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Mathamaniacs

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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).

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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).
Parabolas-Quadratics Bundle
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Parabolas-Quadratics Bundle

4 Resources
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.
Sign of Trinomial-Quadratic Inequalities Bundle
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Sign of Trinomial-Quadratic Inequalities Bundle

3 Resources
A collection of three worksheets on determining the sign of trinomials given the trinomials or their graphs and solving quadratic inequalities using sign tables. Detailed solutions are included.
Sum and Product of Roots  of Quadratics - Viete's Theorem Worksheet (with solutions)
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Sum and Product of Roots of Quadratics - Viete's Theorem Worksheet (with solutions)

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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.
Graph of the Parabola y=ax^2 Bundle
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Graph of the Parabola y=ax^2 Bundle

3 Resources
Three worksheets 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.
GCSE Maths-Number and Algebra Revision Pack
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GCSE Maths-Number and Algebra Revision Pack

18 Resources
A bundle of 20 worksheets (with detailed solutions) on Number and Algebra topics appropriate for GCSE students. Each worksheet contains questions for students of various abilities. The topics covered by these worksheets include: Operations with positive and negative numbers Recurring decimals Surds Sequences Percentage of a quantity Reverse percentage Compound interest Simple interest Percentage change Percentage Increase Decrease Simplifying expressions by collecting like terms Expanding single brackets Expanding double brackets Factorising simple expressions Factorising quadratic expressions Solving linear equations Solving quadratic equations Operations with algebraic fractions Linear inequalities Quadratic inequalities The pack is ideal for use in revision sessions or for individual study. The solutions provided are very clear and explanatory.
The Basic Proportionality Theorem (Thales’ Theorem) Worksheet (with solutions)
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The Basic Proportionality Theorem (Thales’ Theorem) Worksheet (with solutions)

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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.