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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problemMatching fractions, decimals and percentages
Can you match pairs of fractions, decimals and percentages, and beat your previous scores?
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problemGot 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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problemYour 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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problemTreasure 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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problemMissing multipliers
What is the smallest number of answers you need to reveal in order to work out the missing headers?
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problemThe Number Jumbler
The Number Jumbler can always work out your chosen symbol. Can you work out how?
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problemMore 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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problemFactor 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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problemRemainders
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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problemNumber 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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problemFruity totals
In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?
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problemFrogs
How many moves does it take to swap over some red and blue frogs? Do you have a method?
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problemPicturing triangular numbers
What do you notice about the sum of two identical triangular numbers?
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problemNumber pyramids
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
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problemTilted 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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problemIsosceles 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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problemPartitioning 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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problemTriangles in circles
Can you find triangles on a 9-point circle? Can you work out their angles?
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problemFlippin' 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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problemHow 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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problemSubstitution cipher
Find the frequency distribution for ordinary English, and use it to help you crack the code.
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problemIn 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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problemInteractive spinners
This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.
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problemReaction timer
This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.
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problemShifting times tables
Can you find a way to identify times tables after they have been shifted up or down?
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problemYour 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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problemRolling 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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problemMore number pyramids
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
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problemSquare 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?