# A-level

A-level Maths (English curriculum)

## Graph transformations for GCSE and A-level Maths

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 blog post. The only graph…

## 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…

## Forces and Newton’s Laws for A-level Maths

You’ve probably done some work on forces and Newton’s laws of motion in GCSE Physics or Combined Science, and that forms the basis of a lot of the work covered in the Mechanics element of A-level Maths. This article is…

## Advance information for 2022 Maths exams

Last week the exam boards published their advance information for this summer’s GCSE and A-level exams in England. They tell us what will be in the exams, but what’s harder to identify is the omissions: what won’t, and what we…

## Fractional indices: Essential skills for GCSE and A-level Maths

This article is Part 2 of a two-part series. Part 1 covers all the Foundation content – basics, laws of indices, negative indices – and you can find it here. In this post we’re picking up where that one left…

## Indices 1: Essential skills for GCSE and A-level Maths: Basics, index laws, negative indices

What are indices, and what do I need to know about them? “Indices” is the plural of index. An index is another name for a power, also sometimes called an exponent. It’s a small number written as superscript, such as…

## How to make a flying start to A-level Maths

Are you starting sixth form this year? Want to know how you can make a flying start to A-level Maths? Here’s some guidance to help you ease your path and make a success of your studies! As anyone who’s done…