# Solution bank pure maths year 1

By | 07.10.2020

It is advisable to check the official Edexcel AS Pure maths specification in case of changes: specification. Algebra Basics Expanding Brackets Terms in expressions and equations Identity or equation - what is the difference? Linear equations f x notation Polynomials. Polynomials Polynomials. Functions f x notation. Completing the Square Completing the square Applications of completing the square Exam Questions - Completing the square.

Quadratic Equations Solve by factorising Solve by completing the square Solve by the quadratic formula Exam Questions - Solved by the quadratic formula Solving quadratic equations in some function of x. Quadratic Graphs Sketching quadratic graphs.

Simultaneous Equations Elimination method for linear equations Substitution method for linear and non-linear equations Exam Questions - Simultaneous equations. Inequalities Linear inequalities Rules for reversing the inequality sign Solving a linear type Solving a double inequality Exam Questions - Solving a double inequality Shading regions for a linear inequality Quadratic inequalities Exam Questions - Quadratic inequalities Exam Questions - Simultaneous inequalities.

Algebraic Long Division Algebraic long division. Intersection of Graphs Intersection of two straight lines Intersection of a straight line and a parabola Intersection of a straight line and a hyperbola Nature of the intersection. Circles Equation of a circle Finding the centre and radius Circle properties Equation of a tangent to a circle Equation of a circle through 3 points Exam Questions - Circles. Graph Transformations Basic graphs used in transformations Translations of graphs Reflections of graphs Stretches of graphs Exam Questions - Graph transformations.

Asymptotes Asymptotes - horizontal and vertical types. Binomial Expansion Binomial expansion Exam Questions - Binomial expansion for positive integer powers Exam Questions - Binomial expansion, comparing coefficients Exam Questions - Binomial expansion, estimating a value Exam Questions - Binomial expansion, other.

Trigonometric Graphs and Transformations Trigonometric graphs Translations of trig graphs Reflections of trig graphs Stretches of trig graphs Combining transformations Exam Questions - Trigonometric graphs and transformations. Trigonometric Equations Quadrant rule to solve trig equations Trig equations with different ranges Trig equations with multiple angles Trig equations that factorise. Exponential Functions and Logarithms Exponential functions: what they are and their graphs What do we mean by a log?

Stationary Points Stationary points Nature of a stationary point Exam Questions - Stationary points Applications of stationary points Exam Questions - Applications of stationary points. Increasing and Decreasing functions Increasing and decreasing functions Exam Questions - Increasing and decreasing functions. Equations of Curves Finding the equation of a curve given the gradient function Exam Questions - Equations of curves.

For further revision and practice I have past papers, some with worked solutions — Check them out. Logarithmic and Exponential Functions Exponential Functions and Logarithms Exponential functions: what they are and their graphs What do we mean by a log? Vectors Vectors What is a vector and a scalar quantity? Vector notation 2d Position vectors 2d Equal and negative vectors Multiplying a vector by a scalar 2d Addition and subtraction of vectors 2d Magnitude of a 2 dimensional vector Unit vectors.

Past Papers For further revision and practice I have past papers, some with worked solutions — Check them out. Up to Contents. Index algebra and functions asymptote binomial expansion circles completing the square coordinate geometry cosine rule cubic graph decreasing functions differentiation: discriminant exponential functions e x factorising factor theorem gradient — straight line graphs: cubic intersection reciprocal increasing functions indices inequalities integration definite intersection — graphs.When preparing for A Level Maths exams, it is extremely useful to tackle exam questions on a topic-by-topic basis.

## Complete Pure Mathematics 1 for Cambridge International AS & A Level

This means that the revision process can start earlier, leaving you better prepared to tackle whole exam papers closer to the exam. This website uses cookies to improve your experience while you navigate through the website. Out of these cookies, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website.

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Binomial Expansion. Polynomial Division and Factor Theorem. Differentiation From First Principles. Stationary Points. Tangents and Normals to Curves.We recommend the following method of study in order to learn effectively and achieve excellent results in the subject. Good luck and we hope you will enjoy your learning experience with us.

### Cambridge AS Levels Pure Maths 1 (P1) fully worked solutions

May success be yours. Skip to content Skip to main menu Login Account. The Alevel exams is indeed a challenging one and its curriculum is both deep and extensive. Skills are need to solve the problem sets and one needs to develop and apply the mathematical skills to the high standard expected.

We have all the complete course for all the mathematical subjects; pure maths, mechanics, statistics and also Further Maths on our site. Our library of own written exam solutions is both extensive and up to date. Instance 1. Do use pen and paper to make notes and annotations on your printed copy where we have allowed printing.

Please have a calculator with you always to perform the calculations. Where there are questions to try and practise please do so. These texts are excellent sources of reference. If you do not understand some particular question or its working, please feel free to contact us.

We suggest emailing us or later put up your questions in our forum. We will make every effort to reply to all questions promptly and within a reasonable time.

We will also upload additional questions for practise from time to time. The teaching material always follow closely the A levels cie syllabus www. Please check in regularly to this site for updates. We suggest you use a copy of this text for your reference. Also we have a large bank of fully written solutions from current to for the said Alevels CIE P3 maths exams.

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Functions : Domain and Range : tutorial 1 - ExamSolutions

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It can also be used alongside the Year 2 book to cover all the content needed for the Edexcel A level Pure Mathematics exams. Fully updated to match the specifications, with more of a focus on problem-solving and modelling as well as supporting the new calculators. FREE additional online content to support your independent learning, including full worked solutions for every question in the book SolutionBankGeoGebra interactives and Casio calculator tutorials.

Includes access to an online digital edition valid for 3 years once activated. Includes worked examples with guidance, lots of exam-style questions, a practice paper, and plenty of mixed and review exercises. Other books in this series. Add to basket. Rating details. Book ratings by Goodreads.

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Hits: 9 We share because we care You have come to the right place if you were looking for substantial and authentic academic help, absolutely free of cost. Get Started. Hits: 19 Learn online; from your place at your pace We understand that learning is laborious.