# Resources tagged with: Visualising

Filter by: Content type:
Age range:
Challenge level:

### There are 255 results

Broad Topics > Thinking Mathematically > Visualising

### Cogs

##### Age 11 to 14Challenge Level

A and B are two interlocking cogwheels having p teeth and q teeth respectively. One tooth on B is painted red. Find the values of p and q for which the red tooth on B contacts every gap on the. . . .

### The Triangle Game

##### Age 11 to 16Challenge Level

Can you discover whether this is a fair game?

### Sliding Puzzle

##### Age 11 to 16Challenge Level

The aim of the game is to slide the green square from the top right hand corner to the bottom left hand corner in the least number of moves.

### World of Tan 13 - A Storm in a Tea Cup

##### Age 7 to 11Challenge Level

Can you fit the tangram pieces into the outlines of the convex shapes?

### Three Squares

##### Age 5 to 11Challenge Level

What is the greatest number of squares you can make by overlapping three squares?

### Colour Wheels

##### Age 7 to 11Challenge Level

Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?

### LOGO Challenge - Triangles-squares-stars

##### Age 11 to 16Challenge Level

Can you recreate these designs? What are the basic units? What movement is required between each unit? Some elegant use of procedures will help - variables not essential.

### Coded Hundred Square

##### Age 7 to 11Challenge Level

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

### Diminishing Returns

##### Age 11 to 14Challenge Level

How much of the square is coloured blue? How will the pattern continue?

### Counter Roundup

##### Age 7 to 11Challenge Level

A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.

### Waiting for Blast Off

##### Age 7 to 11Challenge Level

10 space travellers are waiting to board their spaceships. There are two rows of seats in the waiting room. Using the rules, where are they all sitting? Can you find all the possible ways?

### Single Track

##### Age 7 to 11Challenge Level

What is the best way to shunt these carriages so that each train can continue its journey?

### Shunting Puzzle

##### Age 7 to 11Challenge Level

Can you shunt the trucks so that the Cattle truck and the Sheep truck change places and the Engine is back on the main line?

### World of Tan 19 - A Circular Problem

##### Age 7 to 11Challenge Level

Can you fit the tangram pieces into the outline of this teacup?

### World of Tan 10 - Butterflies

##### Age 7 to 11Challenge Level

Can you fit the tangram pieces into the outline of the butterfly?

### How Would We Count?

##### Age 5 to 11Challenge Level

An activity centred around observations of dots and how we visualise number arrangement patterns.

### Counters

##### Age 7 to 11Challenge Level

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

### Seeing Squares

##### Age 5 to 11Challenge Level

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.

### World of Tan 17 - Weather

##### Age 7 to 11Challenge Level

Can you fit the tangram pieces into the outline of the house?

### World of Tan 16 - Time Flies

##### Age 7 to 11Challenge Level

Can you fit the tangram pieces into the outline of the candle?

### Isosceles Triangles

##### Age 11 to 14Challenge Level

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?

### Hidden Rectangles

##### Age 11 to 14Challenge Level

Rectangles are considered different if they vary in size or have different locations. How many different rectangles can be drawn on a chessboard?

##### Age 11 to 14Challenge Level

How many different symmetrical shapes can you make by shading triangles or squares?

### Endless Noughts and Crosses

##### Age 7 to 11Challenge Level

An extension of noughts and crosses in which the grid is enlarged and the length of the winning line can to altered to 3, 4 or 5.

### Sea Defences

##### Age 7 to 14Challenge Level

These are pictures of the sea defences at New Brighton. Can you work out what a basic shape might be in both images of the sea wall and work out a way they might fit together?

### Picturing Triangular Numbers

##### Age 11 to 14Challenge Level

Triangular numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?

### Twice as Big?

##### Age 7 to 11Challenge Level

Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.

### Right or Left?

##### Age 7 to 11Challenge Level

Which of these dice are right-handed and which are left-handed?

### World of Tan 21 - Almost There Now

##### Age 7 to 11Challenge Level

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

### Put Yourself in a Box

##### Age 7 to 11Challenge Level

A game for 2 players. Given a board of dots in a grid pattern, players take turns drawing a line by connecting 2 adjacent dots. Your goal is to complete more squares than your opponent.

### Khun Phaen Escapes to Freedom

##### Age 11 to 14Challenge Level

Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.

### Square It

##### Age 11 to 16Challenge Level

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.

### Cuboids

##### Age 11 to 14Challenge Level

Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?

### The Development of Spatial and Geometric Thinking: the Importance of Instruction.

##### Age 5 to 11

This article looks at levels of geometric thinking and the types of activities required to develop this thinking.

### World of Tan 3 - Mah Ling

##### Age 7 to 11Challenge Level

Can you fit the tangram pieces into the outline of Mah Ling?

### World of Tan 25 - Pentominoes

##### Age 7 to 11Challenge Level

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

### Jigsaw Pieces

##### Age 7 to 11Challenge Level

How will you go about finding all the jigsaw pieces that have one peg and one hole?

### World of Tan 29 - the Telephone

##### Age 7 to 11Challenge Level

Can you fit the tangram pieces into the outline of the telephone?

### Display Boards

##### Age 7 to 11Challenge Level

Design an arrangement of display boards in the school hall which fits the requirements of different people.

### World of Tan 5 - Dragon

##### Age 7 to 11Challenge Level

Can you fit the tangram pieces into the outline of the dragon?

### World of Tan 4 - Monday Morning

##### Age 7 to 11Challenge Level

Can you fit the tangram pieces into the outlines of Wai Ping, Wu Ming and Chi Wing?

### World of Tan

##### Age 5 to 11Challenge Level

Read about the adventures of Granma T and her grandchildren in this series of stories, accompanied by interactive tangrams.

### World of Tan 9 - Animals

##### Age 7 to 11Challenge Level

Can you fit the tangram pieces into the outlines of the camel and giraffe?

### World of Tan 30 - Logical Thinking

##### Age 7 to 11Challenge Level

Can you logically construct these silhouettes using the tangram pieces?

### World of Tan 8 - Sports Car

##### Age 7 to 11Challenge Level

Can you fit the tangram pieces into the outline of the sports car?

### World of Tan 20 - Fractions

##### Age 7 to 11Challenge Level

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

### World of Tan 12 - All in a Fluff

##### Age 7 to 11Challenge Level

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

### World of Tan 26 - Old Chestnut

##### Age 7 to 11Challenge Level

Can you fit the tangram pieces into the outline of the brazier for roasting chestnuts?

### World of Tan 1 - Granma T

##### Age 7 to 11Challenge Level

Can you fit the tangram pieces into the outline of Granma T?

### Go Moku

##### Age 7 to 11Challenge Level

A game for two players on a large squared space.