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 bundle of 12 worksheets (with detailed solutions) on Coordinate topics appropriate for GCSE students. Each worksheet contains questions for students of various abilities.
The topics covered by these worksheets include:
Midpoint of a line segment
The distance between two points on a line
Straight lines
Gradient and y-intercept of a straight line
Gradient of a straight line passing through two points
Equation of a line given its gradient and a point
Parallel and perpendicular lines
Equation of a line through a point and parallel to a given line
Equation of a line through a point and perpendicular to a given line
Graphs of linear equations
Special Cases of Linear Functions
Solving simultaneous equations graphically
A worksheet on finding the distance between two points. It consists of both elementary and harder questions. Solutions are included. Good for A Level students.
A worksheet on expanding algebraic expressions by multiplying each term inside the bracket by the term outside and simplifying when possible. Detailed solutions are included. Good for A level students.
A worksheet on simplifying expressions and functions by using the rules of indices for all rational exponents (including negative numbers and fractions). Detailed solutions are included. Good for A level students.
A worksheet on integrating sums of negative powers and roots and fractions after simplifying the integrant. Detailed solutions are included. Good for A level students.
Three worksheets on calculating the distance of the line segment joining two points and the coordinates of their midpoint. One on the midpoint, one on the distance and one on both. Solutions are included.
Three worksheets on evaluating the distance between two points and the midpoint of a line segment. One worksheet on each topic and one worksheet on both topics. Detailed solutions are included.
Three worksheets on integrating powers of x. , sums of powers (positive and negative) of x and sums of negative powers and roots and fractions after simplifying the integrant. Detailed solutions are included. Good for A level students.
A worksheet on simplifying algebraic fractions by factoring the numerator and denominator (when needed) and canceling the common factors. 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.
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.
A worksheet on determining whether a number belongs in the sets of natural numbers, integers, rational numbers and real numbers. It consists of a table to be completed. Solutions are included.