Other tags that relate to Win or Lose?
Theoretical probability. GeoGebra. Mathematical modelling. Equally likely outcomes. Probability. Tree diagrams. Experimental probability. Interactivities. Conditional probability. Combining probabilities.There are 90 results
Broad Topics > Physical and Digital Manipulatives > GeoGebra
Which Spinners?
Age 14 to 18
Challenge Level
Can you work out which spinners were used to generate the frequency charts?
Interactive Spinners
Age 11 to 14
Challenge Level
This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.
What Does Random Look Like?
Age 11 to 14
Challenge Level
Engage in a little mathematical detective work to see if you can spot the fakes.
Mapping the Territory
Age 14 to 18
Challenge Level
Can you devise a system for making sense of complex multiplication?
Into the Wilderness
Age 14 to 18
Challenge Level
Let's go further and see what happens when we multiply two complex numbers together!
A Brief Introduction to the Argand Diagram
Age 14 to 18
Challenge Level
Complex numbers can be represented graphically using an Argand diagram. This problem explains more...
Surprising Equalities
Age 14 to 18
Challenge Level
Take any triangle, and construct squares on each of its sides. What do you notice about the areas of the new triangles formed?
Strolling Along
Age 14 to 18
Challenge Level
What happens when we multiply a complex number by a real or an imaginary number?
Points in Pairs
Age 14 to 16
Challenge Level
Move the point P to see how P' moves. Then use your insights to calculate a missing length.
Solving Together - Estimating Angles
Age 11 to 14
Week 2
How well can you estimate angles? Playing this game could improve your skills.
Where Is the Dot?
Age 14 to 16
Challenge Level
A dot starts at the point (1,0) and turns anticlockwise. Can you estimate the height of the dot after it has turned through 45 degrees? Can you calculate its height?
Exploring Diagonals
Age 11 to 16
Move the corner of the rectangle. Can you work out what the purple number represents?
Tilting Triangles
Age 14 to 16
Challenge Level
A right-angled isosceles triangle is rotated about the centre point of a square. What can you say about the area of the part of the square covered by the triangle as it rotates?
Beelines
Age 14 to 16
Challenge Level
Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?
Right Angles
Age 11 to 14
Challenge Level
Can you make a right-angled triangle on this peg-board by joining up three points round the edge?
Speeding Up, Slowing Down
Age 11 to 14
Challenge Level
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects its speed at each stage.
Triangles in Circles
Age 11 to 14
Challenge Level
Can you find triangles on a 9-point circle? Can you work out their angles?
Exploring Cubic Functions
Age 14 to 18
Challenge Level
Quadratic graphs are very familiar, but what patterns can you explore with cubics?
More Twisting and Turning
Age 11 to 16
Challenge Level
It would be nice to have a strategy for disentangling any tangled ropes...
Magic Potting Sheds
Age 11 to 14
Challenge Level
Mr McGregor has a magic potting shed. Overnight, the number of plants in it doubles. He'd like to put the same number of plants in each of three gardens, planting one garden each day. Can he do it?
At Right Angles
Age 14 to 16
Challenge Level
Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?
Triangle in a Triangle
Age 14 to 16
Challenge Level
Can you work out the fraction of the original triangle that is covered by the inner triangle?
Teddy Town
Age 5 to 14
Challenge Level
There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?
Squirty
Age 14 to 16
Challenge Level
Using a ruler, pencil and compasses only, it is possible to construct a square inside any triangle so that all four vertices touch the sides of the triangle.
Shear Magic
Age 11 to 14
Challenge Level
Explore the area of families of parallelograms and triangles. Can you find rules to work out the areas?
Subtended Angles
Age 11 to 14
Challenge Level
What is the relationship between the angle at the centre and the angles at the circumference, for angles which stand on the same arc? Can you prove it?
Tessellation Interactivity
Age 7 to 16
Challenge Level
An environment that enables you to investigate tessellations of regular polygons
Square Coordinates
Age 11 to 14
Challenge Level
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?
Up and Across
Age 11 to 14
Challenge Level
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.
How Far Does it Move?
Age 11 to 14
Challenge Level
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects the distance it travels at each stage.
Rolling Around
Age 11 to 14
Challenge Level
A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square. Can you describe the locus of the centre of the circle?
Pythagoras Proofs
Age 14 to 16
Challenge Level
Can you make sense of these three proofs of Pythagoras' Theorem?
Areas from Vectors
Age 11 to 16
Use the applet to explore the area of a parallelogram and how it relates to vectors.
Coordinates of Corners
Age 11 to 16
Use the applet to make some squares. What patterns do you notice in the coordinates?
Napoleon's Theorem
Age 14 to 18
Challenge Level
Triangle ABC has equilateral triangles drawn on its edges. Points P, Q and R are the centres of the equilateral triangles. What can you prove about the triangle PQR?
Just Rolling Round
Age 14 to 16
Challenge Level
P is a point on the circumference of a circle radius r which rolls, without slipping, inside a circle of radius 2r. What is the locus of P?
Translating Lines
Age 11 to 14
Challenge Level
Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.
Factor Lines
Age 7 to 14
Challenge Level
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Reflecting Lines
Age 11 to 14
Challenge Level
Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.
Arrowhead
Age 14 to 16
Challenge Level
The points P, Q, R and S are the midpoints of the edges of a non-convex quadrilateral.What do you notice about the quadrilateral PQRS and its area?
Squaring the Circle and Circling the Square
Age 14 to 16
Challenge Level
If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.
Guesswork
Age 14 to 16
Challenge Level
Ask a friend to choose a number between 1 and 63. By identifying which of the six cards contains the number they are thinking of it is easy to tell them what the number is.
Reflecting Squarely
Age 11 to 14
Challenge Level
In how many ways can you fit all three pieces together to make shapes with line symmetry?
The Farmers' Field Boundary
Age 11 to 14
Challenge Level
The farmers want to redraw their field boundary but keep the area the same. Can you advise them?
Pegboard Quads
Age 14 to 16
Challenge Level
Make five different quadrilaterals on a nine-point pegboard, without using the centre peg. Work out the angles in each quadrilateral you make. Now, what other relationships you can see?
Round and Round and Round
Age 11 to 14
Challenge Level
Where will the point stop after it has turned through 30 000 degrees? I took out my calculator and typed 30 000 ÷ 360. How did this help?
Partitioning Revisited
Age 11 to 14
Challenge Level
We can show that (x + 1)² = x² + 2x + 1 by considering the area of an (x + 1) by (x + 1) square. Show in a similar way that (x + 2)² = x² + 4x + 4
Farey Sequences
Age 11 to 14
Challenge Level
There are lots of ideas to explore in these sequences of ordered fractions.
NRICH is part of the family of activities in the Millennium Mathematics Project.