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Here is a chance to play a version of the classic Countdown Game.
In each of these games, you will need a little bit of luck, and your knowledge of place value to develop a winning strategy.
I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?
Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?
Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.
A game in which players take it in turns to choose a number. Can you block your opponent?
How many solutions can you find to this sum? Each of the different letters stands for a different number.
This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.
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?
Invent a scoring system for a 'guess the weight' competition.
A game for 2 or more people, based on the traditional card game Rummy.
Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?
Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...
Using your knowledge of the properties of numbers, can you fill all the squares on the board?
Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?
A cinema has 100 seats. Show how it is possible to sell exactly 100 tickets and take exactly £100 if the prices are £10 for adults, 50p for pensioners and 10p for children.
By selecting digits for an addition grid, what targets can you make?
Can you deduce which Olympic athletics events are represented by the graphs?
These Olympic quantities have been jumbled up! Can you put them back together again?
Can you explain the strategy for winning this game with any target?
Engage in a little mathematical detective work to see if you can spot the fakes.
How many different symmetrical shapes can you make by shading triangles or squares?
If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?
Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.
Play this game to learn about adding and subtracting positive and negative numbers
15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?
A jigsaw where pieces only go together if the fractions are equivalent.
If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?
Can all unit fractions be written as the sum of two unit fractions?
Each clue in this Sudoku is the product of the two numbers in adjacent cells.
Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects the distance it travels at each stage.
What happens to the area and volume of 2D and 3D shapes when you enlarge them?
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.
Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?
Which countries have the most naturally athletic populations?
A monkey with peaches, keeps a fraction of them each day, gives the rest away, and then eats one. How long can his peaches last?
Imagine we have four bags containing numbers from a sequence. What numbers can we make now?
Surprising numerical patterns can be explained using algebra and diagrams...
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...
Why not challenge a friend to play this transformation game?
A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?
The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.
Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.
My measurements have got all jumbled up! Swap them around and see if you can find a combination where every measurement is valid.
Can you describe this route to infinity? Where will the arrows take you next?
Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?
Imagine you were given the chance to win some money... and imagine you had nothing to lose...
How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?
Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.
There are lots of different methods to find out what the shapes are worth - how many can you find?
Here is a chance to play a fractions version of the classic Countdown Game.
Collect as many diamonds as you can by drawing three straight lines.
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.
The clues for this Sudoku are the product of the numbers in adjacent squares.
Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?
In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?
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 rhombus.
Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?
Match the cumulative frequency curves with their corresponding box plots.
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
Explore when it is possible to construct a circle which just touches all four sides of a quadrilateral.
Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?
Sets of integers like 3, 4, 5 are called Pythagorean Triples, because they could be the lengths of the sides of a right-angled triangle. Can you find any more?
Some students have been working out the number of strands needed for different sizes of cable. Can you make sense of their solutions?
Here are two games you can play. Which offers the better chance of winning?
How can we make sense of national and global statistics involving very large numbers?
Which of these games would you play to give yourself the best possible chance of winning a prize?
Where should runners start the 200m race so that they have all run the same distance by the finish?
Imagine a large cube made from small red cubes being dropped into a pot of yellow paint. How many of the small cubes will have yellow paint on their faces?
All CD Heaven stores were given the same number of a popular CD to sell for £24. In their two week sale each store reduces the price of the CD by 25% ... How many CDs did the store sell at each price?
If the hypotenuse (base) length is 100cm and if an extra line splits the base into 36cm and 64cm parts, what were the side lengths for the original right-angled triangle?
Six samples were taken from two distributions but they got muddled up. Can you work out which list is which?
Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?
Jo made a cube from some smaller cubes, painted some of the faces of the large cube, and then took it apart again. 45 small cubes had no paint on them at all. How many small cubes did Jo use?
Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?
In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?
Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?
I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?
Take any prime number greater than 3 , square it and subtract one. Working on the building blocks will help you to explain what is special about your results.
Can you find the area of a parallelogram defined by two vectors?
A hexagon, with sides alternately a and b units in length, is inscribed in a circle. How big is the radius of the circle?
Can you work out which spinners were used to generate the frequency charts?
Starting with two basic vector steps, which destinations can you reach on a vector walk?
Infographics are a powerful way of communicating statistical information. Can you come up with your own?
Can you work out which processes are represented by the graphs?
10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?
Can you make sense of the three methods to work out what fraction of the total area is shaded?