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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).
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.
Representing a Function  Worksheet (with solutions)
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Representing a Function Worksheet (with solutions)

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A worksheet that aims to teach students various ways of representing a function: mapping diagrams, sets of ordered pairs, graphs and equations. The exercises require to find the sets of ordered pairs associated with functions given in the form of mapping diagrams, examine whether some given sets, graphs or equations represent functions and find the domain and range of some functions given their graphs. Detailed solutions are provided.
Simple interest worksheet (with solutions)
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Simple interest worksheet (with solutions)

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A worksheet on calculating the percentage of an amount, finding the simple interest paid for a loan and the rate of interest given the interest paid and the amount loaned. Detailed solutions are included. From https://mathamaniacs.com/
Trigonometric Identities Worksheet (with solutions)
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Trigonometric Identities Worksheet (with solutions)

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A worksheet on the trigonometric identities tanx=sinx/cosx, cotx=cosx/sinx and sin^2x+cos^2x=1. The exercises require to use these identities to evaluate expressions and trigonometric ratios and prove other identities. Detailed solutions are included.
nth Roots Worksheet (with solutions)
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nth Roots Worksheet (with solutions)

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A worksheet on nth roots. The exercises include evaluating nth roots, simplifying expressions and solving equations involving nth roots. Solutions are provided.
The Basic Proportionality Theorem (Thales’ Theorem) Worksheet (with solutions)
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The Basic Proportionality Theorem (Thales’ Theorem) Worksheet (with solutions)

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A worksheet on The Basic Proportionality Theorem also known as Thales’ Theorem which states that if three or more parallel lines intersect two transversals, then they cut off the transversals proportionally. The exercises require to apply the theorem to find missing lengths or prove other statements. Detailed solutions are included.