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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).
Identifying Graphs of Functions-Domain and Range of a Function-Even and Odd Functions Bundle
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Identifying Graphs of Functions-Domain and Range of a Function-Even and Odd Functions Bundle

3 Resources
A collection of three worksheets on the following topics: Identifying Graphs of Functions: identifying whether a given graph represents a function Domain and Range of a Function: finding the domain and range of a function ( polynomial functions, rational functions and functions with square roots) Even and Odd Functions Bundle: determining whether a function is even, odd or neither given its equation or graph. Detailed solutions are included.
Laws of logarithms  Bundle
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Laws of logarithms Bundle

3 Resources
A collection of three worksheets on special cases of logarithms and the three basic laws of logarithms (adding logarithms with the same base, subtracting logarithms with the same base and simplifying the logarithm of a power). Detailed solutions are included. Good for A level students.
Algebraic identities (easy and harder questions) Bundle
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Algebraic identities (easy and harder questions) Bundle

3 Resources
A collection of three worksheets on expanding and simplifying expressions and proving identities using the identities for the square of a sum or a difference of two terms, the cube of a sum or a difference of two terms and the difference of two squares. It included some more demanding exercises that require to prove new identities or evaluate the value of given expressions using the identities. Solutions are included.
Differentiation: Basic rules, trigonometric functions and Chain Rule
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Differentiation: Basic rules, trigonometric functions and Chain Rule

3 Resources
Three worksheets on the following: differentiating using the basic rules: rule for constant functions, power rule, exponential functions rule, sum rule, product rule and quotient rule. differentiating functions involving sine, cosine, tangent, cotangent, secant and cosecant differentiating composite functions using the chain rule Detailed solutions are included. Good for A level students.
Negative Numbers Bundle
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Negative Numbers Bundle

5 Resources
A collection of five worksheets on negative numbers. There is a worksheet introducing negative numbers and four worksheets on addition, subtraction, multiplication and exponents of negative numbers. Detailed solutions are included.
Year 9 Algebra Worksheets (with solutions)
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Year 9 Algebra Worksheets (with solutions)

5 Resources
Five worksheets for Year 9 students on the following topics: Algebra Expanding brackets Expanding brackets and factorising Expanding the product of two brackets Factorising expressions containing powers Detailed solutions are included.
Sum and Product of Roots of Quadratic Equation worksheets (with solutions)
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Sum and Product of Roots of Quadratic Equation worksheets (with solutions)

3 Resources
Three worksheets on Viete’s formulas for the sum and the product of the roots of a quadratic equation. The exercises include finding the sum and the product of the roots of given equations, finding a quadratic equation given its roots and deciding whether two given values are the roots of a specific equation. Solutions are provided.
Equation of a  line  (various cases)  worksheets (with solutions)
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Equation of a line (various cases) worksheets (with solutions)

4 Resources
A collection of four worksheets on determining the equation of a line in the following cases: given its gradient and a point on it, given point and a line to which is parallel, given a point on it and a line to which is perpendicular and given two points on it. Detailed solutions are included.
Sets-Set notation-Venn diagrams
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Sets-Set notation-Venn diagrams

4 Resources
A collection of four worksheets, three on sets-set notation (belongs to, does not belong to, union, intersection, empty set, complement of a set, number of elements of a set etc) and one on on Venn diagrams . Detailed solutions are included.
Algebraic fractions, factor and remainder theorem worksheets (with solutions)
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Algebraic fractions, factor and remainder theorem worksheets (with solutions)

3 Resources
Three worksheets. One on simplifying algebraic fractions by factoring the numerator and denominator (when needed) and canceling the common factors, one on factorising cubic polynomials using the factor theorem and one on using the remainder theorem to find the remainder when a polynomial is divided by a linear polynomial. Solutions are included.
Functions-Inverse functions worksheets (with solutions)
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Functions-Inverse functions worksheets (with solutions)

3 Resources
A collection of three worksheets. One worksheet on evaluating a function at a given value and determining the domain of a function and two worksheets on finding the inverse of a function. Detailed solutions are included. Good for GCSE/IGCSE students.
Equation of straight line Worksheets (with solutions)
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Equation of straight line Worksheets (with solutions)

3 Resources
Three worksheets on the following: determining whether a point is on a given line, 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, finding the equation of a line given its gradient and one point on it or two points on it, finding the equation of a line parallel to another line passing through a given point and determining whether two lines are parallel perpendicular or neither. Detailed solutions are included.
Sets, Set Notation and  Venn Diagrams Bundle
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Sets, Set Notation and Venn Diagrams Bundle

3 Resources
Three worksheets on set notation and Venn diagrams ( the symbols for belongs/ does not belong to, union and intersection, empty set, complement of a set, number of elements of a set). Detailed solutions are included.
Indices Bundle (3 Worksheets)
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Indices Bundle (3 Worksheets)

3 Resources
Three worksheets on simplifying expressions with indices. A practice on laws of indices, negative and fractional indices. Good for GCSE/IGCSE students. One of the worksheets contains harder questions on this topic. Detailed solutions are included.
Rounding and bounds worksheets (with solutions)
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Rounding and bounds worksheets (with solutions)

3 Resources
Three worksheet on rounding numbers to one or two decimal places and one or two significant figures and on bounds. Detailed solutions are provided. Good for GCSE/IGCSE students. From https://mathamaniacs.com/
Percentage increases and decreases, reverse percentage and simple interest worksheets (with solutions)
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Percentage increases and decreases, reverse percentage and simple interest worksheets (with solutions)

3 Resources
Three worksheets on the following: calculating the percentage of an amount, finding the simple interest paid for a loan and the rate of interest given the interest paid and the amount loaned, increasing or decreasing an amount by a given percentage and working out the percentage increase or decrease given the original and final amount and calculating the original value given the value after a percentage increase or decrease. Detailed solutions are included.
Differentiation for GCSE/IGCSE worksheets (with solutions)
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Differentiation for GCSE/IGCSE worksheets (with solutions)

4 Resources
A collection of four worksheets on differentiation. The questions require the use of basic rules for functions that are powers of a variable or sums of powers of a variable and application of differentiation to problems on kinematics. Detailed solutions are included.