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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).
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.
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.
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.
Angle Relationships (Complementary, Supplementary and Vertical) Harder Worksheet
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Angle Relationships (Complementary, Supplementary and Vertical) Harder Worksheet

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A worksheet on complementary angles, supplementary angles, and vertical angles. The exercises require to identify complementary, supplementary and vertical angles and write and solve equations to find missing complementary, supplementary and vertical angles, as well as angles on a line and angles in a circle. It includes harder exercises on this topic. Detailed solutions are included.
HCF, LCM and product of primes worksheet (with solutions)
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HCF, LCM and product of primes worksheet (with solutions)

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A worksheet on highest common factor, lowest common multiple and product of primes. The exercises require to express given pairs of numbers as products of their prime factors and then using these products find their highest common factor and their lowest common multiple. Detailed solutions are included.
Simplifying algebraic fractions (120 questions) worksheet (with detailed solutions)
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Simplifying algebraic fractions (120 questions) worksheet (with detailed solutions)

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A worksheet about simplifying algebraic fractions by cancelling the common factors of numerator and denominator. It involves factorisation of trinomials using perfect squares and difference of two squares. It consists of 120 problems. Detailed solutions are provided. Good practise for GCSE/IGCSE students. From: https://placeformath.blogspot.com/p/worksheet-shop.html
Percentage Word Problems Worksheet (with solutions)
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Percentage Word Problems Worksheet (with solutions)

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A worksheet on percentage word problems. The exercises require to find the percentage of an amount, express a quantity as a percentage of another quantity and work with percentage increases, percentage decreases and reverse percentage. Detailed solutions are included.
Sum of the Terms of a Geometric Sequence-Geometric Series Worksheet  (with solutions)
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Sum of the Terms of a Geometric Sequence-Geometric Series Worksheet (with solutions)

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A worksheet on the sum of the terms of a geometric sequence or geometric series. The exercises require to find the sum of a number of terms of a geometric sequence given the first terms and the common ratio, the first few terms of the sequence, the sum of two pairs of terms of the sequence (by solving a system of simultaneous equations), the first and the last term of the sequence. In addition some exercises require to find the sum to infinity of a given geometric sequence given its first term and its common ratio or its first terms Detailed solutions are included.