Resources tagged with: Visualising

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Broad Topics > Thinking Mathematically > Visualising

Display Boards

Age 7 to 11Challenge Level

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

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?

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?

Jigsaw Pieces

Age 7 to 11Challenge Level

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

Open Boxes

Age 7 to 11Challenge Level

Can you work out how many cubes were used to make this open box? What size of open box could you make if you had 112 cubes?

Cover the Camel

Age 5 to 7Challenge Level

Can you cover the camel with these pieces?

Knight's Swap

Age 7 to 11Challenge Level

Swap the stars with the moons, using only knights' moves (as on a chess board). What is the smallest number of moves possible?

Map Folding

Age 7 to 11Challenge Level

Take a rectangle of paper and fold it in half, and half again, to make four smaller rectangles. How many different ways can you fold it up?

Square Corners

Age 7 to 11Challenge Level

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

Age 7 to 11Challenge Level

How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

Four Triangles Puzzle

Age 5 to 11Challenge Level

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?

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.

Neighbours

Age 7 to 11Challenge Level

In a square in which the houses are evenly spaced, numbers 3 and 10 are opposite each other. What is the smallest and what is the largest possible number of houses in the square?

Routes 1 and 5

Age 5 to 7Challenge Level

Find your way through the grid starting at 2 and following these operations. What number do you end on?

Hexpentas

Age 5 to 11Challenge Level

How many different ways can you find of fitting five hexagons together? How will you know you have found all the ways?

Change Around

Age 5 to 7Challenge Level

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

Putting Two and Two Together

Age 7 to 11Challenge Level

In how many ways can you fit two of these yellow triangles together? Can you predict the number of ways two blue triangles can be fitted together?

Seeing Squares for Two

Age 5 to 11Challenge Level

Seeing Squares game for an adult and child. Can you come up with a way of always winning this game?

Cuboid-in-a-box

Age 7 to 11Challenge Level

What is the smallest cuboid that you can put in this box so that you cannot fit another that's the same into it?

Taking Steps

Age 7 to 11Challenge Level

In each of the pictures the invitation is for you to: Count what you see. Identify how you think the pattern would continue.

Teddy Bear Line-up

Age 5 to 7Challenge Level

What is the least number of moves you can take to rearrange the bears so that no bear is next to a bear of the same colour?

Painting Possibilities

Age 7 to 11Challenge Level

This task, written for the National Young Mathematicians' Award 2016, involves open-topped boxes made with interlocking cubes. Explore the number of units of paint that are needed to cover the boxes. . . .

Nine-pin Triangles

Age 7 to 11Challenge Level

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

Tangram Tangle

Age 5 to 7Challenge Level

If you split the square into these two pieces, it is possible to fit the pieces together again to make a new shape. How many new shapes can you make?

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?

Paw Prints

Age 7 to 11Challenge Level

A dog is looking for a good place to bury his bone. Can you work out where he started and ended in each case? What possible routes could he have taken?

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?

Fractional Triangles

Age 7 to 11Challenge Level

Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

Counting Cards

Age 7 to 11Challenge Level

A magician took a suit of thirteen cards and held them in his hand face down. Every card he revealed had the same value as the one he had just finished spelling. How did this work?

Little Boxes

Age 7 to 11Challenge Level

How many different cuboids can you make when you use four CDs or DVDs? How about using five, then six?

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?

Dragons and Swans

Age 5 to 7Challenge Level

A game for two players. You'll need some counters.

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.

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.

Right or Left?

Age 7 to 11Challenge Level

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

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.

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.

More Pebbles

Age 7 to 11Challenge Level

Have a go at this 3D extension to the Pebbles problem.

Painted Faces

Age 7 to 11Challenge Level

Imagine a 3 by 3 by 3 cube made of 9 small cubes. Each face of the large cube is painted a different colour. How many small cubes will have two painted faces? Where are they?

Triple Cubes

Age 5 to 11Challenge Level

This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.

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 7 - Golden Goose

Age 7 to 11Challenge Level

Can you fit the tangram pieces into the outline of the plaque design?

World of Tan 6 - Junk

Age 7 to 11Challenge Level

Can you fit the tangram pieces into the silhouette of the junk?

World of Tan 18 - Soup

Age 7 to 11Challenge Level

Can you fit the tangram pieces into the outlines of Mah Ling and Chi Wing?

World of Tan 28 - Concentrating on Coordinates

Age 7 to 11Challenge Level

Can you fit the tangram pieces into the outline of the playing piece?

World of Tan 24 - Clocks

Age 7 to 11Challenge Level

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

World of Tan 1 - Granma T

Age 7 to 11Challenge Level

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

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?