Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
Play a dice game of chance
Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?
Terry and Ali are playing a game with three balls. Is it fair that Terry wins when the middle ball is red?
Use the interactivity or play this dice game yourself. How could you make it fair?
A simple spinner that is equally likely to land on Red or Black. Useful if tossing a coin, dropping it, and rummaging about on the floor have lost their appeal. Needs a modern browser; if IE then at. . . .
Explore this interactivity and see if you can work out what it does. Could you use it to estimate the area of a shape?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
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 use the numbers on the dice to reach your end of the number line before your partner beats you?
Use the interactivity to create some steady rhythms. How could you create a rhythm which sounds the same forwards as it does backwards?
An activity based on the game 'Pelmanism'. Set your own level of challenge and beat your own previous best score.
Match the halves.
How many different rhythms can you make by putting two drums on the wheel?
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.
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.
Can you find a reliable strategy for choosing coordinates that will locate the robber in the minimum number of guesses?
A tool for generating random integers.
Work out the fractions to match the cards with the same amount of money.
Explore the different tunes you can make with these five gourds. What are the similarities and differences between the two tunes you are given?
Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
Work out how to light up the single light. What's the rule?
Use this animation to experiment with lotteries. Choose how many balls to match, how many are in the carousel, and how many draws to make at once.
Try out the lottery that is played in a far-away land. What is the chance of winning?
A game for 1 person to play on screen. Practise your number bonds whilst improving your memory
There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?
Investigate the different sounds you can make by putting the owls and donkeys on the wheel.
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?
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Use the information about Sally and her brother to find out how many children there are in the Brown family.
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
How many right angles can you make using two sticks?
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?
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?
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....?
If you can post the triangle with either the blue or yellow colour face up, how many ways can it be posted altogether?
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.
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?
Create a pattern on the left-hand grid. How could you extend your pattern on the right-hand grid?
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?
The classic vector racing game brought to a screen near you.
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
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?
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 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 2 players. Can be played online. One player has 1 red counter, the other has 4 blue. The red counter needs to reach the other side, and the blue needs to trap the red.