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Can you work out which spinners were used to generate the frequency charts?
This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.
My measurements have got all jumbled up! Swap them around and see if you can find a combination where every measurement is valid.
In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?
Collect as many diamonds as you can by drawing three straight lines.
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?
Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?
Imagine you were given the chance to win some money... and imagine you had nothing to lose...
Can you describe this route to infinity? Where will the arrows take you next?
A game in which players take it in turns to choose a number. Can you block your opponent?
A jigsaw where pieces only go together if the fractions are equivalent.
Why not challenge a friend to play this transformation game?
Using your knowledge of the properties of numbers, can you fill all the squares on the board?
The clues for this Sudoku are the product of the numbers in adjacent squares.
Can you find the area of a parallelogram defined by two vectors?
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.
Here are two games you can play. Which offers the better chance of winning?
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?
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...
A game for 2 or more people, based on the traditional card game Rummy.
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?
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.
If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?
These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?
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.
Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?
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?
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?
Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?
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?
A hexagon, with sides alternately a and b units in length, is inscribed in a circle. How big is the radius of the circle?
How many different symmetrical shapes can you make by shading triangles or squares?
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.
I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?
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.
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
There are lots of different methods to find out what the shapes are worth - how many can you find?
Which of these games would you play to give yourself the best possible chance of winning a prize?
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?
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?
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?
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...
How many solutions can you find to this sum? Each of the different letters stands for a different number.
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.
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?
Can you explain the strategy for winning this game with any target?
There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?