Number - September 2007, Stage 4&5

Problems

problem icon

Napier's Location Arithmetic

Stage: 4 Challenge Level: Challenge Level:1

Have you seen this way of doing multiplication ?

problem icon

Expenses

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

What is the largest number which, when divided into 1905, 2587, 3951, 7020 and 8725 in turn, leaves the same remainder each time?

problem icon

Interactive Number Patterns

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

How good are you at finding the formula for a number pattern ?

problem icon

Two and Four Dimensional Numbers

Stage: 5 Challenge Level: Challenge Level:1

Investigate matrix models for complex numbers and quaternions.

problem icon

Quaternions and Rotations

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

Find out how the quaternion function G(v) = qvq^-1 gives a simple algebraic method for working with rotations in 3-space.

problem icon

Quaternions and Reflections

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

See how 4 dimensional quaternions involve vectors in 3-space and how the quaternion function F(v) = nvn gives a simple algebraic method of working with reflections in planes in 3-space.