# A-level

A-level Maths (English curriculum)

## Straight line graphs Part 2

This tutorial follows on from “Working with a coordinate grid” and “Straight line graphs Part 1“. We’ve covered the basics of straight line graphs – enough to get you up to about Grade 3/4 level at GCSE – and now…

## What does “Integration as the limit of a sum” mean?

The English A-level Maths specification includes “integration as the limit of a sum” and “Fundamental Theorem of Calculus”. This article explains these expressions. Using strips to estimate the area under a curve To estimate the area under a curve, we…

## Straight line graphs Part 1

This tutorial follows on from “Working with a coordinate grid“, where we covered plotting coordinate points and the equations of vertical and horizontal lines. We’re now moving on to look at plotting other straight line graphs, and understanding the general…

## Hypothesis testing for Normal (A-level Maths)

This is part 2 of my series of three articles on hypothesis testing for A-level Maths. The first part can be found here; it gives an introduction to the concept of hypothesis testing and covers the Year 1 topic of…

## More graph transformations

This is Part 2 of what will eventually be a three-part tutorial on graph transformations; Part 1 can be found here. If you haven’t already worked through Part 1 then I recommend you look at it before trying to make…

## Graph transformations for GCSE and A-level Maths (Part 1)

In my tutoring, the topic of graph transformations is one that almost every Higher GCSE, IGCSE or A-level student wants to spend time on, so I thought I’d use it as the subject of a series of blog posts /…

## Hypothesis testing for Binomial (A-level Maths)

In the first year of the A-level Maths course you need to be able to carry out a hypothesis test to judge whether a Binomial probability has (probably) changed. In the second year, hypothesis tests are required (1) to decide…

## Working with double angle formulae (A-level Maths)

The A-level Maths specification requires you to work with formulae for compound angles – sin (A ± B), cos (A ± B), tan (A ± B) – and use these to derive and use a range of double angle formulae,…

## Using Ratio mode on your Classwiz calculator

All the Casio Classwiz calculator models – both the original “X” and the new “CW” models – feature ratio mode, which didn’t exist on their predecessor the fx-83/85 GT Plus. Although it’s perfectly possible to get by without ever using…

## The new Casio Classwiz CW calculators

In early 2023, Casio replaced the popular Classwiz fx-83/85GT X and fx-991EX calculator models with the Classwiz fx-83/85GT CW and the fx-991CW. The change is a lot less trivial than you might think! A short (recent) history of Casio scientific…

## How to resolve a vector into components

In the first year of A-level Maths, all the vectors you deal with are given to you in component form, i.e. as two perpendicular components, e.g. $\begin{pmatrix}2\\-3\end{pmatrix}$ or 2i – 3j. In the second year, however, you’re more likely to…

## Equilibrium and resultant forces (A-level Maths Year 1)

This article, on equilibrium and resultant forces, follows on from my recent post on Forces and Newton’s Laws of Motion, and covers part of the Mechanics content of the first year of A-level Maths – though I’m sure that a…

## Mathematical notation you need for A-level – part 3

This is part 3 of a series covering the mathematical notation you need for A-level Maths. Click the links below for the previous parts:Part 1: set notation and miscellaneous symbolsPart 2: other Pure Maths notation This final instalment covers vectors…

## More mathematical notation you need for A-level

Much of the mathematical notation that you need to know for A-level, you’ll already have come across at GCSE, but there are some symbols that you may not be familiar with and others that you certainly won’t have used before…

## Mathematical notation you need for A-level

Much of the mathematical notation that you need to know for A-level, you’ll already have come across at GCSE, but there are some symbols that you may not be familiar with and others that you certainly won’t have used before…