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 evaluating the distance between two points and the midpoint of a line segment. It begins with easy exercises requiring application of the formulas and continues with more demanding exercises. Detailed solutions are included.
A worksheet on determining whether two lines are parallel, intersect or coincide and examining if they are perpendicular. Detailed solutions are included.
Three worksheets on determining whether two lines are parallel, intersect or coincide and examining if they are perpendicular. Detailed solutions are included.
Three worksheets on solving simultaneous equations using the methods of substitution and elimination. The exercise require to solve simple and more complicated pairs of equations simultaneously and use simultaneous equations to solve word problems. Detailed solutions are included.
A worksheet on solving simultaneous equations using the methods of substitution and elimination. The exercise require to solve simple and more complicated pairs of equations simultaneously and use simultaneous equations to solve word problems. Detailed solutions are included.
A worksheet on evaluating the total surface area and the volume of right prisms: cubes, rectangular prisms and triangular prisms. Detailed solutions are included.
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.
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.
An introductory worksheet on the trigonometric ratios sine, cosine and tangent. The exercises require to evaluate these ratios for an angle in a given triangle, to identify the trigonometric ratio that corresponds to a given ratio for a given triangle, to use a calculator to evaluate the trigonometric ratio of a given angle or the angle given one of its trigonometric ratios, to associate the sine or cosine of an angle to the cosine or sine of its complementary angle and and to solve word problems using trigonometric ratios. 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.
Three worksheets on the following basic properties of logarithms:
log_a 1=0
log_a a=1
log_a a^x=x
a^{log_a x}=x
product rule
division rule
power rule/exponential rule
change of base rule
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.
A worksheet on examining whether two given functions are equal by examining their domain and their value at each element of their domain. Detailed solutions are included.
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.
A collection of three worksheets on functions.
The first worksheet aims to introduce the concept of 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.
The second worksheet 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.
The third worksheet is 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.
A worksheet on adding, subtracting, multiplying and dividing functions and determining the domain of the functions produced. Detailed solutions are included.
A worksheet on examining whether a function is one-to-one, given its equation, mapping diagram, set of ordered pairs or graph. Detailed solutions are included.
