If you have only four weights, where could you place them in order to balance this equaliser?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
The number of plants in Mr McGregor's magic potting shed increases overnight. He'd like to put the same number of plants in each of his gardens, planting one garden each day. How can he do it?
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?
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?
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....?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
Can you complete this jigsaw of the multiplication square?
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
Use the interactivities to complete these Venn diagrams.
Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
Here is a chance to play a version of the classic Countdown Game.
Mr McGregor has a magic potting shed. Overnight, the number of plants in it doubles. He'd like to put the same number of plants in each of three gardens, planting one garden each day. Can he do it?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Can you explain the strategy for winning this game with any target?
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?
A card pairing game involving knowledge of simple ratio.
A game for two people that can be played with pencils and paper. Combine your knowledge of coordinates with some strategic thinking.
A train building game for 2 players.
Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
Use the interactivity or play this dice game yourself. How could you make it fair?
Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?
Train game for an adult and child. Who will be the first to make the train?
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
A simulation of target archery practice
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?
Can you find a relationship between the number of dots on the circle and the number of steps that will ensure that all points are hit?
Work out the fractions to match the cards with the same amount of money.
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
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 and B are two interlocking cogwheels having p teeth and q teeth respectively. One tooth on B is painted red. Find the values of p and q for which the red tooth on B contacts every gap on the. . . .
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.
There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?
Watch this film carefully. Can you find a general rule for explaining when the dot will be this same distance from the horizontal axis?
An interactive activity for one to experiment with a tricky tessellation
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.
A game for 1 person to play on screen. Practise your number bonds whilst improving your memory
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. . . .
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?
A game for 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!
This problem is based on a code using two different prime numbers less than 10. You'll need to multiply them together and shift the alphabet forwards by the result. Can you decipher the code?
Use the interactivities to complete these Venn diagrams.