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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).
Using Division and the Factor Theorem to Factor Polynomials  Worksheets (with solutions)
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Using Division and the Factor Theorem to Factor Polynomials Worksheets (with solutions)

3 Resources
A collection of three worksheets on the following topics: Dividing polynomials using long division Using division to factor polynomials Factorising a polynomial using the factor theorem In the first worksheet, students are required to perform long division for some given pairs of polynomials. In the second worksheet, students must use polynomial division to find the remaining linear factors of a polynomial, given one of its factors. In other exercises, students must find a polynomial using multiplication given all its factors, find the highest common factor of given algebraic expressions and find missing terms in factorized expressions. In the third worksheet, students are required to check whether a given polynomial is a factor of another polynomial by using the factor theorem and then in some other exercises they are required to factor cubic polynomials by first finding one of its linear factors (by checking given polynomials or inspecting using the factor theorem) and then using long division to find the remaining linear factors. Detailed solutions are included.
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
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/
Direct proportion worksheet (with solutions)
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Direct proportion worksheet (with solutions)

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A worksheet on direct proportion. The problems require to 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.
Direct proportion worksheet no 2 (with solutions)
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Direct proportion worksheet no 2 (with solutions)

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A worksheet on direct proportion. The problems require to decide whether two quantities are directly proportional or not given two pairs of their values and determine the values of two directly proportional quantities . Detailed solutions are included.
Sets of numbers worksheets  (with solutions)
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Sets of numbers worksheets (with solutions)

3 Resources
Three worksheets on determining whether a number belongs in the sets of natural numbers, integers, rational numbers and real numbers. They consist of a table to be completed. Solutions are included.
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.
Percentages worksheet no 2 (with solutions)
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Percentages worksheet no 2 (with solutions)

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A worksheet on calculating a percentage of an amount, the percentage increase and decrease of an amount and increasing or decreasing an amount by a given percentage using a table. Detailed solutions are included.