M1Maths.com banner

M1Maths

Maths Assignments

This is the beginnings of a collection of extended maths tasks on a range of topics at a high school level, particularly senior high school.

In many cases they are accompanied by model worked solutions.

They might be useful for practice, reinforcement of ideas or assessment.

Levels

Topics

Summary

Download

Level 6
Years 11-12

MacLaurin series, calculus, complex numbers

Generating MacLaurin series by repeated differentiation; application to complex numbers.

pdf     docx

Level 6
Years 11-12

Combinatorics, number theory

Students flutter decks of cards of various sizes and investigate the number of flutters required to return he deck to the original order.

pdf     docx

Level 6
Years 11-12

Calculus, air resistance, numerical methods

Students use numerical methods to calculate trajectories with and without air resistance.

pdf     docx

xlsx

Level 6
Years 11-12

Complex numbers, fractals

Students perform iterations of operations on the complex plane as an introduction to fractals.

pdf     docx

Background image: https://pixabay.com/illustrations/beach-background-sea-ocean-3892386/ (cropped) (Creative Commons licence)