Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
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 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.
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
Can you work out how to balance this equaliser? You can put more than one weight on a hook.
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 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?
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Find out what a "fault-free" rectangle is and try to make some of your own.
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.
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?
Can you hang weights in the right place to make the equaliser balance?
Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
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?
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
A train building game for 2 players.
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!
Investigate the different sounds you can make by putting the owls and donkeys on the wheel.
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?
Here is a chance to play a version of the classic Countdown Game.
Use the number weights to find different ways of balancing the equaliser.
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?
Match the halves.
If you have only four weights, where could you place them in order to balance this equaliser?
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.
Can you find all the different ways of lining up these Cuisenaire rods?
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
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?
A generic circular pegboard resource.
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?
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.
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?
Find out how we can describe the "symmetries" of this triangle and investigate some combinations of rotating and flipping it.
Can you find all the different triangles on these peg boards, and find their angles?
How many different triangles can you make on a circular pegboard that has nine pegs?
Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2? How about 9:6?
A game for 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!
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 will be?
Explore the different tunes you can make with these five gourds. What are the similarities and differences between the two tunes you are given?
How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
An interactive game to be played on your own or with friends. Imagine you are having a party. Each person takes it in turns to stand behind the chair where they will get the most chocolate.