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 sequences, arithmetic sequences and series.
An introductory worksheet on sequences. The exercises require to find the first few terms or terms in specific positions of a sequence by using the nth term formula, find the position of a term in a sequence for which the nth term is known, find the nth term or the recursive formula of a sequence given its first few terms and graph a sequence given its nth term.
A worksheet on arithmetic sequences. The exercises require to find specific terms of an arithmetic sequence given a1 and d or its first few terms, find the first few terms of an arithmetic sequences or d or specific terms given 2 of its terms (by solving a system of simultaneous equations), show that 3 numbers are successive terms of an arithmetic sequence and solve other (more advanced) problems on this topic.
A worksheet on the sum of the terms of an arithmetic sequence or arithmetic series. The exercises require to find the sum of a number of terms of an arithmetic sequence given the first terms and the common difference, the first few terms of the sequence, to of the terms of the sequence (by solving a system of simultaneous equations), the first and the last term or the first term and the sum of two other terms.
Detailed solutions are included.
A worksheet on geometric sequences. The exercises require to find specific terms of a geometric sequence given a_1 and r or 2 of its terms (by solving a system of simultaneous equations), show that 3 numbers are successive terms of a geometric sequence and solve other (more advanced) problems on this topic. Detailed solutions are included.
A worksheet on identifying the following parts of a circle: center, radius, diameter, chord, arc and central angle. The exercises require to identify these in given circles and test whether students know basic facts about them. Detailed 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.
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 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). Detailed solutions are included. Good for A level students.
