A worksheet on factorising quadratic expressions. Detailed solutions are included. Good for A level students.

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 evaluating expressions involving the four operations between positive positive and negative numbers (addition, subtraction, multiplication, division and exponents). Detailed solutions are included.

A worksheet on adding and subtracting algebraic fractions with introductory exercises on this topic. Detailed solutions are included.

A worksheet on adding and subtracting algebraic fractions with harder exercises on this topic. Detailed solutions are included.

A review worksheet on surds. Good for revision. Detailed solutions are included.

A worksheet on calculating a percentage of an amount, the percentage increase and decrease of an amount and increasing or decreasing an amount by a given percentage using a table. Detailed solutions are included.

An introductory worksheet on logarithms. Detailed solutions are included. Good for A level students.

A worksheet on functions. The exercises include evaluating a function at a given point, identifying the values that should be excluded from the domain of given functions, finding the inverse of a given function and the composition of two given functions. Detailed solutions are included. Good for GCSE/IGCSE students.

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 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 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.

A worksheet on rationalising the denominator of a fraction when it is a surd, with harder exercises. Detailed solutions are included. Good for A level students.

A worksheet on sets, set notation (belongs to does not belong to, empty set, subset), operation with sets (union, intersection, complements) and Venn diagrams. Detailed solutions are included.

A worksheet on differentiating functions involving sine, cosine, tangent, cotangent, secant and cosecant. The exercises require the use of the basic rules: rule for constant functions, power rule, exponential functions rule, sum rule, product rule and quotient rule. Detailed solutions are included. Good for A’ Level students.

A worksheet on identifying prime numbers. The exercises require to find the factors of given numbers, identify the numbers that are prime and make general conclusions about prime numbers. Solutions are included.

A worksheet on prime numbers and prime factorisation. The exercises require to decide whether dome given numbers are prime or not and reach some conclusions, find the factors of a number given its prime factoristaion and find the common factors of two numbers given their prime factorisations. Detailed solutions are included. From https://mathamaniacs.com/

A worksheet on simplifying algebraic expressions. The exercises include expanding brackets and collecting like terms, multiplying monomials and simplifying algebraic fractions. Solutions are included.

A worksheet on the graph of the parabola y=ax^2. The exercises require to match a set of graphs (of parabolas) to their equations and find the equation of a parabola given its graph and a point on it. Solutions are included.

A worksheet on the graph of the parabola y=ax^2. The exercises require to match a set of graphs (of parabolas) to their equations and find the equation of a parabola given its graph and a point on it. Solutions are included.