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 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.
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 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 determining the sign of a trinomial in each interval by using the real roots that it has and the sign of its leading coefficient and solving quadratic inequalities using this method. Solutions are provided.
A worksheet on determining whether a given mapping diagram represents a function or not and in the case of a function stating its domain and range. Solutions are provided.
A collection of three worksheets, one worksheet on finding the domain of a given function and two on finding the domain of a function. 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 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 worksheet on factorising quadratic expressions in which the coefficient of the leading term is one, the coefficient of x is less than zero and the constant term is greater than zero. 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 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 collection of three worksheets on determining the gradient of a straight line after rearranging its equation to the slope-intercept form. Solutions are provided.
