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 evaluating powers of positive and negative fractions. The exponents in these powers are positive integers or zero. 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.
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.
A worksheet on finding the highest common factor and the lowest common multiple of given pairs of numbers and solving word problems using the highest common factor and the lowest common multiple. Detailed solutions are included.
A collection of three worksheets on inequalities. The first is on linear inequalities. The second is on quadratic inequalities. The third is on solving simultaneously two linear inequalities in one variable using the real number line.
Detailed solutions are included.
A worksheet on simplifying expressions and functions by using the rules of indices related to multiplication and division of powers with the same base. Detailed solutions are included. Good for A level students.
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 short introductory worksheet on congruent triangles. The exercises require to identify the corresponding equal angles or sides of some given congruent triangles. 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 collection of three worksheets on HCF and LCM. The exercises require to find the prime factorisation of a set of 2 or 3 numbers using repeated division and use it to evaluate their HCF and their LCF, decide whether a given pair of numbers are relatively prime (coprime), simplify fractions as much as possible by dividing their numerator and denominator by their HCF , add or subtract pairs of fractions after changing their denominator and using the LCM of the original denominators and solving word problems using the highest common factor and the lowest common multiple. Detailed solutions are included.
