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REVISION MATHS
Revision Maths is part of the Revision World group, giving maths students free GCSE and A Level maths revision resources and maths exam advice. My timetable. Create a Revision Timetable. Create your own individual study planner and revision timetable to help you plan your revision. Find A-Level Past Papers. GCSE MATHS PAST PAPERS GCSE Maths Past Papers. This section includes recent GCSE Maths past papers from AQA, Edexcel, Eduqas, OCR, WJEC, CCEA and the CIE IGCSE. This section also includes SQA National 5 maths past papers. If you are not sure which exam board you are studying ask your teacher. Past papers are a fantastic way to prepare for an exam as you can practise EDEXCEL GCSE MATHS PAST PAPERS Edexcel GCSE Maths past exam papers and marking schemes for GCSE (9-1) in Mathematics (1MA1) and prior to 2017 Mathematics A and Mathematics B Syllabuses, the past papers are free to download for you to use as practice for your exams. A-LEVEL MATHS PAST PAPERS A-Level Maths Past Papers. This section includes recent A-Level Maths past papers (AS and A2) from AQA, Edexcel, OCR, WJEC, CCEA and CIE. This section also includes SQA Higher and Advanced Higher past papers. If you are not sure which exam board you are studying check with your teacher. Past papers are a useful and productive way to prepare for AQA GCSE MATHS PAST PAPERS AQA GCSE Mathematics (8300) and Statistics (8382) past exam papers and marking schemes, the AQA past papers are free to download for you to use as practice for your exams. OCR GCSE MATHS PAST PAPERS OCR GCSE Maths (9-1) (J560) past exam papers. Prior to 2017 OCR ran two syllabuses Mathematics A and Mathematics B. If you are not sure which syllabus you are studying or which exam tier (foundation or higher) you are sitting check with your teacher. EDUQAS GCSE MATHS PAST PAPERS Eduqas GCSE Maths 9-1 past exam papers and marking schemes for Mathematics Syllabus C300U, the past papers are free to download for you to use as practice for your exams. BEARINGS - MATHEMATICS GCSE REVISION The bearing of A from B is 045º. The bearing of C from A is 135º. If AB= 8km and AC= 6km, what is the bearing of B from C? tanC = 8/6, so C = 53.13º. y = 180º - 135º = 45º (interior angles) x = 360º - 53.13º - 45º (angles round a point) = 262º (to the nearest whole number) This video shows you how to work out Bearings questions. OXFORD CAMBRIDGE AND RSA EXAMINATIONS GCSE J567/04 8 3 Jayden makes a 5-sided spinner, numbered from 1 to 5. He records the number of times he scores a 3 from different numbers of spins. His results are shown in GCSE MATHEMATICS MARK SCHEME UNIT 03 MARK SCHEME – GENERAL CERTIFICATE OF SECONDARY EDUCATION – 43603H – JUNE 2016 7 of 26 Q Answer Mark Comments 3 AED = 100 or E = 100 or ADE = 40 or D = 40 or DAE = 40 or A = 40 B1 May be on diagram in thecorrect place
REVISION MATHS
Revision Maths is part of the Revision World group, giving maths students free GCSE and A Level maths revision resources and maths exam advice. My timetable. Create a Revision Timetable. Create your own individual study planner and revision timetable to help you plan your revision. Find A-Level Past Papers. GCSE MATHS PAST PAPERS GCSE Maths Past Papers. This section includes recent GCSE Maths past papers from AQA, Edexcel, Eduqas, OCR, WJEC, CCEA and the CIE IGCSE. This section also includes SQA National 5 maths past papers. If you are not sure which exam board you are studying ask your teacher. Past papers are a fantastic way to prepare for an exam as you can practise EDEXCEL GCSE MATHS PAST PAPERS Edexcel GCSE Maths past exam papers and marking schemes for GCSE (9-1) in Mathematics (1MA1) and prior to 2017 Mathematics A and Mathematics B Syllabuses, the past papers are free to download for you to use as practice for your exams. A-LEVEL MATHS PAST PAPERS A-Level Maths Past Papers. This section includes recent A-Level Maths past papers (AS and A2) from AQA, Edexcel, OCR, WJEC, CCEA and CIE. This section also includes SQA Higher and Advanced Higher past papers. If you are not sure which exam board you are studying check with your teacher. Past papers are a useful and productive way to prepare for AQA GCSE MATHS PAST PAPERS AQA GCSE Mathematics (8300) and Statistics (8382) past exam papers and marking schemes, the AQA past papers are free to download for you to use as practice for your exams. OCR GCSE MATHS PAST PAPERS OCR GCSE Maths (9-1) (J560) past exam papers. Prior to 2017 OCR ran two syllabuses Mathematics A and Mathematics B. If you are not sure which syllabus you are studying or which exam tier (foundation or higher) you are sitting check with your teacher. EDUQAS GCSE MATHS PAST PAPERS Eduqas GCSE Maths 9-1 past exam papers and marking schemes for Mathematics Syllabus C300U, the past papers are free to download for you to use as practice for your exams. BEARINGS - MATHEMATICS GCSE REVISION The bearing of A from B is 045º. The bearing of C from A is 135º. If AB= 8km and AC= 6km, what is the bearing of B from C? tanC = 8/6, so C = 53.13º. y = 180º - 135º = 45º (interior angles) x = 360º - 53.13º - 45º (angles round a point) = 262º (to the nearest whole number) This video shows you how to work out Bearings questions. OXFORD CAMBRIDGE AND RSA EXAMINATIONS GCSE J567/04 8 3 Jayden makes a 5-sided spinner, numbered from 1 to 5. He records the number of times he scores a 3 from different numbers of spins. His results are shown in GCSE MATHEMATICS MARK SCHEME UNIT 03 MARK SCHEME – GENERAL CERTIFICATE OF SECONDARY EDUCATION – 43603H – JUNE 2016 7 of 26 Q Answer Mark Comments 3 AED = 100 or E = 100 or ADE = 40 or D = 40 or DAE = 40 or A = 40 B1 May be on diagram in thecorrect place
A-LEVEL MATHS PAST PAPERS A-Level Maths exams past papers and marking schemes (AS and A2). Papers from AQA, Edexcel, OCR, WJEC, CCEA and CIE. This section alsoincludes SQA Higher
EDUQAS GCSE MATHS PAST PAPERS Eduqas GCSE Maths 9-1 past exam papers and marking schemes for Mathematics Syllabus C300U, the past papers are free to download for you to use as practice for your exams.FACTORISING
Factorising. Factorising is the reverse of expanding brackets, so it is, for example, putting 2x² + x - 3 into the form (2x + 3) (x - 1). This is an important way of solving quadratic equations. The first step of factorising an expression is to 'take out' any common factors which the terms have. So if you were asked to factorise x² + x, since SAMPLING - MATHEMATICS A-LEVEL REVISION A sampling unit is a person/object to be sampled. The sampling units must be defined in such a way that any one member of a population is not sampled more than once. For example, if we were trying to find out how many cars the average family owns, the sampling unit would be a household rather than an individual, because we wouldn"t want to ask UNIT T6 PAPER 1 *GMT61* *20GMT6104* *20GMT6104* 11209 1 There are four outcomes from a game. Outcome Win £5 Win £2 Win £1 No Prize Probability 0.05 0.1 0.6 (a)Complete the table. (b)800 people play the game. Estimate how much prize money is won. Answer £ _____ MARK SCHEME (RESULTS) JANUARY 2019 Apart from Questions 1(c), 5, 6(c), 20 and 21 (where the mark scheme states otherwise), the correct answer, unless clearly obtained by an incorrect method, should be taken to imply a correct method. MARK SCHEME J560/01 GCSE MATHEMATICS (9-1) PAPER 1 J560/01 Mark Scheme November 2018 4 3. Unless the answer and marks columns of the mark scheme specify M and A marks etc., or the mark scheme is ‘banded’, then if the correct answer is clearly given and is not from wrong working full marks should be awarded. Do not award the marks if the answer was obtained from an incorrect method, i.e. incorrect working is seen and the correct answer clearly ASSESSMENT UNIT M1 ASSESSING *AMM11* MODULE M1: MECHANICS 1 *24AMM1114* *24AMM1114* 10441 5 Fig. 2 below shows two particles P and Q moving on a smooth horizontal plane. 2u P 3u Q Fig. 2 The mass of P is 2m kg and the mass of Q is m kg. The particles are moving along the same line but in opposite directions. Immediately before they collide the speed of P is 2u m s –1 and the speed of Q is 3u m s –1 When the particles collide the magnitude of the CAMBRIDGE INTERNATIONAL EXAMINATIONS CAMBRIDGE 2 LE 2017 05802117 1 Simplify. (x2)5 2 The thickness of one sheet of paper is 8 # 10-3 cm. Work out the thickness of 250 sheets of paper.. cm 3 Write 23.4571 correct to (a) 4 significant figures, (b) the nearest 10. 4 The table shows the temperatures in five places at 10 am one day in January. Place Temperature (°C) 0607 CAMBRIDGE INTERNATIONAL MATHEMATICS CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education MARK SCHEME for the May/June 2014 series 0607 CAMBRIDGE INTERNATIONAL MATHEMATICSREVISION MATHS
Revision Maths is part of the Revision World group, giving maths students free GCSE and A Level maths revision resources and maths exam advice. My timetable. Create a Revision Timetable. Create your own individual study planner and revision timetable to help you plan your revision. Find A-Level Past Papers. GCSE MATHS PAST PAPERS GCSE Maths Past Papers. This section includes recent GCSE Maths past papers from AQA, Edexcel, Eduqas, OCR, WJEC, CCEA and the CIE IGCSE. This section also includes SQA National 5 maths past papers. If you are not sure which exam board you are studying ask your teacher. Past papers are a fantastic way to prepare for an exam as you can practise A-LEVEL MATHS PAST PAPERS A-Level Maths Past Papers. This section includes recent A-Level Maths past papers (AS and A2) from AQA, Edexcel, OCR, WJEC, CCEA and CIE. This section also includes SQA Higher and Advanced Higher past papers. If you are not sure which exam board you are studying check with your teacher. Past papers are a useful and productive way to prepare for EDEXCEL GCSE MATHS PAST PAPERS Edexcel GCSE Maths past exam papers and marking schemes for GCSE (9-1) in Mathematics (1MA1) and prior to 2017 Mathematics A and Mathematics B Syllabuses, the past papers are free to download for you to use as practice for your exams. AQA GCSE MATHS PAST PAPERS AQA GCSE Mathematics (8300) and Statistics (8382) past exam papers and marking schemes, the AQA past papers are free to download for you to use as practice for your exams. DIFFERENTIATION FROM FIRST PRINCIPLES This section looks at calculus and differentiation from first principles. Differentiating a linear function A straight line has a constant gradient, or in other words, the rate of change of ySEC, COSEC AND COT
Secant, cosecant and cotangent, almost always written as sec, cosec and cot are trigonometric functions like sin, cos and tan. sec x = 1. cos x. cosec x = 1. sin x. cot x = 1 = cos x. tan x sin x. Note, sec x is not the same as cos -1 x (sometimes written as arccos x). Remember, you cannot divide by zero and so these definitions are only valid COMPOUND ANGLE FORMULAE Compound Angle Formulae. This section covers compound angle formulae and double angle formulae. sin (A + B) DOES NOT equal sinA + sinB. Instead, you must expand such expressions using the formulae below. The following are important trigonometric relationships: sin (A + B) = sinAcosB + cosAsinB. cos (A + B) = cosAcosB - sinAsinB. EXPECTATION AND VARIANCE The expected value (or mean) of X, where X is a discrete random variable, is a weighted average of the possible values that X can take, each value being weighted according to the probability of that event occurring. The expected value of X is usually written as E(X) or m. E(X) = S x P(X = x) So the expected value is the sum of: [(each of the possible outcomes) × (the probability of theAREA UNDER A CURVE
The area under a curve between two points can be found by doing a definite integral between the two points. To find the area under the curve y = f (x) between x = a and x = b, integrate y = f (x) between the limits of a and b. Areas under the x-axis will come out negative and areas above the x-axis will be positive. This means that you haveto
REVISION MATHS
Revision Maths is part of the Revision World group, giving maths students free GCSE and A Level maths revision resources and maths exam advice. My timetable. Create a Revision Timetable. Create your own individual study planner and revision timetable to help you plan your revision. Find A-Level Past Papers. GCSE MATHS PAST PAPERS GCSE Maths Past Papers. This section includes recent GCSE Maths past papers from AQA, Edexcel, Eduqas, OCR, WJEC, CCEA and the CIE IGCSE. This section also includes SQA National 5 maths past papers. If you are not sure which exam board you are studying ask your teacher. Past papers are a fantastic way to prepare for an exam as you can practise A-LEVEL MATHS PAST PAPERS A-Level Maths Past Papers. This section includes recent A-Level Maths past papers (AS and A2) from AQA, Edexcel, OCR, WJEC, CCEA and CIE. This section also includes SQA Higher and Advanced Higher past papers. If you are not sure which exam board you are studying check with your teacher. Past papers are a useful and productive way to prepare for EDEXCEL GCSE MATHS PAST PAPERS Edexcel GCSE Maths past exam papers and marking schemes for GCSE (9-1) in Mathematics (1MA1) and prior to 2017 Mathematics A and Mathematics B Syllabuses, the past papers are free to download for you to use as practice for your exams. AQA GCSE MATHS PAST PAPERS AQA GCSE Mathematics (8300) and Statistics (8382) past exam papers and marking schemes, the AQA past papers are free to download for you to use as practice for your exams. DIFFERENTIATION FROM FIRST PRINCIPLES This section looks at calculus and differentiation from first principles. Differentiating a linear function A straight line has a constant gradient, or in other words, the rate of change of ySEC, COSEC AND COT
Secant, cosecant and cotangent, almost always written as sec, cosec and cot are trigonometric functions like sin, cos and tan. sec x = 1. cos x. cosec x = 1. sin x. cot x = 1 = cos x. tan x sin x. Note, sec x is not the same as cos -1 x (sometimes written as arccos x). Remember, you cannot divide by zero and so these definitions are only valid COMPOUND ANGLE FORMULAE Compound Angle Formulae. This section covers compound angle formulae and double angle formulae. sin (A + B) DOES NOT equal sinA + sinB. Instead, you must expand such expressions using the formulae below. The following are important trigonometric relationships: sin (A + B) = sinAcosB + cosAsinB. cos (A + B) = cosAcosB - sinAsinB. EXPECTATION AND VARIANCE The expected value (or mean) of X, where X is a discrete random variable, is a weighted average of the possible values that X can take, each value being weighted according to the probability of that event occurring. The expected value of X is usually written as E(X) or m. E(X) = S x P(X = x) So the expected value is the sum of: [(each of the possible outcomes) × (the probability of theAREA UNDER A CURVE
The area under a curve between two points can be found by doing a definite integral between the two points. To find the area under the curve y = f (x) between x = a and x = b, integrate y = f (x) between the limits of a and b. Areas under the x-axis will come out negative and areas above the x-axis will be positive. This means that you haveto
OCR GCSE MATHS PAST PAPERS OCR GCSE Maths (9-1) (J560) past exam papers. Prior to 2017 OCR ran two syllabuses Mathematics A and Mathematics B. If you are not sure which syllabus you are studying or which exam tier (foundation or higher) you are sitting check with your teacher. ALGEBRAIC LONG DIVISION It is often useful to know what this remainder is and it can often be calculated without going through the process of dividing. The rule is: In the above example, 2x³ - 3x² - 3x + 2 was divided by x - 2. Let f (x) = 2x³ - 3x² - 3x + 2 . In this case, a = 1, b = 2. The remainder is therefore f (2) = 2×2³ - 3×2² - FUNCTIONS – ALGEBRA A function may be thought of as a rule which takes each member x of a set and assigns, or maps it to the same value y known at its image.. x → Function → y. A letter such as f, g or h is often used to stand for a function.The Function which squares a number and adds on a 3, can be written as f(x) = x 2 + 5.The same notion may also be used to show how a function affects particular values.FACTORISING
Factorising. Factorising is the reverse of expanding brackets, so it is, for example, putting 2x² + x - 3 into the form (2x + 3) (x - 1). This is an important way of solving quadratic equations. The first step of factorising an expression is to 'take out' any common factors which the terms have. So if you were asked to factorise x² + x, since THE SECOND DERIVATIVE The second derivative can be used as an easier way of determining the nature of stationary points (whether they are maximum points, minimum points or points of inflection). A stationary point on a curve occurs when dy/dx = 0. Once you have established where there is a stationary point, the type of stationary point (maximum, minimum or point of PERMUTATIONS AND COMBINATIONS A permutation is an ordered arrangement. The number of ordered arrangements of r objects taken from n unlike objects is: n P r = n! . (n – r)! Example. In the Match of the Day’s goal of the month competition, you had to pick the top 3 goals out of 10. Since the order is important, it THE UNIFORM DISTRIBUTION A continuous random variable X which has probability density function given by: (and f (x) = 0 if x is not between a and b) follows a uniform distribution with parameters a and b. We write X ~ U (a,b) Remember that the area under the graph of the random variable must beequal to
ONE AND TWO TAILED TESTS A one-tailed test looks for an increase or decrease in the parameter whereas a two-tailed test looks for any change in the parameter (which can be any change- increase or decrease). We can perform the test at any level (usually 1%, 5% or 10%). For example, performing the test at a 5% level means that there is a 5% chance of wrongly rejecting H 0.THE TRAPEZIUM RULE
The trapezium rule works by splitting the area under a curve into a number of trapeziums, which we know the area of. If we want to find the area under a curve between the points x 0 and x n, we divide this interval up into smaller intervals, each of which has length h (see diagram above). If the original interval was split up into n smallerMOTION IN A CIRCLE
This page covers Motion in a circle. Angular Speed. Imagine an object is moving round a circular path. The angular speed is how fast the angle (which I have labelled "a") changes. So it measures how fast the object is moving round the circle.REVISION MATHS
Revision Maths is part of the Revision World group, giving maths students free GCSE and A Level maths revision resources and maths exam advice. My timetable. Create a Revision Timetable. Create your own individual study planner and revision timetable to help you plan your revision. Find A-Level Past Papers. GCSE MATHS PAST PAPERS GCSE Maths Past Papers. This section includes recent GCSE Maths past papers from AQA, Edexcel, Eduqas, OCR, WJEC, CCEA and the CIE IGCSE. This section also includes SQA National 5 maths past papers. If you are not sure which exam board you are studying ask your teacher. Past papers are a fantastic way to prepare for an exam as you can practise A-LEVEL MATHS PAST PAPERS A-Level Maths Past Papers. This section includes recent A-Level Maths past papers (AS and A2) from AQA, Edexcel, OCR, WJEC, CCEA and CIE. This section also includes SQA Higher and Advanced Higher past papers. If you are not sure which exam board you are studying check with your teacher. Past papers are a useful and productive way to prepare for EDEXCEL GCSE MATHS PAST PAPERS Edexcel GCSE Maths past exam papers and marking schemes for GCSE (9-1) in Mathematics (1MA1) and prior to 2017 Mathematics A and Mathematics B Syllabuses, the past papers are free to download for you to use as practice for your exams. AQA GCSE MATHS PAST PAPERS AQA GCSE Mathematics (8300) and Statistics (8382) past exam papers and marking schemes, the AQA past papers are free to download for you to use as practice for your exams. DIFFERENTIATION FROM FIRST PRINCIPLES This section looks at calculus and differentiation from first principles. Differentiating a linear function A straight line has a constant gradient, or in other words, the rate of change of ySEC, COSEC AND COT
Secant, cosecant and cotangent, almost always written as sec, cosec and cot are trigonometric functions like sin, cos and tan. sec x = 1. cos x. cosec x = 1. sin x. cot x = 1 = cos x. tan x sin x. Note, sec x is not the same as cos -1 x (sometimes written as arccos x). Remember, you cannot divide by zero and so these definitions are only valid COMPOUND ANGLE FORMULAE Compound Angle Formulae. This section covers compound angle formulae and double angle formulae. sin (A + B) DOES NOT equal sinA + sinB. Instead, you must expand such expressions using the formulae below. The following are important trigonometric relationships: sin (A + B) = sinAcosB + cosAsinB. cos (A + B) = cosAcosB - sinAsinB. EXPECTATION AND VARIANCE The expected value (or mean) of X, where X is a discrete random variable, is a weighted average of the possible values that X can take, each value being weighted according to the probability of that event occurring. The expected value of X is usually written as E(X) or m. E(X) = S x P(X = x) So the expected value is the sum of: [(each of the possible outcomes) × (the probability of theAREA UNDER A CURVE
The area under a curve between two points can be found by doing a definite integral between the two points. To find the area under the curve y = f (x) between x = a and x = b, integrate y = f (x) between the limits of a and b. Areas under the x-axis will come out negative and areas above the x-axis will be positive. This means that you haveto
REVISION MATHS
Revision Maths is part of the Revision World group, giving maths students free GCSE and A Level maths revision resources and maths exam advice. My timetable. Create a Revision Timetable. Create your own individual study planner and revision timetable to help you plan your revision. Find A-Level Past Papers. GCSE MATHS PAST PAPERS GCSE Maths Past Papers. This section includes recent GCSE Maths past papers from AQA, Edexcel, Eduqas, OCR, WJEC, CCEA and the CIE IGCSE. This section also includes SQA National 5 maths past papers. If you are not sure which exam board you are studying ask your teacher. Past papers are a fantastic way to prepare for an exam as you can practise A-LEVEL MATHS PAST PAPERS A-Level Maths Past Papers. This section includes recent A-Level Maths past papers (AS and A2) from AQA, Edexcel, OCR, WJEC, CCEA and CIE. This section also includes SQA Higher and Advanced Higher past papers. If you are not sure which exam board you are studying check with your teacher. Past papers are a useful and productive way to prepare for EDEXCEL GCSE MATHS PAST PAPERS Edexcel GCSE Maths past exam papers and marking schemes for GCSE (9-1) in Mathematics (1MA1) and prior to 2017 Mathematics A and Mathematics B Syllabuses, the past papers are free to download for you to use as practice for your exams. AQA GCSE MATHS PAST PAPERS AQA GCSE Mathematics (8300) and Statistics (8382) past exam papers and marking schemes, the AQA past papers are free to download for you to use as practice for your exams. DIFFERENTIATION FROM FIRST PRINCIPLES This section looks at calculus and differentiation from first principles. Differentiating a linear function A straight line has a constant gradient, or in other words, the rate of change of ySEC, COSEC AND COT
Secant, cosecant and cotangent, almost always written as sec, cosec and cot are trigonometric functions like sin, cos and tan. sec x = 1. cos x. cosec x = 1. sin x. cot x = 1 = cos x. tan x sin x. Note, sec x is not the same as cos -1 x (sometimes written as arccos x). Remember, you cannot divide by zero and so these definitions are only valid COMPOUND ANGLE FORMULAE Compound Angle Formulae. This section covers compound angle formulae and double angle formulae. sin (A + B) DOES NOT equal sinA + sinB. Instead, you must expand such expressions using the formulae below. The following are important trigonometric relationships: sin (A + B) = sinAcosB + cosAsinB. cos (A + B) = cosAcosB - sinAsinB. EXPECTATION AND VARIANCE The expected value (or mean) of X, where X is a discrete random variable, is a weighted average of the possible values that X can take, each value being weighted according to the probability of that event occurring. The expected value of X is usually written as E(X) or m. E(X) = S x P(X = x) So the expected value is the sum of: [(each of the possible outcomes) × (the probability of theAREA UNDER A CURVE
The area under a curve between two points can be found by doing a definite integral between the two points. To find the area under the curve y = f (x) between x = a and x = b, integrate y = f (x) between the limits of a and b. Areas under the x-axis will come out negative and areas above the x-axis will be positive. This means that you haveto
OCR GCSE MATHS PAST PAPERS OCR GCSE Maths (9-1) (J560) past exam papers. Prior to 2017 OCR ran two syllabuses Mathematics A and Mathematics B. If you are not sure which syllabus you are studying or which exam tier (foundation or higher) you are sitting check with your teacher. ALGEBRAIC LONG DIVISION It is often useful to know what this remainder is and it can often be calculated without going through the process of dividing. The rule is: In the above example, 2x³ - 3x² - 3x + 2 was divided by x - 2. Let f (x) = 2x³ - 3x² - 3x + 2 . In this case, a = 1, b = 2. The remainder is therefore f (2) = 2×2³ - 3×2² - FUNCTIONS – ALGEBRA A function may be thought of as a rule which takes each member x of a set and assigns, or maps it to the same value y known at its image.. x → Function → y. A letter such as f, g or h is often used to stand for a function.The Function which squares a number and adds on a 3, can be written as f(x) = x 2 + 5.The same notion may also be used to show how a function affects particular values.FACTORISING
Factorising. Factorising is the reverse of expanding brackets, so it is, for example, putting 2x² + x - 3 into the form (2x + 3) (x - 1). This is an important way of solving quadratic equations. The first step of factorising an expression is to 'take out' any common factors which the terms have. So if you were asked to factorise x² + x, since THE SECOND DERIVATIVE The second derivative can be used as an easier way of determining the nature of stationary points (whether they are maximum points, minimum points or points of inflection). A stationary point on a curve occurs when dy/dx = 0. Once you have established where there is a stationary point, the type of stationary point (maximum, minimum or point of PERMUTATIONS AND COMBINATIONS A permutation is an ordered arrangement. The number of ordered arrangements of r objects taken from n unlike objects is: n P r = n! . (n – r)! Example. In the Match of the Day’s goal of the month competition, you had to pick the top 3 goals out of 10. Since the order is important, it THE UNIFORM DISTRIBUTION A continuous random variable X which has probability density function given by: (and f (x) = 0 if x is not between a and b) follows a uniform distribution with parameters a and b. We write X ~ U (a,b) Remember that the area under the graph of the random variable must beequal to
ONE AND TWO TAILED TESTS A one-tailed test looks for an increase or decrease in the parameter whereas a two-tailed test looks for any change in the parameter (which can be any change- increase or decrease). We can perform the test at any level (usually 1%, 5% or 10%). For example, performing the test at a 5% level means that there is a 5% chance of wrongly rejecting H 0.THE TRAPEZIUM RULE
The trapezium rule works by splitting the area under a curve into a number of trapeziums, which we know the area of. If we want to find the area under a curve between the points x 0 and x n, we divide this interval up into smaller intervals, each of which has length h (see diagram above). If the original interval was split up into n smallerMOTION IN A CIRCLE
This page covers Motion in a circle. Angular Speed. Imagine an object is moving round a circular path. The angular speed is how fast the angle (which I have labelled "a") changes. So it measures how fast the object is moving round the circle. Skip to main contentSEARCH FORM
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