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 about simplifying algebraic fractions by cancelling the common factors of numerator and denominator. It involves factorisation of trinomials using perfect squares and difference of two squares. It consists of 120 problems. Detailed solutions are provided. Good practise for GCSE/IGCSE students. From: https://placeformath.blogspot.com/p/worksheet-shop.html
A collection of 4 worksheets on set language and notation based on the GCSE 9-1 specification.
The following are included:
An introductory worksheet on sets. The exercises require to list the elements of a described set, to describe a set given its elements and to use the symbols for belongs to and does not belong to.
A worksheet on set notation: belongs to, does not belong to, union, intersection, empty set, complement of a set, number of elements of a set etc.
A worksheet on the union and intersection of two or more sets and the complement of a set.
A worksheet on Venn diagrams and set notation ( the symbols for belongs/ does not belong to, union and intersection, empty set, complement of a set, number of elements of a set).
Detailed solutions are included.
A collection of three worksheets on the following:
Simplifying ratios, solving introductory word problems with ratios and dividing an amount in a given ratio.
Solving linear equations (proportions) by cross multiplication.
Solving percentage word problems which are solved using a ratio table. 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.
An introductory worksheet on the notion of a power. The exercises require converting products to powers and vice versa, writing given numbers as powers in multiple ways and evaluating given powers. 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 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 5 worksheets on Calculus based on the GCSE 9-1 specification.
In these worksheets students are taught to understand the concept of a variable rate of change, differentiate integer powers of x, determine gradients, rates of change, stationary points, turning points (maxima and minima) by differentiation and relate these to graphs, distinguish between maxima and minima by considering the general shape of the graph and apply calculus to linear kinematics and to other simple practical problems).
Detailed solutions are included.
Five worksheets for Year 9 students on the following topics:
Fractions and mixed numbers
Adding and subtracting fractions and mixed numbers
Multiplying fractions
Multiplying mixed numbers
Dividing fractions and mixed numbers
Detailed solutions are included.
Eleven worksheets for Year7 students on the following topics:
Adding and subtracting positive and negative numbers
Adding and subtracting fractions
Adding and subtracting mixed numbers
Multiplying and dividing whole numbers by 10, 100 and 1000
Multiplying and dividing decimals by 10, 100 and 1000
Fraction of an amount (non-calculator)
Order of operations
Rounding
Sequences (finding specific terms)
Simplifying expressions by collecting like terms
Linear equations (introduction)
Detailed solutions are included.
A worksheet on adding and subtracting positive and negative numbers. Solutions are included. From https://placeformath.blogspot.com/p/worksheet-shop.html