Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
A game that tests your understanding of remainders.
A game in which players take it in turns to choose a number. Can you block your opponent?
A game for 2 or more people. Starting with 100, subratct a number from 1 to 9 from the total. You score for making an odd number, a number ending in 0 or a multiple of 6.
There are nasty versions of this dice game but we'll start with the nice ones...
Given the products of diagonally opposite cells - can you complete this Sudoku?
This challenge is a game for two players. Choose two numbers from the grid and multiply or divide, then mark your answer on the number line. Can you get four in a row before your partner?
A game for 2 people. Take turns placing a counter on the star. You win when you have completed a line of 3 in your colour.
A shunting puzzle for 1 person. Swop the positions of the counters at the top and bottom of the board.
A game for 2 people using a pack of cards Turn over 2 cards and try to make an odd number or a multiple of 3.
Who said that adding, subtracting, multiplying and dividing couldn't be fun?
This second Sudoku article discusses "Corresponding Sudokus" which are pairs of Sudokus with terms that can be matched using a substitution rule.
A game for 2 or more players with a pack of cards. Practise your skills of addition, subtraction, multiplication and division to hit the target score.
A Sudoku that uses transformations as supporting clues.
Two sudokus in one. Challenge yourself to make the necessary connections.
A card pairing game involving knowledge of simple ratio.
A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?
A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.
A game for 2 players. Given an arrangement of matchsticks, players take it is turns to remove a matchstick, along with all of the matchsticks that touch it.
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 for 2 or more people, based on the traditional card game Rummy. Players aim to make two `tricks', where each trick has to consist of a picture of a shape, a name that describes that shape, and. . . .
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.
A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...
This sudoku requires you to have "double vision" - two Sudoku's for the price of one
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?
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.
A simple game of patience which often comes out. Can you explain why?
This pair of linked Sudokus matches letters with numbers and hides a seasonal greeting. Can you find it?
Unmultiply is a game of quick estimation. You need to find two numbers that multiply together to something close to the given target - fast! 10 levels with a high scores table.
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.
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
A game for 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!
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?
Design your own scoring system and play Trumps with these Olympic Sport cards.
An interactive activity for one to experiment with a tricky tessellation
A train building game for 2 players.
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Investigations based on an Indian game.
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
A Sudoku with clues as ratios.
This is a game for 2 players. Each player has 4 counters each, and wins by blocking their opponent's counters. A good follow-on from two stones.
The game uses a 3x3 square board. 2 players take turns to play, either placing a red on an empty square, or changing a red to orange, or orange to green. The player who forms 3 of 1 colour in a line. . . .
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
This is a game for two players. You will need some small-square grid paper, a die and two felt-tip pens or highlighters. Players take turns to roll the die, then move that number of squares in. . . .
Start with any number of counters in any number of piles. 2 players take it in turns to remove any number of counters from a single pile. The winner is the player to take the last counter.
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 moves.
A Sudoku with a twist.
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
Basic strategy games are particularly suitable as starting points for investigations. Players instinctively try to discover a winning strategy, and usually the best way to do this is to analyse. . . .
An ordinary set of dominoes can be laid out as a 7 by 4 magic rectangle in which all the spots in all the columns add to 24, while those in the rows add to 42. Try it! Now try the magic square...