This is a GCSE Mathematics Higher Tier Paper 1 (non-calculator)... Show more
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12 Dec 2025
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GCSE Edexcel Math Practice Test
YUKI
@armeoow
1 / 10
Exam Instructions and Setup
You'll be sitting a non-calculator paper, so mental maths and written methods are crucial here. The exam lasts 90 minutes and you'll need basic equipment like a ruler, protractor, compass, and pencil.
Remember that all working must be shown - even if you get the right answer, you won't get full marks without clear steps. The marks in brackets tell you how much time to spend on each question, which is brilliant for time management.
Top Tip: Use the mark allocation as your guide - if a question is worth 3 marks, expect to show 3 clear steps in your working.
Decimal Calculations
These decimal multiplication and division problems test your written methods without a calculator. For 3.67 × 4.2, you'd use the standard column method, being careful with decimal places.
Division like 59.84 ÷ 1.6 becomes easier if you multiply both numbers by 10 to get 598.4 ÷ 16. This eliminates the decimal in the divisor and makes long division much simpler.
Quick Check: Count decimal places in multiplication - 3.67 (2 places) × 4.2 (1 place) = answer with 3 decimal places.
Set Theory and Mixed Numbers
The Venn diagram question uses set notation where ℰ represents all even numbers less than 19. You'll need to place numbers in the correct regions - some belong to both sets A and B (the overlap), others to just one set.
Mixed number subtraction like 4⅕ - 2⅔ requires converting to improper fractions with a common denominator. Convert both fractions to fifteenths, subtract, then convert back to a mixed number.
Remember: For Venn diagrams, start with the intersection (numbers in both sets), then fill the remaining regions.
Percentage Changes
This percentage problem compares house values after different changes. Tamara's £220,000 house decreases by 20%, whilst Rahim's £160,000 house increases by 30%.
Calculate each new value separately: Tamara's becomes £220,000 × 0.8 = £176,000, and Rahim's becomes £160,000 × 1.3 = £208,000. Clear working is essential to show your method.
Key Point: Decreasing by 20% means multiplying by 0.8; increasing by 30% means multiplying by 1.3.
Ratio Problems
This ratio question gives you the relationship 4:7:15 for Rosie, Matilda, and Ibrahim's stickers. You're told Ibrahim has 24 more than Matilda, which helps you find the multiplier for the ratio.
Since the ratio difference between Matilda and Ibrahim is 15 - 7 = 8 parts, and this equals 24 stickers, each part represents 3 stickers. You can then work out exactly how many more stickers Ibrahim has than Rosie.
Strategy: Find what one part of the ratio represents, then use this to answer the question.
Volume of Prisms
This 3D shape problem involves a triangular prism with a right-angled triangle cross-section. You're given the volume (750 cm³), length (25 cm), and base (5 cm), and need to find the height.
Use the volume formula: Volume = cross-sectional area × length. The cross-sectional area is ½ × base × height for a triangle, so you can work backwards from the given volume to find the missing height.
Formula Focus: Volume of prism = area of cross-section × length of prism.
Surface Area and Algebra
This algebraic geometry problem equates the surface area of a cube (6x²) with a sphere's surface area (4πr²). With the sphere's radius being 3 cm, you substitute to get 4π(3)² = 36π.
Setting 6x² = 36π and solving gives x² = 6π, so x = √(6π). This shows that k = 6, proving the required form x = √(kπ).
Key Insight: Surface area of cube = 6 × (side length)², surface area of sphere = 4πr².
Quadratic Equations and Indices
The quadratic equation x² = 5x + 24 rearranges to x² - 5x - 24 = 0. Factor this or use the quadratic formula to find x = 8 or x = -3.
Index laws are tested through several parts: 7⁰ = 1, 3 × 3⁶ × 3⁻⁶ = 3¹ = 3, 2⁻⁴ = 1/16, and 27^(1/3) = 3. Remember that negative indices mean reciprocals and fractional indices mean roots.
Index Rules: Any number to the power 0 equals 1; negative powers give fractions; fractional powers give roots.
Estimation and Approximation
This estimation problem involves 6 identical squares with total area 5406 cm². Since each square has area 5406 ÷ 6 = 901 cm², you need the square root of 901.
The square root of 901 is approximately 30 . Your estimate will be slightly high because 901 > 900, making this an overestimate.
Estimation Tip: Use perfect squares you know well to estimate square roots of nearby numbers.
Algebraic Area Problems
This algebra with area question sets two rectangular areas equal. Rectangle A has area 6 and rectangle B has area 7w.
Setting them equal: 6 = 7w. Expand both sides, collect terms with y, then rearrange to make y the subject. This gives you an expression for y in terms of w.
Method: Expand, collect like terms, then rearrange to isolate the required variable.
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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.
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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
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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
GCSE Edexcel Math Practice Test
YUKI
@armeoow
This is a GCSE Mathematics Higher Tier Paper 1 (non-calculator) that covers essential maths topics you'll need to master. The exam is 1 hour 30 minutes long and worth 80 marks total, testing everything from basic arithmetic to algebra and... Show more
Exam Instructions and Setup
You'll be sitting a non-calculator paper, so mental maths and written methods are crucial here. The exam lasts 90 minutes and you'll need basic equipment like a ruler, protractor, compass, and pencil.
Remember that all working must be shown - even if you get the right answer, you won't get full marks without clear steps. The marks in brackets tell you how much time to spend on each question, which is brilliant for time management.
Top Tip: Use the mark allocation as your guide - if a question is worth 3 marks, expect to show 3 clear steps in your working.
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Decimal Calculations
These decimal multiplication and division problems test your written methods without a calculator. For 3.67 × 4.2, you'd use the standard column method, being careful with decimal places.
Division like 59.84 ÷ 1.6 becomes easier if you multiply both numbers by 10 to get 598.4 ÷ 16. This eliminates the decimal in the divisor and makes long division much simpler.
Quick Check: Count decimal places in multiplication - 3.67 (2 places) × 4.2 (1 place) = answer with 3 decimal places.
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Set Theory and Mixed Numbers
The Venn diagram question uses set notation where ℰ represents all even numbers less than 19. You'll need to place numbers in the correct regions - some belong to both sets A and B (the overlap), others to just one set.
Mixed number subtraction like 4⅕ - 2⅔ requires converting to improper fractions with a common denominator. Convert both fractions to fifteenths, subtract, then convert back to a mixed number.
Remember: For Venn diagrams, start with the intersection (numbers in both sets), then fill the remaining regions.
Sign up to see the contentIt's free!
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Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Percentage Changes
This percentage problem compares house values after different changes. Tamara's £220,000 house decreases by 20%, whilst Rahim's £160,000 house increases by 30%.
Calculate each new value separately: Tamara's becomes £220,000 × 0.8 = £176,000, and Rahim's becomes £160,000 × 1.3 = £208,000. Clear working is essential to show your method.
Key Point: Decreasing by 20% means multiplying by 0.8; increasing by 30% means multiplying by 1.3.
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Ratio Problems
This ratio question gives you the relationship 4:7:15 for Rosie, Matilda, and Ibrahim's stickers. You're told Ibrahim has 24 more than Matilda, which helps you find the multiplier for the ratio.
Since the ratio difference between Matilda and Ibrahim is 15 - 7 = 8 parts, and this equals 24 stickers, each part represents 3 stickers. You can then work out exactly how many more stickers Ibrahim has than Rosie.
Strategy: Find what one part of the ratio represents, then use this to answer the question.
Sign up to see the contentIt's free!
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Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Volume of Prisms
This 3D shape problem involves a triangular prism with a right-angled triangle cross-section. You're given the volume (750 cm³), length (25 cm), and base (5 cm), and need to find the height.
Use the volume formula: Volume = cross-sectional area × length. The cross-sectional area is ½ × base × height for a triangle, so you can work backwards from the given volume to find the missing height.
Formula Focus: Volume of prism = area of cross-section × length of prism.
Sign up to see the contentIt's free!
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Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Surface Area and Algebra
This algebraic geometry problem equates the surface area of a cube (6x²) with a sphere's surface area (4πr²). With the sphere's radius being 3 cm, you substitute to get 4π(3)² = 36π.
Setting 6x² = 36π and solving gives x² = 6π, so x = √(6π). This shows that k = 6, proving the required form x = √(kπ).
Key Insight: Surface area of cube = 6 × (side length)², surface area of sphere = 4πr².
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Improve your grades
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Quadratic Equations and Indices
The quadratic equation x² = 5x + 24 rearranges to x² - 5x - 24 = 0. Factor this or use the quadratic formula to find x = 8 or x = -3.
Index laws are tested through several parts: 7⁰ = 1, 3 × 3⁶ × 3⁻⁶ = 3¹ = 3, 2⁻⁴ = 1/16, and 27^(1/3) = 3. Remember that negative indices mean reciprocals and fractional indices mean roots.
Index Rules: Any number to the power 0 equals 1; negative powers give fractions; fractional powers give roots.
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Estimation and Approximation
This estimation problem involves 6 identical squares with total area 5406 cm². Since each square has area 5406 ÷ 6 = 901 cm², you need the square root of 901.
The square root of 901 is approximately 30 . Your estimate will be slightly high because 901 > 900, making this an overestimate.
Estimation Tip: Use perfect squares you know well to estimate square roots of nearby numbers.
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Algebraic Area Problems
This algebra with area question sets two rectangular areas equal. Rectangle A has area 6 and rectangle B has area 7w.
Setting them equal: 6 = 7w. Expand both sides, collect terms with y, then rearrange to make y the subject. This gives you an expression for y in terms of w.
Method: Expand, collect like terms, then rearrange to isolate the required variable.
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?
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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