairing game involving knowledge of simple ratio.
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?
Using angular.js to bind inputs to outputs
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?
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.
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
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.
Is it possible to place 2 counters on the 3 by 3 grid so that there
is an even number of counters in every row and every column? How
about if you have 3 counters or 4 counters or....?
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. . . .
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
Can you fit the tangram pieces into the outlines of these people?
How many different triangles can you make on a circular pegboard that has nine pegs?
Can you fit the tangram pieces into the outline of this brazier for roasting chestnuts?
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
Can you fit the tangram pieces into the outlines of these clocks?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
Use the interactivity to investigate what kinds of triangles can be
drawn on peg boards with different numbers of pegs.
Can you find all the different triangles on these peg boards, and
find their angles?