A collection of three worksheets on determining the sign of trinomials given the trinomials or their graphs and solving quadratic inequalities using sign tables. Detailed solutions are included.

A collection of four worksheets on logarithms. The following worksheets are included: Basic properties of logarithms Addition and power laws of logarithms Laws of logarithms Changing the base of logarithms Solutions are provided.

A collection of 5 worksheets on factorising quadratic expressions in which the coefficient of the leading term is one. Each of them focuses on one of the following cases: Quadratic expressions with a=1 and b, c > 0 Quadratic expressions with a=1, b negative and c positive Quadratic expressions with a=1 and c less than 0 Quadratic expressions with a=1 and b, c less than zero Quadratic expressions with a=1, b less than 0 and c greater than 0 Solutions are provided.

A collection of three worksheets on each of the following topics: Angles in a triangle Angles in parallel lines Complementary, supplementary and opposite angles Solutions are included.

Four test for Year 9 maths, on the following topics: percentages, equations and formulae, fractions and mixed numbers and algebra. The exercises include working out percentages of a given amount, calculating simple interest, increasing and reducing an amount by a given percentage, working out the percentage change, reverse percentage problems, multiplying out brackets, simplifying expressions by collecting like terms, factorising expressions, solving equations with brackets, rearranging formulae to change the subject, adding, subtracting, multiplying and dividing fractions, multiplying and dividing fractions and mixed numbers, expanding brackets, factorising expressions containing powers and expanding the product of two brackets. Detailed solutions are included.

Three worksheets on adding and subtracting algebraic fractions with introductory exercises on this topic. Detailed solutions are included.

Three worksheets on parabolas. One on transforming parabolas: The exercises include finding the equation of the parabola that occurs after translating the parabolas y=x^2 and y=-x^2 vertically and horizontally and writing the equations of parabolas which are translations of the parabolas y=x^2 and y=-x^given their graphs. One on the parabola y=ax^2: The exercises include identifying whether a given parabola of this form has a maximum or a minimum and matching given graphs of such parabolas to their equations. And one on the discriminant of a quadratic equation:The exercises include evaluating the discriminant of given equations, determining the number of real solutions of given quadratic equations and deciding whether the discriminant of a quadratic equation is positive, negative or zero by the corresponding graph. Solutions are provided.

Three worksheets on fractional indices of the form a/b where a is 1 or greater. Detailed solutions are included.

Three worksheets on direct and inverse proportion. The problems require to determine whether two variables are in direct proportion, inverse proportion or neither given a table of values, calculate 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. From https://mathamaniacs.com/

Three worksheets on evaluating functions at a given value. The exercises include linear, quadratic, cubic and exponential functions. Detailed solutions are provided.

Three worksheets on solving linear equations with the variable on both sides. Detailed solutions are included.

Three worksheets on finding the slope of a line given two points on the line. Detailed solutions are included. From https://mathamaniacs.com/

Five worksheets on ratios including exercises on writing and simplifying ratios, expressing ratios as fractions and dividing and amount in a given ratio. Detailed solutions are provided.

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.

A collection of three worksheets on the following topics: Sine Rule Cosine Rule Area of a Triangle Using The Sine Formula Detailed solutions are included.

Four worksheets on expanding algebraic expressions of the form (a+b)(a-b), (a+b)^2, (a-b)^2, (a+b)^3 and (a-b)^3 using the corresponding identities. One worksheet on the identity for (a+b)(a-b), one worksheet on the identities for (a+b)^2 and (a-b)^2, one worksheet on the identities for (a+b)^3 and (a-b)^3 and one worksheet on all these identities. Solutions are included.

Four worksheets on expanding algebraic expressions of the form (a+b)(a-b), (a+b)^2, (a-b)^2, (a+b)^3 and (a-b)^3 using the corresponding identities. One worksheet on the identity for (a+b)(a-b), one worksheet on the identities for (a+b)^2 and (a-b)^2, one worksheet on the identities for (a+b)^3 and (a-b)^3 and one worksheet on all these identities. Solutions are included.

Five worksheets on performing the four operations between fractions or mixed numbers. Questions are similar to GCSE exercises. Detailed solutions are included.

Two worksheets on the Chain rule and one on implicit differentiation. Solutions are provided.

A collection of three worksheets on the following topics: angle sum and difference trigonometric identities for sine and cosine angle sum and difference trigonometric identities for tangent and cotangent double angle identities for sine, cosine, tangent and cotangent The exercises require to use the identities to find the value of given expressions and to prove other trigonometric identities. Detailed solutions are included.