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 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 multiplying and dividing positive and negative integers. Answers are included. From https://placeformath.blogspot.com/p/worksheet-shop.html
Three worksheets including exercises on calculating the mean of given sets and word problems on calculating the mean of given sets and word problems on the mean. Detailed solutions are included.
A collection of four worksheets on adding, subtracting, multiplying and dividing fractions. The first is on addition, the second is on subtraction, the third is on multiplication and the fourth is on division.
Detailed solutions are included.
A collection of three worksheets on the following topics:
Circle theorems
Alternate Segment Theorem
Relative Position of Two Circles
Detailed solutions are included.
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.
Three worksheets on inverse proportion. The problems require to calculate the constant of proportionality using the given information and then use the resulting equation to calculate the value of the one of the two variables given the value of the other, to decide whether two quantities are inversely proportional or not given two pairs of their values and determine the values of two inversely proportional quantities. Detailed solutions are included.
A collection of three worksheets on the following topics:
Domain and Range of a Function:The exercises include polynomial functions, rational functions and functions with square roots.
Injective Functions: The exercises require to decide whether a function is injective or not given its equation or its graph.
Inverse Functions: The exercises require to decide whether a given function is invertible, find the inverse function and the domain of the inverse function.
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.
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.
A collection of four worksheets on integers. A worksheet on putting integers in ascending order and comparing integers using the symbols < and >, a worksheet on adding and subtracting positive and negative numbers, a worksheet on multiplying and dividing positive and negative integers and a worksheet on all four operations with integers. Solutions are included.
A collection of three worksheets. The first is on dividing fractions by fractions. The second is on dividing fractions by mixed numbers and vice versa and mixed numbers by mixed numbers. The third is on dividing fractions by whole numbers and vice versa.
Detailed solutions are included.
A collection of three worksheets on multiplying and dividing fractions by fractions, fractions by mixed numbers, fractions by whole numbers, mixed numbers by mixed numbers and mixed numbers by whole numbers. One worksheet on multiplication, one on division and one on both operations. Detailed solutions are included.
Three worksheets on increasing or decreasing an amount by a percentage. No calculator is required to answer these questions. Detailed solutions are provided.
