Subjects

Subjects

More

Search

AI Knowunity

Subjects

/

Maths

/

Geometry and measure

/

2-dimensional shapes

Edexcel GCSE Higher Tier Mock Exam Solutions and Maths Past Papers with Answers

View

Edexcel GCSE Higher Tier Mock Exam Solutions and Maths Past Papers with Answers
user profile picture

mrfantastic

@mrfantastic_zvoh

·

56 Followers

Follow

The comprehensive study of GCSE Maths past papers PDF with answers reveals essential preparation strategies for mathematics examinations at the higher tier level. Students aiming for success in their Mathematics non calculator paper higher level 2018 and similar assessments can benefit from systematic review approaches.

Edexcel GCSE Maths past papers and Maths genie resources provide invaluable practice materials for students preparing for higher-tier mathematics examinations. These resources include detailed solutions covering various mathematical concepts, from basic arithmetic to advanced algebra and geometry. The Pearson edexcel gcse math exam preparation materials are particularly useful as they align perfectly with the current curriculum and assessment standards. Students can access past papers from different years, including the crucial Mathematics non calculator paper higher level 2018 answers, which helps them understand the examination format and marking criteria.

The revision process becomes more structured when using Pearson edexcel gcse (9-1) mathematics higher answers pdf alongside practice papers. These resources typically include step-by-step solutions, enabling students to understand complex mathematical concepts thoroughly. The revise edexcel gcse (9-1) mathematics higher revision workbook pdf offers systematic practice exercises that build confidence in handling non-calculator questions, algebraic manipulation, geometric proofs, and statistical analysis. The combination of past papers, mark schemes (such as the AQA Maths 2018 Paper 1 mark scheme), and comprehensive revision materials ensures students are well-prepared for their examinations. Regular practice with these resources helps develop problem-solving skills, time management abilities, and familiarity with different question styles, ultimately leading to improved performance in GCSE mathematics examinations.

24/02/2023

2302

ļ Please check the examination details below before entering your candidate information Candidates My work. Oth Centre Number Paper 2 (Calcu

View

Understanding GCSE Mathematics Exam Format and Instructions

The Pearson edexcel gcse math exam preparation begins with essential examination details for the Higher Tier Mathematics Paper 2 (Calculator). This comprehensive assessment allocates 1 hour and 30 minutes for students to demonstrate their mathematical proficiency across various topics.

Required materials include standard mathematical instruments: a ruler graduated in centimetres and millimetres, protractor, pair of compasses, writing implements (black ink or ball-point pen, HB pencil), and an eraser. Most importantly, a calculator is permitted for this paper, with π taken as 3.142 unless otherwise specified.

The examination carries a total of 80 marks, with individual question weightings clearly indicated in brackets. This marking scheme helps candidates manage their time effectively and prioritize responses appropriately during the assessment.

Highlight: Candidates must show all working steps clearly to maximize potential marks, even if the answer space provided exceeds requirements.

ļ Please check the examination details below before entering your candidate information Candidates My work. Oth Centre Number Paper 2 (Calcu

View

Analyzing Set Theory and Venn Diagrams in GCSE Mathematics

This section of the GCSE Maths past papers PDF with answers Higher focuses on set theory using Venn diagrams. The question presents three sets (A, B, and C) containing even numbers between 1 and 25, requiring students to accurately represent their relationships.

The problem demonstrates the practical application of set notation and probability concepts, essential components of the higher-tier curriculum. Students must carefully analyze the overlapping regions between sets and calculate probability based on set intersections.

Definition: Set notation represents collections of numbers or objects, while intersections (∩) show elements common to multiple sets.

ļ Please check the examination details below before entering your candidate information Candidates My work. Oth Centre Number Paper 2 (Calcu

View

Understanding Data Representation and Statistical Analysis

This segment from Mathematics non calculator paper higher level 2018 answers examines scatter graphs and lines of best fit. The question evaluates students' ability to critically analyze statistical representations of height and weight data for rugby players.

The exercise tests understanding of correlation, appropriate scaling, and the proper construction of lines of best fit. Students must identify errors in the given representation, demonstrating their grasp of statistical concepts and data visualization principles.

Example: A correctly drawn line of best fit should pass through approximately equal numbers of points above and below the line, representing the overall trend in the data.

ļ Please check the examination details below before entering your candidate information Candidates My work. Oth Centre Number Paper 2 (Calcu

View

Geometric Reasoning and Angle Properties

This geometry question from Edexcel GCSE Maths past papers tests understanding of parallel lines, angles in triangles, and angle relationships. Students must apply multiple geometric principles to determine an unknown angle.

The solution requires systematic application of angle properties including:

  • Corresponding angles
  • Angles in triangles summing to 180°
  • Angles on a straight line equaling 180°
  • Co-interior angles

Vocabulary: Co-interior angles are pairs of angles formed when two parallel lines are cut by a transversal, positioned on the same side of the transversal and between the parallel lines.

ļ Please check the examination details below before entering your candidate information Candidates My work. Oth Centre Number Paper 2 (Calcu

View

Advanced GCSE Mathematics: Compound Interest and Financial Calculations

The study of compound interest forms a crucial component of GCSE Maths past papers PDF with answers Higher. When examining financial calculations, students must understand how interest rates affect different types of accounts over multiple years.

In this detailed analysis, we explore a problem from Northern Bank featuring two account types - a cash savings account with 2.5% annual interest and a shares account with 3.5% annual interest. For investments of £2000 and £1600 respectively, students must calculate compound interest over three years, demonstrating mastery of exponential growth calculations.

Definition: Compound interest is interest calculated on both the initial principal and accumulated interest from previous periods.

The complexity increases when account terms change, such as the shares account's interest rate adjustment to 4% in the third year. This requires students to adapt their calculations and compare final outcomes, showcasing the dynamic nature of real-world financial mathematics.

ļ Please check the examination details below before entering your candidate information Candidates My work. Oth Centre Number Paper 2 (Calcu

View

Geometric Applications in GCSE Mathematics: Area and Practical Problem-Solving

Building on concepts frequently tested in Pearson edexcel gcse math exam preparation pdf, this section explores practical applications of area calculations for a trapezoidal floor plan. Students must demonstrate their ability to:

  • Calculate the area of a trapezium using the formula A = ½(a+b)h
  • Convert between units and work with scale
  • Solve real-world cost calculations

Example: For a trapezium with parallel sides of 16m and 10m, and height 7m: Area = ½(16+10)×7 = 91m²

The problem extends to budgeting calculations, requiring students to determine if £160 is sufficient for paint coverage at £16.99 per 5-liter tin, with each liter covering 2m².

ļ Please check the examination details below before entering your candidate information Candidates My work. Oth Centre Number Paper 2 (Calcu

View

Coordinate Geometry and Linear Equations

Essential topics from Mathematics non calculator paper higher level 2018 answers include working with coordinates and gradients. This section examines a problem involving:

  • Points A(5,9) and B(d,15) on a coordinate plane
  • Gradient calculations using the formula m = (y₂-y₁)/(x₂-x₁)
  • Solving linear equations to find unknown coordinates

Highlight: The gradient formula is key to solving coordinate geometry problems: m = (y₂-y₁)/(x₂-x₁)

Students must demonstrate understanding of how gradient relates to linear equations and use algebraic manipulation to solve for unknown values.

ļ Please check the examination details below before entering your candidate information Candidates My work. Oth Centre Number Paper 2 (Calcu

View

Standard Form and Number Operations

A fundamental component of revise edexcel gcse (9-1) mathematics higher revision workbook pdf involves manipulating numbers in standard form and performing calculations with scientific notation.

This section covers:

  • Converting between ordinary numbers and standard form
  • Operations with numbers in standard form
  • Significant figures and precision

Vocabulary: Standard form represents numbers as a × 10ⁿ where 1 ≤ a < 10 and n is an integer

The problems require students to convert 0.00008623 to standard form and perform calculations involving multiplication and addition of numbers in standard form, maintaining appropriate precision in final answers.

ļ Please check the examination details below before entering your candidate information Candidates My work. Oth Centre Number Paper 2 (Calcu

View

Solving Complex Ratio and Percentage Profit Problems in GCSE Mathematics

In this detailed exploration of a Mathematics non calculator paper higher level 2018 question, we'll break down how to solve a complex business mathematics problem involving paint mixing ratios and profit calculations. This type of question frequently appears in Edexcel GCSE Maths past papers and requires multiple steps of calculation.

The problem involves Robert, who makes green paint by mixing yellow and blue paint in a specific ratio. Working with ratios and percentages is a crucial skill tested in Pearson edexcel gcse math exam preparation. The question combines several mathematical concepts including ratio manipulation, cost calculations, and percentage profit determination.

Definition: Percentage profit is calculated by taking the difference between selling price and cost price, dividing by the cost price, and multiplying by 100.

To solve this systematically, we first determine that 50 litres of green paint in a 2:3 ratio means 20 litres of yellow paint and 30 litres of blue paint. The yellow paint costs £26 per 5-litre tin, while blue paint costs £48 per 10-litre tin. This requires careful calculation of total costs before determining the profit margin.

ļ Please check the examination details below before entering your candidate information Candidates My work. Oth Centre Number Paper 2 (Calcu

View

Advanced Profit Calculations and Business Mathematics Applications

The solution process demonstrates practical applications of mathematics in business contexts, a key component of the GCSE Maths past papers PDF with answers Higher curriculum. Understanding how to calculate costs and profits is essential for both academic success and real-world applications.

Example: Total cost calculation:

  • Yellow paint: (20÷5)×£26 = £104
  • Blue paint: (30÷10)×£48 = £144
  • Total cost = £248 for 50 litres

When selling the green paint in 10-litre tins at £66.96 each, we calculate the total revenue and then determine the percentage profit. This type of question tests students' ability to work methodically through multiple steps while maintaining accuracy in calculations.

The final step involves calculating the percentage profit using the formula: ((selling price - cost price) ÷ cost price) × 100. This yields a 35% profit, demonstrating how mathematical concepts directly apply to business scenarios.

Highlight: Remember to always show your working clearly when solving multi-step problems, as marks are often awarded for the process as well as the final answer.

Similar content

Know maths past paper 1 answer thumbnail

368

6518

10/11

maths past paper 1 answer

For gcse practice

Know GCSE Maths - Practice Higher Tier Calculator Paper (Answered + Marked) thumbnail

294

8849

11/9

GCSE Maths - Practice Higher Tier Calculator Paper (Answered + Marked)

Practice Exam Paper Tier: Higher

Know Module – Mensuration year 7 MATH thumbnail

7

447

11/10

Module – Mensuration year 7 MATH

NOTES

Know Maths flashcards thumbnail

18

941

10/11

Maths flashcards

Maths flashcards IGCSE/AQA/ Edexcel

Know Maths Area of shapes Year 7 Revision notes thumbnail

89

480

7

Maths Area of shapes Year 7 Revision notes

Area of shapes and how to work them out - Year 7 revision for test

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

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Knowunity is the #1 education app in five European countries

4.9+

Average app rating

15 M

Pupils love Knowunity

#1

In education app charts in 12 countries

950 K+

Students have uploaded notes

Still not convinced? See what other students are saying...

iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user

I love this app ❤️ I actually use it every time I study.

Subjects

/

Maths

/

Geometry and measure

/

2-dimensional shapes

Edexcel GCSE Higher Tier Mock Exam Solutions and Maths Past Papers with Answers

user profile picture

mrfantastic

@mrfantastic_zvoh

·

56 Followers

Follow

The comprehensive study of GCSE Maths past papers PDF with answers reveals essential preparation strategies for mathematics examinations at the higher tier level. Students aiming for success in their Mathematics non calculator paper higher level 2018 and similar assessments can benefit from systematic review approaches.

Edexcel GCSE Maths past papers and Maths genie resources provide invaluable practice materials for students preparing for higher-tier mathematics examinations. These resources include detailed solutions covering various mathematical concepts, from basic arithmetic to advanced algebra and geometry. The Pearson edexcel gcse math exam preparation materials are particularly useful as they align perfectly with the current curriculum and assessment standards. Students can access past papers from different years, including the crucial Mathematics non calculator paper higher level 2018 answers, which helps them understand the examination format and marking criteria.

The revision process becomes more structured when using Pearson edexcel gcse (9-1) mathematics higher answers pdf alongside practice papers. These resources typically include step-by-step solutions, enabling students to understand complex mathematical concepts thoroughly. The revise edexcel gcse (9-1) mathematics higher revision workbook pdf offers systematic practice exercises that build confidence in handling non-calculator questions, algebraic manipulation, geometric proofs, and statistical analysis. The combination of past papers, mark schemes (such as the AQA Maths 2018 Paper 1 mark scheme), and comprehensive revision materials ensures students are well-prepared for their examinations. Regular practice with these resources helps develop problem-solving skills, time management abilities, and familiarity with different question styles, ultimately leading to improved performance in GCSE mathematics examinations.

24/02/2023

2302

 

10/11

 

Maths

59

ļ Please check the examination details below before entering your candidate information Candidates My work. Oth Centre Number Paper 2 (Calcu

Sign up to see the content. It'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 GCSE Mathematics Exam Format and Instructions

The Pearson edexcel gcse math exam preparation begins with essential examination details for the Higher Tier Mathematics Paper 2 (Calculator). This comprehensive assessment allocates 1 hour and 30 minutes for students to demonstrate their mathematical proficiency across various topics.

Required materials include standard mathematical instruments: a ruler graduated in centimetres and millimetres, protractor, pair of compasses, writing implements (black ink or ball-point pen, HB pencil), and an eraser. Most importantly, a calculator is permitted for this paper, with π taken as 3.142 unless otherwise specified.

The examination carries a total of 80 marks, with individual question weightings clearly indicated in brackets. This marking scheme helps candidates manage their time effectively and prioritize responses appropriately during the assessment.

Highlight: Candidates must show all working steps clearly to maximize potential marks, even if the answer space provided exceeds requirements.

ļ Please check the examination details below before entering your candidate information Candidates My work. Oth Centre Number Paper 2 (Calcu

Sign up to see the content. It'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 Set Theory and Venn Diagrams in GCSE Mathematics

This section of the GCSE Maths past papers PDF with answers Higher focuses on set theory using Venn diagrams. The question presents three sets (A, B, and C) containing even numbers between 1 and 25, requiring students to accurately represent their relationships.

The problem demonstrates the practical application of set notation and probability concepts, essential components of the higher-tier curriculum. Students must carefully analyze the overlapping regions between sets and calculate probability based on set intersections.

Definition: Set notation represents collections of numbers or objects, while intersections (∩) show elements common to multiple sets.

ļ Please check the examination details below before entering your candidate information Candidates My work. Oth Centre Number Paper 2 (Calcu

Sign up to see the content. It'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 Data Representation and Statistical Analysis

This segment from Mathematics non calculator paper higher level 2018 answers examines scatter graphs and lines of best fit. The question evaluates students' ability to critically analyze statistical representations of height and weight data for rugby players.

The exercise tests understanding of correlation, appropriate scaling, and the proper construction of lines of best fit. Students must identify errors in the given representation, demonstrating their grasp of statistical concepts and data visualization principles.

Example: A correctly drawn line of best fit should pass through approximately equal numbers of points above and below the line, representing the overall trend in the data.

ļ Please check the examination details below before entering your candidate information Candidates My work. Oth Centre Number Paper 2 (Calcu

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Geometric Reasoning and Angle Properties

This geometry question from Edexcel GCSE Maths past papers tests understanding of parallel lines, angles in triangles, and angle relationships. Students must apply multiple geometric principles to determine an unknown angle.

The solution requires systematic application of angle properties including:

  • Corresponding angles
  • Angles in triangles summing to 180°
  • Angles on a straight line equaling 180°
  • Co-interior angles

Vocabulary: Co-interior angles are pairs of angles formed when two parallel lines are cut by a transversal, positioned on the same side of the transversal and between the parallel lines.

ļ Please check the examination details below before entering your candidate information Candidates My work. Oth Centre Number Paper 2 (Calcu

Sign up to see the content. It'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 GCSE Mathematics: Compound Interest and Financial Calculations

The study of compound interest forms a crucial component of GCSE Maths past papers PDF with answers Higher. When examining financial calculations, students must understand how interest rates affect different types of accounts over multiple years.

In this detailed analysis, we explore a problem from Northern Bank featuring two account types - a cash savings account with 2.5% annual interest and a shares account with 3.5% annual interest. For investments of £2000 and £1600 respectively, students must calculate compound interest over three years, demonstrating mastery of exponential growth calculations.

Definition: Compound interest is interest calculated on both the initial principal and accumulated interest from previous periods.

The complexity increases when account terms change, such as the shares account's interest rate adjustment to 4% in the third year. This requires students to adapt their calculations and compare final outcomes, showcasing the dynamic nature of real-world financial mathematics.

ļ Please check the examination details below before entering your candidate information Candidates My work. Oth Centre Number Paper 2 (Calcu

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Geometric Applications in GCSE Mathematics: Area and Practical Problem-Solving

Building on concepts frequently tested in Pearson edexcel gcse math exam preparation pdf, this section explores practical applications of area calculations for a trapezoidal floor plan. Students must demonstrate their ability to:

  • Calculate the area of a trapezium using the formula A = ½(a+b)h
  • Convert between units and work with scale
  • Solve real-world cost calculations

Example: For a trapezium with parallel sides of 16m and 10m, and height 7m: Area = ½(16+10)×7 = 91m²

The problem extends to budgeting calculations, requiring students to determine if £160 is sufficient for paint coverage at £16.99 per 5-liter tin, with each liter covering 2m².

ļ Please check the examination details below before entering your candidate information Candidates My work. Oth Centre Number Paper 2 (Calcu

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Coordinate Geometry and Linear Equations

Essential topics from Mathematics non calculator paper higher level 2018 answers include working with coordinates and gradients. This section examines a problem involving:

  • Points A(5,9) and B(d,15) on a coordinate plane
  • Gradient calculations using the formula m = (y₂-y₁)/(x₂-x₁)
  • Solving linear equations to find unknown coordinates

Highlight: The gradient formula is key to solving coordinate geometry problems: m = (y₂-y₁)/(x₂-x₁)

Students must demonstrate understanding of how gradient relates to linear equations and use algebraic manipulation to solve for unknown values.

ļ Please check the examination details below before entering your candidate information Candidates My work. Oth Centre Number Paper 2 (Calcu

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Standard Form and Number Operations

A fundamental component of revise edexcel gcse (9-1) mathematics higher revision workbook pdf involves manipulating numbers in standard form and performing calculations with scientific notation.

This section covers:

  • Converting between ordinary numbers and standard form
  • Operations with numbers in standard form
  • Significant figures and precision

Vocabulary: Standard form represents numbers as a × 10ⁿ where 1 ≤ a < 10 and n is an integer

The problems require students to convert 0.00008623 to standard form and perform calculations involving multiplication and addition of numbers in standard form, maintaining appropriate precision in final answers.

ļ Please check the examination details below before entering your candidate information Candidates My work. Oth Centre Number Paper 2 (Calcu

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Solving Complex Ratio and Percentage Profit Problems in GCSE Mathematics

In this detailed exploration of a Mathematics non calculator paper higher level 2018 question, we'll break down how to solve a complex business mathematics problem involving paint mixing ratios and profit calculations. This type of question frequently appears in Edexcel GCSE Maths past papers and requires multiple steps of calculation.

The problem involves Robert, who makes green paint by mixing yellow and blue paint in a specific ratio. Working with ratios and percentages is a crucial skill tested in Pearson edexcel gcse math exam preparation. The question combines several mathematical concepts including ratio manipulation, cost calculations, and percentage profit determination.

Definition: Percentage profit is calculated by taking the difference between selling price and cost price, dividing by the cost price, and multiplying by 100.

To solve this systematically, we first determine that 50 litres of green paint in a 2:3 ratio means 20 litres of yellow paint and 30 litres of blue paint. The yellow paint costs £26 per 5-litre tin, while blue paint costs £48 per 10-litre tin. This requires careful calculation of total costs before determining the profit margin.

ļ Please check the examination details below before entering your candidate information Candidates My work. Oth Centre Number Paper 2 (Calcu

Sign up to see the content. It'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 Profit Calculations and Business Mathematics Applications

The solution process demonstrates practical applications of mathematics in business contexts, a key component of the GCSE Maths past papers PDF with answers Higher curriculum. Understanding how to calculate costs and profits is essential for both academic success and real-world applications.

Example: Total cost calculation:

  • Yellow paint: (20÷5)×£26 = £104
  • Blue paint: (30÷10)×£48 = £144
  • Total cost = £248 for 50 litres

When selling the green paint in 10-litre tins at £66.96 each, we calculate the total revenue and then determine the percentage profit. This type of question tests students' ability to work methodically through multiple steps while maintaining accuracy in calculations.

The final step involves calculating the percentage profit using the formula: ((selling price - cost price) ÷ cost price) × 100. This yields a 35% profit, demonstrating how mathematical concepts directly apply to business scenarios.

Highlight: Remember to always show your working clearly when solving multi-step problems, as marks are often awarded for the process as well as the final answer.

Similar content

Maths - maths past paper 1 answer

For gcse practice

368

6518

4

Know maths past paper 1 answer thumbnail

Maths - GCSE Maths - Practice Higher Tier Calculator Paper (Answered + Marked)

Practice Exam Paper Tier: Higher

294

8849

6

Know GCSE Maths - Practice Higher Tier Calculator Paper (Answered + Marked) thumbnail

Maths - Module – Mensuration year 7 MATH

NOTES

7

447

0

Know Module – Mensuration year 7 MATH thumbnail

Maths - Maths flashcards

Maths flashcards IGCSE/AQA/ Edexcel

18

941

1

Know Maths flashcards thumbnail

Maths - Maths Area of shapes Year 7 Revision notes

Area of shapes and how to work them out - Year 7 revision for test

89

480

8

Know Maths Area of shapes Year 7 Revision notes thumbnail

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

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Knowunity is the #1 education app in five European countries

4.9+

Average app rating

15 M

Pupils love Knowunity

#1

In education app charts in 12 countries

950 K+

Students have uploaded notes

Still not convinced? See what other students are saying...

iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user

I love this app ❤️ I actually use it every time I study.