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 ratio and proportion. The exercises require to write ratios to compare quantities, to simplify ratios, to form proportions by completing missing terms or by using given ratios, solve word problems involving ratios, solve given proportions (easy and harder), divide certain amounts in a given ratio and solve word problems where an amount is divided in a given ratio. Detailed solutions are included.
A collection of three worksheets. Two worksheets on classifying angles as right, straight, acute, obtuse or reflex and a worksheet on determining the type of a given triangle with respect to its interior angles (acute-angled, obtuse-angled, right-angled) and with respect to its sides (scalene, isosceles, equilateral).
Detailed solutions are included.
A collection of three worksheets on the following:
Prime numbers and prime factorisation. The exercises require to decide whether some given numbers are prime or not and reach some conclusions about prime numbers, find the factors of a number given its prime factorisation, find the common factors of two numbers given their prime factorisations and find the prime factorisation of a number using repeated division.
Prime factorisation. The exercises require to find the prime factorisation of a number using repeated division.
Highest common factor and lowest common multiple. The exercises require to find the prime factorisation of some numbers and then use it to find their HCF and their LCM.
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.
Four worksheets on solving linear equations. The exercises involve simple linear equations, linear equations with brackets and linear equations with fractions. Detailed solutions are included.
A collection of three worksheets on functions.
The first worksheet aims to introduce the concept of functions. The exercises require to state whether a given mapping diagram represents a function or not, to determine the domain and range of functions given the corresponding mapping diagrams, to evaluate functions at specific values and to use functions to model real life problems.
The second worksheet aims to teach students various ways of representing a function: mapping diagrams, sets of ordered pairs, graphs and equations. The exercises require to find the sets of ordered pairs associated with functions given in the form of mapping diagrams, examine whether some given sets, graphs or equations represent functions and find the domain and range of some functions given their graphs.
The third worksheet is on finding the domain or the range of a given function (including the cases of polynomial functions, rational functions and functions with square roots).
Detailed solutions are included.
A collection of three worksheets on the following topics:
Sum of angles in a triangle: a worksheet on evaluating the third angle in a triangle given the other two using the fact that their sum is 180 degrees
Exterior Angles of a Triangle: a worksheet on the exterior angles of a triangle. The exercises require to use the fact that an exterior angle of a triangle is equal to the sum of the two interior opposite angles.
Interior and exterior angles in regular polygons: a worksheet on calculate the interior and exterior angle sum of regular polygons and the measure of each interior and each exterior angle of regular polygons.
Detailed solutions are provided.
A collection of three worksheets, one worksheet on finding the domain of a given function and two on finding the domain of a function. Solutions are included.
A collection of three worksheets on converting from one metric unit of volume (cubic mm, cm, m and km) to another and converting between cubic mm, cm, m and ml, cl, l. Solutions are included.
Three worksheets on the following basic properties of logarithms:
log_a 1=0
log_a a=1
log_a a^x=x
a^{log_a x}=x
product rule
division rule
power rule/exponential rule
change of base rule
Detailed solutions are included.
Three worksheets with harder questions on laws of indices, powers and roots, zero, negative and fractional indices. Detailed solutions are included. Appropriate for GCSE/IGCSE students. From: https://placeformath.blogspot.com/p/worksheet-shop.html
A presentation on converting recurring decimals to fractions and 3 worksheets with detailed solutions. The first worksheets is on recurring decimals with repeating digits only, the second worksheet is on recurring decimals with repeating and non-repeating digits and the third worksheet includes both cases of recurring decimals. detailed solutions are included.
A collection of four worksheets on solving elementary equations. The exercises include linear equations, equations with brackets, equations with fractions and equations with squares. Detailed solutions are included.
A collection of four worksheets on solving quadratic equations using factorisation, the quadratic formula and the method of completing the square. Detailed solutions are provided.
A collection of three worksheets on the following:
factorising simple algebraic expressions by taking a common factor
dividing polynomials using long division
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. )
Detailed solutions are included.
Three worksheets on derivatives of sine, cosine, tangent, cotangent, secant and cosecant and the chain rule. Detailed solutions are included. Good for A’ Level students.