Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
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?
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 information about Sally and her brother to find out how many children there are in the Brown family.
An environment which simulates working with Cuisenaire rods.
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?
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 numbers 1 to 8 into the circles so that the four calculations are correct?
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?
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
If you have only four weights, where could you place them in order to balance this equaliser?
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?
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.
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?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
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?
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?
Use the number weights to find different ways of balancing the equaliser.
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?
Can you hang weights in the right place to make the equaliser balance?
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Here is a chance to play a version of the classic Countdown Game.
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?
Ben and his mum are planting garlic. Use the interactivity to help you find out how many cloves of garlic they might have had.
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Can you work out how to balance this equaliser? You can put more than one weight on a hook.
How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
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?
Choose a symbol to put into the number sentence.
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?
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
A generic circular pegboard resource.
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 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?
Can you find all the different ways of lining up these Cuisenaire rods?
Move just three of the circles so that the triangle faces in the opposite direction.
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?
Find out what a "fault-free" rectangle is and try to make some of your own.
How many different triangles can you make on a circular pegboard that has nine pegs?
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. . . .
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?
Match the halves.