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).
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 on the following triangle and parallel lines theorems:
The line segment joining the mid - points of any two sides of a triangle is parallel to the third side and equal to half of it.
The median to the hypotenuse of a right triangle is equal to half of the hypotenuse
In a right triangle the side opposite the 30 degree angle is half the length of the hypotenuse.
If three or more parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal.
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. 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 collection of three worksheets on addition, subtraction, multiplication and division of integers and addition and subtraction of positive and negative fractions. 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.
An introductory 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 evaluating the limit of a polynomial or rational function. The exercises aim to teach students that in order to find the limit of such functions you substitute the value of the limit and in the cases where the denominator is zero you simplify the function if possible and then substitute. Detailed solutions are provided.
A worksheet on differentiating using the basic rules for functions that are constant, powers of a variable or sums of powers of a variable, products of a constant and another function, products or quotients of two functions. Detailed solutions are provided. Good for GCSE/IGCSE students.
An introductory worksheet on differentiating functions from first principles using the definition of the derivative as the limit of the quotient f(x+h)-f(x)/h as h tends to zero. Detailed solutions are included.
Three 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. One of the worksheets has elementary exercises and the other two have harder exercises. Detailed solutions are included.
An introductory worksheet on differentiating simple functions from first principles using the definition of the derivative at x0 as the limit of the quotient f(x)-f(x0)/x-x0 at this point. Detailed solutions are included.
A worksheet on using differentiation in order to determine the gradient (and the equation) of the tangent of a function at a given point. Detailed solutions are provided. Good for GCSE/IGCSE students.
A worksheet that aims to teach students various ways of representing a function: mapping diagrams, sets of ordered pairs, graphs and equations. The exercises require to find the sets of ordered pairs associated with functions given in the form of mapping diagrams, examine whether some given sets, graphs or equations represent functions and find the domain and range of some functions given their graphs. Detailed solutions are provided.
A worksheet on finding the domain or the range of a given function (including the cases of polynomial functions, rational functions and functions with square roots). Detailed solutions are included.
An introductory worksheet on functions. The exercises require to state whether a given mapping diagram represents a function or not, to determine the domain and range of functions given the corresponding mapping diagrams, to evaluate functions at specific values and to use functions to model real life problems. Detailed solutions are provided.
