Other tags that relate to Making Shapes
Working systematically. Factors and multiples. Addition & subtraction. Games. Interactivities. Practical Activity. Odd and even numbers. 2D shapes and their properties. Counters. Visualising.There are 154 results
Broad Topics > Using, Applying and Reasoning about Mathematics > Practical Activity
Seven Flipped
Age 7 to 11 Challenge Level:
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
Making Maths: Double-sided Magic Square
Age 7 to 14 Challenge Level:
Make your own double-sided magic square. But can you complete both sides once you've made the pieces?
Making Sticks
Age 5 to 7 Challenge Level:
Kimie and Sebastian were making sticks from interlocking cubes and lining them up. Can they make their lines the same length? Can they make any other lines?
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?
Dienes' Logiblocs
Age 5 to 7 Challenge Level:
This problem focuses on Dienes' Logiblocs. What is the same and what is different about these pairs of shapes? Can you describe the shapes in the picture?
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?
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?
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.
Two by One
Age 7 to 11 Challenge Level:
An activity making various patterns with 2 x 1 rectangular tiles.
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?
Clapping Times
Age 5 to 7 Challenge Level:
If you count from 1 to 20 and clap more loudly on the numbers in the two times table, as well as saying those numbers loudly, which numbers will be loud?
Building Patterns
Age 7 to 11 Challenge Level:
Can you deduce the pattern that has been used to lay out these bottle tops?
Making Maths: Happy Families
Age 5 to 11 Challenge Level:
Here is a version of the game 'Happy Families' for you to make and play.
Counting Counters
Age 7 to 11 Challenge Level:
Take a counter and surround it by a ring of other counters that MUST touch two others. How many are needed?
Cuisenaire Squares
Age 7 to 11 Challenge Level:
These squares have been made from Cuisenaire rods. Can you describe the pattern? What would the next square look like?
Pairs of Numbers
Age 5 to 7 Challenge Level:
If you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which ones do you have to leave out? Why?
Cover the Tray
Age 7 to 11 Challenge Level:
These practical challenges are all about making a 'tray' and covering it with paper.
Sports Equipment
Age 7 to 11 Challenge Level:
If these balls are put on a line with each ball touching the one in front and the one behind, which arrangement makes the shortest line of balls?
Factors and Multiples Game for Two
Age 7 to 14 Challenge Level:
Factors and Multiples game for an adult and child. How can you make sure you win this game?
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?
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?
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?
Animated Triangles
Age 5 to 7 Challenge Level:
Watch this "Notes on a Triangle" film. Can you recreate parts of the film using cut-out triangles?
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?
It's a Tie
Age 7 to 11 Challenge Level:
Kaia is sure that her father has worn a particular tie twice a week in at least five of the last ten weeks, but her father disagrees. Who do you think is right?
Sea Defences
Age 7 to 14 Challenge 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?
Making Maths: Birds from an Egg
Age 7 to 11 Challenge Level:
Can you make the birds from the egg tangram?
Tangram Pictures
Age 5 to 14 Challenge Level:
Use the tangram pieces to make our pictures, or to design some of your own!
A City of Towers
Age 5 to 7 Challenge Level:
In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?
Three Sets of Cubes, Two Surfaces
Age 7 to 11 Challenge Level:
How many models can you find which obey these rules?
Tricky Triangles
Age 5 to 7 Challenge Level:
Use the three triangles to fill these outline shapes. Perhaps you can create some of your own shapes for a friend to fill?
Rearrange the Square
Age 5 to 7 Challenge Level:
We can cut a small triangle off the corner of a square and then fit the two pieces together. Can you work out how these shapes are made from the two pieces?
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?
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.
Regular Rings 2
Age 7 to 11 Challenge Level:
What shape is made when you fold using this crease pattern? Can you make a ring design?
Paper Patchwork 1
Age 5 to 7 Challenge Level:
Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?
Paper Patchwork 2
Age 5 to 7 Challenge Level:
Have a go at making a few of these shapes from paper in different sizes. What patterns can you create?
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?
Shapely Lines
Age 5 to 7 Challenge Level:
This challenge invites you to create your own picture using just straight lines. Can you identify shapes with the same number of sides and decorate them in the same way?
Two-digit Targets
Age 5 to 7 Challenge Level:
You have a set of the digits from 0 – 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?
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?
Order the Changes
Age 7 to 11 Challenge Level:
Can you order pictures of the development of a frog from frogspawn and of a bean seed growing into a plant?
Paper Partners
Age 5 to 7 Challenge Level:
Can you describe a piece of paper clearly enough for your partner to know which piece it is?
Making Maths: Snake Pits
Age 5 to 14 Challenge Level:
A game to make and play based on the number line.
Hexagon Transformations
Age 7 to 11 Challenge Level:
Can you cut a regular hexagon into two pieces to make a parallelogram? Try cutting it into three pieces to make a rhombus!
Rectangles with Dominoes
Age 5 to 7 Challenge Level:
Can you make a rectangle with just 2 dominoes? What about 3, 4, 5, 6, 7...?
Three Fingers and a Loop of String
Age 5 to 7 Challenge Level:
Using a loop of string stretched around three of your fingers, what different triangles can you make? Draw them and sort them into groups.
Music to My Ears
Age 7 to 11 Challenge Level:
Can you predict when you'll be clapping and when you'll be clicking if you start this rhythm? How about when a friend begins a new rhythm at the same time?
Tessellating Capitals
Age 5 to 7 Challenge Level:
Have you ever tried tessellating capital letters? Have a look at these examples and then try some for yourself.
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?
NRICH is part of the family of activities in the Millennium Mathematics Project.