Secondary interactive resources

Can you work out what step size to take to ensure you visit all the dots on the circle?

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?

Can you make a right-angled triangle on this peg-board by joining up three points round the edge?

Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?

Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.

Imagine we have four bags containing numbers from a sequence. What numbers can we make now?

How well can you estimate 10 seconds? Investigate with our timing tool.

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.

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.

Can you find the values at the vertices when you know the values on the edges?

Can you find the pairs that represent the same amount of money?

Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?

Here is a chance to play a fractions version of the classic Countdown Game.

Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

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 parallelogram.

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?

Can you make sense of these three proofs of Pythagoras' Theorem?

How did the the rotation robot make these patterns?

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.

Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?

Four friends must cross a bridge. How can they all cross it in just 17 minutes?

Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?

Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?

Can you find the hidden factors which multiply together to produce each quadratic expression?

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?

Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?

Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?

Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?

Ask a friend to choose a number between 1 and 63. By identifying which of the six cards contains the number they are thinking of it is easy to tell them what the number is.

Can you work out which spinners were used to generate the frequency charts?

Can you locate these values on this interactive logarithmic scale?

Can you work through these direct proofs, using our interactive proof sorters?

Mathmo is a revision tool for post-16 mathematics. Give yourself a mathematical workout!