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 Viete’s formulas for the sum and the product of the roots of a quadratic equation. The exercises include finding the sum and the product of the roots of given equations, finding a quadratic equation given its roots and deciding whether two given values are the roots of a specific equation. Solutions are provided.
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.
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.
A worksheet on Viete’s formulas for the sum and the product of the roots of a quadratic equation. The exercises include finding the sum and the product of the roots of given equations, finding a quadratic equation given its roots and deciding whether two given values are the roots of a specific equation. Solutions are provided.
Three worksheets on parabolas. One on transforming parabolas: The exercises include finding the equation of the parabola that occurs after translating the parabolas y=x^2 and y=-x^2 vertically and horizontally and writing the equations of parabolas which are translations of the parabolas y=x^2 and y=-x^given their graphs. One on the parabola y=ax^2: The exercises include identifying whether a given parabola of this form has a maximum or a minimum and matching given graphs of such parabolas to their equations. And one 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 worksheet on transforming parabolas. The exercises include finding the equation of the parabola that occurs after translating the parabolas y=x^2 and y=-x^2 vertically and horizontally and writing the equations of parabolas which are translations of the parabolas y=x^2 and y=-x^2 given their graphs. Solutions are provided.
A worksheet on factorising algebraic expressions. The exercises require factorising simple binomials, differences of two squares, perfect squares and trinomials with their leading coefficient equal to one. Good for GCSE/IGCSE students. Solutions are included.
Three worksheets on expanding a square of a sum or a difference of two algebraic terms. One one the sum, one on the difference and one on both. Solutions are included.
Three worksheets on calculating the distance of the line segment joining two points and the coordinates of their midpoint. One on the midpoint, one on the distance and one on both. Solutions are included.
