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 worksheet on percentage word problems. The exercises require to find the percentage of an amount, express a quantity as a percentage of another quantity and work with percentage increases, percentage decreases and reverse percentage. Detailed solutions are included.
A worksheet on solving simultaneous equations where the one is linear and the other is quadratic. Detailed solutions are included. From https://mathamaniacs.com/
A worksheet on the sum of the terms of a geometric sequence or geometric series. The exercises require to find the sum of a number of terms of a geometric sequence given the first terms and the common ratio, the first few terms of the sequence, the sum of two pairs of terms of the sequence (by solving a system of simultaneous equations), the first and the last term of the sequence. In addition some exercises require to find the sum to infinity of a given geometric sequence given its first term and its common ratio or its first terms Detailed solutions are included.
A collection of three worksheets on differentiating using the basic rules for functions that are constant, powers of a variable or sums of powers of a variable, products of a constant and another function, products or quotients of two functions. The two worksheets are on functions that are powers of a variable or sums of powers of a variable and the third is on all the above rules. Detailed solutions are provided.
A 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. Good for introduction to this subject. Solutions are included.
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, two 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.
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 derivatives of sine, cosine, tangent, cotangent, secant and cosecant and the chain rule. Detailed solutions are included. From https://mathamaniacs.com/
A worksheet on calculating the percentage of an amount, finding the simple interest paid for a loan and the rate of interest given the interest paid and the amount loaned. Detailed solutions are included. From https://mathamaniacs.com/
A collection of three worksheets. Two worksheets on identifying complementary, supplementary and vertically opposite angles and using their properties to find the value of a variable. One worksheet on evaluating the third angle in a triangle given the other two using the fact that their sum is 180 degrees. Detailed solutions are included.
A worksheet on arithmetic sequences. The exercises require to find specific terms of an arithmetic sequence given a_1 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. Detailed solutions are included.
A worksheet on identifying complementary, supplementary and vertically opposite angles and using their properties to find the value of a variable. Detailed solutions are included.
A worksheet on evaluating powers of positive and negative fractions. The exponents in these powers are positive integers or zero. Solutions are included.
Six worksheets for Year 8 students on the following topics:
Factors, multiples, HCF and LCM.
Prime factors of an integer using division.
Highest common factor using prime factorisation.
Lowest common multiple using prime factorisation.
Percentages.
The nth term of a sequence.
Detailed solutions are included.
A large collection of 24 worksheets (254 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
Designed for the GCSE/IGCSE specification. Detailed solutions are included.