Pumpkin Patch
Seega
Alquerque
Introducing NRICH TWILGO
Like a Circle in a Spiral
Air Nets
Fruity Totals
In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?
Clocking off
Prime Magic
The Bridges of Konigsberg
Shaping the universe I - planet Earth
Semi-regular Tessellations
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
Yih or Luk tsut k'i or Three Men's Morris
Shaping the universe II - the solar system
Funny Factorisation
Sprouts
What's it worth?
There are lots of different methods to find out what the shapes are worth - how many can you find?
Shaping the universe III - to infinity and beyond
LOGO Challenge - Circles as animals
Instant Insanity
Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.
Nine Colours
LOGO Challenge - Triangles-Squares-Stars
Triangles in the middle
Searching for mean(ing)
Hamiltonian Cube
Find the length along the shortest path passing through certain points on the cube.
Take Three From Five
Caroline and James pick sets of five numbers. Charlie tries to find three that add together to make a multiple of three. Can they stop him?
Cuboid Challenge
What's the largest volume of box you can make from a square of paper?
Pythagoras Proofs
Can you make sense of these three proofs of Pythagoras' Theorem?
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.
Charlie's delightful machine
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
Charting success
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.
Charting more success
What is the question?
Sliding Puzzle
Ding Dong Bell
Marbles in a box
Slick Summing
Watch the video to see how Charlie works out the sum. Can you adapt his method?
When the angles of a triangle don't add up to 180 degrees
Which is cheaper?
Natural Sum
Relative Time
Negatively Triangular
How many intersections do you expect from four straight lines ? Which three lines enclose a triangle with negative co-ordinates for every point ?
Attractive Tablecloths
Painted Purple
The Spider and the Fly
Which is bigger?
Eulerian
Which of the five diagrams below could be drawn without taking the pen off the page and without drawing along a line already drawn?
Tennis Training
Partly Painted Cube
All Tied Up
Platonic Planet
Pyramidal n-gon
Out of the Window
Cubic Covering
In or Out?
Four arcs are drawn in a circle to create a shaded area. What fraction of the area of the circle is shaded?
Around and Back
Packing 3D shapes
Vector journeys
Trisected Triangle
Four tiles are given. For which of them can three be placed together to form an equilateral triangle?
Jam
To avoid losing think of another very well known game where the patterns of play are similar.
Just rolling round
Bus Stop
Factorising with Multilink
Dating made Easier
Quadratic Patterns
Surprising numerical patterns can be explained using algebra and diagrams...
Wari
Terminology
Coke machine
Inside Out
There are 27 small cubes in a 3 x 3 x 3 cube, 54 faces being visible at any one time. Is it possible to reorganise these cubes so that by dipping the large cube into a pot of paint three times you can colour every face of all of the smaller cubes?
What's that graph?
Can you work out which processes are represented by the graphs?
Doesn't add up
In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?
Pythagoras Perimeters
Gnomon dimensions
A question of scale
Back fitter
10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?
Surprising Transformations
I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?