Monthly Archives: April 2024

Sketching Subsets of the Complex Plane – Problem 2

I found this question on the madasmaths site – his resources are fabulous.

I am not sure I would have been able to do this in an exam.

I have split my solution into 6 images and there is a pdf version at the bottom

PDF version of my solution

Leave a Comment

Filed under Complex Numbers, Sketching Complex Regions

Divisibility Rules – Integers 1 to 10

I think it’s useful to knot the divisibility rules, at least up to ten. Although, let’s face it, 7 is a bit tricky.

Divisibility Rules pdf

Leave a Comment

Filed under Arithmetic, Divisibility

Integrating by Trigonometric Substitution

Integrating by using a trigonometric substitution can be quite trick for some students.

For example, this question from OCR 4726 June 2009 Question 6

Trig Substitution Notes

PDF version of the above solution

Leave a Comment

Filed under Integration, Trigonometric Substitution

Factorising Non-Monic Trinomials

I factorise trinomials by using the grouping method, I will show you what I mean

But one of my students showed me a different way

I have put in more steps than is necessary. I think this might be a quicker method.

Leave a Comment

Filed under Factorising, Quadratics