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?
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?
If you have only four weights, where could you place them in order
to balance this equaliser?
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!
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?
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
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?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
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.
An interactive activity for one to experiment with a tricky tessellation
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
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?
Choose a symbol to put into the number sentence.
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?
A train building game for 2 players.
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Use the sightings of the lion to guess the location of its lair.
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
Here is a chance to play a version of the classic Countdown Game.
A card pairing game involving knowledge of simple ratio.
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 make a cycle of pairs that add to make a square number
using all the numbers in the box below, once and once only?
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
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?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Can you make the green spot travel through the tube by moving the
yellow spot? Could you draw a tube that both spots would follow?
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Start by putting one million (1 000 000) into the display of your
calculator. Can you reduce this to 7 using just the 7 key and add,
subtract, multiply, divide and equals as many times as you like?
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.
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
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.
Using angular.js to bind inputs to outputs
Can you find all the different triangles on these peg boards, and
find their angles?
Use the Cuisenaire rods environment to investigate ratio. Can you
find pairs of rods in the ratio 3:2? How about 9:6?
Use the interactivity to find all the different right-angled
triangles you can make by just moving one corner of the starting
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
What shaped overlaps can you make with two circles which are the
same size? What shapes are 'left over'? What shapes can you make
when the circles are different sizes?
Can you find all the different ways of lining up these Cuisenaire
Triangle numbers can be represented by a triangular array of
squares. What do you notice about the sum of identical triangle
Choose the size of your pegboard and the shapes you can make. Can
you work out the strategies needed to block your opponent?
Can you complete this jigsaw of the multiplication square?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
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