NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
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?
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?
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
How many trains can you make which are the same length as Matt's,
using rods that are identical?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
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?
You'll need two dice to play this game against a partner. Will Incey Wincey make it to the top of the drain pipe or the bottom of the drain pipe first?
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?
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?
Move just three of the circles so that the triangle faces in the
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 game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
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?
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?
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
Can you find all the different triangles on these peg boards, and
find their angles?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
Use the interactivity to find all the different right-angled
triangles you can make by just moving one corner of the starting
Use your mouse to move the red and green parts of this disc. Can
you make images which show the turnings described?
A card pairing game involving knowledge of simple ratio.
There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?
How many different triangles can you make on a circular pegboard
that has nine pegs?
A generic circular pegboard resource.
Can you complete this jigsaw of the 100 square?
Take it in turns to place a domino on the grid. One to be placed horizontally and the other vertically. Can you make it impossible for your opponent to play?
An odd version of tic tac toe
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. . . .
Find out what a "fault-free" rectangle is and try to make some of
A train building game for 2 players.
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
Can you find all the different ways of lining up these Cuisenaire
Complete the squares - but be warned some are trickier than they
If you have only four weights, where could you place them in order
to balance this equaliser?
Twenty four games for the run-up to Christmas.
Here is a chance to play a version of the classic Countdown Game.
Use the clues to colour each square.
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Try out the lottery that is played in a far-away land. What is the
chance of winning?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
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?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible 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.
An interactive activity for one to experiment with a tricky tessellation