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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).
Divisibility Rules Worksheets (with solutions)
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Divisibility Rules Worksheets (with solutions)

3 Resources
A collection of three worksheets on the divisibility rules for numbers 2, 3, 4, 5, 9, 10 and 25. Introductory notes (rules and examples) are included. In the exercises, the students are required to decide whether a given number is divisible by 2, 3, 4, 5, 9, 10 and 25, find missing digits in given numbers so that they are divisible or not divisible by one or more of these numbers, answer word problems on this topic and state whether some given statements are true or false. Detailed solutions are included.
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.
Factoring By Grouping Worksheet (with solutions)
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Factoring By Grouping Worksheet (with solutions)

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A worksheet on factorising algebraic expressions using the method of grouping. The first exercise is on factoring algebraic expressions by taking the highest common factor of their terms and the remaining exercises are on factoring by grouping. Detailed solutions are included.
Using Division to Factor Polynomials Worksheet (with solutions)
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Using Division to Factor Polynomials Worksheet (with solutions)

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A worksheet on using polynomial long division to factor polynomials. In some of the exercises, 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. Detailed solutions are included.
Powers and Order of Operations Notes and Worksheets (with solutions)
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Powers and Order of Operations Notes and Worksheets (with solutions)

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You get introductory notes and two worksheets on powers and order of operations (PEMDAS). The notion of a power is introduced and the relevant terminology is explained (base, exponent) through examples. The first worksheet is on powers and the exercises require to examine whether some given expressions can be written as powers, recognize the base and the exponent of powers, evaluate and compare powers and find missing numbers in given calculations. Then the order of operations is explained and illustrated through an example. The second worksheet is on order of operations and the exercises require to perform calculations using the correct order. Detailed solutions are provided.
Ratios, Proportions and Percents
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Ratios, Proportions and Percents

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A Ratios, Proportions, and Percents Unit Bundle that includes introductory notes and three worksheet on ratios and proportions, properties of proportions and ratios. The following topics are covered: Ratios Proportions Scale Ratios Ratio Word Problems Properties of Proportions Solving Equations by Cross Multiplication Dividing Amounts in Given Ratio Proportion Word Problems Percentages Percentage of an Amount Percentage Word Problems Percentage Change Reverse Percentage Detailed solutions are included.
12 GCSE/IGCSE Math Worksheets (with detailed solutions)
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12 GCSE/IGCSE Math Worksheets (with detailed solutions)

12 Resources
12 GCSE/IGCSE Math Worksheets on the following topics: Calculator use Changing the subject of a formula Factorising polynomials Factors, Multiples and Primes Gradient and y-intercept of a line Gradient of a line given the coordinates of two points HCF, LCM and product of primes Indices Parallel lines Recurring decimals Rounding numbers Significant figures Detailed solutions are provided. From https://mathamaniacs.com/
Divisibility Rules Worksheet no 2 (with solutions)
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Divisibility Rules Worksheet no 2 (with solutions)

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You will download introductory notes (rules and examples) and a long worksheet on the divisibility rules for numbers 2, 3, 4, 5, 9, 10 and 25. There are 2 pages with the divisibility rules and examples and a 6 page worksheet. In the exercises, the students are required to decide whether a given number is divisible by 2, 3, 4, 5, 9, 10 and 25, find missing digits in given numbers so that they are divisible or not divisible by one or more of these numbers, answer word problems on this topic and state whether some given statements are true or false. Detailed solutions are included.
Divisibility Rules Worksheet no 3 (with solutions)
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Divisibility Rules Worksheet no 3 (with solutions)

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You will download introductory notes (rules and examples) and a long worksheet on the divisibility rules for numbers 2, 3, 4, 5, 9, 10 and 25. There are 2 pages with the divisibility rules and examples and a 6 page worksheet. In the exercises, the students are required to decide whether a given number is divisible by 2, 3, 4, 5, 9, 10 and 25, find missing digits in given numbers so that they are divisible or not divisible by one or more of these numbers, answer word problems on this topic and state whether some given statements are true or false. Detailed solutions are included.
Operations with fractions and mixed numbers worksheets (with detailed solutions)
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Operations with fractions and mixed numbers worksheets (with detailed solutions)

9 Resources
A collection of 9 worksheets on the following topics: Adding fractions, Subtracting fractions, Multiplying fractions, Dividing fractions, Adding, subtracting, multiplying and dividing fractions and whole numbers, Adding mixed numbers, Subtracting mixed numbers, Multiplying mixed numbers, Dividing mixed numbers. Detailed solutions are included. Good revision for GCSE/IGCSE students.
Rounding Bundle (with answers)
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Rounding Bundle (with answers)

3 Resources
Three worksheets on rounding numbers to the nearest tenth, hundredth, thousandth, ten, hundred and thousand, whole number and one decimal place. Solutions are included.