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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).
GCSE 9-1 Angles, Lines and Triangles Bundle
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GCSE 9-1 Angles, Lines and Triangles Bundle

6 Resources
A collection of 6 worksheets on angles, lines and triangles based on the GCSE 9-1 specification. The following worksheets are included: Types of angles Complementary, supplementary and opposite angles Angles in parallel lines Sum of angles in a triangle Exterior Angles of a Triangle Isosceles, Equilateral and Right-Angled Triangles Detailed solutions are included.
Circle theorems Worksheet (with solutions)
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Circle theorems Worksheet (with solutions)

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A worksheet on the following circle theorems: Angle at the centre theorem Angles in the same segment theorem Angles in a semicircle theorem Cyclic quadrilateral theorem Central angle and corresponding arc theorem Arcs between parallel chords theorem Detailed solutions are included.
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.
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.
Algebraic identities Bundle No 4
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Algebraic identities Bundle No 4

3 Resources
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.
Polynomial Long Division and Factorisation Worksheet No 2 (with solutions)
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Polynomial Long Division and Factorisation Worksheet No 2 (with solutions)

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A worksheet on polynomial long division and factorisation. The exercises require to find a polynomial given its factors, to examine whether a polynomial is a factor of another polynomial, to find a factor of a polynomial given its other factor, to find the hcf of algebraic expressions and find the missing terms in expressions that have been factorised. Detailed solutions are included.
Similar Polygons Worksheet (with solutions)
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Similar Polygons Worksheet (with solutions)

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A worksheet on similar polygons. The exercises require to decide if given pairs of polygons are similar, to find the perimeter or the area or the lengths of the sides of a polygon given some information about a similar polygon. Detailed solutions are included.