Other tags that relate to Hexagon Transformations
Regular polygons and circles. Quadrilaterals. Cubes & cuboids. Tangram. Investigations. Working systematically. 2D shapes and their properties. Triangles. Practical Activity. Visualising.There are 342 results
Broad Topics > Thinking Mathematically > Working systematically
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?
Count the Trapeziums
Age 7 to 11
Challenge Level
How many trapeziums, of various sizes, are hidden in this picture?
Egyptian Rope
Age 7 to 11
Challenge Level
The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?
Two by One
Age 7 to 11
Challenge Level
An activity making various patterns with 2 x 1 rectangular tiles.
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?
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?
Making Cuboids
Age 7 to 11
Challenge Level
Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?
Numerically Equal
Age 7 to 11
Challenge Level
Can you draw a square in which the perimeter is numerically equal to the area?
Sweets in a Box
Age 7 to 11
Challenge Level
How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?
Cereal Packets
Age 7 to 11
Challenge Level
How can you put five cereal packets together to make different shapes if you must put them face-to-face?
Quadrilaterals
Age 7 to 11
Challenge Level
How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?
Nine-pin Triangles
Age 7 to 11
Challenge Level
How many different triangles can you make on a circular pegboard that has nine pegs?
Uncanny Triangles
Age 7 to 11
Challenge Level
Can you help the children find the two triangles which have the lengths of two sides numerically equal to their areas?
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?
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?
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.
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?
Three Sets of Cubes, Two Surfaces
Age 7 to 11
Challenge Level
How many models can you find which obey these rules?
Tri-five
Age 7 to 11
Challenge Level
Find all the different shapes that can be made by joining five equilateral triangles edge to edge.
Cover the Tray
Age 7 to 11
Challenge Level
These practical challenges are all about making a 'tray' and covering it with paper.
LOGO Challenge - Following On
Age 11 to 18
Challenge Level
Remember that you want someone following behind you to see where you went. Can yo work out how these patterns were created and recreate them?
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?
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.
Brush Loads
Age 7 to 11
Challenge Level
How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.
Is a Square a Rectangle?
Age 7 to 11
Challenge Level
How many rectangles can you find in this shape? Which ones are differently sized and which are 'similar'?
Multilink Cubes
Age 7 to 11
Challenge Level
If you had 36 cubes, what different cuboids could you make?
Sticks and Triangles
Age 7 to 11
Challenge Level
Using different numbers of sticks, how many different triangles are you able to make? Can you make any rules about the numbers of sticks that make the most triangles?
Whose Face?
Age 5 to 11
Challenge Level
These are the faces of Will, Lil, Bill, Phil and Jill. Use the clues to work out which name goes with each face.
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?
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?
Triangles All Around
Age 7 to 11
Challenge Level
Can you find all the different triangles on these peg boards, and find their angles?
Four Colours
Age 5 to 11
Challenge Level
Kate has eight multilink cubes. She has two red ones, two yellow, two green and two blue. She wants to fit them together to make a cube so that each colour shows on each face just once.
Ancient Runes
Age 7 to 11
Challenge Level
The Vikings communicated in writing by making simple scratches on wood or stones called runes. Can you work out how their code works using the table of the alphabet?
Calendar Cubes
Age 7 to 11
Challenge Level
Make a pair of cubes that can be moved to show all the days of the month from the 1st to the 31st.
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?
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. . . .
Creating Cubes
Age 7 to 11
Challenge Level
Arrange 9 red cubes, 9 blue cubes and 9 yellow cubes into a large 3 by 3 cube. No row or column of cubes must contain two cubes of the same colour.
Shapes on the Playground
Age 7 to 11
Challenge Level
Sally and Ben were drawing shapes in chalk on the school playground. Can you work out what shapes each of them drew using the clues?
More and More Buckets
Age 7 to 11
Challenge Level
In this challenge, buckets come in five different sizes. If you choose some buckets, can you investigate the different ways in which they can be filled?
Roll These Dice
Age 7 to 11
Challenge Level
Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?
Wag Worms
Age 7 to 11
Challenge Level
When intergalactic Wag Worms are born they look just like a cube. Each year they grow another cube in any direction. Find all the shapes that five-year-old Wag Worms can be.
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?
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?
How Many Times?
Age 7 to 11
Challenge Level
On a digital 24 hour clock, at certain times, all the digits are consecutive. How many times like this are there between midnight and 7 a.m.?
Seating Arrangements
Age 7 to 11
Challenge Level
Sitting around a table are three girls and three boys. Use the clues to work out were each person is sitting.
Two Dots
Age 7 to 11
Challenge Level
Place eight dots on this diagram, so that there are only two dots on each straight line and only two dots on each circle.
Team Scream
Age 7 to 11
Challenge Level
Seven friends went to a fun fair with lots of scary rides. They decided to pair up for rides until each friend had ridden once with each of the others. What was the total number rides?
Make Pairs
Age 7 to 11
Challenge Level
Put 10 counters in a row. Find a way to arrange the counters into five pairs, evenly spaced in a row, in just 5 moves, using the rules.
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?
NRICH is part of the family of activities in the Millennium Mathematics Project.