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Gcse 9-1 Corbettmaths Practice Papers and Answers

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ayesha tahir

20/10/2022

Maths

corbettmaths

Gcse 9-1 Corbettmaths Practice Papers and Answers

Corbettmaths provides comprehensive mathematics practice resources designed to help students excel in their GCSE examinations and general math studies.

The platform offers extensive practice materials including Corbettmaths Practice Papers answers and GCSE 9-1 Foundation Practice Paper Set A Paper 2 Calculator answers. These resources are carefully structured to cover all key topics and difficulty levels, from foundation to higher tier mathematics. Students can access both calculator and Corbettmaths higher paper non calculator materials, ensuring thorough preparation for all examination scenarios.

Beyond traditional practice papers, Corbettmaths features innovative learning tools like Corbettmaths 5 a day challenges and Corbettmaths worksheets that help build consistent study habits. The Corbettmaths Ultimate Revision resources provide systematic coverage of the curriculum, while Corbettmaths Year 7 and Corbettmaths ks3 materials ensure strong foundational understanding. The platform's approach to mathematics education is comprehensive, offering everything from basic concept explanations to advanced problem-solving techniques. Students can benefit from detailed answer keys and step-by-step solutions, making it easier to understand complex mathematical concepts and improve their problem-solving skills. The inclusion of Corbettmaths GCSE past papers and Corbettmaths past papers answers allows students to familiarize themselves with examination formats and question styles, building confidence through regular practice. The platform's resources are particularly valuable for independent study and exam preparation, providing students with the tools they need to achieve their mathematical potential.

The systematic organization of content, from Corbettmaths year 9 tests to GCSE preparation materials, ensures a smooth progression through increasingly challenging mathematical concepts. This structured approach, combined with regular practice opportunities and comprehensive answer guides, makes Corbettmaths an invaluable resource for students at all levels of mathematical ability.

...

20/10/2022

2348

Name: SowTION S
GCSE 9-1
Practice Paper
Set A
Paper 1- Non Calculator
Equipment
1. A black ink ball-point pen.
2. A pencil.
3. An eraser.
4.

View

Understanding GCSE 9-1 Mathematics Practice Papers and Equipment Requirements

The Corbettmaths GCSE 9-1 higher practice paper set requires specific equipment and follows strict guidelines for successful completion. Students need six essential tools: a black ink ball-point pen for writing answers, a pencil for drawings and graphs, an eraser for corrections, a ruler for measurements and straight lines, a pair of compasses for constructing circles and arcs, and a protractor for measuring angles.

Definition: GCSE 9-1 Mathematics papers are structured assessments that test mathematical knowledge across various topics, with marks typically ranging from 80-100 per paper.

The paper format includes 80 total marks distributed across 22 questions, with individual question values ranging from 2 to 5 marks. Students have 1 hour and 30 minutes to complete all questions. This timing requires careful management, averaging about 4 minutes per question, though some questions may need more time than others.

For optimal performance, students should follow key guidance principles: reading each question thoroughly before attempting an answer, maintaining steady progress without dwelling too long on challenging questions, attempting every question even if unsure, verifying answers for reasonableness, and showing all working out to maximize potential marks.

Name: SowTION S
GCSE 9-1
Practice Paper
Set A
Paper 1- Non Calculator
Equipment
1. A black ink ball-point pen.
2. A pencil.
3. An eraser.
4.

View

Analyzing Mathematical Relationships Through Scatter Graphs

The practice paper includes data analysis through scatter graphs, specifically examining the relationship between rainfall and umbrella sales. This real-world application demonstrates how mathematical concepts apply to business and weather patterns.

Example: A scatter graph showing umbrella sales versus rainfall demonstrates positive correlation - as rainfall increases, umbrella sales increase proportionally.

The data reveals important statistical relationships, with maximum umbrella sales reaching 114 units in peak conditions. Students must interpret the graph to understand trends, make predictions, and recognize limitations in data extrapolation.

When analyzing scatter graphs, students should consider:

  • The direction and strength of correlation
  • Maximum and minimum values
  • The appropriateness of predictions beyond the data range
  • Real-world factors that might influence the relationship
Name: SowTION S
GCSE 9-1
Practice Paper
Set A
Paper 1- Non Calculator
Equipment
1. A black ink ball-point pen.
2. A pencil.
3. An eraser.
4.

View

Working with Prime Factors and Numerical Operations

Understanding prime factorization is crucial for advanced mathematical concepts. The paper tests this knowledge through questions like expressing 60 as a product of prime factors 22×3×52² × 3 × 5.

Vocabulary: Prime factorization is the process of expressing a number as a product of its prime number components.

The paper also examines decimal operations, such as dividing 412.8 by 2.4, requiring students to demonstrate proficiency in:

  • Converting between decimals and whole numbers
  • Long division techniques
  • Checking answer reasonableness
  • Showing clear mathematical working
Name: SowTION S
GCSE 9-1
Practice Paper
Set A
Paper 1- Non Calculator
Equipment
1. A black ink ball-point pen.
2. A pencil.
3. An eraser.
4.

View

Algebraic Expressions and Geometric Applications

The practice paper integrates algebra with geometry through problems involving rectangular areas and expressions. Students must form and manipulate algebraic expressions representing geometric properties.

Highlight: When working with geometric algebra problems, always identify the given variables and their relationships before forming expressions.

Key concepts tested include:

  • Converting word problems to algebraic expressions
  • Expanding brackets in expressions
  • Understanding area formulas
  • Combining like terms
  • Simplifying expressions to their most reduced form

The rectangle problem x+9x+9x1x-1 tests students' ability to:

  • Recognize length and width expressions
  • Multiply algebraic expressions
  • Collect like terms
  • Present the final answer in standard form
Name: SowTION S
GCSE 9-1
Practice Paper
Set A
Paper 1- Non Calculator
Equipment
1. A black ink ball-point pen.
2. A pencil.
3. An eraser.
4.

View

Understanding Advanced Mathematics: Geometry and Functions

The right-angled triangle problem demonstrates key geometric principles essential for GCSE 9-1 practice. When given a triangle with sides of 15cm and 12cm, calculating the height using the Pythagorean theorem reveals h²=15²-12²=81, giving h=9cm. The area calculation follows using A=½bh, resulting in 54cm².

Definition: The Pythagorean theorem states that in a right triangle, a²+b²=c², where c is the hypotenuse.

Parallel lines and linear equations form another crucial concept. When line B has equation y=3x+1 and line A passes through 0,80,8 with the same gradient, we can determine line A's equation as y=3x+8. This demonstrates how parallel lines maintain the same gradient while having different y-intercepts.

Statistical analysis plays a vital role in Corbettmaths practice papers answers. When calculating class averages, consider the total marks: boys 70×15=105070×15=1050 plus girls 82×10=82082×10=820 divided by total students 2525 equals 74.8. This weighted average accounts for different group sizes.

Name: SowTION S
GCSE 9-1
Practice Paper
Set A
Paper 1- Non Calculator
Equipment
1. A black ink ball-point pen.
2. A pencil.
3. An eraser.
4.

View

Advanced Mathematical Operations and Number Theory

Value Added Tax VATVAT calculations represent real-world mathematics applications. For an £84 watch including 20% VAT, divide by 1.2 to find the original price of £70. This demonstrates how percentages affect retail pricing.

Example: To remove VAT, use this formula: Original Price = Price with VAT ÷ 1+VATrate1 + VAT rate

Expression simplification, particularly with surds, requires careful attention. When dealing with expressions like √175, break down into prime factors to identify perfect square factors. Similarly, comparing numbers in different forms decimals,surds,fractionsdecimals, surds, fractions requires converting to comparable forms.

Algebraic expansion of 12x1-2xx+3x+3x1x-1 demonstrates the distributive property and collecting like terms. This results in -2x³-3x²+8x-3, showing how multiple brackets combine.

Name: SowTION S
GCSE 9-1
Practice Paper
Set A
Paper 1- Non Calculator
Equipment
1. A black ink ball-point pen.
2. A pencil.
3. An eraser.
4.

View

Mathematical Functions and Graphical Analysis

Function analysis through graphical representation helps visualize mathematical relationships. When examining y=fxx, identifying turning points and specific values requires careful reading of coordinates.

Highlight: Turning points represent maximum or minimum values of a function, crucial for understanding function behavior.

The graph shows key features including:

  • Turning point at approximately 1.5,4.2-1.5, 4.2
  • Function value at x=1.2 can be read directly from the graph
  • Overall shape indicates a cubic function

These concepts are fundamental for Corbettmaths GCSE past papers and higher-level mathematics understanding.

Name: SowTION S
GCSE 9-1
Practice Paper
Set A
Paper 1- Non Calculator
Equipment
1. A black ink ball-point pen.
2. A pencil.
3. An eraser.
4.

View

Mathematical Operations and Exponents

Understanding exponents and their properties is crucial for advanced mathematics. Problems involving expressions like 100^1/21/2 and 4^2/3-2/3 require knowledge of fractional and negative exponents.

Vocabulary: Negative exponents indicate reciprocals, while fractional exponents represent roots.

Simplifying expressions like 27(2/327^(2/3) demonstrates the application of exponent rules:

  1. Break down the expression using exponent laws
  2. Identify equivalent forms
  3. Calculate step by step

These skills are essential for success in Corbettmaths higher paper non calculator assessments and advanced mathematical studies.

Name: SowTION S
GCSE 9-1
Practice Paper
Set A
Paper 1- Non Calculator
Equipment
1. A black ink ball-point pen.
2. A pencil.
3. An eraser.
4.

View

Understanding Inverse Proportional Relationships in Physics: Magnetic Force and Distance

The relationship between magnetic force and distance demonstrates a fundamental physics concept that's crucial for GCSE 9-1 studies. When examining how magnets interact with metal objects, the force follows an inverse square law, making it an excellent example for understanding proportional relationships.

Definition: Inverse square law states that a physical quantity is inversely proportional to the square of the distance from the source of that quantity. In magnetic forces, this means as distance increases, force decreases by the square of that distance.

In practical applications, this relationship helps us calculate magnetic forces at various distances. For instance, when the distance dd is 2 centimeters and the force FF is 50 Newtons, we can use this information to find the constant of proportionality kk and then determine forces at any distance. This concept appears frequently in Corbettmaths Practice Papers answers and is essential for mastering physics calculations.

The mathematical expression F = k/d² encapsulates this relationship, where k is the constant value that remains unchanged throughout the problem. By using the given values d=2,F=50d=2, F=50, we can determine that k=200, allowing us to calculate the force at any distance. This type of question commonly appears in Corbettmaths higher paper non calculator gcse assessments.

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Maths

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20 Oct 2022

18 pages

Gcse 9-1 Corbettmaths Practice Papers and Answers

A

ayesha tahir

@ayeshatahir_mlxz

Corbettmaths provides comprehensive mathematics practice resources designed to help students excel in their GCSE examinations and general math studies.

The platform offers extensive practice materials including Corbettmaths Practice Papers answers and GCSE 9-1 Foundation Practice Paper Set A Paper 2... Show more

Name: SowTION S
GCSE 9-1
Practice Paper
Set A
Paper 1- Non Calculator
Equipment
1. A black ink ball-point pen.
2. A pencil.
3. An eraser.
4.

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Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Understanding GCSE 9-1 Mathematics Practice Papers and Equipment Requirements

The Corbettmaths GCSE 9-1 higher practice paper set requires specific equipment and follows strict guidelines for successful completion. Students need six essential tools: a black ink ball-point pen for writing answers, a pencil for drawings and graphs, an eraser for corrections, a ruler for measurements and straight lines, a pair of compasses for constructing circles and arcs, and a protractor for measuring angles.

Definition: GCSE 9-1 Mathematics papers are structured assessments that test mathematical knowledge across various topics, with marks typically ranging from 80-100 per paper.

The paper format includes 80 total marks distributed across 22 questions, with individual question values ranging from 2 to 5 marks. Students have 1 hour and 30 minutes to complete all questions. This timing requires careful management, averaging about 4 minutes per question, though some questions may need more time than others.

For optimal performance, students should follow key guidance principles: reading each question thoroughly before attempting an answer, maintaining steady progress without dwelling too long on challenging questions, attempting every question even if unsure, verifying answers for reasonableness, and showing all working out to maximize potential marks.

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

Analyzing Mathematical Relationships Through Scatter Graphs

The practice paper includes data analysis through scatter graphs, specifically examining the relationship between rainfall and umbrella sales. This real-world application demonstrates how mathematical concepts apply to business and weather patterns.

Example: A scatter graph showing umbrella sales versus rainfall demonstrates positive correlation - as rainfall increases, umbrella sales increase proportionally.

The data reveals important statistical relationships, with maximum umbrella sales reaching 114 units in peak conditions. Students must interpret the graph to understand trends, make predictions, and recognize limitations in data extrapolation.

When analyzing scatter graphs, students should consider:

  • The direction and strength of correlation
  • Maximum and minimum values
  • The appropriateness of predictions beyond the data range
  • Real-world factors that might influence the relationship

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

Working with Prime Factors and Numerical Operations

Understanding prime factorization is crucial for advanced mathematical concepts. The paper tests this knowledge through questions like expressing 60 as a product of prime factors 22×3×52² × 3 × 5.

Vocabulary: Prime factorization is the process of expressing a number as a product of its prime number components.

The paper also examines decimal operations, such as dividing 412.8 by 2.4, requiring students to demonstrate proficiency in:

  • Converting between decimals and whole numbers
  • Long division techniques
  • Checking answer reasonableness
  • Showing clear mathematical 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

Algebraic Expressions and Geometric Applications

The practice paper integrates algebra with geometry through problems involving rectangular areas and expressions. Students must form and manipulate algebraic expressions representing geometric properties.

Highlight: When working with geometric algebra problems, always identify the given variables and their relationships before forming expressions.

Key concepts tested include:

  • Converting word problems to algebraic expressions
  • Expanding brackets in expressions
  • Understanding area formulas
  • Combining like terms
  • Simplifying expressions to their most reduced form

The rectangle problem x+9x+9x1x-1 tests students' ability to:

  • Recognize length and width expressions
  • Multiply algebraic expressions
  • Collect like terms
  • Present the final answer in standard form

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

Understanding Advanced Mathematics: Geometry and Functions

The right-angled triangle problem demonstrates key geometric principles essential for GCSE 9-1 practice. When given a triangle with sides of 15cm and 12cm, calculating the height using the Pythagorean theorem reveals h²=15²-12²=81, giving h=9cm. The area calculation follows using A=½bh, resulting in 54cm².

Definition: The Pythagorean theorem states that in a right triangle, a²+b²=c², where c is the hypotenuse.

Parallel lines and linear equations form another crucial concept. When line B has equation y=3x+1 and line A passes through 0,80,8 with the same gradient, we can determine line A's equation as y=3x+8. This demonstrates how parallel lines maintain the same gradient while having different y-intercepts.

Statistical analysis plays a vital role in Corbettmaths practice papers answers. When calculating class averages, consider the total marks: boys 70×15=105070×15=1050 plus girls 82×10=82082×10=820 divided by total students 2525 equals 74.8. This weighted average accounts for different group sizes.

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

Advanced Mathematical Operations and Number Theory

Value Added Tax VATVAT calculations represent real-world mathematics applications. For an £84 watch including 20% VAT, divide by 1.2 to find the original price of £70. This demonstrates how percentages affect retail pricing.

Example: To remove VAT, use this formula: Original Price = Price with VAT ÷ 1+VATrate1 + VAT rate

Expression simplification, particularly with surds, requires careful attention. When dealing with expressions like √175, break down into prime factors to identify perfect square factors. Similarly, comparing numbers in different forms decimals,surds,fractionsdecimals, surds, fractions requires converting to comparable forms.

Algebraic expansion of 12x1-2xx+3x+3x1x-1 demonstrates the distributive property and collecting like terms. This results in -2x³-3x²+8x-3, showing how multiple brackets combine.

Sign up to see the contentIt's free!

Access to all documents

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Join milions of students

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Mathematical Functions and Graphical Analysis

Function analysis through graphical representation helps visualize mathematical relationships. When examining y=fxx, identifying turning points and specific values requires careful reading of coordinates.

Highlight: Turning points represent maximum or minimum values of a function, crucial for understanding function behavior.

The graph shows key features including:

  • Turning point at approximately 1.5,4.2-1.5, 4.2
  • Function value at x=1.2 can be read directly from the graph
  • Overall shape indicates a cubic function

These concepts are fundamental for Corbettmaths GCSE past papers and higher-level mathematics understanding.

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

Mathematical Operations and Exponents

Understanding exponents and their properties is crucial for advanced mathematics. Problems involving expressions like 100^1/21/2 and 4^2/3-2/3 require knowledge of fractional and negative exponents.

Vocabulary: Negative exponents indicate reciprocals, while fractional exponents represent roots.

Simplifying expressions like 27(2/327^(2/3) demonstrates the application of exponent rules:

  1. Break down the expression using exponent laws
  2. Identify equivalent forms
  3. Calculate step by step

These skills are essential for success in Corbettmaths higher paper non calculator assessments and advanced mathematical studies.

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

Understanding Inverse Proportional Relationships in Physics: Magnetic Force and Distance

The relationship between magnetic force and distance demonstrates a fundamental physics concept that's crucial for GCSE 9-1 studies. When examining how magnets interact with metal objects, the force follows an inverse square law, making it an excellent example for understanding proportional relationships.

Definition: Inverse square law states that a physical quantity is inversely proportional to the square of the distance from the source of that quantity. In magnetic forces, this means as distance increases, force decreases by the square of that distance.

In practical applications, this relationship helps us calculate magnetic forces at various distances. For instance, when the distance dd is 2 centimeters and the force FF is 50 Newtons, we can use this information to find the constant of proportionality kk and then determine forces at any distance. This concept appears frequently in Corbettmaths Practice Papers answers and is essential for mastering physics calculations.

The mathematical expression F = k/d² encapsulates this relationship, where k is the constant value that remains unchanged throughout the problem. By using the given values d=2,F=50d=2, F=50, we can determine that k=200, allowing us to calculate the force at any distance. This type of question commonly appears in Corbettmaths higher paper non calculator gcse assessments.

Sign up to see the contentIt's free!

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Improve your grades

Join milions of students

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Applying Inverse Square Law in Real-World Scenarios

Understanding inverse square relationships extends beyond just magnetic forces. This concept appears in various physical phenomena, including gravity, light intensity, and electric fields. For students preparing for Corbettmaths GCSE past papers, mastering these calculations is essential.

Example: If we need to find the force when the distance is 10cm, we can substitute d=10 into our equation F=200/d². This gives us F=200/100=2 Newtons, demonstrating how dramatically the force decreases with increased distance.

The practical implications of this relationship are significant in real-world applications. Engineers must consider these relationships when designing magnetic devices, from simple refrigerator magnets to complex medical imaging equipment. This connection between theory and application is often tested in Corbettmaths Ultimate Revision materials.

Students working through Corbettmaths worksheets should practice these calculations regularly, as they form a foundation for understanding more complex physics concepts. The ability to manipulate inverse square relationships and interpret their meaning is a crucial skill for success in GCSE physics and mathematics examinations.

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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.

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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.

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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

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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

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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