Mathematics Tutor Online

Mathematics Tutor Online Hello, I'm Phoebe McKirdy. I'm a mathematics tutor specialised in 11+, 13+, I/GCSE, A Levels, OCR, Edexcel, AQA, CAT4, CEM, ISEB & GL.

I've helped students achieve marks from C to A+. I also prepare pupils for successful entry to UK top schools.

GCSE Results Day 🎓To all the students receiving their GCSE results today — congratulations on reaching this milestone!Wh...
20/08/2026

GCSE Results Day 🎓

To all the students receiving their GCSE results today — congratulations on reaching this milestone!

Whether you’re celebrating the grades you hoped for, feeling relieved that the hard work is over, or thinking about what comes next, take a moment to recognise how much you’ve achieved.

GCSEs are an important step, but today is also the beginning of a new chapter — whether that means A Levels, another pathway, or something completely different.

And to the parents who have supported, encouraged and probably stressed alongside them — you deserve a little celebration too! ❤️

Wishing all my students and their families a wonderful Results Day.

Be proud. You’ve come a long way. 🎓

A-Level Results Day 🎓To everyone receiving their results today — well done for getting to this point.If you got the resu...
13/08/2026

A-Level Results Day 🎓

To everyone receiving their results today — well done for getting to this point.

If you got the results you hoped for, celebrate it. You’ve earned it. ❤️

If things didn’t go quite to plan, don’t panic. There are still options, and today doesn’t have to define what happens next.

And remember: one set of numbers doesn’t define your ability, your potential or your future.

Wishing all my students and their families a very special Results Day. ❤️

If you add up all the probabilities of an event, what is the total? The total probability of all possible outcomes is al...
05/08/2026

If you add up all the probabilities of an event, what is the total?

The total probability of all possible outcomes is always:

1 (or 100%)

Why? Because one of the possible outcomes must happen.

For example, when rolling a fair six-sided die:

* P(1) = 1/6
* P(2) = 1/6
* P(3) = 1/6
* P(4) = 1/6
* P(5) = 1/6
* P(6) = 1/6

Add them together:

1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 1

This is a useful way to check your answers. If the probabilities of all possible outcomes don't add up to 1, you've likely made a mistake.

If an event has an even chance, what is its probability? An event has an even chance when it is  just as likely to happe...
03/08/2026

If an event has an even chance, what is its probability?

An event has an even chance when it is just as likely to happen as it is not to happen.

Its probability can be written as:

½ = 0.5 = 50%

These are simply different ways of expressing the same probability.

For example:
• Flipping a fair coin has an even chance of landing on heads or tails.
• The probability of getting heads is ½, 0.5, or 50%.

Whenever you see an event with two equally likely outcomes, think "half a chance." Recognising an even chance quickly can save valuable time in IGCSE exams.

If an event is certain, what is its probability? A certain event is something that will definitely happen.Its probabilit...
02/08/2026

If an event is certain, what is its probability?

A certain event is something that will definitely happen.

Its probability is always:

1 or 100%

For example:
• Picking a red counter from a bag that contains only red counters
• Rolling a number less than 7 on a standard six-sided die

Because these events are guaranteed to happen, their probability is 1.

Remember:

0 means an event is impossible.
1 means an event is certain.
Every other probability falls somewhere between 0 and 1.

Keeping these two endpoints in mind makes it much easier to judge whether an answer to a probability question is reasonable.

If an event is impossible, what is its probability? An impossible event is something that cannot happen.Its probability ...
01/08/2026

If an event is impossible, what is its probability?

An impossible event is something that cannot happen.

Its probability is always:

0 or 0%

For example:
• Rolling a 7 on a standard six-sided die 🎲
• Picking a blue counter from a bag that contains only red counters

Because there is no chance of these events occurring, their probability is 0.

Remember:

0 means impossible.
1 means certain.
Every probability lies somewhere between these two values.

Understanding these endpoints is essential because every probability question in IGCSE Maths is based on this scale.

How can probability be expressed? A probability can be written in several different ways, and they all represent the sam...
31/07/2026

How can probability be expressed?

A probability can be written in several different ways, and they all represent the same chance of an event happening.

The most common forms are:
• Fraction (e.g. ½)
• Decimal (e.g. 0.5)
• Percentage (e.g. 50%)
• Ratio (e.g. 1:2)

For example, if there's an equal chance of getting heads or tails when flipping a fair coin, the probability can be written as:

½ = 0.5 = 50% = 1:2

In IGCSE Maths, you'll often need to convert between these forms, so it's important to recognise that they all describe the same probability.

Being comfortable with these different representations will make probability questions much easier to interpret and solve.

What words can we use to describe probability? Before we calculate probabilities, it's important to understand the langu...
30/07/2026

What words can we use to describe probability?

Before we calculate probabilities, it's important to understand the language used to describe how likely an event is.

Here are the four key terms you'll come across:

Certain – The event will definitely happen.
Impossible – The event cannot happen.
Unlikely – The event could happen, but it probably won't.
Likely – The event is expected to happen, but it's not guaranteed.

These words help us estimate probability before assigning a numerical value. As you continue learning probability, you'll see how each of these descriptions corresponds to a number between 0 and 1.

Understanding this vocabulary is the first step towards solving IGCSE probability questions with confidence.

What is probability? 🎲Probability is a way of  measuring how likely an event is to happen.It helps us answer questions s...
29/07/2026

What is probability? 🎲

Probability is a way of measuring how likely an event is to happen.

It helps us answer questions such as:
• Will it rain today?
• What are the chances of rolling a 6 on a die?
• How likely is it to pick a red counter from a bag?

In maths, probability is always a value between 0 and 1:
• 0 means an event is impossible.
• 1 means an event is certain.
• Values in between represent different levels of likelihood.

Understanding probability is the foundation for solving more complex IGCSE questions involving dice, cards, counters and real-life situations.

🎲 New Series: IGCSE Probability 🎲Probability is one of the first topics students meet in IGCSE Maths, and getting the ba...
28/07/2026

🎲 New Series: IGCSE Probability 🎲

Probability is one of the first topics students meet in IGCSE Maths, and getting the basics right makes the more challenging questions much easier later on.

In this revision series, we'll cover the essential foundations of probability, including:
• What probability means
• The language of probability
• Different ways to express probability
• Impossible, certain and even chances
• Key probability rules
• Simple probability questions

Whether you're just starting the topic or revising for your exams, these bite-sized posts will help strengthen your understanding one concept at a time.

Save this series so you can come back to it whenever you need a quick probability refresher!

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