An odd version of tic tac toe
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Can you complete this jigsaw of the multiplication square?
This 100 square jigsaw is written in code. It starts with 1 and
ends with 100. Can you build it up?
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
A card pairing game involving knowledge of simple ratio.
Can you hang weights in the right place to make the equaliser
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Complete the squares - but be warned some are trickier than they
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
Play this well-known game against the computer where each player is
equally likely to choose scissors, paper or rock. Why not try the
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?
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?
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?
An interactive activity for one to experiment with a tricky tessellation
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
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. . . .
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.
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
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.
Match the halves.
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?
This was a problem for our birthday website. Can you use four of these pieces to form a square? How about making a square with all five pieces?
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
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!
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?
A generic circular pegboard resource.
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
How many trains can you make which are the same length as Matt's,
using rods that are identical?
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
Twenty four games for the run-up to Christmas.
If you have only four weights, where could you place them in order
to balance this equaliser?
A train building game for 2 players.
Use the interactivity to sort these numbers into sets. Can you give
each set a name?
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
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?
Using angular.js to bind inputs to outputs
Use the interactivities to complete these Venn diagrams.
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
Take it in turns to make a triangle on the pegboard. Can you block
Use the Cuisenaire rods environment to investigate ratio. Can you
find pairs of rods in the ratio 3:2? How about 9:6?
Choose the size of your pegboard and the shapes you can make. Can
you work out the strategies needed to block your opponent?
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.