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 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.
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
Create a pattern on the left-hand grid. How could you extend your pattern on the right-hand grid?
Try this interactive strategy game for 2
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?
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Use the sightings of the lion to guess the location of its lair.
Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.
Overlaying pentominoes can produce some effective patterns. Why not use LOGO to try out some of the ideas suggested here?
How many right angles can you make using two sticks?
If you can post the triangle with either the blue or yellow colour face up, how many ways can it be posted altogether?
Use the interactivity to create some steady rhythms. How could you create a rhythm which sounds the same forwards as it does backwards?
Sort the houses in my street into different groups. Can you do it in any other ways?
Find out how we can describe the "symmetries" of this triangle and investigate some combinations of rotating and flipping it.
Can you make the green spot travel through the tube by moving the yellow spot? Could you draw a tube that both spots would follow?
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?
Use the blue spot to help you move the yellow spot from one star to the other. How are the trails of the blue and yellow spots related?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Work out how to light up the single light. What's the rule?
Use the interactivity to sort these numbers into sets. Can you give each set a name?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Use the information about Sally and her brother to find out how many children there are in the Brown family.
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?
An interactive game to be played on your own or with friends. Imagine you are having a party. Each person takes it in turns to stand behind the chair where they will get the most chocolate.
A game for two or more players that uses a knowledge of measuring tools. Spin the spinner and identify which jobs can be done with the measuring tool shown.
How many times in twelve hours do the hands of a clock form a right angle? Use the interactivity to check your answers.
Use the interactivity to make this Islamic star and cross design. Can you produce a tessellation of regular octagons with two different types of triangle?
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over?
Can you match the mass and length or height of these things to their pictures?
Exchange the positions of the two sets of counters in the least possible number of moves
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
What shaped overlaps can you make with two circles which are the same size? What shapes are 'left over'? What shapes can you make when the circles are different sizes?
Can you fit the tangram pieces into the outline of this telephone?
A game for 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!
Can you fit the tangram pieces into the outline of this brazier for roasting chestnuts?
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 game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
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.
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. . . .
How many different rhythms can you make by putting two drums on the wheel?
A variant on the game Alquerque
Play a dice game of chance
Start by putting one million (1 000 000) into the display of your calculator. Can you reduce this to 7 using just the 7 key and add, subtract, multiply, divide and equals as many times as you like?
Can you fit the tangram pieces into the outlines of these people?
A game for 1 person. Can you work out how the dice must be rolled from the start position to the finish? Play on line.
Can you fit the tangram pieces into the outlines of these clocks?
Can you fit the tangram pieces into the outline of the child walking home from school?
Can you fit the tangram pieces into the outlines of the chairs?