Maths545Updated 5 Sept 202624 pages

Edexcel Foundation Past Papers June 2023

Report
B
Bin™@user_mqji6k9dpc
This is a Pearson Edexcel GCSE Mathematics Foundation Tier Paper 2 from June 2023. It's a calculator paper worth 80 marks total, giving you a solid overview of the key topics you'll face in your actual GCSE maths exam.
Edexcel pastpaper foundation  – page 1

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

Exam Information and Instructions

Getting ready for your GCSE maths exam means knowing exactly what to expect on the day. This foundation tier paper gives you 1 hour 30 minutes to tackle 80 marks worth of questions.

You'll need the usual maths kit: ruler, protractor, compasses, calculator, and pencil. The formulae sheet is provided, so don't stress about memorising every formula. If your calculator doesn't have a π button, use 3.142 instead.

The golden rules are simple: show all your working, attempt every question, and use the mark allocations to guide your time. Higher mark questions deserve more time and detailed working.

💡 Top Tip: The marks in brackets tell you how much working the examiners expect - use this as your guide!

Edexcel pastpaper foundation  – page 2

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

Basic Number Skills (Questions 1-5)

Quick-fire questions test your fundamental number skills right from the start. Question 1 asks you to round 6184 to the nearest hundred (answer: 6200), whilst question 2 wants 0.7 as a fraction thats7/10that's 7/10.

Unit conversion appears in question 3 - converting 9 metres to centimetres means multiplying by 100, giving you 900 cm. These conversions are dead common in GCSE papers.

Algebra and multiples round off this section. Simplifying 3 × 4t gives you 12t, and from the list 20, 40, 60, 80, 100, only 100 is a multiple of 25. These starter questions build your confidence before tackling trickier problems.

💡 Remember: Each question is worth just 1 mark, so don't overthink them - trust your first instinct!

Edexcel pastpaper foundation  – page 3

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

Probability Fundamentals (Question 6)

Probability scales help you visualise how likely events are to happen. When Shari rolls a standard dice, getting a 7 is impossible since dice only show 1-6, so that probability sits at 0 on the scale.

Even numbers on a dice are 2, 4, and 6 - that's 3 out of 6 possible outcomes. This gives you a probability of 3/6 = 1/2, which sits exactly in the middle of your probability scale.

Visual representation of probability makes these concepts much clearer than just working with fractions. The scale from 0 to 1 shows you immediately whether something is impossible, certain, or somewhere in between.

💡 Quick Check: Probability 0 = impossible, probability 1 = certain, probability 1/2 = equally likely!

Edexcel pastpaper foundation  – page 4

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

Measurement and Triangle Properties (Question 7)

Accurate measurement skills are crucial when the question tells you a diagram is drawn to scale. You'll need to use your ruler and protractor carefully to measure length AC and angle B - these marks depend on your precision.

Triangle classification becomes easier when you spot key features. The triangle PQR has two equal sides (OP = OR), which immediately tells you it's an isosceles triangle.

Mathematical vocabulary matters in GCSE maths. Don't just say "triangle with two equal sides" - use the proper term "isosceles triangle" to show you know your geometric language.

💡 Measurement Tip: Double-check your ruler and protractor readings - these questions often catch students who rush!

Edexcel pastpaper foundation  – page 5

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

Scale and Sequences (Questions 8-9)

Map scales translate easily once you know the method. With a scale of 1 cm = 4 km, you multiply the map distance by 4 to get real distance. So 16 cm on the map means 16 × 4 = 64 km in reality.

Arithmetic sequences follow a pattern you can spot quickly. The sequence 3, 8, 13, 18, 23 increases by 5 each time, so the next term is 28. This constant difference is your key to cracking sequence problems.

Ratios in sequences require you to compare terms carefully. The ratio of the second term (8) to the fourth term (18) is 8:18, which simplifies to 4:9 by dividing both numbers by their highest common factor.

💡 Pattern Spotting: Always look for the difference between consecutive terms first - it's usually constant in foundation tier questions!

Edexcel pastpaper foundation  – page 6

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

Graph Interpretation (Question 10)

Reading graphs accurately means following the lines carefully to extract information. For 4 hours of parking, trace up from 4 on the x-axis to meet the line, then across to read £6 on the y-axis.

Reverse graph reading works backwards from the cost to find time. If Justin pays £9, find this on the y-axis, trace across to the line, then down to see he parked for 6 hours.

Time calculations need careful thought. Justin arrived at 0800 (8:00 AM) and parked for 6 hours, so he left at 1400 (2:00 PM). Converting between 24-hour and 12-hour time is a common requirement.

💡 Graph Strategy: Use a ruler edge to help trace lines accurately - it prevents reading errors that cost easy marks!

Edexcel pastpaper foundation  – page 7

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

Data Analysis and Proof (Question 11)

Weighted calculations involve multiplying each weight by the number of people, then adding everything up. You're not just finding an average - you need the total weight of all 16 people combined.

Systematic working prevents mistakes: (1×40) + (2×50) + (4×60) + (5×70) + (3×80) + (1×90). This gives you 40 + 100 + 240 + 350 + 240 + 90 = 1060 kg.

Proving statements requires you to show your calculation clearly, then state the conclusion. Since 1060 kg < 1200 kg, you've proven the total weight is indeed less than 1200 kg.

💡 Organisation Tip: Set out weighted calculations in a clear table format to avoid missing any values!

Edexcel pastpaper foundation  – page 8

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

Reflection Geometry (Question 12a)

Finding mirror lines requires you to identify the line of symmetry between the original shape and its reflection. The mirror line sits exactly halfway between corresponding points on shapes A and B.

Perpendicular distances from any point to the mirror line must equal the distance from the mirror line to the corresponding reflected point. This creates the perfect symmetry you see in reflections.

Drawing accuracy matters when constructing the mirror line. Use your ruler to ensure the line is straight and positioned correctly between the two shapes.

💡 Reflection Check: Fold your paper along your mirror line - if the shapes match up perfectly, you've got it right!

Edexcel pastpaper foundation  – page 9

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

Common Reflection Mistakes (Question 12b)

Understanding reflection errors helps you avoid them in your own work. When reflecting in the x-axis, the x-coordinates stay the same whilst the y-coordinates change sign (positive becomes negative, negative becomes positive).

Alex's mistake was probably reflecting in the wrong axis or moving the shape instead of reflecting it properly. The most common error is confusing x-axis and y-axis reflections.

Explaining mistakes clearly earns you marks even when you're analysing someone else's error. Use proper mathematical language to describe what should have happened versus what actually happened.

💡 Reflection Rule: X-axis reflection changes y-coordinates, Y-axis reflection changes x-coordinates!

Edexcel pastpaper foundation  – page 10

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

Fraction Problem Solving (Question 13)

Fraction problems often involve finding the whole when you know a part. If 50 teachers represent 1/16 of the total, you need to work out what the complete fraction 16/1616/16 equals.

Method matters: If 1/16 = 50 people, then 16/16 = 50 × 16 = 800 people total. Alternatively, divide 50 by 1/16, which means 50 ÷ 1/161/16 = 50 × 16 = 800.

Real-world context makes these problems more meaningful. Understanding that schools have teachers, students, and support staff helps you check whether 800 people sounds reasonable for a school's total population.

💡 Fraction Strategy: When you know the part, multiply by the denominator to find the whole - it's often the quickest route!

We thought you’d never ask...

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.

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

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

Similar content

Maths

GCSE Maths M2 Exam Insights

Explore the key concepts and problem-solving strategies from the CCEA GCSE Mathematics Module 2 Summer 2022 exam. This resource covers essential topics such as measurement conversions, statistical measures, equations, and geometry, providing students with a comprehensive understanding of the material. Ideal for exam preparation and revision.

112,41446
Maths

Mathematical Concepts Overview

Explore essential mathematical concepts including polynomials, sequences, indices, and statistical averages. This comprehensive summary covers key topics such as arithmetic operations, standard form, and cumulative frequency, providing a solid foundation for further study. Ideal for students preparing for exams or seeking to reinforce their understanding of mathematics.

1132710
Maths

GCSE Higher Maths Exam

Explore the key concepts from the GCSE OCR Higher Maths Paper 5, including geometry, inequalities, cubic equations, and probability. This resource covers essential topics such as the equation of a line, volume formulas, and statistical averages, providing a comprehensive overview for exam preparation. Ideal for students seeking to enhance their understanding and performance in mathematics.

113,09068
Maths

Percentage Calculations Practice

Enhance your math skills with this focused practice on percentage calculations, including estimating costs, prime factorization, and monthly payment breakdowns. Ideal for exam preparation, this resource covers key concepts such as percentage conversions and arithmetic operations. Perfect for students looking to improve their understanding of financial mathematics.

11147
Maths

Year 8 Maths AQA Exam

Explore the AQA Year 8 Term 3 Main Paper 2, featuring comprehensive solutions to key mathematical concepts including geometry, percentages, sequences, and data representation. This resource covers essential topics such as area calculations, properties of shapes, and survey analysis, making it ideal for exam preparation and revision.

83,576138
Maths

Integration Techniques Overview

Comprehensive Year 1/AS notes on integration techniques, including vertical and horizontal areas between curves, limits of integration, and the constant of integration. This resource features worked examples and key concepts in integral calculus, making it essential for mastering integration in Edexcel A Level Maths.

1295816

Most popular content: Maths

Maths

Comprehensive Maths Concepts

Explore essential mathematical concepts including powers, geometry, statistics, and probability. This resource features 65 pages of detailed explanations, diagrams, and examples to enhance your understanding of topics such as right triangles, volume calculations, and data representation. Ideal for students seeking to strengthen their numeracy skills and grasp complex mathematical principles.

1180,3836,327
Maths

GCSE Maths (Higher) // Revision Guide

The only GCSE maths (higher) revision guide you need to get a grade 9! Contains every topic, each with all potential question types and their solutions.

112,72462
Maths

Comprehensive Maths Concepts

Explore essential mathematical concepts including polynomial theorems, logarithmic properties, trigonometric functions, and integration techniques. This resource covers everything from solving inequalities to understanding exponential functions, providing a solid foundation for A-level mathematics. Ideal for students aiming for top grades.

1222,1041,822
Maths

Foundation Maths Exam Solutions

Explore detailed solutions for the Foundation Tier Non-Calculator Maths exam. This resource covers key concepts such as probability, volume calculations, data representation, and more. Perfect for students preparing for their GCSE Maths exam, with step-by-step explanations and examples.

1021,3871,243
Maths

GCSE Maths 2018 Exam Insights

Explore the key concepts from the 2018 GCSE Maths Paper 2, including compound interest, probability, standard form, and geometric transformations. This comprehensive summary covers essential topics such as interest rates, area calculations, and Venn diagrams, providing students with a clear understanding of the exam's requirements. Ideal for exam preparation and practice.

98,234411
Maths

Essential Maths Formulas

Explore key mathematical formulas and concepts essential for A-Level Maths, including differentiation, integration, trigonometry, and probability. This comprehensive resource covers differentiation rules, integration techniques, and trigonometric identities, providing students with the tools needed for success in their studies.

123,220105
Maths

Pythagorean Theorem Explained

Explore the Pythagorean Theorem (a² + b² = c²) with clear examples and step-by-step calculations. This summary covers key concepts such as hypotenuse and right triangles, making it essential for understanding geometry. Ideal for students preparing for exams or needing a quick reference.

115775
Maths

Trigonometric Functions Overview

Explore the fundamentals of trigonometry, including the tangent, sine, and cosine functions. This summary covers key concepts such as SOH CAH TOA, trigonometric ratios, and methods for finding angles and sides in right triangles. Ideal for students preparing for exams or needing a quick reference.

91,77659
Maths

GCSE Maths Foundation Checklist

Comprehensive revision checklist covering essential topics for the GCSE Maths Foundation tier, including statistics, geometry, algebra, probability, and trigonometry. Perfect for students aiming to pass their exams with confidence.

113,89552

Most popular content

Sociology

Sociology of Families: Comprehensive Revision

Dive into an extensive overview of family dynamics, perspectives, and patterns in sociology. This resource covers key concepts such as family diversity, gender roles, marriage, and the impact of social policies on family structures. Perfect for A-Level Sociology students preparing for Paper 2.

1274,1462,307
Sociology

Sociology of Education Overview

Explore comprehensive A-Level Sociology notes on the education system, covering key theories, policies, and sociological perspectives. This resource includes insights on marketisation, gender roles, cultural deprivation, and educational inequalities, providing a thorough understanding of how education shapes social stratification and individual achievement. Ideal for exam preparation and in-depth study.

12103,2843,045
Biology

A-Level Biology Year 1 Overview

Comprehensive summary of AQA A-Level Biology Year 1, covering key topics such as cellular structure, protein synthesis, immune response, gas exchange, and more. Ideal for exam preparation and understanding biological concepts. Includes detailed insights into cellular processes, biological classification, and the circulatory system.

1215,234704
Biology

AQA Biology: Key Concepts

Explore essential AQA Biology topics including Photosynthesis, Respiration, Homeostasis, Genetics, and Ecology. This comprehensive knowledge organizer covers key concepts such as energy transfer, hormonal control, and genetic variation, providing a solid foundation for your studies. Ideal for exam preparation and understanding biological processes.

109,237316
Maths

Comprehensive Maths Concepts

Explore essential mathematical concepts including powers, geometry, statistics, and probability. This resource features 65 pages of detailed explanations, diagrams, and examples to enhance your understanding of topics such as right triangles, volume calculations, and data representation. Ideal for students seeking to strengthen their numeracy skills and grasp complex mathematical principles.

1180,3836,327
Sociology

Comprehensive Crime & Deviance Overview

Explore an extensive revision of crime and deviance topics, including theories, types of crime, and the impact of media. This resource covers key concepts such as Marxism, functionalism, gender and crime, and the influence of globalization on criminal behavior. Ideal for students seeking a thorough understanding of criminology and its various theories. Type: Full Topic Revision.

1251,8761,409
Criminology

Criminal Justice Overview

Explore key concepts in criminal justice, including the trial process, roles of court personnel, types of offenses, and evidence handling. This comprehensive summary covers essential topics such as jury strengths and weaknesses, the role of the CPS, and the impact of media on trials. Ideal for students preparing for assessments in criminology. Achieved a B grade.

133,43872
Biology

Biology Paper 1 Overview

Comprehensive study notes covering key concepts in cellular biology, human digestion, respiration, photosynthesis, and the circulatory system. This resource includes detailed explanations of cell structures, enzyme functions, nutrient absorption, and the impact of environmental factors on biological processes. Ideal for students preparing for Biology Paper 1 exams.

1115,469391
English Literature

An Inspector Calls: Character Insights

Explore in-depth analysis and key quotes for characters in J.B. Priestley's 'An Inspector Calls'. This resource covers Gerald Croft, Inspector Goole, Sheila Birling, Mrs. Birling, Eric Birling, and Eva Smith, focusing on themes of class, gender roles, and social responsibility. Ideal for students aiming for Grade 8 and above.

1125,742914

Students love us, and so will you.

4.6/5App Store
4.7/5Google Play
Stefan SiOS 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.

Samantha KlichAndroid 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.

AnnaiOS 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.