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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).
Introduction to Trigonometry Worksheets
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Introduction to Trigonometry Worksheets

3 Resources
A collection of three worksheets: An introductory worksheet on the trigonometric ratios sine, cosine and tangent. The exercises require to evaluate these ratios for an angle in a given triangle, to identify the trigonometric ratio that corresponds to a given ratio for a given triangle, to use a calculator to evaluate the trigonometric ratio of a given angle or the angle given one of its trigonometric ratios and to associate the sine or cosine of an angle to the cosine or sine of its complementary angle. Two worksheets on evaluating missing angles or sides in a given right-angled triangle. Detailed solutions are included.
Recurring Decimals Lesson and Worksheets (with solutions)
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Recurring Decimals Lesson and Worksheets (with solutions)

2 Resources
A presentation on converting recurring decimals to fractions and 3 worksheets with detailed solutions. The first worksheets is on recurring decimals with repeating digits only, the second worksheet is on recurring decimals with repeating and non-repeating digits and the third worksheet includes both cases of recurring decimals. detailed solutions are included.
Order of Operations-BIDMAS Worksheet (with solutions)
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Order of Operations-BIDMAS Worksheet (with solutions)

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A worksheet on the order of operations. The exercises aim to practice the correct order of operations: Brackets, Indices, Division, Multiplication, Addition, Subtraction (BIDMAS) and include two or more operations. Detailed solutions are included.
Triangle Theorems Worksheet (with solutions)
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Triangle Theorems Worksheet (with solutions)

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A worksheet on the following triangle and parallel lines theorems: The line segment joining the mid - points of any two sides of a triangle is parallel to the third side and equal to half of it. The median to the hypotenuse of a right triangle is equal to half of the hypotenuse In a right triangle the side opposite the 30 degree angle is half the length of the hypotenuse. If three or more parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal. Detailed solutions are included.
Order of Operations With Integers-BIDMAS Worksheet (with solutions)
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Order of Operations With Integers-BIDMAS Worksheet (with solutions)

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A worksheet on the order of operations in calculations with integers (positive and negative). The exercises aim to practice the correct order of operations: Brackets, Indices, Division, Multiplication, Addition, Subtraction (BIDMAS) and include two or more operations. Detailed solutions are provided.
Limit of a Polynomial or Rational Function Worksheet (with solutions)
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Limit of a Polynomial or Rational Function Worksheet (with solutions)

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A worksheet on evaluating the limit of a polynomial or rational function. The exercises aim to teach students that in order to find the limit of such functions you substitute the value of the limit and in the cases where the denominator is zero you simplify the function if possible and then substitute. Detailed solutions are provided.
Order of Operations With Integers-BIDMAS Worksheets (with solutions)
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Order of Operations With Integers-BIDMAS Worksheets (with solutions)

3 Resources
A collection of three worksheets on the order of operations in calculations with integers (positive and negative). One of the worksheets is on positive integers only and the other two on both positive and negative integers. The exercises aim to practice the correct order of operations: Brackets, Indices, Division, Multiplication, Addition, Subtraction (BIDMAS) and include two or more operations. Detailed solutions are provided.
Order of Operations -Missing Terms Worksheet (with solutions)
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Order of Operations -Missing Terms Worksheet (with solutions)

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An introductory worksheet on the order of operations. The exercises aim to practice the correct order of operations: Brackets, Indices, Division, Multiplication, Addition, Subtraction (BIDMAS) and include two or more operations. Expressions with two or more operations are given and some terms are missing. Detailed solutions are included.
Order of Operations -Missing Terms Worksheets (with solutions)
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Order of Operations -Missing Terms Worksheets (with solutions)

3 Resources
Three worksheet on the order of operations. The exercises aim to practice the correct order of operations: Brackets, Indices, Division, Multiplication, Addition, Subtraction (BIDMAS) and include two or more operations. Expressions with two or more operations are given and some terms are missing. One of the worksheets has elementary exercises and the other two have harder exercises. Detailed solutions are included.
Prime and Composite Numbers-Prime Factorisation Worksheet (with solutions)
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Prime and Composite Numbers-Prime Factorisation Worksheet (with solutions)

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A worksheet on prime numbers and prime factorisation. The exercises require to decide whether some given numbers are prime or not and reach some conclusions about prime numbers, find the factors of a number given its prime factorisation, find the common factors of two numbers given their prime factorisations and find the prime factorisation of a number using repeated division. Detailed solutions are included.
Highest Common Factor and Lowest Common Multiple  Worksheet (with solutions)
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Highest Common Factor and Lowest Common Multiple Worksheet (with solutions)

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A worksheet on HCF and LCM. The exercises require to find the prime factorisation of a set of 2 or 3 numbers using repeated division and use it to evaluate their HCF and their LCF, decide whether a given pair of numbers are relatively prime (coprime), simplify fractions as much as possible by dividing their numerator and denominator by their HCF and add or subtract pairs of fractions after changing their denominator and using the LCM of the original denominators. Detailed solutions are included.