Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
Use the interactivities to complete these Venn diagrams.
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
An odd version of tic tac toe
Use the interactivity to sort these numbers into sets. Can you give each set a name?
Use the interactivity to create some steady rhythms. How could you create a rhythm which sounds the same forwards as it does backwards?
Can you complete this jigsaw of the multiplication square?
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
Can you work out how to balance this equaliser? You can put more than one weight on a hook.
Complete the squares - but be warned some are trickier than they look!
Can you find just the right bubbles to hold your number?
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?
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....?
Match the halves.
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?
Can you complete this jigsaw of the 100 square?
Exchange the positions of the two sets of counters in the least possible number of moves
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!
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?
Move just three of the circles so that the triangle faces in the opposite direction.
A variant on the game Alquerque
Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.
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?
A generic circular pegboard resource.
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
Arrange any number of counters from these 18 on the grid to make a rectangle. What numbers of counters make rectangles? How many different rectangles can you make with each number of counters?
These interactive dominoes can be dragged around the screen.
Twenty four games for 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?
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?
Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you find the smallest number that lights up all four lights?
Choose a symbol to put into the number sentence.
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Play a dice game of chance
Can you fit the tangram pieces into the outline of this brazier for roasting chestnuts?
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 shape and space game for 2,3 or 4 players. Be the last person to be able to place a pentomino piece on the playing board. Play with card, or on the computer.
Can you fit the tangram pieces into the outlines of the chairs?
Can you fit the tangram pieces into the outlines of these clocks?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
Can you fit the tangram pieces into the outlines of these people?
Can you fit the tangram pieces into the outline of the child walking home from school?
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.
Create a pattern on the left-hand grid. How could you extend your pattern on the right-hand grid?
A game for 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!