Math equation sheet edexcel. ©2021 IGCSE. 33% of the qualification We would like to show you a description here but the site won’t allow us. Students sitting AS or A Level Further Mathematics (2017) papers may be required to use the formulae that were introduced in AS or A Level Mathematics papers. These two sets of worksheets contain examples and exercises covering a range of Pure Mathematics contents for AS and A level Mathematics qualifications. 2. Avohkii Pearson Edexcel GCSE Maths past exam papers and marking schemes for GCSE (9-1) in Mathematics (1MA1), these past papers from the Pearson Edexcel exam board are free to download for you to use as practice for your exams. While solving question the formula sheet makes it easier for students to study, they have all the formulas at one place and do not need to look for the formulas A formula sheet will be provided for foundation tier and for higher tier students. Step 5: Write the full answer to the question. Momentum and impulse Cheat Sheet Edexcel FM1 Example 1: A ball of mass 0. 1. Revision notes on 3. A version of this equation list will be included with the May–June 2024 question papers. 2. −4𝑎𝑎𝑐𝑐> 0 o The auxiliary equation has two real roots, 𝛼𝛼 and 𝛽𝛽. KWWSV ELW O\ SPW FF KWWSV ELW O\ SPW FF KWWSV ELW O\ SPW HGX his work by PM Education is licensed under CC -NC-ND . View the Formula Book from the A-Level Maths Edexcel (9MA0) syllabus. JUNE 2017 PAPER 3H WRITTEN MS V1 - EDEXCEL GCSE MATHS PDF. Jun 7, 2018 · Edexcel Paper 3 Material *These papers and revision checklists are based on the topics that either haven’t appeared or usually have a higher profile. Pearson GCSE (9-1) Maths Exam Support page provides the information you need for the summer 2024 exam series. The document provides formulas and concepts for mathematics including: 1) Formulas for quadratic equations such as the general form, quadratic formula, and forming a quadratic equation from its roots. However, at GCSE, a formula usually includes an equals sign (equality), and two or more variables. 3. For use in Pearson Edexcel International Advanced Subsidiary and Advanced Level examinations. 17 terms. Summations ( 1)(2 1) 6 1 1 ∑2 = + + = r n n n n r 2 2 4 1 1 ∑3 = (+1) = r n n n r Numerical solution of equations Edexcel GCE in Mathematics Mathematical Formulae and Statistical Tables For use in Edexcel Advanced Subsidiary GCE and Advanced GCE examinations Core Mathematics C1 - C4 Further Pure Mathematics FP1 - FP3 Mechanics M1 - M5 Statistics S1 - S4 Modified large print version produced by The Quadratic Equation Trigonometric ratios (new to F)-b±√(b2-4ac) 2a Pearson is committed to reducing its impact on the environment by using responsibly sourced and recycled paper. 3 Standard Deviation & Variance for the Edexcel A Level Maths: Statistics syllabus, written by the Maths experts at Save My Exams. Students must complete all assessment in May/June in any single year. MATHEMATICS HIGHER TIER . Each exam board's formula sheet is very similar. These are: • Volume of a prism • Area of a trapezium • The Quadratic equation (Higher tier only) • The sine rule, cosine rule, and area of a triangle (Higher tier only). Parametric Equations Cheat Sheet Edexcel Pure Year 2 So far, we have only looked at functions given in two variables, and . To learn them effectively try these ideas: 1. Centres wishing to teach mathematics using a different approach to meet the ir students’ needs can use our Pearson Edexcel International GCSE in Mathematics (Specification B) or extend students’ study with Pearson Edexcel International GCSE in Further Pure Mathematics. Please note, a copy of this exam aid will be made available to all students on the A list of all the formulae needed for your GCSE maths exam. Teacher 49 terms. While solving question the formula sheet makes it easier for students to practice, they have all the formulas at one place and do not need to look for the formulas Past paper questions by topic and topic tests with mark schemes for Edexcel Maths GCSE (9-1) Algebra. Please note, a copy of this exam aid will be made available to all students on the Jan 29, 2023 · Will a Higher Maths Formula Sheet be provided for GCSE Maths in Summer 2023? Yes, a Maths formula sheet for Higher and Foundation will be provided for GCSE Maths in 2023. Edexcel GCSE Mathematics (Linear) – 1MA0 ALGEBRA: FORMING AND SOLVING EQUATIONS Materials required for examination Items included with question papers Ruler graduated in centimetres and Nil millimetres, protractor, compasses, pen, HB pencil, eraser. Revision Videos for all IGCSE/GCSE Subjects here! A formula sheet will be provided for foundation tier and for higher tier students. Or you could print Mathematics Emporium - support whenever you need it The renowned Mathematics Emporium helps you keep up to date with all areas of maths throughout the year, as well as offering a rich source of past questions and, of course, access to our in-house maths experts Graham Cumming and his team. A formula sheet will be provided for foundation tier and for higher tier students. Equations, inequalities and equalities can all be formulae. Introduction. Mathematical Formulae and Statistical Tables. Edexcel A-Level Maths: Equations & formulae not given. Amy (and the Emporium team) The equation above is called the . Sign up to get Emporium emails Aug 7, 2018 · The IGCSE mathematics formula sheet contains all the important formulas and equations from the IGCSE mathematics syllabus and which are used commonly in O level mathematics exam. Apr 18, 2024 · What is a formula in maths? A formula in maths is a rule, fact or key principle expressed in mathematical symbols, rather than words. Problem solving in mathematics involves using several stages, across a variety of topics, to answer a question; In this set of notes all the problems will involve equations. Insert . JUNE 2017 PAPER 1F Revision Notes Past Papers AQA Level 3 Mathematical Studies (Core Maths): Paper 1: Data, Finance, Estimation & Modelling-Course Overview The nature of the solutions to the auxiliary equation will determine the general solution. A friendly, patient, highly experienced and expert Maths teacher and Head of Sixth Form. Book Free Trial Class: +92-316-1084843 Join Live Masterclass: IGCSE & A-level Maths Revision notes on 3. Casio ClassWizz Guide Grade 7+ Guide Revision Guide igcse-maths-formula-bookletDownload Past papers available here. 0 (3) University College, London - BSc Mathematics. Please note, a copy of this exam aid will be made available to all students on the Aug 25, 2015 · Quadratic equations The Quadratic Equation The solutions of ax2 + bX+ c = 0, Sine Rule sin A Cosine Rule a2 sin B sin C — b2 + c2 - 2bc cosA Area of triangle — -ab sin C 0, given MIX From responsible sources ESC FSCE C006509 recycle finished with this please it 2a Foundation tier formulae ridam) Årtwqrk*k , Ocean jrnagèO 123RF: Edexcel AS and A level Mathematics and Further Mathematics (2017) information for students and teachers, including the specification, past papers, news and support. There are three cases you need to consider: Case 1: 𝑏𝑏. DfE has confirmed that, in 2023, students are not required to memorise formulae for GCSE mathematics and equations for GCSE physics and combined science. 3) Concepts for coordinate geometry including The Unofficial Subreddit for Pearson Edexcel Exam Board - A levels and IGCSEs and All Other Qualifications r/Edexcel is where you can find fellow students, discuss topics, and get help with!! An equation is simply an expression with an equals sign that can then be solved You will first need to form an expression and make it equal to a value or another expression It is useful to know alternative words for basic operations: Revision notes on 2. Topic Checklist PDF. Foundation tier formula sheet. The formula sheets given to you in the GCSE Maths exams are below. This means there are no terms of or a higher order Revision notes on 2. the GCSE maths exams to be sat in 2024. Invariant Ch. Gradient, tangents and normal In this section, you will learn to find equation of tangent and normal to a curve at a given point. 6 Pearson Edexcel GCE Physics — Advanced Level — List of data, formulae and relationships — Issue 3 Nuclear and particle physics In a magnetic field r = p BQ Thermodynamics Heating ΔE = mcΔθ ΔE = LΔm Molecular kinetic theory 1 2 mác2ñ = 3 2 kT pV = 1 3 Nmác2ñ Ideal gas equation pV = NkT Stefan–Boltzmann law L = σAT 4 L Formulae sheets Students will need to memorise many of the formulae currently given in the formulae sheets at the front of the exam papers. Review relevant sections of your revision guide**. Right-hand electrode system Ed/V Formula Sheet PDF Topic Checklist PDF Aiming For 1 Aiming For 1-2 Aiming For 2 Aiming For 3 Aiming For 4 Aiming For 5 Aiming For 7 Aiming For 9 Set 01 Set 02 Set 03 Set 04 Set 05 Set 06 Set 07 Set 08 Set 09 Set 10 Set 11 Set 12 Set 13 Set 14 Set 15 Set 16 Set 17 Set 18 Set 19 Set 20 Set 21 Set 22 Set 23 Set 24 Topic Tests Topic Tests - By IB/M/Insert to GCSE Mathematics Higher Tier/E5 FOR EXAMS IN 2024 ONLY 8300 . Track your progress and test your topic knowledge with quick quizzes and worked-solution videos*. Share your progress with your teachers. The ball rebounds with speed 2. Formula Sheet . Formulae Sheet PURE MATHEMATICS Mensuration Volume of sphere = 4 3 3 πr Surface area of sphere = 4πr2 Volume of cone or pyramid = 1 3 ××base area height Area of curved surface of cone = πr×slant height Arc length of circle =rθ (θin radians) Area of sector of circle 12 2 = r θ (θin radians) Algebra For the quadratic equation ax bx c2 ++=0: 2 4 2 bb First teaching: 2017 First assessment: 2018 Here you'll find everything you need to prepare for teaching A level Mathematics, including our flexible specification which gives you separate papers for pure and applied maths, plus a wide range of free exam practice to prepare students, and the opportunity to either specialise or broaden your area of study. Summations rn nn r n 2 1 1 6 12 1 = ∑ =+ () + rn n r n 3 1 1 4 22 1 = ∑ =+ Numerical solution of equations The Newton-Raphson iteration for A formula sheet will be provided for foundation tier and for higher tier students. 5 Matrix Algebra Cheat Sheet - Edexcel Further Maths A-level - FP2 Author: PMT Education Matrices can compactly express sets of simultaneous linear equations for a large number of variables. wall with speed We begin by drawing a diagram: Edexcel IGCSE Maths Topic Questions Past paper and exam-style questions organised by topic, with student-friendly answers written by teachers and examiners. A version of this equation list will be included with the May–June 2022 question papers. To support this, we have released updated formulae and equation sheets for summer 2023. A sample of what formula are provided can be found here for the Maths GCSE Formula Sheet Edexcel. Students sitting AS or A Level Further Mathematics papers may be required to use the formulae that were introduced in AS or A Level Mathematics papers. Sep 1, 2015 · For GCSE Maths, the exam support will be a separate formula sheet which gives students the formulae they may need to refer to in their assessment, appropriate to their tier of entry. International GCSE Mathematics Formulae sheet — Higher Tier Area Of trapezium — sin C 2bccos A The quadratic equation The solutions of ax2 + bx + c — — O where a O are given by: Trigonometry Volume Of cone — zr2h Curved surface area of cone a-rl Volume of cylinder — Curved surface area Of cylinder — 2zrh In any triangle ABC Sine Rule Data Booklet Pearson Edexcel Level 3 Advanced Level GCE in Chemistry (9CH0) ssue 2 Summer 201 5 Standard electrode potentials Ed Standard electrode potential of aqueous system at 298 K, that is, standard emf of electrochemical cell in the hydrogen half-cell forms the left-hand side electrode system. a = 3, b = -2, c = -4 Dec 18, 2020 · The O level mathematics formula sheet contains all the important formulas and equations from the O level mathematics syllabus and which are used commonly in O level mathematics exam. The GCSE maths formula sheet Z-card includes the formulae you will need to learn for your GCSE maths exam. This will be available as an additional insert on the day of the examination. If you are entered for Foundation tier then you must know all the formulae marked 'F'. Study with Quizlet and memorise flashcards containing terms like Total Costs (TC), Total Variable Cost (TVC), Profit and others. Paper 1: Pure Mathematics 1 (*Paper code: 9MA0/01) Paper 2: Pure Mathematics 2 (*Paper code: 9MA0/02) Each paper is: 2-hour written examination 33. Further Pure 1 . 1 Equation of a Circle for the Edexcel A Level Maths: Pure syllabus, written by the Maths experts at Save My Exams. First examination from January 2019 Issue 2. 2) Properties of quadratic functions including their shapes based on the value of a and completing the square to find minimum/maximum values. Download free B&W free PDF Version %PDF-1. Tracing paper may be used. Click to download (downloads directly from exam board site): AQA Foundation Tier formula sheet Edexcel Foundation Tier For each of the topics below, there are worksheets, cheat sheets, questions by topic, past and practice papers with model solutions. Separated for Foundation and Higher tiers. We've now amended the equation sheet for GCSE (9-1) Combined Science B J260 03/07 and the data and equation sheet for GCSE (9-1) Combined Science B J260 04/08. Instructions Use black ink or ball-point pen. Read the outcome of the consultation. View PDF List The exam aids (formula sheets) for Summer 2024 are now available, both on the Pearson qualifications website and here on the Emporium. . The Edexcel International GCSE ( Specification A; code 4MA1 ) cannot be offered in state schools as it is not regulated in the same way, but many independent schools choose to offer it instead of the GCSE, as there is some perception that it’s slightly Apr 30, 2024 · The exam boards (AQA, Edexcel and OCR) will again be providing formulae sheets for the GCSE maths exams to be sat in 2024. formula+data sheet for edexcel ial math - Free download as PDF File (. The SUVAT equation which contains u, v, a and s and omits t is: v 2 = u 2 + 2as. U219 1 2 opp hyp adj hyp opp adj i r c u m f e r e n c e Radius Centre Diameter b a adj c opp hyp xo w l b b h a h h Compound measures speed = density = pressure A formula sheet will be provided for foundation tier and for higher tier students. Check your answers in real-time. 1 Deriving the suvat Equations for the Edexcel A Level Maths: Mechanics syllabus, written by the Maths experts at Save My Exams. This article provides a brief guide to what is on the sheets and how to use them. Information sheet will be provided for foundation tier and for higher tier students. AQA GCSE Maths formula sheet Core Pure Formula Sheet - Edexcel Further Maths A-level Author: PMT Education Created Date: 9/7/2022 4:07:05 PM 6 Pearson Edexcel IAS/IAL in Mathematics Formulae List – Issue 1 – June 2013 Further Pure Mathematics F1 Candidates sitting F1 may also require those formulae listed under Core Mathematics C12. The Pearson Edexcel Level 3 Advanced GCE in Mathematics consists of three externally-examined papers. Jan 18, 2024 · GCE Mathematics (2017) The formulae in the booklets linked below have been arranged by qualification. Provided in formula book Not provided in formula book . 8 Edexcel AS/A level Mathematics Formulae List: Further Pure Mathematics FP1 – Issue 1 – September 2009 Further Pure Mathematics FP1 Candidates sitting FP1 may also require those formulae listed under Core Mathematics C1 and C2. Edexcel GCSE Mathematics (Linear) – 1MA0 ALGEBRA: SOLVING EQUATIONS Materials required for examination Items included with question papers Ruler graduated in centimetres and Nil millimetres, protractor, compasses, pen, HB pencil, eraser. 0 Paper 1 Question Breakdown and Timing Guide. This resource provides all of the formulas that will be needed at GCSE mathematics; The Foundation formula sheet provides the formulas that will be useful for Foundation tier; The Higher formula sheet provides the formulas that will be useful for Higher tier; Suitable for use with OCR, AQA and Edexcel GCSE maths Marc C. This is known as the cartesian equation of a Formula Sheet PDF. 1 Roots of Polynomials for the Edexcel A Level Further Maths: Core Pure syllabus, written by the Further Maths experts at Save My Exams. This exam aid provides students with additional exam formulae which they may • refer to in their examinations. Rearrange to make s the subject: Step 4: Substitute the values into the equation and calculate s = 400 m. This contains all formulas needed for Maths GCSE Edexcel. EDEXCEL GCSE MATHS PDF Video solution. One stop - past exam papers, model answers, model video solutions, video tutorials, mark schemes, worksheets and much more FM1 Formula Sheet - Edexcel Further Maths AS-level Author: PMT Education Created Date: 9/8/2022 9:31:28 AM Hence, the gradient of the curve with equation 7 = 2$% − $ − 1 at the point (2,5) is 7. • The format/structure of the assessments remains unchanged. pdf), Text File (. For GCSE Combined Science (Physics) and GCSE Physics, students will have access to an equation list in the exam room, showing all relevant equations. Available for Pearson Edexcel GCSE maths, history, science (higher tier only) and business. Click here to see our Equations To Memorise Z-Card. Find the magnitude of the impulse exerted on the wall by the ball. Instructions • Please ensure that you have read this aid before the examination. In both sheets we've made the following changes: FM1 Formula Sheet - Edexcel Further Maths A-level Author: PMT Education Created Date: 9/8/2022 9:29:36 AM Edexcel GCSE English 2. You can find topic tests corresponding to summer 2022 advance information content here. net TM. GCSE . The 2023 formula sheet can be accessed now for the summer 2023 exam series. Summations ( 1)(2 1) 6 1 1 ∑2 = + + = r n n n n r 2 2 4 1 1 ∑3 = (+1) = r n n n r Numerical solution of equations Quadratic equations The solutions of ax2 + bx + c = 0, where a ≠ 0, are given by x = Circles Circumference = π × diameter, C = πd Circumference = 2 × π × radius, C = 2πr Area of a circle = π x radius squared, A = πr2 Areas Rectangle = l × w Parallelogram = b × h Triangle = b × h Trapezium = (a + b)h 1 2 Pythagoras’ Theorem The AS and A Level Maths Formulae Sheet Shapes Area of Triangle 1! " x base x height Area of Parallelogram base x height Straight Line: Equation 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. elliemchugh79 Everything you need for Year 11 GCSE maths revision: Free and complete. Please note, a copy of this exam aid will be made available to all students on the WJEC Formula Sheet Maths GCSE – Foundation Tier November 2022 and Summer 2023, Higher Tier November 2022 and Summer 2023; CCEA GCSE Maths Formula Sheet – Foundation Tier Additional Materials Summer 2023, Higher Tier Additional Materials Summer 2023; Using these materials, you can either write them down in your notebook. Mathematics Higher tier Exam Aid Syllabus Pearson Edexcel International Advanced Subsidiary/Advanced Level in Mathematics, Further Mathematics and Pure Mathematics. You can use the quadratic formula (or another means) to find the roots of the auxiliary equation. There were no other changes and the equations on this sheet remained unchanged. All the resources listed here are available from the GCSE Maths Qualifications web page, the Maths Emporium or our Teaching & Learning Secondary Maths web page. USD $ USA dollar USD $; Indian Rupee INR ₹ Step 3: Choose the correct SUVAT equation and rearrange it. Download IGCSE Mathematics formula list for free and equip yourself with relevant tools and techniques to solve IGCSE Mathematics questions. All Rights Reserved. Oct 29, 2021 · Below you will find links to the current formula sheets as provided by the main exam boards. or. 2 ሺhits a fixed vertical wall at right angles with speed 3. The equation of tangent to the curve 7 = "($) at the point with coordinates (8,"(8)) is given by Following a public consultation, the Department for Education (DfE) and Ofqual have confirmed full equations and formulae sheets will be provided for GCSE Mathematics, GCSE Physics, and GCSE Combined Science exams in 2024 only. 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. Please note, a copy of this exam aid will be made available to all students on the Equations and Graphs Equation of a straight line Gradient Volume of a Midpoint of a line (between 2 points) Equation of a circle Quadratic formula How to learn the formulae cone You need to know all of these formulae for your maths exams. Are you sure you want to exit this session? Yes No No 8 Edexcel AS/A level Mathematics Formulae List: Further Pure Mathematics FP1 – Issue 1 – September 2009 Further Pure Mathematics FP1 Candidates sitting FP1 may also require those formulae listed under Core Mathematics C1 and C2. These can be subject to change so we advise you to keep up to date on the official exam board site. 4 %âãÏÓ 517 0 obj > endobj xref 517 86 0000000016 00000 n 0000002557 00000 n 0000002714 00000 n 0000018229 00000 n 0000018420 00000 n 0000018904 00000 n 0000019587 00000 n 0000020076 00000 n 0000020139 00000 n 0000021712 00000 n 0000022021 00000 n 0000023323 00000 n 0000023644 00000 n 0000023806 00000 n 0000025525 00000 n 0000027254 00000 n 0000028810 00000 n 0000030373 00000 n Jun 20, 2024 · The main exam boards for GCSE Maths are AQA (specification code 8300), Edexcel and OCR . txt) or view presentation slides online. Pearson Edexcel GCSE (9–1) Mathematics May–June 2024 Assessment Window You are not permitted to take this notice into the examination. Write down the values of a, b and c . The plane stops after 400 m, which is 50 m before . AS and A level Mathematics New Content Resources – Pure Mathematics Modelling Questions A collection of questions taken from previous A level Mathematics Pure Mathematics Feb 15, 2022 · GCSE Formula Sheet (as given in the exam) Revision Top Tips for Maths “Key Topics” Revision Questions (a small selection of exam questions based on the topics that appear across more than one paper, FDP conversions for example) Free online Edexcel IGCSE video tutorials, notes, exam style questions, worksheets, answers for all topics in Foundation and Higher IGCSE. Whether you are doing AQA, Edexcel or OCR, the following list of maths equations are relevant to you. The formulae in this booklet have been arranged by qualification. More information about all of our qualifications can be found on our Edexcel There is a formula for adding up the first n terms of an arithmetic series The formula is included on the formulae sheet You do not need to where the formula comes from but, just for fun, here’s a hint GCSE (9-1) Mathematics Resources To support schools, we have gathered together all our resources for GCSE (9–1) Mathematics in one place. This document is valid if downloaded from the Pearson Qualifications website. GCSE Maths Formula Sheet. Students are prohibited from bringing their own copy of the equation sheet into the examination room. Formulae sheets will also be provided for our Level 3 FSMQ Additional Mathematics qualification. Example: Solve the following system of linear equations: 𝑥𝑥− 𝑦𝑦 + 𝑧𝑧 = 0 2𝑥𝑥+ 𝑦𝑦 − 3𝑧𝑧 = 1 2𝑥𝑥+ 2𝑦𝑦+ 𝑧𝑧 = 7 By expressing a system of linear equations in matrix Use the quadratic formula to find the solutions of the equation 3x 2 - 2x - 4 = 0, giving your answers correct to 3 significant figures. What are linear equations? A linear equation is an equation that will produce a straight line when plotted on a graph; The greatest power of in a linear equation is 1 . 5 −1. May 21, 2022 · International GCSE Mathematics Formulae sheet – Higher Tier Arithmetic series Sum to n terms, S n = n 2 [2a + (n – 1)d] Area of trapezium = 1 2 (a + b)h b a h The quadratic equation The solutions of ax2 + bx + c = 0 where a ¹ 0 are given by: x bb ac a = −± 2 − 4 2 Trigonometry A B C b a c In any triangle ABC Sine Rule a A b B c sins Revision notes on Equations & Problem Solving for the Edexcel GCSE Maths syllabus, written by the Maths experts at Save My Exams. eigenvalue equation. Further Pure Mathematics FP1 – FP3 . Look, Cover, Write, Check, Correct a. Higher tier students must learn the whole list! May 21, 2022 · International GCSE Mathematics Formulae sheet – Higher Tier Arithmetic series Sum to n terms, S n = n 2 [2a + (n – 1)d] Area of trapezium = 1 2 (a + b)h b a h The quadratic equation The solutions of ax2 + bx + c = 0 where a ¹ 0 are given by: x bb ac a = −± 2 − 4 2 Trigonometry A B C b a c In any triangle ABC Sine Rule a A b B c sins The Poisson probability formula: e! x λ λ PX x x == − Poisson mean = λ Poisson variance = λ The exponential cumulative probability formula: P(X x) = 1 − e−λx Exponential mean = 1 λ Exponential variance = 2 1 λ Ea()Xb± Ya = EX() ± bE Y() VarV()aX bY± = aX22 ar() + bYVar(), for independent variables X and Y Edexcel Further Maths A-level . As there are 3 papers, it is likely that topics from papers 1&2 may appear again, so definitely make sure you revise/recap everything. The document provides equations for various physics concepts covered in four units: 1) Mechanics and Materials, including kinematic equations, forces, momentum, and material properties. On the Emporium you can find them here underneath the cabinets. These could be linear equations, quadratic equations or simultaneous equations and other, relatively straightforward equations Revision notes for the Edexcel GCSE Maths syllabus, written by the Maths experts at Save My Exams. Click a formula for an interactive example to show how it is used. ★ 5. czchs grayu icqnsf fmx vwngdcp zboos jzyqj iawi ozoaynp bshxns