Fully comprehensive math worksheets with detailed solutions and other math resources for students of all abilities and levels (KS2, KS3, SATs, 11+, GCSEs, iGCSEs, A-Levels, Scottish Highers and Advanced Highers, International Baccalaureate, BTECs or even university or college degree level).
Fully comprehensive math worksheets with detailed solutions and other math resources for students of all abilities and levels (KS2, KS3, SATs, 11+, GCSEs, iGCSEs, A-Levels, Scottish Highers and Advanced Highers, International Baccalaureate, BTECs or even university or college degree level).
An introductory worksheet on negative rational numbers. The exercises require to order a given set of numbers, compare pairs of given numbers, find missing numbers in a given sequence.
Three worksheets on factorials. The exercises require to evaluate expressions involving factorials, simplify expressions with factorials and solve equations involving factorials. Detailed solutions are included.
An introductory worksheet on exponential functions. The exercises include stating whether a given function is exponential or not, evaluating an exponential function at some values, determining the constant term of an exponential function given a point on its graph and sketching exponential functions. Solutions are provided.
Three introductory worksheets on negative rational numbers. The exercises require to order a given set of numbers, compare pairs of given numbers, find missing numbers in a given sequence.
Solutions are included.
A worksheet on factorials. The exercises require to evaluate expressions involving factorials, simplify expressions with factorials and solve equations involving factorials. Detailed solutions are included.
A worksheet on expanding and simplifying expressions using the identities for the square of a sum or a difference of two terms, the cube of a sum or a difference of two terms and the difference of two squares. It included some more demanding exercises that require to prove new identities or evaluate the value of given expressions using the identities. Solutions are included.
A worksheet on factorising algebraic expressions (quadratics included), simplifying algebraic expressions, performing the four operations between algebraic fractions, solving equations and word problems using factorisation. detailed solutions are included.
A worksheet on logarithmic functions. The exercises require to sketch graphs of such functions, find their domain and the functions which are symmetric to them about the line y=x.
Detailed solutions are included.
A worksheet on the basic properties of logarithms: product rule,
division rule, power rule/exponential rule and change of base rule.
Detailed solutions are included.
An introductory worksheet on logarithms. The exercises require converting expressions from exponential to logarithmic form, evaluating given logarithms and solving equations involving logarithms or exponential equations.
Detailed solutions are included.
A review worksheet on the equation of a straight line and simultaneous equations. The exercises require to find the midpoint of a line segment and the distance between two points, to find the relative position of two given lines, find the equation of a line passing through a given point and parallel to a given line, use graphs of lines to find the solution of simultaneous equations, solve simultaneous equations algebraically and solve word problems using simultaneous equations. Detailed solutions are included.
A worksheet on equations with logarithms. It includes introductory and harder exercises on this topic. Some equations require to use the properties of logarithms to solve them. Detailed solutions are included. Good for A level students.
Three worksheets on the following topics
Introduction to Logarithms: The exercises require converting expressions from exponential to logarithmic form, evaluating given logarithms and solving equations involving logarithms or exponential equations.
Properties of Logarithms: The exercises require using the basic properties of logarithms, product rule,
division rule, power rule/exponential rule and change of base rule.
Logarithmic Function: he exercises require to sketch graphs of such functions, find their domain and the functions which are symmetric to them about the line y=x.
Detailed solutions are included.
A worksheet with exercises that require to determine whether a given quadrilateral is a parallelogram or not. It aims to help students understand the five properties that can be used to prove that a quadrilateral is a parallelogram. Detailed solutions are included.
A worksheet with exercises that require to determine whether a given quadrilateral is a rectangle or not. It aims to help students understand the properties that can be used to prove that a quadrilateral is a rectangle. Detailed solutions are included.
An introductory worksheet on the limit of a function. It aims to teach students that the limit of a function at a point exists if and only if the two one-sided limits exist and are equal at this point. Detailed solutions are included.
A worksheet on evaluating the limit of a polynomial at infinity. The exercises aim to teach students that in order to find the limit of such functions you consider the term in which the variable has the highest degree and how to find the limit using the graph of the function. Detailed solutions are provided.
A worksheet on the order of operations. The exercises aim to practice the correct order of operations: Brackets, Indices, Division, Multiplication, Addition, Subtraction (BIDMAS) and include two or more operations. Expressions with two or more operations are given and some terms are missing. Detailed solutions are included.
A worksheet on the order of operations. The exercises aim to practice the correct order of operations: Brackets, Indices, Division, Multiplication, Addition, Subtraction (BIDMAS) and include two or more operations. Expressions with two or more operations are given and some terms are missing. Detailed solutions are included.
