Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Here is a chance to play a version of the classic Countdown Game.
Work out how to light up the single light. What's the rule?
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?
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?
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?
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
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?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
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!
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
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 hit?
A card pairing game involving knowledge of simple ratio.
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?
Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
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.
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 spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
An activity based on the game 'Pelmanism'. Set your own level of challenge and beat your own previous best score.
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
A and B are two interlocking cogwheels having p teeth and q teeth respectively. One tooth on B is painted red. Find the values of p and q for which the red tooth on B contacts every gap on the. . . .
An interactive activity for one to experiment with a tricky tessellation
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 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!
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 train building game for 2 players.
Practise your diamond mining skills and your x,y coordination in this homage to Pacman.
If you have only four weights, where could you place them in order to balance this equaliser?
Use the sightings of the lion to guess the location of its lair.
Our 2008 Advent Calendar has a 'Making Maths' activity for every day in the run-up to Christmas.
NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.
A game for 1 person to play on screen. Practise your number bonds whilst improving your memory
Find out what a "fault-free" rectangle is and try to make some of your own.
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Using angular.js to bind inputs to outputs
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?
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 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.
A game for 2 players. Can be played online. One player has 1 red counter, the other has 4 blue. The red counter needs to reach the other side, and the blue needs to trap the red.
What is the relationship between the angle at the centre and the angles at the circumference, for angles which stand on the same arc? Can you prove it?
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
Find out how we can describe the "symmetries" of this triangle and investigate some combinations of rotating and flipping it.
Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2? How about 9:6?
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?
You have 27 small cubes, 3 each of nine colours. Use the small cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of every colour.
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?
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.
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?