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Broad Topics > Information and Communications Technology > Interactivities

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Junior Frogs

Stage: 1 and 2 Challenge Level: Challenge Level:2 Challenge Level:2

Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?

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Difference

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.

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Counters

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Hover your mouse over the counters to see which ones will be removed. Click to remover them. The winner is the last one to remove a counter. How you can make sure you win?

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We'll Bang the Drum

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

How many different rhythms can you make by putting two drums on the wheel?

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Coloured Squares

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

Use the clues to colour each square.

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Winning the Lottery

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Try out the lottery that is played in a far-away land. What is the chance of winning?

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Red Even

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

You have 4 red and 5 blue counters. How many ways can they be placed on a 3 by 3 grid so that all the rows columns and diagonals have an even number of red counters?

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Find the Difference

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.

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Combining Cuisenaire

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Can you find all the different ways of lining up these Cuisenaire rods?

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Code Breaker

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

This problem is based on a code using two different prime numbers less than 10. You'll need to multiply them together and shift the alphabet forwards by the result. Can you decipher the code?

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Tessellate the Triominoes

Stage: 1 Challenge Level: Challenge Level:1

What happens when you try and fit the triomino pieces into these two grids?

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Tetrafit

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

A tetromino is made up of four squares joined edge to edge. Can this tetromino, together with 15 copies of itself, be used to cover an eight by eight chessboard?

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More Transformations on a Pegboard

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.

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One to Fifteen

Stage: 2 Challenge Level: Challenge Level:1

Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?

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Four Triangles Puzzle

Stage: 1 and 2 Challenge Level: Challenge Level:1

Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?

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Ladybird Box

Stage: 1 and 2 Challenge Level: Challenge Level:2 Challenge Level:2

Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.

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Arrangements

Stage: 2 Challenge Level: Challenge Level:1

Is it possible to place 2 counters on the 3 by 3 grid so that there is an even number of counters in every row and every column? How about if you have 3 counters or 4 counters or....?

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Seven Flipped

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.

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Nine-pin Triangles

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

How many different triangles can you make on a circular pegboard that has nine pegs?

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Triangle Edges

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?

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One Million to Seven

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Start by putting one million (1 000 000) into the display of your calculator. Can you reduce this to 7 using just the 7 key and add, subtract, multiply, divide and equals as many times as you like?

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Beads

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?

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Play a Merry Tune

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Explore the different tunes you can make with these five gourds. What are the similarities and differences between the two tunes you are given?

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Are You Well Balanced?

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Can you work out how to balance this equaliser? You can put more than one weight on a hook.

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Domino Numbers

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?

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Cuisenaire Counting

Stage: 1 Challenge Level: Challenge Level:1

Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?

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Making Trains

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

Can you make a train the same length as Laura's but using three differently coloured rods? Is there only one way of doing it?

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Sorting Symmetries

Stage: 2 Challenge Level: Challenge Level:1

Find out how we can describe the "symmetries" of this triangle and investigate some combinations of rotating and flipping it.

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Advent Calendar 2006

Stage: 2 Challenge Level: Challenge Level:1

NRICH December 2006 advent calendar - a new tangram for each day in the run-up to Christmas.

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Tubular Path

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Can you make the green spot travel through the tube by moving the yellow spot? Could you draw a tube that both spots would follow?

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Teddy Town

Stage: 1, 2 and 3 Challenge Level: Challenge Level:2 Challenge Level:2

There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?

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Cover the Camel

Stage: 1 Challenge Level: Challenge Level:1

Can you cover the camel with these pieces?

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Triangles All Around

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Can you find all the different triangles on these peg boards, and find their angles?

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Getting the Balance

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

If you hang two weights on one side of this balance, in how many different ways can you hang three weights on the other side for it to be balanced?

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Fault-free Rectangles

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Find out what a "fault-free" rectangle is and try to make some of your own.

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A Square of Numbers

Stage: 2 Challenge Level: Challenge Level:1

Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

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Advent Calendar 2008

Stage: 1 and 2 Challenge Level: Challenge Level:1

Our 2008 Advent Calendar has a 'Making Maths' activity for every day in the run-up to Christmas.

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Fair Exchange

Stage: 1 Challenge Level: Challenge Level:1

In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?

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World of Tan 20 - Fractions

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Can you fit the tangram pieces into the outlines of the chairs?

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Coordinate Cunning

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

A game for 2 people that can be played on line or with pens and paper. Combine your knowledege of coordinates with your skills of strategic thinking.

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World of Tan 21 - Almost There Now

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?

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World of Tan 22 - an Appealing Stroll

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Can you fit the tangram pieces into the outline of the child walking home from school?

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Coordinate Tan

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

What are the coordinates of the coloured dots that mark out the tangram? Try changing the position of the origin. What happens to the coordinates now?

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One Big Triangle

Stage: 1 Challenge Level: Challenge Level:1

Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.

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Change Around

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

Move just three of the circles so that the triangle faces in the opposite direction.

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Triangle Pin-down

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Use the interactivity to investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.

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A Dotty Problem

Stage: 2 Challenge Level: Challenge Level:1

Starting with the number 180, take away 9 again and again, joining up the dots as you go. Watch out - don't join all the dots!

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Noughts and Crosses

Stage: 2 Challenge Level: Challenge Level:1

A game for 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!

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100 Percent

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

An interactive game for 1 person. You are given a rectangle with 50 squares on it. Roll the dice to get a percentage between 2 and 100. How many squares is this? Keep going until you get 100. . . .

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Building Stars

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

An interactive activity for one to experiment with a tricky tessellation