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 double angle identities for sine, cosine, tangent and cotangent. The exercises require to evaluate the exact values of such trigonometric numbers and prove identities involving them. Detailed solutions are included.
A worksheet on finding the domain and range of a function. The exercises include polynomial functions, rational functions and functions with square roots. Detailed solutions are included.
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.
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 worksheet on multiplying 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.
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 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.
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, two 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.
A worksheet on adding, subtracting, multiplying, dividing and evaluating powers of positive and negative numbers (integers, fractions and decimals). The exercises include calculations with one of each of the four operations and calculations with more than one operations (where the order of operations must be used). Detailed solutions are included.
A worksheet on determining whether two lines are parallel or not. The equations of the two lines are given and using them students can derive their gradients and then conclude if they are parallel or not. Detailed solutions are included.
