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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).
Expanding brackets and factoring worksheet (with solutions)
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Expanding brackets and factoring worksheet (with solutions)

(0)
A worksheet on expanding brackets and factoring algebraic expressions. The first exercise requires to multiply brackets by a term which can be a number, a variable or a combination of both and then simplify the resulting expression by collecting like terms. The second exercise requires to factor some expressions by taking out the highest common factor of their terms. Detailed solutions are provided.
Solving equations with algebraic fractions worksheet (with solutions)
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Solving equations with algebraic fractions worksheet (with solutions)

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A worksheet on solving equations with algebraic fractions. It consists of 10 questions. In each of these, an equation with algebraic fractions is given and after removing the denominators it leads to either a linear or a quadratic equation whose solution or solutions are either rational numbers or expressions with surds. Detailed solutions are provided.
Coordinate Geometry Worksheets
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Coordinate Geometry Worksheets

12 Resources
A bundle of 12 worksheets (with detailed solutions) on Coordinate topics appropriate for GCSE students. Each worksheet contains questions for students of various abilities. The topics covered by these worksheets include: Midpoint of a line segment The distance between two points on a line Straight lines Gradient and y-intercept of a straight line Gradient of a straight line passing through two points Equation of a line given its gradient and a point Parallel and perpendicular lines Equation of a line through a point and parallel to a given line Equation of a line through a point and perpendicular to a given line Graphs of linear equations Special Cases of Linear Functions Solving simultaneous equations graphically
Gradient of a line, relative position of two lines Bundle
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Gradient of a line, relative position of two lines Bundle

3 Resources
A collection of three worksheets on the following: determining the gradient of a straight line after rearranging its equation to the slope-intercept form, deciding whether two given lines are parallel, perpendicular or neither and determining whether two lines are parallel, intersect (perpendicularly or not) or coincide using their equation and their gradient. Solutions are provided.
Algebra for GCSE/IGCSE worksheets (with solutions)
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Algebra for GCSE/IGCSE worksheets (with solutions)

18 Resources
A large collection of 24 worksheets (254 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 Designed for the GCSE/IGCSE specification. Detailed solutions are included.
9 Worksheets on algebraic fractions (with solutions)
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9 Worksheets on algebraic fractions (with solutions)

9 Resources
A collection of 9 worksheets on algebraic fractions, including exercises on adding, subtracting, multiplying and dividing algebraic fractions, simplifying expressions with algebraic fractions and solving equations with algebraic fractions. Detailed solutions are provided.
5 worksheets on Algebraic fractions (with solutions)
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5 worksheets on Algebraic fractions (with solutions)

5 Resources
Five worksheets on: adding, subtracting, multiplying and dividing algebraic fractions. simplifying algebraic fractions and solving equations with algebraic fractions. Detailed solutions are provided.
6 Worksheets on Algebraic Fractions (with solutions)
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6 Worksheets on Algebraic Fractions (with solutions)

6 Resources
6 Worksheets on algebraic fractions. The exercises require to simplify algebraic fractions, add, subtract, multiply and divide algebraic fractions and solve equations with algebraic fractions. Detailed solutions are provided.