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....?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
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 use the numbers on the dice to reach your end of the number line before your partner beats you?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
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?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
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?
An odd version of tic tac toe
Can you complete this jigsaw of the multiplication square?
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
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!
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
If you have only four weights, where could you place them in order
to balance this equaliser?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Here is a chance to play a version of the classic Countdown Game.
Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
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?
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?
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?
An interactive activity for one to experiment with a tricky tessellation
Use the information about Sally and her brother to find out how many children there are in the Brown family.
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?
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.
How many different rhythms can you make by putting two drums on the
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
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?
A generic circular pegboard resource.
Train game for an adult and child. Who will be the first to make the train?
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.
First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
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?
Using angular.js to bind inputs to outputs
Move just three of the circles so that the triangle faces in the
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?
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
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?
Can you find all the different ways of lining up these Cuisenaire
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
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
A train building game for 2 players.
Use the clues to colour each square.