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Fun Nat 5 Maths Guide: Percentages, Ratios, and More!

11

0

M

Madison Mclauchlan

10/10/2025

Maths

application of maths national 5

597

10 Oct 2025

1 page

Fun Nat 5 Maths Guide: Percentages, Ratios, and More!

M

Madison Mclauchlan

@madisonmclauchlan_rehk

The National 5 Maths formula sheet provides essential mathematical formulas... Show more

10
5 2
10
10 4
3
Percentage 10x20x30x40N 50% 60% 70% 80% 90 2575 336638
Fraction to 3 402 4
Decimal 0.10 0.20 030 0.40 0.50-0.60 0.70 0.80 0

National 5 Maths Formula Sheet

This comprehensive formula sheet is an invaluable resource for students studying National 5 Maths. It covers a wide range of mathematical concepts and provides quick reference for various calculations and conversions.

Percentage, Fraction, and Decimal Conversions

The sheet begins with a conversion table that shows the relationships between percentages, fractions, and decimals. This is crucial for students working on problems involving these different representations of numbers.

Example: 50% is equivalent to 1/2 as a fraction and 0.50 as a decimal.

Percentage Calculations

Formulas for percentage calculations are provided, including:

  1. Percentage of a number: (percentage ÷ 100) × original number
  2. Appreciation: 100+percentage100 + percentage ÷ 100 × original number
  3. Depreciation: 100percentage100 - percentage ÷ 100 × original number

Highlight: These formulas are essential for solving real-world problems involving percentages, such as calculating discounts or interest rates.

Geometric Formulas

The sheet includes formulas for various geometric calculations:

  1. Perimeter: Sum of all sides
  2. Area of a square: A = L²
  3. Area of a rectangle: A = l × b
  4. Circumference of a circle: C = π × D
  5. Area of a triangle: A = 1/2 × b × h
  6. Volume of a cube/cuboid: V = l × b × h
  7. Volume of a cylinder: V = π × r² × h

Vocabulary: Perimeter refers to the distance around the outside of a shape, while area is the space inside a two-dimensional shape.

Probability

The formula for calculating probability is provided:

Probability = (Number of ways an event can happen) ÷ (Total number of possible outcomes)

Definition: Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1.

Fractions

The sheet concludes with rules for working with fractions:

  1. Addition and subtraction of fractions require a common denominator.
  2. When adding or subtracting fractions with different denominators, find a common denominator first.

Example: To add 2/3 and 1/4, find a common denominator (12), then convert the fractions to 8/12 and 3/12 before adding.

This National 5 Maths formula sheet is an essential tool for students preparing for exams or working on National 5 Maths homework. It covers key topics such as percentages, geometry, and probability, making it a valuable resource for Nat 5 Maths Quiz preparation and general study.



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The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user

 

Maths

597

10 Oct 2025

1 page

Fun Nat 5 Maths Guide: Percentages, Ratios, and More!

M

Madison Mclauchlan

@madisonmclauchlan_rehk

The National 5 Maths formula sheet provides essential mathematical formulas and conversions for various topics. It covers percentages, fractions, decimals, geometry, and probability, serving as a crucial reference for students preparing for their National 5 Maths exams.

Key points:

  • Includes... Show more

10
5 2
10
10 4
3
Percentage 10x20x30x40N 50% 60% 70% 80% 90 2575 336638
Fraction to 3 402 4
Decimal 0.10 0.20 030 0.40 0.50-0.60 0.70 0.80 0

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National 5 Maths Formula Sheet

This comprehensive formula sheet is an invaluable resource for students studying National 5 Maths. It covers a wide range of mathematical concepts and provides quick reference for various calculations and conversions.

Percentage, Fraction, and Decimal Conversions

The sheet begins with a conversion table that shows the relationships between percentages, fractions, and decimals. This is crucial for students working on problems involving these different representations of numbers.

Example: 50% is equivalent to 1/2 as a fraction and 0.50 as a decimal.

Percentage Calculations

Formulas for percentage calculations are provided, including:

  1. Percentage of a number: (percentage ÷ 100) × original number
  2. Appreciation: 100+percentage100 + percentage ÷ 100 × original number
  3. Depreciation: 100percentage100 - percentage ÷ 100 × original number

Highlight: These formulas are essential for solving real-world problems involving percentages, such as calculating discounts or interest rates.

Geometric Formulas

The sheet includes formulas for various geometric calculations:

  1. Perimeter: Sum of all sides
  2. Area of a square: A = L²
  3. Area of a rectangle: A = l × b
  4. Circumference of a circle: C = π × D
  5. Area of a triangle: A = 1/2 × b × h
  6. Volume of a cube/cuboid: V = l × b × h
  7. Volume of a cylinder: V = π × r² × h

Vocabulary: Perimeter refers to the distance around the outside of a shape, while area is the space inside a two-dimensional shape.

Probability

The formula for calculating probability is provided:

Probability = (Number of ways an event can happen) ÷ (Total number of possible outcomes)

Definition: Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1.

Fractions

The sheet concludes with rules for working with fractions:

  1. Addition and subtraction of fractions require a common denominator.
  2. When adding or subtracting fractions with different denominators, find a common denominator first.

Example: To add 2/3 and 1/4, find a common denominator (12), then convert the fractions to 8/12 and 3/12 before adding.

This National 5 Maths formula sheet is an essential tool for students preparing for exams or working on National 5 Maths homework. It covers key topics such as percentages, geometry, and probability, making it a valuable resource for Nat 5 Maths Quiz preparation and general study.

We thought you’d never ask...

What is the Knowunity AI companion?

Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.

Where can I download the Knowunity app?

You can download the app from Google Play Store and Apple App Store.

Is Knowunity really free of charge?

That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.

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Can't find what you're looking for? Explore other subjects.

Students love us — and so will you.

4.9/5

App Store

4.8/5

Google Play

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user