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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).
Triangle Angle Sum Theorem Worksheet (with solutions)
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Triangle Angle Sum Theorem Worksheet (with solutions)

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A worksheet on the triangle angle sum theorem. The exercises require to find missing angles by using the triangle angle sum theorem and the properties of special types of triangles (isosceles and equilateral). Detailed solutions are included.
Algebra Worksheet Collection (with detailed solutions)
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Algebra Worksheet Collection (with detailed solutions)

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A large collection of 24 worksheets (253 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 Detailed solutions are included.
Powers worksheet (with solutions)
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Powers worksheet (with solutions)

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An introductory worksheet on powers. The exercises require converting a product of factors to a power, calculating the value of a given power, identifying the base and the exponent of a given power and ordering powers. 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.
Recurring decimals to fractions worksheets (with detailed solutions)
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Recurring decimals to fractions worksheets (with detailed solutions)

3 Resources
Three worksheets on Changing Recurring Decimals into Fractions. The first is on recurring decimals with repeating digits, the second is on recurring decimals with repeating and nonrepeating digits and the third covers both cases. Detailed solutions are provided. Good 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.
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.
Factorizing Trinomials with a=1 Lesson
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Factorizing Trinomials with a=1 Lesson

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A lesson on factorizing trinomials with leading coefficient 1. The students are first asked to multiply out pairs of brackets containing linear polynomials. Then they are asked to make some observations. They are expected to observe that in the trinomial obtained after multiplying out the brackets the coefficient of x is the sum of the numbers in the brackets and the constant term is their product. Then they are asked to generalize that for any pair of linear polynomials. Once this result has been established, they are given some trinomials with leading coefficient equal to one and are asked to factorize them. In this exercises they must work in the converse way, they must try to find pairs of numbers whose product and sum equal the coefficients of the given polynomial. Finally, there is an exercise on signs, including the four possible combinations of signs for the product and sum of the trinomial. Detailed solutions are provided.