Can you locate the lost giraffe? Input coordinates to help you search and find the giraffe in the fewest guesses.
Carry out some time trials and gather some data to help you decide on the best training regime for your rowing crew.
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
Imagine picking up a bow and some arrows and attempting to hit the target a few times. Can you work out the settings for the sight that give you the best chance of gaining a high score?
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
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?
Can you coach your rowing eight to win?
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?
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....?
An environment which simulates working with Cuisenaire rods.
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 spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
Meg and Mo need to hang their marbles so that they balance. Use the interactivity to experiment and find out what they need to do.
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?
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!
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?
How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
Practise your diamond mining skills and your x,y coordination in this homage to Pacman.
Explore the different tunes you can make with these five gourds. What are the similarities and differences between the two tunes you are given?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
How many different triangles can you make on a circular pegboard that has nine pegs?
Euler discussed whether or not it was possible to stroll around Koenigsberg crossing each of its seven bridges exactly once. Experiment with different numbers of islands and bridges.
Can you make a right-angled triangle on this peg-board by joining up three points round the edge?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Learn how to use the Shuffles interactivity by running through these tutorial demonstrations.
Meg and Mo still need to hang their marbles so that they balance, but this time the constraints are different. Use the interactivity to experiment and find out what they need to do.
Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
Find out how we can describe the "symmetries" of this triangle and investigate some combinations of rotating and flipping it.
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
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?
Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
Triangle numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle 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?
Can you find all the different triangles on these peg boards, and find their angles?
Can you find all the different ways of lining up these Cuisenaire rods?
A game for 1 person to play on screen. Practise your number bonds whilst improving your memory
Can you explain the strategy for winning this game with any target?
Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.
Try out the lottery that is played in a far-away land. What is the chance of winning?
Choose a symbol to put into the number sentence.
Work out how to light up the single light. What's the rule?
Six balls of various colours are randomly shaken into a trianglular arrangement. What is the probability of having at least one red in the corner?
Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?