This activity challenges you to make collections of shapes. Can you
give your collection a name?
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
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 how to light up the single light. What's the rule?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Sort the houses in my street into different groups. Can you do it in any other ways?
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
How many trains can you make which are the same length as Matt's,
using rods that are identical?
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?
How many different ways can you find to join three equilateral
triangles together? Can you convince us that you have found them
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Arrange any number of counters from these 18 on the grid to make a rectangle. What numbers of counters make rectangles? How many different rectangles can you make with each number of counters?
Complete the squares - but be warned some are trickier than they
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
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.
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.
Use the interactivity to sort these numbers into sets. Can you give
each set a name?
Find out what a "fault-free" rectangle is and try to make some of
An interactive activity for one to experiment with a tricky tessellation
How many different rhythms can you make by putting two drums on the
Twenty four games for the run-up to Christmas.
Exchange the positions of the two sets of counters in the least possible number of moves
If you have only four weights, where could you place them in order
to balance this equaliser?
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?
Use the interactivities to complete these Venn diagrams.
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?
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
Can you find all the different triangles on these peg boards, and
find their angles?
Use the interactivity to investigate what kinds of triangles can be
drawn on peg boards with different numbers of pegs.
Move just three of the circles so that the triangle faces in the
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!
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. . . .
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?
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
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?
In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?
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 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
Can you find all the different ways of lining up these Cuisenaire
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?