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 the trigonometric identities tanx=sinx/cosx, cotx=cosx/sinx and sin^2x+cos^2x=1. The exercises require to use these identities to evaluate expressions and trigonometric ratios and prove other identities. Detailed solutions are included.
A worksheet on The Basic Proportionality Theorem also known as Thales’ Theorem which states that if three or more parallel lines intersect two transversals, then they cut off the transversals proportionally. The exercises require to apply the theorem to find missing lengths or prove other statements.
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.
A long worksheet on performing the four operations between whole numbers, fractions and mixed numbers consisting of 16 exercises. Detailed solutions are included.
A worksheet on nth roots. The exercises include evaluating nth roots, simplifying expressions and solving equations involving nth roots. Solutions are provided.
A worksheet on deciding whether a given pair of triangles are congruent using the three rules:
The three sides are equal (SSS)
Two angles are the same and a corresponding side is the same (ASA)
Two sides are equal and the angle between the two sides is equal (SAS)
Detailed solutions are included.
A worksheet on factorising simple algebraic expressions and quadratic expressions involving trinomials with leading coefficient one or greater. Solutions are included. Good for GCSE/IGCSE students.
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 formulae and equations. Exercises involve substitution into formulae, changing the subject of a formula, simplifying expressions by collecting like terms, expanding brackets and simplifying, simplifying expressions with indices and solving linear equations. Good revision for GCSE/IGCSE students.
A worksheet with harder questions on laws of indices, powers and roots, zero, negative and fractional indices. Detailed solutions are included. Appropriate for GCSE/IGCSE students.
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.
An introductory worksheet on factorising linear algebraic expressions by taking out the highest common factor of the terms. Detailed solutions are included.
