Other tags that relate to Cylinder Cutting
Practical Activity. Area - squares and rectangles. Investigations. GeoGebra. Visualising. Volume and capacity. Spheres, cylinders & cones. Working systematically. Perimeter. Angles - points, lines and parallel lines.There are 342 results
Broad Topics > Thinking Mathematically > Working systematically
Making Boxes
Age 7 to 11
Challenge Level
Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?
Numerically Equal
Age 7 to 11
Challenge Level
Can you draw a square in which the perimeter is numerically equal to the area?
Fencing Lambs
Age 7 to 11
Challenge Level
A thoughtful shepherd used bales of straw to protect the area around his lambs. Explore how you can arrange the bales.
More Transformations on a Pegboard
Age 7 to 11
Challenge Level
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
Polydron
Age 7 to 11
Challenge Level
This activity investigates how you might make squares and pentominoes from Polydron.
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?
Torn Shapes
Age 7 to 11
Challenge Level
These rectangles have been torn. How many squares did each one have inside it before it was ripped?
Dicey Perimeter, Dicey Area
Age 7 to 11
Challenge Level
In this game for two players, you throw two dice and find the product. How many shapes can you draw on the grid which have that area or perimeter?
Crossing the Town Square
Age 7 to 11
Challenge Level
This tricky challenge asks you to find ways of going across rectangles, going through exactly ten squares.
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?
Area and Perimeter
Age 7 to 11
Challenge Level
What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.
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?
Square Corners
Age 7 to 11
Challenge 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?
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?
Cover the Tray
Age 7 to 11
Challenge Level
These practical challenges are all about making a 'tray' and covering it with 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?
Nine-pin Triangles
Age 7 to 11
Challenge Level
How many different triangles can you make on a circular pegboard that has nine pegs?
Quadrilaterals
Age 7 to 11
Challenge Level
How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?
Making Squares
Age 7 to 11
Investigate all the different squares you can make on this 5 by 5 grid by making your starting side go from the bottom left hand point. Can you find out the areas of all these squares?
Geoboards
Age 7 to 11
Challenge Level
This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.
Multilink Cubes
Age 7 to 11
Challenge Level
If you had 36 cubes, what different cuboids could you make?
Through the Window
Age 7 to 11
Challenge Level
My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?
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?
Ribbon Squares
Age 7 to 11
Challenge Level
What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?
Four Triangles Puzzle
Age 5 to 11
Challenge 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?
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.
Peg and Pin Boards
Age 5 to 11
This article for teachers suggests activities based on pegboards, from pattern generation to finding all possible triangles, for example.
Tiles on a Patio
Age 7 to 11
Challenge Level
How many ways can you find of tiling the square patio, using square tiles of different sizes?
My New Patio
Age 7 to 11
Challenge Level
What is the smallest number of tiles needed to tile this patio? Can you investigate patios of different sizes?
Rod Area
Age 7 to 11
This task challenges you to create symmetrical U shapes out of rods and find their areas.
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?
Three Way Mix Up
Age 5 to 11
Challenge Level
Jack has nine tiles. He put them together to make a square so that two tiles of the same colour were not beside each other. Can you find another way to do it?
New House
Age 7 to 11
Challenge Level
In this investigation, you must try to make houses using cubes. If the base must not spill over 4 squares and you have 7 cubes which stand for 7 rooms, what different designs can you come up with?
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'.
3 Rings
Age 7 to 11
Challenge Level
If you have three circular objects, you could arrange them so that they are separate, touching, overlapping or inside each other. Can you investigate all the different possibilities?
Dice Stairs
Age 7 to 11
Challenge Level
Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?
Arrangements
Age 7 to 11
Challenge Level
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....?
Eight Queens
Age 7 to 11
Challenge Level
Place eight queens on an chessboard (an 8 by 8 grid) so that none can capture any of the others.
Shaping Up
Age 7 to 11
Challenge Level
Are all the possible combinations of two shapes included in this set of 27 cards? How do you know?
Two on Five
Age 5 to 11
Challenge Level
Take 5 cubes of one colour and 2 of another colour. How many different ways can you join them if the 5 must touch the table and the 2 must not touch the table?
Room Doubling
Age 7 to 11
Challenge Level
Investigate the different ways you could split up these rooms so that you have double the number.
Stairs
Age 5 to 11
Challenge Level
This challenge is to design different step arrangements, which must go along a distance of 6 on the steps and must end up at 6 high.
Tiling
Age 7 to 11
Challenge Level
An investigation that gives you the opportunity to make and justify predictions.
Dodecamagic
Age 7 to 11
Challenge Level
Here you see the front and back views of a dodecahedron. Each vertex has been numbered so that the numbers around each pentagonal face add up to 65. Can you find all the missing numbers?
Ice Cream
Age 7 to 11
Challenge Level
You cannot choose a selection of ice cream flavours that includes totally what someone has already chosen. Have a go and find all the different ways in which seven children can have ice cream.
Cubes Here and There
Age 7 to 11
Challenge Level
How many shapes can you build from three red and two green cubes? Can you use what you've found out to predict the number for four red and two green?
Difference
Age 7 to 11
Challenge Level
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
The Third Dimension
Age 5 to 11
Challenge Level
Here are four cubes joined together. How many other arrangements of four cubes can you find? Can you draw them on dotty paper?
Chocs, Mints, Jellies
Age 7 to 11
Challenge Level
In a bowl there are 4 Chocolates, 3 Jellies and 5 Mints. Find a way to share the sweets between the three children so they each get the kind they like. Is there more than one way to do it?
Triangles All Around
Age 7 to 11
Challenge Level
Can you find all the different triangles on these peg boards, and find their angles?
NRICH is part of the family of activities in the Millennium Mathematics Project.