Edexcel Olevel Math B revision notes
Join us for the "Edexcel OLevel Mathematics B Revision Notes" course. Our comprehensive notes cover number theory, algebra, geometry, and calculus, helping you ...
Join us for the "Edexcel OLevel Mathematics B Revision Notes" course. Our comprehensive notes cover number theory, algebra, geometry, and calculus, helping you ...
Welcome to "Edexcel OLevel Mathematics B Revision Notes". This course is designed to help students excel in their Edexcel OLevel Mathematics (Math B) exams. Our comprehensive revision notes cover all topics required for the Mathematics syllabus, providing a strong foundation and ensuring you are well-prepared for your exams.
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Lesson-1.1.1- The ordinary processes of number manipulation.
Lesson-1.1.2- Prime numbers, factors, multiples.
Lesson-1.1.3- Indices, powers and roots (Use index notation and index laws for multiplication and division involving integer, fractional and negative powers)
Lesson-1.1.4- Simple manipulation of surds.
Lesson-1.1.5- Rationalizing the denominator.
Lesson-1.1.6- Natural numbers, integers and rational and irrational numbers.
Lesson-1.1.7- Weights, measures and money.
Lesson-1.1.8- Fractions, decimals, ratio, proportion and percentage.
Lesson-1.1.9- Expressing numbers to a given degree of accuracy.
Lesson-1.1.10- Solve problems using upper and lower bounds where values are given to a degree of accuracy.
Lesson-1.1.11- Numbers in standard form.
Lesson-2.1.1- The idea of a set.
Lesson-2.2.2- Set language and notation.
Lesson-2.2.3- Union and intersection of sets.
Lesson-2.2.4- Number of elements in a set.
Lesson-2.2.5- Complementary sets.
Lesson-2.2.6- Subsets.
Lesson-2.2.7- Universal set, null set.
Lesson-2.2.8- Venn diagrams and their use in simple logical problems.
Lesson-2.2.9- Use of symbols to represent sets.
Lesson-2.3.1- The basic processes of algebra.
Lesson-3.3.2-The construction, interpretation and use of formulae and their manipulation.
Lesson-3.3.3- The factorization of simple algebraic expressions.
Lesson-3.3.4- Use of the factor theorem.
Lesson-3.3.5- Algebraic division of a cubic by a linear factor.
Lesson-3.3.6- The manipulation of simple algebraic fractions, the denominators being numerical, linear or quadratic.
Lesson-3.3.7- Solution of equations of 1st, 2nd and 3rd degree containing one unknown quantity.
Lesson-3.3.8- Solution of linear simultaneous equations in two unknowns.
Lesson-3.3.9- Solve simultaneous equations in two unknowns, one equation being linear and the other being quadratic.
Lesson-3.3.10- Solution of linear inequalities, and the representations of solutions on the number line and two-dimensional space.
Lesson-3.3.11- Solve quadratic inequalities in one unknown and represent the solution set on a number line.
Lesson-3.3.12- The idea of a sequence.
Lesson-4.1.1- The idea of a function of a variable
Lesson-4.1.2- Function as a mapping or as a correspondence between the elements of two sets.
Lesson-4.1.3- Use functional notations of the form f(x) =… and f: x …
Lesson-4.1.4- Composite functions.
Lesson-4.1.5- Inverse functions
Lesson-4.1.6- Variation, direct and indirect proportion.
Lesson-4.1.7- Rectangular Cartesian co-ordinates.
Lesson-4.1.8- Recognise that equations of the form y = mx + c are straight–line graphs with gradient m and intercept on the y-axis at the point (0, c).
Lesson-4.1.9- Graphs and graphical treatment of the equation: 3 2 2 E F y Ax Bx Cx D x x = + + +++ in which the constants are numerical and at least three of them are zero.
Lesson-4.1.10- The gradients of graphs above by drawing.
Lesson-4.1.11- Differentiation of integer powers of x.
Lesson-4.1.12- Determination of gradients, rates of change, maxima and minima, stationary points and turning points.
Lesson-4.1.13- Applications to linear kinematics and to other simple practical problems.
Lesson-5.1.1- Representation of data by a matrix.
Lesson-5.1.2- Addition and multiplication of matrices.
Lesson-5.1.3- Multiplication of a matrix by a scalar.
Lesson-5.1.4- Unit (identity) matrix and zero (null) matrix.
Lesson-5.1.5- Determinants and inverses of non-singular 2 × 2 matrices.
Lesson-5.1.6- Transformations of the plane associated with 2 × 2 matrices.
Lesson-5.1.7- Combination of transformations.
Lesson-6.1.1- Geometrical properties of Euclidean space, as listed below.
Lesson-6.1.2- Geometrical reasoning.
Lesson- 6.1.3- Angle properties of parallel lines, triangles and polygons, including regular polygons.
Lesson-6.1.4- Properties of the parallelogram, rectangle, square, rhombus, trapezium and kite.
Lesson-6.1.5- Symmetry about a point, line or plane.
Lesson-6.1.6- Use of Pythagoras’ theorem in 2D and 3D.
Lesson-6.1.7- Similarity: areas and volumes of similar figures.
Lesson-6.1.8- Prove the similarity of two triangles.
Lesson-6.1.9- Congruent shapes.
Lesson-6.1.10- Understand and use SSS, SAS, ASA and RHS conditions to prove the congruence of triangles.
Lesson-6.1.11- Chord, angle and tangent properties of circles.
Lesson-6.1.12- Properties of a cyclic quadrilateral.
Lesson-6.1.13- Loci in two dimensions.
Lesson-6.1.14- Constructions of bisector of an angle and of perpendicular bisector (mediator) of a straight line.
Lesson-7.1.1- Length, area, and volume.
Lesson-7.1.2- Mensuration of two-dimensional shapes, rectangle, parallelogram, trapezium, triangle, circle.
Lesson-7.1.3- Mensuration of three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism.
Lesson-7.1.4- Length of an arc, area of a sector of a circle.
Lesson-8.1.1- Scalar and vector quantities.
Lesson-8.1.2- Understand and use vector notation.
Lesson-8.1.3- Representation of a vector by a directed line segment.
Lesson-8.1.4- Parallel vectors, unit vectors and position vectors.
Lesson-8.1.5- Sum and difference of two vectors.
Lesson-8.1.6- Modulus (magnitude) of a vector.
Lesson-8.1.7- Multiplication of a vector by a scalar.
Lesson-8.1.8- Find the resultant of two or more vectors.
Lesson-8.1.9- Apply vector methods to simple geometrical problems.
Lesson-8.1.10- Transformations of the plane.
Lesson-8.1.11- Combination of transformations.
Lesson-8.1.12- Multiplication of a vector by a matrix.
Lesson-10.1.1- Graphical representation of numerical data.
Lesson-10.1.2- Determination of the mean, median and mode for a discrete data set.
Lesson-10.1.3- Calculation of an estimate of the mean of a larger number of quantities given in grouped frequencies.
Lesson-10.1.4- Determination of a modal class and the class containing the median for grouped data.
Lesson-10.1.5- Understand the language and basic concepts of probability.
Lesson-10.1.6- Use of addition rule for two or more mutually exclusive events.
Lesson-10.1.7- Use of product rule for two or more independent events.
Lesson-10.1.8- Determination of the probability of two or more independent events.
Lesson-10.1.9- Using simple conditional probability for combined events.
Lesson-10.1.10- Finding very simple conditional probability.
Lesson-10.1.11- Understand and use the term ‘expected frequency’
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