Can you locate the lost giraffe? Input coordinates to help you
search and find the giraffe in the fewest guesses.
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?
Carry out some time trials and gather some data to help you decide
on the best training regime for your rowing crew.
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?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
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?
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
Can you find a reliable strategy for choosing coordinates that will locate the robber in the minimum number of guesses?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
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.
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?
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.
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
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?
Learn how to use the Shuffles interactivity by running through these tutorial demonstrations.
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?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.
What is the relationship between the angle at the centre and the
angles at the circumference, for angles which stand on the same
arc? Can you prove it?
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 make a cycle of pairs that add to make a square number
using all the numbers in the box below, once and once only?
Practise your diamond mining skills and your x,y coordination in this homage to Pacman.
An animation that helps you understand the game of Nim.
Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
Can you find all the different ways of lining up these Cuisenaire
Choose a symbol to put into the number sentence.
Find out what a "fault-free" rectangle is and try to make some of
Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Work out how to light up the single light. What's the rule?
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
An environment which simulates working with Cuisenaire rods.
Try out the lottery that is played in a far-away land. What is the
chance of winning?
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?
Six balls of various colours are randomly shaken into a trianglular
arrangement. What is the probability of having at least one red in
Cut four triangles from a square as shown in the picture. How many
different shapes can you make by fitting the four triangles back
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
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.
A game for 1 person to play on screen. Practise your number bonds
whilst improving your memory
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?
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.
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
Mo has left, but Meg is still experimenting. Use the interactivity
to help you find out how she can alter her pouch of marbles and
still keep the two pouches balanced.
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?
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 make the green spot travel through the tube by moving the
yellow spot? Could you draw a tube that both spots would follow?
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
A tetromino is made up of four squares joined edge to edge. Can
this tetromino, together with 15 copies of itself, be used to cover
an eight by eight chessboard?