Resources tagged with Visualising similar to Single Track:
Other tags that relate to Single Track
Tangram. Practical Activity. Working systematically. Interactivities. Investigations. Compound transformations. Combinations. Visualising. Cubes & cuboids. Addition & subtraction.There are 263 results
Broad Topics > Using, Applying and Reasoning about Mathematics > Visualising
Open Boxes
Age 7 to 11 Challenge 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?
Single Track
Age 7 to 11 Challenge Level:
What is the best way to shunt these carriages so that each train can continue its journey?
Shunting Puzzle
Age 7 to 11 Challenge 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?
Waiting for Blast Off
Age 7 to 11 Challenge 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?
Jigsaw Pieces
Age 7 to 11 Challenge Level:
How will you go about finding all the jigsaw pieces that have one peg and one hole?
Map Folding
Age 7 to 11 Challenge 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?
Display Boards
Age 7 to 11 Challenge Level:
Design an arrangement of display boards in the school hall which fits the requirements of different people.
Cuboid-in-a-box
Age 7 to 11 Challenge 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?
Knight's Swap
Age 7 to 11 Challenge Level:
Swap the stars with the moons, using only knights' moves (as on a chess board). What is the smallest number of moves possible?
Little Boxes
Age 7 to 11 Challenge Level:
How many different cuboids can you make when you use four CDs or DVDs? How about using five, then six?
Celtic Knot
Age 7 to 11 Challenge Level:
Building up a simple Celtic knot. Try the interactivity or download the cards or have a go on squared paper.
Putting Two and Two Together
Age 7 to 11 Challenge 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?
World of Tan 17 - Weather
Age 7 to 11 Challenge Level:
Can you fit the tangram pieces into the outlines of the watering can and man in a boat?
World of Tan 27 - Sharing
Age 7 to 11 Challenge Level:
Can you fit the tangram pieces into the outline of Little Fung at the table?
World of Tan 15 - Millennia
Age 7 to 11 Challenge Level:
Can you fit the tangram pieces into the outlines of the workmen?
World of Tan 14 - Celebrations
Age 7 to 11 Challenge Level:
Can you fit the tangram pieces into the outline of Little Ming and Little Fung dancing?
World of Tan 25 - Pentominoes
Age 7 to 11 Challenge Level:
Can you fit the tangram pieces into the outlines of these people?
World of Tan 26 - Old Chestnut
Age 7 to 11 Challenge Level:
Can you fit the tangram pieces into the outline of this brazier for roasting chestnuts?
Counting Cards
Age 7 to 11 Challenge 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?
Triple Cubes
Age 5 to 11 Challenge 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 28 - Concentrating on Coordinates
Age 7 to 11 Challenge Level:
Can you fit the tangram pieces into the outline of Little Ming playing the board game?
World of Tan 29 - the Telephone
Age 7 to 11 Challenge Level:
Can you fit the tangram pieces into the outline of this telephone?
Three Cubed
Age 7 to 11 Challenge Level:
Can you make a 3x3 cube with these shapes made from small cubes?
Paw Prints
Age 7 to 11 Challenge 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?
28 and It's Upward and Onward
Age 7 to 11 Challenge Level:
Can you find ways of joining cubes together so that 28 faces are visible?
Regular Rings 1
Age 7 to 11 Challenge Level:
Can you work out what shape is made by folding in this way? Why not create some patterns using this shape but in different sizes?
Two Squared
Age 7 to 11 Challenge Level:
What happens to the area of a square if you double the length of the sides? Try the same thing with rectangles, diamonds and other shapes. How do the four smaller ones fit into the larger one?
World of Tan 20 - Fractions
Age 7 to 11 Challenge Level:
Can you fit the tangram pieces into the outlines of the chairs?
World of Tan 19 - Working Men
Age 7 to 11 Challenge Level:
Can you fit the tangram pieces into the outline of this shape. How would you describe it?
World of Tan 21 - Almost There Now
Age 7 to 11 Challenge Level:
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
World of Tan 24 - Clocks
Age 7 to 11 Challenge Level:
Can you fit the tangram pieces into the outlines of these clocks?
World of Tan 22 - an Appealing Stroll
Age 7 to 11 Challenge Level:
Can you fit the tangram pieces into the outline of the child walking home from school?
Folding Flowers 1
Age 7 to 11 Challenge Level:
Can you visualise what shape this piece of paper will make when it is folded?
World of Tan 3 - Mai Ling
Age 7 to 11 Challenge Level:
Can you fit the tangram pieces into the outline of Mai Ling?
World of Tan 2 - Little Ming
Age 7 to 11 Challenge Level:
Can you fit the tangram pieces into the outline of Little Ming?
Folding Flowers 2
Age 7 to 11 Challenge Level:
Make a flower design using the same shape made out of different sizes of paper.
Painting Possibilities
Age 7 to 11 Challenge 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. . . .
World of Tan 1 - Granma T
Age 7 to 11 Challenge Level:
Can you fit the tangram pieces into the outline of Granma T?
Reef and Granny
Age 7 to 11 Challenge Level:
Have a look at what happens when you pull a reef knot and a granny knot tight. Which do you think is best for securing things together? Why?
Redblue
Age 7 to 11 Challenge Level:
Investigate the number of paths you can take from one vertex to another in these 3D shapes. Is it possible to take an odd number and an even number of paths to the same vertex?
Red Even
Age 7 to 11 Challenge Level:
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?
World of Tan 13 - A Storm in a Tea Cup
Age 7 to 11 Challenge Level:
Can you fit the tangram pieces into the outline of these convex shapes?
Fractional Triangles
Age 7 to 11 Challenge 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.
World of Tan 10 - Butterflies
Age 7 to 11 Challenge Level:
Can you use the interactive to complete the tangrams in the shape of butterflies?
Move Those Halves
Age 7 to 11 Challenge Level:
For this task, you'll need an A4 sheet and two A5 transparent sheets. Decide on a way of arranging the A5 sheets on top of the A4 sheet and explore ...
Hexpentas
Age 5 to 11 Challenge Level:
How many different ways can you find of fitting five hexagons together? How will you know you have found all the ways?
Making Maths: Rolypoly
Age 5 to 11 Challenge Level:
Paint a stripe on a cardboard roll. Can you predict what will happen when it is rolled across a sheet of paper?
Pyramid Numbers
Age 7 to 11 Challenge Level:
What are the next three numbers in this sequence? Can you explain why are they called pyramid numbers?
Folded Number Line
Age 7 to 11 Challenge Level:
When I fold a 0-20 number line, I end up with 'stacks' of numbers on top of each other. These challenges involve varying the length of the number line and investigating the 'stack totals'.
NRICH is part of the family of activities in the Millennium Mathematics Project.