Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
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!
Use the information about Sally and her brother to find out how many children there are in the Brown family.
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
If you have only four weights, where could you place them in order to balance this equaliser?
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?
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?
Here is a chance to play a version of the classic Countdown Game.
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
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 hang weights in the right place to make the equaliser balance?
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.
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?
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?
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 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 put the numbers 1 to 8 into the circles so that the four calculations are correct?
There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?
Use the number weights to find different ways of balancing the equaliser.
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
You'll need two dice to play this game against a partner. Will Incey Wincey make it to the top of the drain pipe or the bottom of the drain pipe first?
Choose a symbol to put into the number sentence.
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 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?
An environment which simulates working with Cuisenaire rods.
Can you work out how to balance this equaliser? You can put more than one weight on a hook.
An odd version of tic tac toe
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?
Match the halves.
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 interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.
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?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Play this well-known game against the computer where each player is equally likely to choose scissors, paper or rock. Why not try the variations too?
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 complete this jigsaw of the multiplication square?
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?
A generic circular pegboard resource.
Twenty four games for the run-up to Christmas.
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Exchange the positions of the two sets of counters in the least possible number of moves
Move just three of the circles so that the triangle faces in the opposite direction.
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
The idea of this game is to add or subtract the two numbers on the dice and cover the result on the grid, trying to get a line of three. Are there some numbers that are good to aim for?
A variant on the game Alquerque
How many trains can you make which are the same length as Matt's, using rods that are identical?
Complete the squares - but be warned some are trickier than they look!