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 collection of three worksheets on performing the four operations between a fraction and a mixed number. Detailed solutions are included. From https://mathamaniacs.com/
Three worksheets on determining whether two lines are parallel, intersect or coincide and examining if they are perpendicular. Detailed solutions are included.
Three worksheets on multiplying and dividing whole numbers and decimals by 10, 100, 1000 and 10000. The exercises require to perform calculations or find missing numbers in given calculations. Solutions are included.
A collection of three worksheets introducing students to algebra.
The first is on algebraic manipulation, including: ab in place of a times b, 3y in place of y + y + y and 3 times y, a squared in place of a times a, a cubed in place of a times a times a, a squared b in place of a times a times b, a/b
in place of a divided by b , coefficients written as fractions rather than as decimals and brackets. The second is on basic algebra: using algebra notation, collecting like terms, expanding brackets and using index notation. The third is on expanding single and double brackets and factorising algebraic expressions.
Detailed solutions are included.
A collection of three worksheets:
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.
Two worksheets on evaluating missing angles or sides in a given right-angled triangle.
Detailed solutions are included.
3 Worksheets on the following: determining the next terms of a given sequence and the term-to-term rule, writing terms of a sequence given the nth term formula and finding the nth term formula given the first few terms of a sequence.
A collection of three worksheets on the following topics:
Identifying prime numbers. The exercises require to find the factors of given numbers, identify the numbers that are prime and make general conclusions about prime numbers.
Prime numbers and prime factorisation. The exercises require to decide whether dome given numbers are prime or not and reach some conclusions, find the factors of a number given its prime factoristaion and find the common factors of two numbers given their prime factorisations.
Finding the prime factorisation of numbers using repeated division by their prime factors and using the prime factorisation of two numbers to obtain their highest common factor.
Detailed solutions are included.
Three worksheets on power 1, power 0, negative powers and fractional powers and simplifying expressions with indices using the multiplication and division laws of indices. Detailed solutions are provided.
Three worksheets 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 collection of four worksheets on the following topics
Graph of the Parabola y=ax^2 : 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.
Graph of a Parabola-Transformations: A worksheet on transforming horizontally or vertically a parabola.
Quadratic Function of the Form f(x) = ax² + bx + c: A worksheet on quadratic functions of the form f(x) = ax² + bx + c and equations of the form ax² + bx + c=0. The exercises require to use the graph of such functions to determine the sign of the discriminant and the solution or solutions if they exist, find the sign of a, the value of c the range of f, the line of symmetry of the graph and the maximum value of f. In addition, functions or equations of this form with parameters in them are given and the students are required to determine the values of the parameters so that the value has specific solutions, a given line of symmetry, a given number of roots or a given point of intersection with the y-axis.
Sum and Product of Roots of Quadratics - Viete’s Theorem: A worksheet on sum and product of roots of quadratics. The exercises require to find the sum or product of the roots of a given quadratic equation, evaluate parameters in a given quadratic equation so that its roots have a specific sum or product, find a quadratic equation given its roots, factorise quadratic expressions and simplify algebraic fractions involving quadratic expressions.
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.
Four worksheets on simplifying expressions with indices using the multiplication and division laws of indices, negative and fractional indices. Detailed solutions are included. From https://mathamaniacs.com/
Five worksheets on the addition, subtraction, multiplication and division properties of inequalities, solving linear inequalities and determining the integers that satisfy a double inequality. Solutions are included.
