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 collection of three worksheets on operations with mixed numbers. The first is on addition and subtraction. The second is on multiplication and division. The third is on all four operations.
Detailed solutions are included.
Three worksheets on solving equations involving square roots that lead to a linear or a quadratic equation after squaring. Detailed solutions are included.
Three worksheets on identifying the gradient and y-intercept of a line given its equation, finding the gradient of a line that passes through two points, finding the equation given the gradient and y-intercept or given the gradient and one point or given two points. Detailed solutions are included. Good for GCSE/ IGCSE students.
Three worksheets on expanding algebraic expressions of the form (a+b)(a-b), (a+b)^2, (a-b)^2, (a+b)^3 and (a-b)^3 using the corresponding identities. Solutions are included.
Three worksheets on inverse proportion. The problems require to calculate the constant of proportionality using the given information and then use the resulting equation to calculate the value of the one of the two variables given the value of the other, to decide whether two quantities are inversely proportional or not given two pairs of their values and determine the values of two inversely proportional quantities. Detailed solutions are included.
Five worksheets on the addition, subtraction, multiplication and division properties of inequalities, solving linear inequalities and determining the integers that satisfy a double inequality. Solutions are included.
A collection of 3 worksheets on expressions and formulae based on the GCSE 9-1 specification.
The following worksheets are included:
Solving simultaneous equations using elimination
Solving simultaneous equations using substitution
Graphical Solution of Simultaneous Equations
Detailed solutions are included.
A collection of three worksheets on the following topics:
Unit Circle-Trigonometric Ratios: on using the unit circle to find the sign and the value of the trigonometric ratios of given angles
Expressing Trigonometric ratios in Terms of Trigonometric Ratios of Acute Angles
Trigonometric identities: on the trigonometric identities tanx=sinx/cosx, cotx=cosx/sinx and sin^2x+cos^2x=1
Detailed solutions are provided.
A collection of three worksheets on the following topics:
Circle theorems
Alternate Segment Theorem
Relative Position of Two Circles
Detailed solutions are included.
A collection of four worksheets on the following topics
Graph of the Parabola y=ax^2 : 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.
Graph of a Parabola-Transformations: A worksheet on transforming horizontally or vertically a parabola.
Quadratic Function of the Form f(x) = ax² + bx + c: 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.
Sum and Product of Roots of Quadratics - Viete’s Theorem: 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.