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 have only four weights, where could you place them in order to balance this equaliser?
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?
How many times in twelve hours do the hands of a clock form a right angle? Use the interactivity to check your answers.
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?
Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.
An environment which simulates working with Cuisenaire rods.
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 use the numbers on the dice to reach your end of the number line before your partner beats you?
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?
How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Can you create a story that would describe the movement of the man shown on these graphs? Use the interactivity to try out our ideas.
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?
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 information about Sally and her brother to find out how many children there are in the Brown family.
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Here is a chance to play a version of the classic Countdown Game.
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 six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Can you hang weights in the right place to make the equaliser balance?
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?
Use the number weights to find different ways of balancing the equaliser.
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?
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?
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?
Choose a symbol to put into the number sentence.
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?
A game to be played against the computer, or in groups. Pick a 7-digit number. A random digit is generated. What must you subract to remove the digit from your number? the first to zero wins.
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. . . .
What shaped overlaps can you make with two circles which are the same size? What shapes are 'left over'? What shapes can you make when the circles are different sizes?
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
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.
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.
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
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 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?
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?
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
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?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
How many different rhythms can you make by putting two drums on the wheel?
A game for two or more players that uses a knowledge of measuring tools. Spin the spinner and identify which jobs can be done with the measuring tool shown.
Exchange the positions of the two sets of counters in the least possible number of moves
A game for 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!
A variant on the game Alquerque