Further maths igcse

Further maths igcse. develops learners’ feel for quantity, patterns, and relationships, encouraging learners’ reasoning and analytical skills. Note the following: kx differentiates to k. (4i + 2j) + 2 (pi – j) Expand the brackets. It may be thought of as a mathematical “machine”. Topic Tests - Coordinate Geometry. AQA GCSE Further Maths (8360) legacy past papers, mark schemes and specimen papers. We can solve some of these by inspection. Answers with fewer digits are automatically incorrect, but the isw rule may allow the mark to be awarded before the final answer is given. Honestly (Only if ur currently gettings 7+/8s in math or higher), You can do it and get an A/A*. Our extensive collection of resources is the perfect tool for students aiming to ace their exams and for teachers seeking reliable resources to support their students' learning journey. Topic Tests - Algebra. so 10 x differentiates to 10. SAT Practice Tests; SAT Other Helpful Resources; Past Papers/AQA. But that was with 10 months of school, you have about 5 months. further study. (a) Find CD in terms of a and b. 4 and E5. For example, the equation 2 x = 10 does not have a clear answer. This looks worse than it is! For powers of x. ∠ A = 90 ° Any labelling given can be ignored. Browse our range of Edexcel IGCSE Maths Past Papers below. Even if you don't want to stud 2 days ago · Watch this space for free Edexcel and AQA practice papers and solutions for Paper 2 from Maths Planner. If you do spot the factorisation, (2x – 9) (8x – 5), then use that method instead. Both question papers must be taken in the same series. Insert: formulae sheet: Paper 1; Paper 2 - June 2024. Expand and simplify to give a quadratic equation in. Algebra. STEP 1 Multiply the number in front by the power. or. Further Maths GCSE is an extra qualification usually studied alongside GCSE Maths. Sequences, Functions & Graphs. We take pride in the collaborative and creative spirit of our community, and we I want to help you achieve the grades you (and I) know you are capable of; these grades are the stepping stone to your future. For the circle and straight line. Prior knowledge Changes to this syllabus…Read more CIE Further Maths 9231 Syllabus (2020-2022) › This section includes recent IGCSE Further Maths past papers from . translation. places a strong emphasis on solving 3. Constructed to extend knowledge of the further pure mathematics topics in the specifications for the Pearson Edexcel International GCSE in Mathematics (Specification A) (Higher Tier) and the Pearson Edexcel International GCSE in Mathematics A matrix is a rectangular grid (array) of elements (numbers or letters) arranged in rows and columns. IGCSE FPM Paper 1 The IGCSE Further Mathematics course builds upon the content of GCSE Mathematics. All the resources you discover on our website are exclusively created by the talented members of our Discord server. e. To transform ( x, y) by the matrix. GCSE Further Maths practice papers for the latest AQA exam board. ( x, y) is the object and ( x ', y ') is the image. STEP 2. Ensure you are familiar with the Revision Notes Vectors – Basics. 1c 2 marks. AQA Level 2 Certificate in Further Mathematics is linear. For example, 1, -4, 16, -64, 256, … is a sequence with the rule ‘start at one and multiply each number by negative four’. Practice Paper - Set 2. Composite Functions Video Practice Questions Answers. The AQA Level 2 Certificate in Further Mathematics is an untiered Level 2 linear qualification for students who. Solutions of f (x) = 0 are where the graph of y = f (x) crosses the x-axis. Calculations may refer to I; the identity matrix. Edexcel International GCSE (9-1) June 2023. Insert (Modified A4 18pt): formulae sheet: Paper 1; Paper 2 - June 2024. Differentiate for tangent and normal equations – Further Maths. I can only imagine how hard further math would be, I Point has coordinates and point has coordinates . Vectors are given in column vector form. ∠ B = ∠ C = 45 ° All 3 correct w/o working scores M1A1A1. f. General Principles for Further Pure Mathematics Marking (but note that specific mark schemes may sometimes override these general principles) Method mark for solving a 3 term quadratic equation: 1. English As A Second Language – 9280; GCSE. The resources below are aimed at those studying for this Sigma notation is used to show the sum of a certain number of terms in a sequence. It also gives an introduction to calculus and matrices and develops further skills in trigonometry, functions and graphs. = 2b í a. They are used a lot in computer / data science. You should also be able to find a formula for the nth term of a linear sequence in terms of n. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths; More. Plot the points (0, 3), (1, 0) (3, 0) and (4, 3) and draw a smooth u-shaped curve through them. Solve for. He has had nine successful years as a secondary school teacher, specialising in A-Level Further Maths and running extension classes for Oxbridge Maths applicants. if then a = p, b = q, c = r and d = s. View Answer. [2] How did you do? View related notes. 5) = 30°. Substitute the vectors into the left-hand side. I want to help you achieve the grades you (and I) know you are capable of; these grades are the stepping stone to your future. In this course exponentials will be in either of the following forms. Further Pure 1. Rewrite the right-hand side using the law of indices: Now that the bases are the same with no extra components the powers can be equated and solved. Product Rule for Counting Video Practice Questions Answers. Revision notes for the Edexcel IGCSE Maths syllabus, written by the Maths experts at Save My Exams. Two vectors are given by a = 4 i + 2 j and b = pi – j where p is an unknown constant. IGCSE. Nov 21, 2019 · GCSE Revision Cards. The 2j and -2j cancel. are likely to progress to A-Level study in Mathematics and possibly . Biology (8461) Business (8132) Chemistry (8462) Computer Science & IT (8520) Economics (8136 An exponential is a function where the power is a variable, usually. Each textbook comes packed with additional online content that supports independe nt learning, and they all tie in with the free qualification support, giving you the most Nov 21, 2019 · The Corbettmaths Practice Questions on Factor Theorem for Level 2 Further Maths. Further Maths Model Answers. A Level Maths and Further Maths textbooks retain all the features you know and love about the current series, whilst being fully updated to match the new specifications. Statistics & Probability. If you cannot spot the factorisation, use the quadratic formula. 1/1/1/1/1/ Turn over Instructions •• Use black ink or ball‑point pen. Illustrious-Bee6193. Where and are rational numbers, and is a variable. From Cambridge IGCSE Mathematics learners can progress to Cambridge IGCSE Additional Mathematics or straight A place for IAL & IGCSE Edexcel candidates to connect and communicate as well as have access to resources and help from others all across the world. Edexcel IGCSE Further Maths. The order of a matrix is its "number of rows" × "number of columns". The plural of "matrix" is " matrices ". Further Pure 3. By multiplying both sides of the equation by. If you like, check on a calculator that both sin 30° and sin 150° give 0. At IGCSE vectors are used in geometry – eg. Formula: Rewrite using the brackets law. If asked to use the graph of y = f (x) to solve a different equation (the question will say something like “by drawing a suitable straight line”) then: Rearrange the equation to be solved into f (x) = mx + c and draw the The solutions to the equation sin x = 0. Nov 21, 2019 · The Corbettmaths Practice Questions on Matrices for Level 2 Further Maths. Sketch curve using increasing/decreasing and minima/maxima points – Further Maths. You must read the whole syllabus before planning your teaching programme. International GCSE (9-1) qualifications are linear, and only the maximum mark and grade boundaries for the overall qualification are available in It is part of a suite of International GCSE qualifications offered by Pearson. 5-a-day Workbooks. The more he taught maths, the more he appreciated its beauty. Welcome to Corbettmaths! Home to 1000's of maths resources: Videos, Worksheets, 5-a-day, Revision Cards and much more. Harder questions may lead to simultaneous equations being formed. It is an excellent qualification for extending high-attaining students beyond the IGCSE/GCSE course and helping prepare them for A-level Maths and/or Further Maths. The first solution comes from your calculator (by taking inverse sin of both sides) x = sin -1 (0. Even if you don't want to stud This IGCSE Further Pure Maths course will develop mathematical knowledge as a key life skill, and as a basis for more advanced study. Further Pure Mathematics; Geography; Human Biology; ICT; Information Communication Technology (ICT) Mathematics B; Maths; Physics; SAT. The term "Higher and Further Mathematics", and the term "Advanced Level Mathematics", may also refer to any of several advanced mathematics courses at many institutions. Exam Papers. Level 2 Further Maths. Helping students achieve top grades in Maths and Physics at A-Level/GCSE/IB for over 6 years. 5. Here, you'll find an array of revision notes, topic questions, fully explained model answers, past exam papers and more, meticulously organized to STEP 1. 2. Add the vectors by adding the components. These include the skill of working with mathematical information, as well as the ability to think logically and independently, consider accuracy, model situations mathematically, analyse results and reflect on findings. How it’s assessed. Specification. Topic Tests - Calculus. GCSE Further Maths. Write ( x, y) as a column vector, Use matrix multiplication to work out , which gives. 4. The AQA Level 2 Qualification in Further Mathematics is often run as an enrichment activity or extra-curricular club. Logarithms allow use to solve more complicated problems. Terminal Assessments. Students take two question papers. Session Solutions are always read off the x-axis. Further Maths – Integration Curves. International GCSE in Further Pure Mathematics Formulae sheet Mensuration Surface area of sphere = 4πr2 Curved surface area of cone = πr × slant height Volume of sphere = 4 3 πr3 Series Arithmetic series Sum to n terms, S n n =+ []an − d 2 21 Geometric series Sum to n terms, S ar n r n = − − () 1 1 Sum to infinity, S a r ∞ = r 1 − AQA Further GCSE Maths is a level 2 course and will help students stretch their knowledge beyond GCSE. Here, you'll find an array of revision notes, topic questions, fully explained model answers, past exam papers and more, meticulously : relevant, engaging, emphasising the importance of further pure mathematics at International GCSE Level. Showing 32 results. For the new Pearson Edexcel International GCSE (9–1) Further Pure Mathematics, with progression, international relevance, exam practice and support at their core. IGCSE Further Pure Mathematics. You may see this referred to as the Pythagorean identity. Work out the value of . All of the following are examples of exponentials you may encounter. 4 to 3 s. The expression to the right of the Σ tells you what is being summed. IGCSE Past Paper Collection. Further Maths Share. 4i + 2j + 2pi – 2j. When I consider the hardest questions I have seen in my many years as a maths teacher, it probably wouldn’t be in the top 10, but it caused an outcry online at the time. Published 12 Jan 2024 | PDF | 385 KB. Formula: Edexcel IGCSE Past Papers 2023. Understanding the pattern for will help you expand any binomial with an integer power. They’re available free to teachers and students, although only teachers can access the most recent papers sat within the past 12 months. Use a calculator to find each solution. STEP 2 Take one off the power (reduce the power by 1) 2 x6 differentiates to 12 x5. Practice Paper - Set 4. Content from any part of the specification may be assessed. [4] Nov 21, 2019 · The Corbettmaths Practice Questions on Sequences for Level 2 Further Maths. ĺ The point E lies on AB produced such that OE ĺ. Binomial just means the sum or difference of two terms, e. Published 12 Jan 2024 | PDF | 703 KB. ago. Integration – Further Maths. A geometric sequence can be. b is a constant that makes the first term “work”. Further Pure Mathematics - January 2023 - Paper 2R - MS. Surds (rationalising denominators) Video Practice Questions Answers. For example, for the equation 2 x = 8 we know that x must be 3. Use the formula. Let be 'point 1', so and. For indicating that the centre is at the midpoint of BC. Number. this is also called a column matrix or a column vector. 1 4 marks. Depending on local university entrance requirements, students may be able to use it to progress directly to university courses in mathematics or some other subjects. The syllabus aims to build learners’ confidence by helping them develop a feel for numbers, patterns and relationships, and places a strong emphasis on solving problems and presenting and interpreting results. The second solution comes from the symmetry of the graph y Worked example. and are both common variables to use when writing The CCEA GCSE Further Mathematics specification encourages students to extend their mathematical skills, knowledge and understanding. can be equal to 1, resulting in or. Topic Tests - Geometry. Paper 1: 105 mins, 80 marks, non-calculator, 50%. 80 marks. GCSE Revision Cards. The course takes some topics from GCSE A point ( x, y) in a 2D plane can be transformed on to another point ( x ', y ') by a matrix, M. Σ stands for ‘ sum ’. In mechanics vectors represent velocity, acceleration and forces. A Level course in further mathematics and provides a foundation for the study of further mathematics at Cambridge International A Level. The GCSE maths grade is the one that matters. It is also suitable as part of a A function is a combination of one or more mathematical operations that takes a set of numbers and changes them into another set of numbers. Method must be complete (ie reach a value for one angle) and formula used must be correct and values must be substituted into a correct formula. decreasing (0 < r < 1) If the common ratio is a negative number the terms will alternate between positive and negative values. look for times at which. ĺ ĺ In Figure 1, OA = a and OB = b. Back to past papers menu. You should be able to recognise and continue a linear sequence. The symbol Σ is the capital Greek letter sigma. IGCSE Further Maths. elements on the left-hand side must equal their corresponding element on the right-hand side. Students design mathematical models that allow them to use problem-solving strategies and apply a broad A Comprehensive Collection of Past Papers for Mastery Edexcel IGCSE Further Maths: Past Papers Year Paper Mark Scheme Specimen Paper 2025 Paper 1 Mark Scheme Paper 2 Mark Scheme June 2021 Paper 1 Mark Scheme Paper 2 Mark Scheme October 2019 Series 1 Paper 1 Mark Scheme Series 1 Paper 2 Mark Scheme October 2018 Jun 4, 2021 · Pearson Edexcel International GCSE In Further Pure Mathematics (4PM1) Paper 01 . Past papers are a useful and productive way to prepare for your exams. 5 in the range 0° < x < 360° are x = 30° and x = 150°. Further Maths – Integration. The main rule for differentiation is shown. to find any local minimum or maximum values for velocity. The final part of the function is a horizontal line from the coordinates (4, 3) to (6, 3). Changes to syllabus content • The term prism has been clarified in C5. Daniel has taught maths for over 10 years in a variety of settings, covering GCSE, IGCSE, A-level and IB. In the United Kingdom, Further Mathematics describes a course studied in addition Everything you need to study for or to teach the Edexcel International GCSE in Further Pure Mathematics, including key documents and the latest news. This document shows the grade boundaries for reformed Edexcel International GCSE (9-1) qualifications. Teachers and learners should discuss anticipated achievement, taking into account learners’ individual strengths in the subject. Nov 5, 2019 · The Corbettmaths Further Maths 5-a-day. Matt Woodfine (Maths White Board) has used the list to create these AQA resources; answers are available at the end of each of these pdf resources. Similar for. ) Find the gradient of the line joining points A and B. To expand, for example, The powers of will start with and decrease by 1 in each term, until it reaches (which is 1) The powers of will start with (which is 1) and increase by 1 in each term Jul 12, 2022 · 0% Complete 0/2 Steps. Further Maths View Answer. Say goodbye to boring revision, we've rounded up model examplar answers, worksheets, videos and all kinds of resources to help with mastering GCSE and acheiving A*. £60 / hour. The AQA Level 2 Certificate in Further Mathematics is an untiered Level 2 linear qualification for learners who: • either already have, or are expected to achieve, grades 7, 8 and 9 in GCSE mathematics There are two trig identities you need to know and use. This formula will be in the form: nth term = dn + b, where; d is the common difference. Calculate the distance between points and . Our new Specification (8365) will be available for first assessment from 2020. either already have, or are expected to achieve the top grades in GCSE Mathematics. It is designed to stretch and challenge high achieving mathematicians who are expected to achieve the top grades in GCSE Mathematics and are likely to progress to study A-level Mathematics and possibly Further Mathematics. Posted in AS LEVEL MATHS (9709), IGCSE - ADDITIONAL MATHS (0606), Uncategorized | Tagged 9231, 9709, as level, exercise, FURTHER MATHS, IGCSE MATHS, NOTES, REVISION | Leave a reply AS-LEVEL FURTHER MATHEMATICS (9231) – MATRICES The syllabus: develops learners' competency, confidence, and fluency in their use of techniques with and without the use of a calculator, cultivating mathematical understanding. Go To Mathematics B Past Papers. Tools to help you ace your exams, including: past papers, revision notes, and exam-style questions (organised by topic) Revision Notes. Rewrite the left-hand side by converting the rational power into a root. increasing (r > 1), or. Even if you don't want to stud I want to help you achieve the grades you (and I) know you are capable of; these grades are the stepping stone to your future. Putting in would give For example, if the function Unless the student is predicted a safe 9 for maths, it's silly to risk it at this late stage. Vectors have magnitude and direction. Paper 1: non- calculator. Revision notes on Functions Toolkit for the AQA GCSE Further Maths syllabus, written by the Further Maths experts at Save My Exams. Further Mathematics is the title given to a number of advanced secondary mathematics courses. Cambridge International A Level Further Mathematics develops and extends a set of transferable skills. You can also use this to find (local) minimum and maximum values. If a + 2 b = –6 i, find the value of p. June 2019. Putting -4 in would give 2 × (-4) + 1 = -7. It is designed for students who are aiming for top grades, and those planning on continuing to study Maths after GCSE. Both identities are given on the formulae sheet. is an example of an exponential. IMO IGCSE add math is probably 3 times harder than IGCSE math, In terms of A level I've heard stories of people going nuts over how much harder normal math in A level is and how much of a gap there is in the difficulty between IGCSE and A level. Decision 1. The point C is the midpoint of OA and the point D divides OB in the ratio 2 : 1 ĺ. Quadratic equations are easiest to deal with once in the form " ". Putting 3 in to the function would give 2 × 3 + 1 = 7. Isolate the term by adding 12 and dividing by 3. Here, you'll find an array of revision notes, topic questions, fully explained model answers, past exam papers and more, meticulously organized to Apr 25, 2018 · AQA Level 2 Certificate in Further Mathematics is linear. This syllabus is version 2, published February 2024. Give your answer to 3 significant figures. You must show your working. 5-a-day Workbooks Logarithms allow us to solve equations where the exponent is the unknown value. If you are not sure which exam board you are studying check with your teacher. Here, you'll find an array of revision notes, topic questions, fully explained model answers, past exam papers and more, meticulously IGCSE Maths. Further Pure 2. Figure 1. It gives them opportunities to select and apply mathematical techniques and methods to everyday situations. Hannah’s sweets even received coverage from news The common ratio, , is 3. , where leading to x. GCSE Further Mathematics. AQA is 2 exams compared to OCR's one exam. (c) Hence show that C, D and E are collinear. “Hannah’s Sweets” is possibly the most infamous GCSE Maths exam question of all time. Both are similar in content and both are good preparation for Maths A-level, however, AQA doesn't go as far into the A level content as OCR does. Method 1. NEW Hiring - A Level Maths students (predicted an A*) or Further Maths students (predicted an A or A* ) to type solutions for worksheets & other resources (also looking for students with very neat handwriting for written past paper model solutions) . Factorisation: x bx c x p x q pq c2 . (b) Find CE in terms of a and b. Practice Paper - Set 3. Syllabus overview. We take pride in the collaborative and creative spirit of our community, and we June 2022. Here, you'll find an array of revision notes, topic questions, fully explained model answers, past exam papers and more, meticulously organized to Your #1 tool for GCSE Level 2 Further Maths revision. Note that the notation is the same as. Function Notation Video Practice Questions Answers. Exactly the same as using calculus to find other minimum and maximum values. Concise resources for the IGCSE Edexcel Maths course. Edexcel and BTEC Qualifications IGCSE Maths. Welcome; 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths; More. Fill in the boxes at the top of this page with your name, Nov 27, 2019 · Cambridge International AS & A Level Further Mathematics 9231 Syllabus (2020-2022) Content overview Structure Assessment overview Three routes for Cambridge International AS & A Level Further Mathematics Candidates may combine components as shown below. What’s assessed. Morning (Time: 2 hours) Paper Reference 4PM1/02R Further Pure Mathematics Paper 2R P62284A *P62284A0132* ©2020 Pearson Education Ltd. International GCSE Thursday 18 June 2020 Calculators may be used. Paper 2: 105 mins, 80 marks, calculator, 50%. g. Primary Study Cards Multiply any matrices together first, then equate each element. Pearson Edexcel International GCSE in Further Pure Mathematics Sample Assessment Materials 1 Edexcel, June 2015: 1H Q19. 6. This is the identity for tan θ. The coordinates of the image point can be found using matrix multiplication. Substitute , and into the formula, putting brackets around any negative numbers. Edexcel International GCSE Further Pure Mathematics (2017) | Pearson qualifications A place for IAL & IGCSE Edexcel candidates to connect and communicate as well as have access to resources and help from others all across the world. Our easy-to-use past paper search gives you instant access to a large library of past exam papers and mark schemes. • 3 yr. Oxford Mathematician Dr Tom Crawford completes a high school GCSE Further Maths exam with zero preparation… The paper taken is the AQA Further Maths GCSE non acceleration is the gradient on a velocity-time) graph. Vectors & Transformation Geometry. 5. (or or 14. First and Second Derivatives – Further Maths. ax bx c mx p nx q pq c mn a2 where and leading to x 2. He loves breaking tricky topics down into a way they can be easily understood by students, and creating resources that help to do this. Questions and model answers on Indices for the AQA GCSE Further Maths syllabus, written by the Further Maths experts at Save My Exams. Substitute the equation of the straight line into the equation of the circle for. substituting the line into the circle would give. Let be 'point 2', so and. Method 2. Changes to this syllabus for 2025, 2026 and 2027. Higher expected May 18th 7:30 pm and Foundation May 20th 7:30 pm. GCSE Maths. For each set of grade boundaries, the maximum number of available marks is also shown. The topics included in Further Maths overlap with both GCSE and A Level topics; meaning it can be a useful qualification for bridging the gap Solve. A mix of question styles, from short, single-mark questions to multi-step problems. Published 12 Jan 2024 | PDF | 667 KB. 8QGHUVWDQGLQJ RXU (GH[FHO ,QWHUQDWLRQDO *&6( JUDGH ERXQGDULHV 4PM1 Further Pure Mathematics Subject 200 170 150 131 Mark graduated twice from the University of Oxford: once in 2009 with a First in Mathematics, then again in 2013 with a PhD (DPhil) in Mathematics. iGCSE Edexcel Further Maths is harder than AQA Further Rounding answers (where accuracy is specified in the question) Penalise only once per question for failing to round as instructed - ie giving more digits in the answers. Geometry & Trigonometry. The limits above and below tell you which terms you are summing. These notes look at finding the magnitude, or modulus, of a vector. Candidates who perform well should be able to progress to the advanced study of mathematics. Surds (addition/subtraction) Video Practice Questions Answers. a 2 × 1 matrix is. These sample assessment materials have been developed to support this qualification and will be used as the benchmark to develop the assessment students will take. 4 in the notes and guidance. Testing yourself with IGCSE maths past papers is an excellent way to identify the topics that need more revision, so you can ensure that you're revising as effectively as possible to help you get ready for your IGCSE Maths exam. written exam: 1 hour 45 minutes. Insert (Modified A3 36pt): formulae sheet: Paper 1; Paper 2 - June 2024. Practice Paper - Set 1. pa es ek be rl to ui rl dn sj