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 factorising quadratic expressions in which the coefficient of the leading term is one and the other two coefficients are negative. Solutions are provided.
A worksheet on factorising quadratic expressions in which the coefficient of the leading term is one and the other two coefficients are greater than zero. Solutions are provided.
A collection of 5 worksheets on factorising quadratic expressions in which the coefficient of the leading term is one. Each of them focuses on one of the following cases:
Quadratic expressions with a=1 and b, c > 0
Quadratic expressions with a=1, b negative and c positive
Quadratic expressions with a=1 and c less than 0
Quadratic expressions with a=1 and b, c less than zero
Quadratic expressions with a=1, b less than 0 and c greater than 0
Solutions are provided.
Three worksheets on factorising quadratic expressions with the coefficient of the leading term being one . One with expressions in which the other two coefficients are greater than zero, one in which the coefficient of x is less than zero and the constant term is greater than zero and one in which the constant term is less than zero. Solutions are provided.
A collection of three worksheets an exponential functions and exponential equations. An introductory worksheet on exponential functions with exercises that include stating whether a given function is exponential or not, evaluating an exponential function at some values and determining the constant term of an exponential function given a point on its graph. A worksheet on graphing exponential functions by transforming the standard exponential functions e^x and e^-x. A worksheet on solving exponential equations of the form a^x=b. 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 and determining the constant term of an exponential function given a point on its graph. Solutions are provided.
A worksheet on the discriminant of a quadratic equation. The exercises include evaluating the discriminant of given equations, determining the number of real solutions of given quadratic equations and deciding whether the discriminant of a quadratic equation is positive, negative or zero by the corresponding graph. Solutions are provided.
A collection of three worksheets. Two worksheets on the discriminant of a quadratic equation with exercises for evaluating the discriminant of given equations, determining the number of real solutions of given quadratic equations and deciding whether the discriminant of a quadratic equation is positive, negative or zero by the corresponding graph and one worksheet on solving quadratic equations using the quadratic formula… Solutions are provided.
Three worksheets on the discriminant of a quadratic equation. The exercises include evaluating the discriminant of given equations. Solutions are provided.
A worksheet on rational exponents. The exercises include converting written in exponential form to radical form and vice versa and simplifying powers with rational exponents. Solutions are provided.
Three worksheets on the following topics.
Parts of a Circle: A worksheet on identifying the following parts of a circle: center, radius, diameter, chord, arc and central angle. The exercises require to identify these in given circles and test whether students know basic facts about them.
Circumference and area of a circle: A worksheet on finding the circumference and area of a circle given its radius or diameter.
Relative Position of Two Circles: A worksheet on determining whether two given circles intersect each other at two points, touch each other externally, touch each other internally, lie outside each other or the one lies inside the other, by considering the distance of their centers.
Detailed solutions are included.
A worksheet on determining whether two given circles intersect each other at two points, touch each other externally, touch each other internally, lie outside each other or the one lies inside the other, by considering the distance of their centres. Detailed solutions are included.