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:
An introductory worksheet on the trigonometric ratios sine, cosine and tangent. The exercises require to evaluate these ratios for an angle in a given triangle, to identify the trigonometric ratio that corresponds to a given ratio for a given triangle, to use a calculator to evaluate the trigonometric ratio of a given angle or the angle given one of its trigonometric ratios and to associate the sine or cosine of an angle to the cosine or sine of its complementary angle.
Two worksheets on evaluating missing angles or sides in a given right-angled triangle.
Detailed solutions are included.
Three worksheets on determining whether two lines are parallel, intersect or coincide and examining if they are perpendicular. Detailed solutions are included.
Three worksheets on identifying arithmetic sequences, generating arithmetic sequences given their nth term and finding the nth term of an arithmetic sequence given their first terms. Detailed solutions are included. From https://mathamaniacs.com/
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.
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 four worksheets on factorising algebraic expressions for cases where there is a common factor or the method of grouping can be used. One worksheet on factorising linear algebraic expressions by taking out the highest common factor of the terms, one worksheet on factorising algebraic expressions by grouping and two worksheets with exercises of both types. Detailed solutions are included.
Three worksheets on solving absolute value equations containing introductory and harder exercises. Solutions are included. From https://mathamaniacs.com/
Three worksheets on set notation: belongs to, does not belong to, union, intersection, empty set, complement of a set, number of elements of a set etc. Detailed solutions are included. From https://placeformath.blogspot.com.cy/p/worksheet-shop.html
A collection of three worksheets. Two worksheets on expressing one quantity as a percentage of another (with calculator and non-calculator exercises) and one worksheet on calculating percentages of given amounts. Detailed solutions are included. From https://mathamaniacs.com/
Four worksheets on simplifying expressions with indices using the multiplication and division laws of indices, negative and fractional indices. Detailed solutions are included. From https://mathamaniacs.com/
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.
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 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.