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).
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.
A collection of three worksheets on the following: determining the gradient of a straight line after rearranging its equation to the slope-intercept form, deciding whether two given lines are parallel, perpendicular or neither and determining whether two lines are parallel, intersect (perpendicularly or not) or coincide using their equation and their gradient… Solutions are provided.
A worksheet on the graph of the parabola y=ax^2. The exercises require to match a set of graphs (of parabolas) to their equations and find the equation of a parabola given its graph and a point on it. Solutions are included.
A worksheet on determining whether two lines are parallel, intersect (perpendicularly or not) or coincide using their equation and their gradient. Detailed solutions are included.
Three 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. Solutions are included.
A collection of three worksheets. Two worksheets on changing the base of a given logarithm and evaluating or simplifying expressions by changing the base of a logarithm and one worksheet on using the three basic laws of logarithms (adding logarithms with the same base, subtracting logarithms with the same base and simplifying the logarithm of a power). Solutions are included.
A collection of three worksheets. Two worksheets on expanding perfect squares and evaluating expressions involving differences of two squares and one worksheet on these identities plus the identity for perfect cubes. Solutions are included.
A worksheet on 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:
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.
