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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).
Factorising quadratics and simplifying algebraic fractions (5 worksheets with solutions)
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Factorising quadratics and simplifying algebraic fractions (5 worksheets with solutions)

5 Resources
Five worksheets on factorising quadratics including the cases of factorising by taking a common factor, factorising perfect squares, factorising difference of two squares and factorising quadratics with the coefficient of the square being 1 or greater. In addition one worksheet includs exercises on simplifying algebraic fractions. Good for GCSE/IGCSE students. Detailed solutions are provided. From https://mathamaniacs.com/
Algebra and Number GCSE Style Questions Bundle
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Algebra and Number GCSE Style Questions Bundle

6 Resources
A collection of six worksheets with GCSE/IGCSE style questions on algebra and number topics such as simplifying algebraic expressions, factorisation, algebraic fractions, operations between fractions, hcf and lcm and surds, Detailed solutions are included.
GCSE 9-1 Algebraic  Manipulation Bundle
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GCSE 9-1 Algebraic Manipulation Bundle

6 Resources
A collection of 6 worksheets on algebraic manipulation based on the GCSE 9-1 specification. The following worksheet are included: Multiplying out two brackets Multiplying three brackets Factorising quadratics Simplifying algebraic fractions Operations with algebraic fractions Completing the square Detailed solutions are included.
Factoring quadratics worksheet (with solutions)
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Factoring quadratics worksheet (with solutions)

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A worksheet on factoring quadratics. Including quadratic expressions that can be factored by taking out the highest common factor of their terms, trinomials with leading coefficient one or greater and the special cases of perfect squares and difference of two squares. Good for GCSE/IGCSE students. Detailed solutions are provided.
Factorising polynomials Bundle 2
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Factorising polynomials Bundle 2

4 Resources
Four worksheets on factorising polynomials covering different cases: extracting a common factor, difference of two squares, perfect squares, quadratic factorisation. Detailed solutions are provided.
Factorising quadratics worksheets (with solutions)
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Factorising quadratics worksheets (with solutions)

3 Resources
Three worksheets on factorising quadratics including the cases of factorising by taking a common factor, factorising perfect squares, factorising difference of two squares and factorising quadratics with the coefficient of the square being 1 or greater. Detailed solutions are provided. From https://mathamaniacs.com/
Six worksheets on factorising quadratics  (with solutions)
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Six worksheets on factorising quadratics (with solutions)

6 Resources
Six worksheets on factorising quadratics including the cases of factorising by taking a common factor, factorising perfect squares, factorising difference of two squares and factorising quadratics with the coefficient of the square being 1 or greater. Detailed solutions are provided.
5 Worksheets on ratios (with solutions)
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5 Worksheets on ratios (with solutions)

5 Resources
Five worksheets on ratios including exercises on writing and simplifying ratios, expressing ratios as fractions and dividing and amount in a given ratio. Detailed solutions are provided.
Ratio and Proportion-Percentages Worksheets (with solutions)
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Ratio and Proportion-Percentages Worksheets (with solutions)

3 Resources
A collection of three worksheets on ratio and proportion and percentages. The exercises require to simplify fractions, calculate a percentage of an amount, the percentage increase and decrease of an amount, increase or decrease an amount by a given percentage using a table, solve given proportions (easy and harder), solve word problems involving ratios, solve word problems where an amount is divided in a given ratio, find the percentage of an amount and work with percentage increases, percentage decreases and reverse percentage. Detailed solutions are included.
Ratio worksheets (with solutions)
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Ratio worksheets (with solutions)

3 Resources
Three worksheets on converting ratios to fractions, writing and simplifying ratios, dividing amounts in a given ratio and solving problems with ratios. Detailed solutions are included. From https://placeformath.blogspot.com/p/worksheet-shop.html
Direct and inverse proportion worksheets (with solutions)
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Direct and inverse proportion worksheets (with solutions)

3 Resources
Three worksheets on direct and inverse proportion. The problems require to determine whether two variables are in direct proportion, inverse proportion or neither given a table of values, 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. Detailed solutions are included. From https://mathamaniacs.com/
Four worksheets on direct and inverse proportion (with solutions)
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Four worksheets on direct and inverse proportion (with solutions)

4 Resources
Four worksheets on direct and inverse proportion. The problems require to determine whether two variables are in direct proportion, inverse proportion or neither given a table of values, 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. Detailed solutions are included. From https://placeformath.blogspot.com/p/worksheet-shop.html
GCSE 9-1 Expressions and  Formulae Bundle
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GCSE 9-1 Expressions and Formulae Bundle

4 Resources
A collection of 4 worksheets on expressions and formulae based on the GCSE 9-1 specification. The following worksheets are included: Changing the subject of a formula Changing the subject of a formula (harder questions) Equations with variables on both sides Linear equations with brackets and the variable in both sides Detailed solutions are included.
GCSE 9-1 Sequences Bundle
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GCSE 9-1 Sequences Bundle

4 Resources
A collection of 4 worksheets on arithmetic sequences based on the GCSE 9-1 specification. In these worksheets students are taught to understand and use common difference (d) and first term (a) in an arithmetic sequence, know and use nth term =a+(n-1)d and find the sum of the first n terms of an arithmetic series. Detailed solutions are included.
Algebra Worksheet Collection (with detailed solutions)
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Algebra Worksheet Collection (with detailed solutions)

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A large collection of 24 worksheets (253 pages) on selected topics from algebra: Algebraic manipulation Substitution into formulae Simplifying expressions by collecting like terms Collecting like terms (expressions with different variables) Multiplying a single term over a bracket Expanding double brackets Factorisation Quadratic factorisation 9.Indices Rearranging formulae Inverse functions Composite functions Equation of a straight line Parallel and perpendicular lines Solving linear equations Solving quadratic equations by factorising Quadratic formula Completing the square and solving quadratic equations by com- pleting the square Simultaneous Equations -Elimination Simultaneous Equations -Substitution Simultaneous Equations One Linear, One Quadratic Linear inequalities Quadratic inequalities The nth term of linear and quadratic sequences Detailed solutions are included.
Parts of a Circle-Circumference and Area of a Circle-Relative Position of Two Circles Worksheets (with solutions)
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Parts of a Circle-Circumference and Area of a Circle-Relative Position of Two Circles Worksheets (with solutions)

3 Resources
Three worksheets on the following topics. Parts of a Circle: A worksheet on identifying the following parts of a circle: center, radius, diameter, chord, arc and central angle. The exercises require to identify these in given circles and test whether students know basic facts about them. Circumference and area of a circle: A worksheet on finding the circumference and area of a circle given its radius or diameter. Relative Position of Two Circles: A worksheet on determining whether two given circles intersect each other at two points, touch each other externally, touch each other internally, lie outside each other or the one lies inside the other, by considering the distance of their centers. Detailed solutions are included.