Mathamaniacs - Teaching Resources

Mathematics

Factorising algebraic expressions worksheet (with solutions)

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A worksheet on factorising algebraic expressions. The exercises require factorising simple binomials, differences of two squares, perfect squares and trinomials with their leading coefficient equal to one. Good for GCSE/IGCSE students. Solutions are included.

Introduction to powers worksheet (with solutions)

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Introduction to powers worksheet (with solutions)

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An introductory worksheet on the notion of a power. The exercises require converting products to powers and vice versa, writing given numbers as powers in multiple ways and evaluating given powers. Solutions are included.

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$Adding, subtracting, multiplying and dividing fractions Bundle$

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Adding, subtracting, multiplying and dividing fractions Bundle

$7.21Save 47%

4 Resources

A collection of four worksheets on adding, subtracting, multiplying and dividing fractions. The first is on addition, the second is on subtraction, the third is on multiplication and the fourth is on division. Detailed solutions are included.

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$Algebraic fractions, factor and remainder theorem worksheets (with solutions)$

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Algebraic fractions, factor and remainder theorem worksheets (with solutions)

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3 Resources

Three worksheets. One on simplifying algebraic fractions by factoring the numerator and denominator (when needed) and canceling the common factors, one on factorising cubic polynomials using the factor theorem and one on using the remainder theorem to find the remainder when a polynomial is divided by a linear polynomial. Solutions are included.

Fractions and mixed numbers test (with solutions)

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Fractions and mixed numbers test (with solutions)

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A test on fractions and mixed numbers. The exercises include adding, subtracting, multiplying and dividing fractions and multiplying and dividing fractions and mixed numbers. Detailed solutions are included.

HCF and LCM using prime factorisation worksheet no 3 (with solutions)

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HCF and LCM using prime factorisation worksheet no 3 (with solutions)

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A worksheet on finding the HCF and the LCM of two numbers written as a product of their prime factors, using prime factorization. Detailed solutions are provided.

Converting between binary and decimal numbers worksheet no 3 (with solutions)

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Converting between binary and decimal numbers worksheet no 3 (with solutions)

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A worksheet on converting binary numbers to decimal and vice versa. Detailed solutions are included.

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Square root equations worksheets (with solutions)

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Square root equations worksheets (with solutions)

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3 Resources

Three worksheets on solving equations involving square roots that lead to a linear or a quadratic equation after squaring. Detailed solutions are included.

Direct proportion worksheet no 2 (with solutions)

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Direct proportion worksheet no 2 (with solutions)

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A worksheet on direct proportion. The problems require to decide whether two quantities are directly proportional or not given two pairs of their values and determine the values of two directly proportional quantities . Detailed solutions are included.

The rules of indices worksheet (with solutions)

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The rules of indices worksheet (with solutions)

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A worksheet on simplifying expressions and functions by using the rules of indices. Detailed solutions are included. Good for A level students.

Proof By Contradiction Worksheet (with solutions)

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Proof By Contradiction Worksheet (with solutions)

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A worksheet on proving statements using proof by contradiction. Detailed solutions are included.

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Methods Of Proof Bundle

$10.01Save 26%

3 Resources

A collection of three worksheets on the following methods of proof: Direct Proof Proof By Contradiction Proof By Induction Detailed solutions are included.

Special Cases of Linear Functions Worksheet (with solutions)

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Special Cases of Linear Functions Worksheet (with solutions)

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A worksheet on linear equations of the form x=a, y=b and y=ax. The exercises require the students to find the equations of some lines given their graphs, the points of intersection of these lines and generalize their findings. Solutions are included.

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GCSE 9-1 Ratio and Proportion Bundle

$12.81Save 34%

5 Resources

A collection of 5 worksheets on ratio and proportion based on the GCSE 9-1 specification. The following worksheet are included: Introduction to ratios: converting ratios to fractions, writing and simplifying ratios Simplifying ratios Ratios: simplifying ratios and dividing an amount in a given ratio Dividing amounts in a given ratio Direct proportion: calculating the constant of proportionality using the given information and then use the resulting equation to calculate the value of the one of the two variables given the value of the other Detailed solutions are included.

Inverse Functions (harder) Worksheet (with solutions)

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Inverse Functions (harder) Worksheet (with solutions)

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A worksheet on inverse functions with harder exercises on this topic. Detailed solutions are included.

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.

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Factorisation of Polynomials Bundle

$5.70Save 45%

3 Resources

A collection of three worksheets on factorising polynomials including the following cases: Common Factor and Grouping Difference of two squares - Difference and sum of two cubes Trinomial-Perfect squares Detailed solutions are included.

Types of Triangles Worksheet (with solutions)

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Types of Triangles Worksheet (with solutions)

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A worksheet on determining the type of a given triangle with respect to its interior angles (acute-angled, obtuse-angled, right-angled) and with respect to its sides (scalene, isosceles, equilateral). Detailed solutions are included.

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Ratios- Cross Multiplication- Percentages Using A Ratio Table Worksheets (with solutions)

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Ratios- Cross Multiplication- Percentages Using A Ratio Table Worksheets (with solutions)

$9.15Save 21%

3 Resources

A collection of three worksheets on the following: Simplifying ratios, solving introductory word problems with ratios and dividing an amount in a given ratio. Solving linear equations (proportions) by cross multiplication. Solving percentage word problems which are solved using a ratio table. 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.

$Operations with Negative Numbers (integers, fractions and decimals) Worksheet (with solutions)$

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Operations with Negative Numbers (integers, fractions and decimals) Worksheet (with solutions)

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A worksheet on adding, subtracting, multiplying, dividing and evaluating powers of positive and negative numbers (integers, fractions and decimals). The exercises include calculations with one of each of the four operations and calculations with more than one operations (where the order of operations must be used). Detailed solutions are included.