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 quadratic functions of the form f(x) = ax² + bx + c and equations of the form ax² + bx + c=0. The exercises require to use the graph of such functions to determine the sign of the discriminant and the solution or solutions if they exist, find the sign of a, the value of c the range of f, the line of symmetry of the graph and the maximum value of f. In addition, functions or equations of this form with parameters in them are given and the students are required to determine the values of the parameters so that the value has specific solutions, a given line of symmetry, a given number of roots or a given point of intersection with the y-axis.
Detailed solutions are included.
A worksheet on determining the sign of trinomials given the trinomials or their graphs and solving quadratic inequalities using sign tables. Detailed solutions are included.
A worksheet on sum and product of roots of quadratics. The exercises require to find the sum or product of the roots of a given quadratic equation, evaluate parameters in a given quadratic equation so that its roots have a specific sum or product, find a quadratic equation given its roots, factorise quadratic expressions and simplify algebraic fractions involving quadratic expressions. Detailed solutions are included.
A worksheet on derivatives of sine, cosine, tangent, cotangent, secant and cosecant and the chain rule. Detailed solutions are included. From https://mathamaniacs.com/
A worksheet on dividing whole numbers by fractions, fractions by fractions, mixed numbers by fractions and mixed numbers by mixed numbers. Detailed solutions are included. From https://placeformath.blogspot.com/p/worksheet-shop.html
A worksheet on double angle identities for sine, cosine, tangent and cotangent. The exercises require to evaluate the exact values of such trigonometric numbers and prove identities involving them. Detailed solutions are included.
A worksheet on the angle sum and difference trigonometric identities for tangent and cotangent. The exercises require to use the identities to find the value of given expressions and to prove other trigonometric identities. Detailed solutions are included.
A worksheet including exercises on calculating the mean of given sets and word problems on the mean. Detailed solutions are included. From https://placeformath.blogspot.com/p/worksheet-shop.html
A worksheet on Venn diagrams and set notation ( the symbols for belongs/ does not belong to, union and intersection, empty set, complement of a set, number of elements of a set). Detailed solutions are included.