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 large collection of 24 worksheets (253 pages) on selected topics from algebra:
Algebraic manipulation
Substitution into formulae
Simplifying expressions by collecting like terms
Collecting like terms (expressions with different variables)
Multiplying a single term over a bracket
Expanding double brackets
Factorisation
Quadratic factorisation
9.Indices
Rearranging formulae
Inverse functions
Composite functions
Equation of a straight line
Parallel and perpendicular lines
Solving linear equations
Solving quadratic equations by factorising
Quadratic formula
Completing the square and solving quadratic equations by com-
pleting the square
Simultaneous Equations -Elimination
Simultaneous Equations -Substitution
Simultaneous Equations One Linear, One Quadratic
Linear inequalities
Quadratic inequalities
The nth term of linear and quadratic sequences
Detailed solutions are included.
A collection of three worksheets on the following topics:
Dividing polynomials using long division
Using division to factor polynomials
Factorising a polynomial using the factor theorem
In the first worksheet, students are required to perform long division for some given pairs of polynomials.
In the second worksheet, 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.
In the third worksheet, students are required to check whether a given polynomial is a factor of another polynomial by using the factor theorem and then in some other exercises they are required to factor cubic polynomials by first finding one of its linear factors (by checking given polynomials or inspecting using the factor theorem) and then using long division to find the remaining linear factors.
Detailed solutions are included.
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.
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.
Four worksheets 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. Solutions are included.
A worksheet on multiplying a bracket by a term which can be a single number or variable (positive or negative) or a combination of a number with a variable or multiplying out two brackets and simplifying the answers. Solutions are included.
A worksheet on multiplying by 10, 100, 1000 and 10000. The exercises performing direct calculations and finding missing numbers in given calculations. Solutions are included.
A worksheet on multiplying by 10, 100, 1000 and 10000. The exercises performing direct calculations and finding missing numbers in given calculations. Solutions are included.
