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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gameFavouriteThe remainders game
Play this game and see if you can figure out the computer's chosen number.
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problemFavouriteMatching fractions, decimals and percentages
Can you match pairs of fractions, decimals and percentages, and beat your previous scores?
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problemFavouriteGot it
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.
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problemFavouriteYour number is...
Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?
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problemFavouriteTreasure hunt
Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
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problemFavouriteMissing multipliers
What is the smallest number of answers you need to reveal in order to work out the missing headers?
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problemFavouriteThe Number Jumbler
The Number Jumbler can always work out your chosen symbol. Can you work out how?
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problemFavourite4 by 4 Mathdokus
Can you use the clues to complete these 4 by 4 Mathematical Sudokus?
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problemFavouriteMore less is more
In each of these games, you will need a little bit of luck and your knowledge of place value to develop a winning strategy.
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problemFavouriteFactor lines
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
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problemFavouriteRemainders
I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?
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problemFavouriteNumber lines in disguise
Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
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gameFavouriteFactors and multiples game
A game in which players take it in turns to choose a number. Can you block your opponent?
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problemFavouriteFruity totals
In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?
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problemFavourite5 by 5 Mathdokus
Can you use the clues to complete these 5 by 5 Mathematical Sudokus?
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problemFavouriteFrogs
How many moves does it take to swap over some red and blue frogs? Do you have a method?
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problemFavouritePicturing triangular numbers
What do you notice about the sum of two identical triangular numbers?
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problemFavouriteNumber pyramids
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
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problemFavouriteTilted squares
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
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problemFavouriteIsosceles triangles
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?
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problemFavouritePartitioning revisited
We can show that (x + 1)² = x² + 2x + 1 by considering the area of an (x + 1) by (x + 1) square. Show in a similar way that (x + 2)² = x² + 4x + 4
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problemFavouriteTriangles in circles
Can you find triangles on a 9-point circle? Can you work out their angles?
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problemFavouriteFlippin' discs
Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?
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problemFavouriteHow far does it move?
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.
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problemFavouriteSubstitution cipher
Find the frequency distribution for ordinary English, and use it to help you crack the code.
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problemFavouriteIn the bag
Can you guess the colours of the 10 marbles in the bag? Can you develop an effective strategy for reaching 1000 points in the least number of rounds?
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problemFavouriteInteractive spinners
This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.
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problemFavouriteReaction timer
This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.
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problemFavouriteShifting times tables
Can you find a way to identify times tables after they have been shifted up or down?
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problemFavouriteYour number was...
Think of a number and follow my instructions. Tell me your answer, and I'll tell you what you started with! Can you explain how I know?
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problemFavouriteRolling around
A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square. Can you describe the locus of the centre of the circle?
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problemFavouriteMore number pyramids
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
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problemFavouriteSquare coordinates
A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?