# GCSE

GCSE Maths (English curriculum)

## Straight line graphs Part 3

This is the final instalment of my series of tutorials on straight line graphs, and follows on from “Working with a coordinate grid“, “Straight line graphs Part 1” and “Straight line graphs Part 2“. We’ve covered most of the Foundation…

## 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…

## Working with a coordinate grid

In this tutorial we’re looking at working with a coordinate grid: what it looks like, terminology and plotting points, and the equations of simple vertical and horizontal lines. Once you’re comfortable with this basic content, you can move on to…

## 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…

## 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 /…

## Directed numbers (positive and negative numbers)

Directed numbers are something that a lot of people find confusing. I hope that this article will help you to get your head round them! What are directed numbers? “Directed numbers” means positive and negative numbers. “Positive” or “negative” describes…

## 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…

## Direct and inverse proportion for Higher GCSE

For Foundation GCSE you just need to know what equations and graph shapes represent direct and inverse proportion, and work with equations given to you. That’s all covered in a previous article which you can find here. For Higher you…

## Direct and inverse proportion for Foundation GCSE

For Foundation GCSE you need to know what equations and graph shapes represent direct and inverse proportion, and work with equations given to you, but you donâ€™t have to actually derive the equations, as you do at Higher. You also…

## Strategies for listing/calculating possible outcomes

The GCSE Maths topic of systematic listing strategies is all about working out how many possible outcomes there are â€“ i.e. how many ways there are for something to happen â€“ for example when finding probabilities. Sometimes the simplest way…

## How to answer Rate of Flow questions (GCSE Maths)

Rate of flow is a topic that’s sometimes omitted in GCSE Maths text books, or perhaps included in the form of just a question or two in the section on compound measures. It’s only needed for the Higher Tier so…

## Factors, multiples, HCF and LCM questions and problems

In this post we’ll look at HCF and LCM questions, and other situations and types of problems where you need to use what you know about factors and multiples. They start off pretty straightforward, then go on to word problems…

## Working with factors and multiples, HCF and LCM

Factors and multiples have a wide variety of uses in many different areas of Maths, so it’s a fundamental topic that you need to have a good grasp of. In this post we’ll look at how to identify a number’s…

## 10 Tough Problems for GCSE Maths Students

In this post I’m sharing a set of challenging problems for GCSE Maths students that I’ve put together with the aim of helping students to improve their problem-solving skills. They’re aimed mainly at those doing the Higher Tier, but some…

## 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…

## Exam skills for GCSE Maths: maximise your marks

Your exam skills can make a huge difference to your mark in GCSE Maths. Believe it or not, the examiner marking your Maths exam (or any other exam) wants to give you as many marks as possible! They want to…

## How to handle Vectors for GCSE Maths (Higher Tier)

In this post we’re going to look at how you deal with the more difficult kinds of questions you’ll encounter on the topic of Vectors for GCSE Maths at Higher Tier. If you haven’t already read through the post on…

## How to revise GCSE Maths: 12 tips to help you succeed

With some subjects, reading your notes and making mind maps and more notes about the content works well. Maths isnâ€™t like that. Read on for some tips on effective ways to revise GCSE Maths. Tip 1: The best way to…

## Understanding Vectors for GCSE Maths (Foundation Tier)

Vectors for GCSE Maths is one of the topics that people tend to find hardest. Some questions are very challenging even for the strongest students, but getting to grips with the basics isn’t so difficult. In this article we’re going…

## GCSE Maths resources – mostly FREE – to help you smash it in 2022!

The Internet is awash with GCSE Maths resources, many of them free. Read on for key information about the course, the exam and how it’s graded, and a selection of GCSE Maths resources that will help you to get a…

## How to apply the Rules of Divisibility

Can you tell, just by looking at the number 31845, whether it can be divided by 5 without leaving a remainder? How about rules of divisibility for 3 or 9 or 15: will there be a remainder if you divide…

## 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…