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.
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?
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?
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....?
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
An odd version of tic tac toe
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!
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
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 complete this jigsaw of the multiplication square?
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
If you have only four weights, where could you place them in order
to balance this equaliser?
A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
An environment which simulates working with Cuisenaire rods.
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
Choose a symbol to put into the number sentence.
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
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
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?
An interactive activity for one to experiment with a tricky tessellation
A generic circular pegboard resource.
Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
Try out the lottery that is played in a far-away land. What is the
chance of winning?
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.
A variant on the game Alquerque
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Using angular.js to bind inputs to outputs
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
Move just three of the circles so that the triangle faces in the
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?
Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?
Train game for an adult and child. Who will be the first to make the train?
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?
The aim of the game is to slide the green square from the top right
hand corner to the bottom left hand corner in the least number of
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?
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?
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.
Stop the Clock game for an adult and child. How can you make sure you always win this game?
Use the information about Sally and her brother to find out how many children there are in the Brown family.
Twenty four games for the run-up to Christmas.