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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).
Changing the base of a logarithm-Laws of logarithms Bundle
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Changing the base of a logarithm-Laws of logarithms Bundle

3 Resources
A collection of three worksheets. Two worksheets on changing the base of a given logarithm and evaluating or simplifying expressions by changing the base of a logarithm and one worksheet on using 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). Solutions are included.
Basic properties of logarithms worksheet (with solutions)
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Basic properties of logarithms worksheet (with solutions)

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A worksheet on the following basic properties of logarithms: log_a 1=0 log_a a=1 log_a a^x=x a^{log_a x}=x The exercises require the use of these properties to evaluate expressions without the use of a calculator. Detailed solutions are included.
Algebraic identities worksheet no 4 (with solutions)
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Algebraic identities worksheet no 4 (with solutions)

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A worksheet on expanding and simplifying expressions 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 starts with easy exercises requiring application of the identities and continues with more demanding exercises that require to prove new identities or evaluate the value of given expressions using the identities. Solutions are included.
Parallel, Perpendicular and Intersecting Lines Worksheet (with solutions)
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Parallel, Perpendicular and Intersecting Lines Worksheet (with solutions)

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A worksheet on parallel, perpendicular and intersecting lines. The exercises included require to determine whether two lines are parallel, intersect or coincide and examine if they are perpendicular, find the equation that passes through a given point and is parallel, perpendicular or intersects a given line, find the relative position of lines given their graphs and find the equations of lines given their graphs and the equation of another line parallel to them. Detailed solutions are included.