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?
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?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
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?
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
An odd version of tic tac toe
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Here is a chance to play a version of the classic Countdown Game.
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
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?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
A card pairing game involving knowledge of simple ratio.
Can you complete this jigsaw of the 100 square?
Can you complete this jigsaw of the multiplication square?
Match the halves.
Can you hang weights in the right place to make the equaliser
Play this well-known game against the computer where each player is
equally likely to choose scissors, paper or rock. Why not try the
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
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.
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
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?
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....?
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?
An interactive activity for one to experiment with a tricky tessellation
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 game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
A variant on the game Alquerque
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.
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. . . .
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
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?
A generic circular pegboard resource.
Complete the squares - but be warned some are trickier than they
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Move just three of the circles so that the triangle faces in the
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?
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!
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
Use the number weights to find different ways of balancing the equaliser.
Use the interactivities to complete these Venn diagrams.
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?
Use the sightings of the lion to guess the location of its lair.
Use the interactivity to sort these numbers into sets. Can you give
each set a name?
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?