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).
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).
A collection of three worksheets on adding, subtracting, multiplying and dividing mixed numbers. The first is on addition and subtraction, the second is on multiplication and division and the third is on all four operations.
Detailed solutions are included.
Three worksheets on the following topics
Introduction to Logarithms: The exercises require converting expressions from exponential to logarithmic form, evaluating given logarithms and solving equations involving logarithms or exponential equations.
Properties of Logarithms: The exercises require using the basic properties of logarithms, product rule,
division rule, power rule/exponential rule and change of base rule.
Logarithmic Function: he exercises require to sketch graphs of such functions, find their domain and the functions which are symmetric to them about the line y=x.
Detailed solutions are included.
A collection of four worksheets on multiplying out brackets.
The first is on multiplying brackets by a single number or a single variable (positive or negative).
The second is on multiplying out two brackets and simplifying the answer by collecting like terms.
The third is on multiplying brackets by a term which can be a single number or variable (positive or negative) or a combination of a number with a variable.
The fourth is on multiplying out two brackets and simplifying the answer by collecting like terms and contains harder exercises.
Detailed solutions are included.
Three worksheets on trigonometric ratios sine, cosine and tangent. The exercises require to evaluate these numbers for an angle in a given triangle, to identify the trigonometric number that corresponds to a given ratio for a given triangle, to use a calculator to evaluate the trigonometric number of a given angle or the angle given one of its trigonometric numbers and to associate the sine or cosine of an angle to the cosine or sine of its complementary angle. In addition the exercises in the third worksheet require to use the unit circle to find the sign and the value of the trigonometric ratios of given angles.Detailed solutions are included.
Five worksheets for Year 9 students on the following topics:
Fractions and mixed numbers
Adding and subtracting fractions and mixed numbers
Multiplying fractions
Multiplying mixed numbers
Dividing fractions and mixed numbers
Detailed solutions are included.
A collection of three worksheets on the following topics:
Polynomial long division and factorisation. The exercises require to find a polynomial given its factors, to examine whether a polynomial is a factor of another polynomial, to find a factor of a polynomial given its other factor, to find the hcf of algebraic expressions and find the missing terms in expressions that have been factorised.
Factorising algebraic expressions for cases where there is a common factor or the method of grouping can be used.
Factorising algebraic expressions involving differences of two squares or differences and sums of two cubes.
Detailed solutions are included.
A collection of three worksheets on the following topics:
Factorising algebraic expressions involving trinomials (quadratics) and perfect squares.
Solving equations of second or higher degree using factorisation and the quadratic formula.
Simplifying algebraic fractions.
Detailed solutions are included.
A collection of three worksheets on converting binary numbers to decimal numbers and vice versa. Detailed solutions are included. Good for A level students.
A collection of three worksheets on converting metric units. A worksheet on converting metric units of length between mm, cm ,m and km. A worksheet on converting from one metric unit of area (square mm, cm, m and km) to another. And a worksheet on converting from one metric unit of area or volume to another. Solutions are included.
Three worksheets on solving quadratic equations by: using the quadratic formula, factorising and completing the square. Detailed solutions are included.
Three worksheets on the following: determining the gradient and y-intercept of a line from its equation, finding the gradient of a line given two points on it and determining whether two lines are parallel or not from their equation.
4 worksheets on converting recurring decimals (with repeating digits only and with repeating and non repeating digits as well) to fractions. Detailed solutions are included.
