Making and Testing Hypotheses - August 2008, All Stages

Problems

problem icon

Logic Block Collections

Stage: 1 Challenge Level: Challenge Level:1

What do you think is the same about these two Logic Blocks? What others do you think go with them in the set?

problem icon

Shapes in the Alphabet

Stage: 1 Challenge Level: Challenge Level:1

In this problem, we're going to find sets of letter shapes that go together.

problem icon

Cubes Here and There

Stage: 2 Challenge Level: Challenge Level:1

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?

problem icon

Tiling

Stage: 2 Challenge Level: Challenge Level:1

An investigation that gives you the opportunity to make and justify predictions.

problem icon

Reaction Timer

Stage: 3 Challenge Level: Challenge Level:1

This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.

problem icon

In the Bag

Stage: 3 Challenge Level: Challenge Level:1

Can you guess the colours of the 10 marbles in the bag? Can you develop an effective strategy for reaching 1000 points in the least number of rounds?

problem icon

Gr8 Coach

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Can you coach your rowing eight to win?

problem icon

Ishango Bone

Stage: 2, 3, 4 and 5 Short Challenge Level: Challenge Level:1

Can you decode the mysterious markings on this ancient bone tool?

problem icon

Rotating Triangle

Stage: 3 and 4 Challenge Level: Challenge Level:1

What happens to the perimeter of triangle ABC as the two smaller circles change size and roll around inside the bigger circle?

problem icon

Snow and Cholera

Stage: 4 Challenge Level: Challenge Level:1

What information helped medical pioneers decide on the cause of a disease? Especially in a time before microscopes were as powerful as they are today ?

problem icon

Counting Fish

Stage: 4 Challenge Level: Challenge Level:1

I need a figure for the fish population in a lake, how does it help to catch and mark 40 fish ?

problem icon

Babylon Numbers

Stage: 3, 4 and 5 Challenge Level: Challenge Level:1

Can you make a hypothesis to explain these ancient numbers?

problem icon

Cyclic Quads

Stage: 4 Challenge Level: Challenge Level:1

Points D, E and F are on the the sides of triangle ABC. Circumcircles are drawn to the triangles ADE, BEF and CFD respectively. What do you notice about these three circumcircles?

problem icon

Olympic Magic

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

in how many ways can you place the numbers 1, 2, 3 … 9 in the nine regions of the Olympic Emblem (5 overlapping circles) so that the amount in each ring is the same?

problem icon

Quads

Stage: 4 and 5 Challenge Level: Challenge Level:2 Challenge Level:2

The circumcentres of four triangles are joined to form a quadrilateral. What do you notice about this quadrilateral as the dynamic image changes? Can you prove your conjecture?

problem icon

Reaction Timer Timer

Stage: 5 Challenge Level: Challenge Level:1

How can you time the reaction timer?

problem icon

Least of All

Stage: 5 Challenge Level: Challenge Level:1

A point moves on a line segment. A function depends on the position of the point. Where do you expect the point to be for a minimum of this function to occur.

problem icon

Spot the Difference

Stage: 5 Short Challenge Level: Challenge Level:2 Challenge Level:2

If you plot these graphs they may look the same, but are they?

problem icon

Pattern Recognition

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

When does a pattern start to exhibit structure? Can you crack the code used by the computer?