An environment which simulates working with Cuisenaire rods.
How many trains can you make which are the same length as Matt's, using rods that are identical?
Can you find all the different ways of lining up these Cuisenaire
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?
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
Can you make a train the same length as Laura's but using three differently coloured rods? Is there only one way of doing it?
Try out the lottery that is played in a far-away land. What is the
chance of winning?
Can you complete this jigsaw of the multiplication square?
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
Use the interactivity to find all the different right-angled
triangles you can make by just moving one corner of the starting
If you have only four weights, where could you place them in order
to balance this equaliser?
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
Use the clues to colour each square.
What happens when you try and fit the triomino pieces into these
Here is a chance to play a version of the classic Countdown Game.
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 hang weights in the right place to make the equaliser
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Can you cover the camel with these pieces?
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?
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?
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Use the information about Sally and her brother to find out how many children there are in the Brown family.
Match the halves.
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....?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
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!
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 train building game for 2 players.
Find out what a "fault-free" rectangle is and try to make some of
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?
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
Use the number weights to find different ways of balancing the equaliser.
Train game for an adult and child. Who will be the first to make the train?
If you hang two weights on one side of this balance, in how many different ways can you hang three weights on the other side for it to be balanced?
Investigate the different sounds you can make by putting the owls
and donkeys on the wheel.
Place six toy ladybirds into the box so that there are two
ladybirds in every column and every row.
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
Explore the different tunes you can make with these five gourds.
What are the similarities and differences between the two tunes you
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?
Move just three of the circles so that the triangle faces in the
Use the Cuisenaire rods environment to investigate ratio. Can you
find pairs of rods in the ratio 3:2? How about 9:6?