Visualising and Representing is part of our Thinking Mathematically collection.
The Number Jumbler
Treasure Hunt
Your number is...
Method in multiplying madness?
Remainders
Number Lines in Disguise
Visualising and Representing - Short Problems
Starting Fibonacci
Parallelogram It
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 parallelogram.
Your number was...
Perimeter Expressions
Reflecting Lines
Picturing Triangular Numbers
Picturing Square Numbers
Days and Dates
How far does it move?
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.
Translating Lines
What numbers can we make?
Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?
Semi-regular Tessellations
Growing Surprises
Diminishing Returns
Sieve of Eratosthenes
Island Hopping
Odds, Evens and More Evens
Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...
Polygon Pictures
Square It
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.
Round and round and round
Squares in a Square
Fence it
Constructing Triangles
Isosceles Triangles
Painted Octahedron
Frogs
Reflecting Squarely
Bishop's Paradise
Which of the statements about diagonals of polygons is false?
Fractions Rectangle
Potatoes
When I looked at the greengrocer's window I saw a sign. When I went in and looked from the other side, what did I see?
Printing Error
Shady Symmetry
Reflected Back
Searching for mean(ing)
Rolling Around
Quadratic Patterns
Rhombus It
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 rhombus.
Always a multiple?
Cuboid challenge
What's the largest volume of box you can make from a square of paper?
Quadrilaterals in a Square
Impossibilities
More Number Pyramids
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
Same Answer
Shear Magic
Opposite vertices
Can you recreate squares and rhombuses if you are only given a side or a diagonal?
Speeding up, slowing down
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.
Pythagoras Proofs
Can you make sense of these three proofs of Pythagoras' Theorem?
Seven Squares - Group-worthy Task
Fill Me Up
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
Counting Factors
Coordinate Patterns
Squares in rectangles
Tower of Hanoi
Legs Eleven
Route to infinity
On the Edge
Triangle Numbers
Funny Factorisation
Triathlon and Fitness
Doubly Symmetric
Don't Be Late
Marbles in a box
Integral Polygons
Blockupied
Hamiltonian Cube
Find the length along the shortest path passing through certain points on the cube.
Seven Squares
Same Face
Think of Two Numbers
Square coordinates
A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?
Stars
Night Watchmen
Turning N Over
Adjacent Factors
The Farmers' Field Boundary
Shapely pairs
A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...