# Tutorials

Tutorials and how-tos

## Why is the cost of theatre tickets so high?

This is a different kind of post from my usual, but it still involves numbers, and in a real-life context too: that of budgeting a musical theatre show and deciding how to set the cost of theatre tickets. As well…

## 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…

## 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…

## How to work with upper and lower bounds

Once you’ve got to grips with the basic techniques involved in rounding numbers, as covered in my recent blog post, the next step is to deal with upper and lower bounds. The section down to the embedded video is required…

## How to round numbers for GCSE Maths

For both Foundation and Higher GCSE – and also for other Level 2 Maths qualifications – you need to know how to round numbers: How to round numbers by place value The first two categories could also be described as…

## How to make a DIY visualiser for free using an old smartphone

Ever wondered if it’s possible to make a DIY visualiser (document camera) out of kit that you already have at home? It’s actually pretty simple; there’s really no need to spend £50+ on a Hue or similar camera if it’s…

## Master online tuition with Zoom and BitPaper in 2021

There are a huge number of software options for delivering online tuition but I use Zoom and, in my 1-to-1 online tuition, BitPaper. I favour Zoom over Google Meet, Skype and the rest because it’s the only one I know…

## Confused by BIDMAS / BODMAS / BEDMAS / PEMDAS? Try GEMA!

Remind me again, what’s BIDMAS? If you grew up in the UK then it’s likely that you’ve been taught BIDMAS or BODMAS to help you remember the order of operations – what order you should do things in – in…

## How to animate a jigsaw puzzle in PowerPoint

I’ve been playing with animations for the purpose of promoting my Membership Programmes. Having managed to animate a jigsaw puzzle quite successfully, I thought I’d share how I did it. I was inspired by the instructions I found at https://blogs.articulate.com/rapid-elearning/build-a-puzzle-animation/…