On this page you can find interactive environments, games and problems for Secondary learners.
Interactive environments
These general interactive environments can be used to support learners' work on a variety of activities.
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interactivityFavouriteDice and Spinners Interactive
Simple dice and spinners tool for experiments.
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interactivityFavouriteCuisenaire Environment
An environment which simulates working with Cuisenaire rods.
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interactivityFavouriteDominoes Environment
These interactive dominoes can be dragged around the screen.
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interactivityFavouriteVirtual Geoboard
This virtual geoboard allows you to create shapes by stretching rubber bands between pegs on the board.
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interactivityFavouriteTessellation Interactivity
An environment that enables you to investigate tessellations of regular polygons
Interactive activities
These problems and games all have interactive content, making them ideal for students to tackle on tablets or laptops.
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problemFavouriteStars
Can you work out what step size to take to ensure you visit all the dots on the circle?
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problemFavouriteSubtended Angles
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?
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problemFavouriteRight Angles
Can you make a right-angled triangle on this peg-board by joining up three points round the edge?
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problemFavouriteTwo's Company
Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?
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problemFavouriteCosy Corner
Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?
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problemFavouriteSpeeding Up, Slowing Down
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.
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problemFavouriteWhat Numbers Can We Make Now?
Imagine we have four bags containing numbers from a sequence. What numbers can we make now?
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problemFavouriteEstimating Time
How well can you estimate 10 seconds? Investigate with our timing tool.
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problemFavouriteRollin' Rollin' Rollin'
Two circles of equal radius touch at P. One circle is fixed whilst the other moves, rolling without slipping, all the way round. How many times does the moving coin revolve before returning to P? -
problemFavouriteUp and Across
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.
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gameFavouriteDiamond Collector
Collect as many diamonds as you can by drawing three straight lines.
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problemFavouriteSquare It
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.
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problemFavouriteArithmagons
Can you find the values at the vertices when you know the values on the edges?
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problemFavouriteFractions and Percentages Card Game
Can you find the pairs that represent the same amount of money?
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problemFavouriteSemi-regular Tessellations
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
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problemFavouriteCountdown Fractions
Here is a chance to play a fractions version of the classic Countdown Game.
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problemFavouriteCyclic Quadrilaterals
Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?
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problemFavouriteCharlie's Delightful Machine
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
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problemFavouriteParallelogram It
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.
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problemFavouriteMagic Potting Sheds
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?
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problemFavouritePythagoras Proofs
Can you make sense of these three proofs of Pythagoras' Theorem?
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problemFavouriteRhombus It
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.
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problemFavouriteNine Colours
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?
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problemFavouriteMore Magic Potting Sheds
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? -
problemFavouriteCrossing the Bridge
Four friends must cross a bridge. How can they all cross it in just 17 minutes?
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problemFavouriteBeelines
Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?
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problemFavouriteA Little Light Thinking
Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?
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problemFavouriteFinding Factors
Can you find the hidden factors which multiply together to produce each quadratic expression?
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problemFavouriteAttractive Tablecloths
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?
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problemFavouriteA Question of Scale
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?
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problemFavouriteAt Right Angles
Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?
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problemFavouriteMultiplication Arithmagons
Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?
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problemFavouriteGuesswork
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.
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problemFavouriteWhich Spinners?
Can you work out which spinners were used to generate the frequency charts?
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problemFavouriteDirect Logic
Can you work through these direct proofs, using our interactive proof sorters?
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problemFavouriteInteractive Workout - Mathmo
Mathmo is a revision tool for post-16 mathematics. Give yourself a mathematical workout!