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).
An introductory worksheet on the notion of a power. The exercises require converting products to powers and vice versa, writing given numbers as powers in multiple ways and evaluating given powers. 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 angles formed when a line intersects a pair of parallel lines (alternate, corresponding, co-interior and vertically opposite angles). Detailed solutions are included.
A worksheet on expanding and simplifying expressions using the identities for the square of a sum or a difference of two terms. Solutions are included.
Three worksheets on algebraic identities. A worksheet on expanding and simplifying expressions using the identities for the square of a sum or a difference of two terms. A worksheet on expanding and simplifying expressions using the identity (a+b)(a-b). And a worksheet on expanding and simplifying expressions using the identities for the cube of a sum or a difference of two terms. Solutions are included.
An introductory worksheet on the trigonometric ratios sine, cosine and tangent. The exercises require to evaluate these ratios for an angle in a given triangle, to identify the trigonometric ratio that corresponds to a given ratio for a given triangle, to use a calculator to evaluate the trigonometric ratio of a given angle or the angle given one of its trigonometric ratios and to associate the sine or cosine of an angle to the cosine or sine of its complementary angle. Detailed solutions are included.
A worksheet on factorising expressions be extracting a common factor, by grouping, by using the quadratic formula or algebraic identities. The exercises also require to simplify algebraic fractions, composite algebraic fractions or expressions involving multiplication or division between algebraic fractions and solve quadratic equations or equations with algebraic fractions. Detailed solutions are included.
A collection of 5 worksheets on sets: set notation, Venn diagrams, union and intersection, empty set, complement of a set and number of elements of a set. Detailed solutions are included.
A collection of three worksheets on the following:
writing linear equations in slope-intercept form by rearranging them
matching graphs of linear functions to their equations
drawing graphs of linear equations.
Solutions are included.
A collection of 4 worksheets on set language and notation based on the GCSE 9-1 specification.
The following are included:
An introductory worksheet on sets. The exercises require to list the elements of a described set, to describe a set given its elements and to use the symbols for belongs to and does not belong to.
A worksheet on set notation: belongs to, does not belong to, union, intersection, empty set, complement of a set, number of elements of a set etc.
A worksheet on the union and intersection of two or more sets and the complement of a set.
A worksheet on Venn diagrams and set notation ( the symbols for belongs/ does not belong to, union and intersection, empty set, complement of a set, number of elements of a set).
Detailed solutions are included.
A worksheet on using the trigonometric identities that convert a product of a sine and a cosine or a product of two sines or a product of to cosines to a sum of sines or cosines. The exercises include using these identities to evaluate expressions and proving other identities. Detailed solutions are included.
A worksheet on The Basic Proportionality Theorem also known as Thales’ Theorem which states that if three or more parallel lines intersect two transversals, then they cut off the transversals proportionally. The exercises require to apply the theorem to find missing lengths or prove other statements.
Detailed solutions are included.
