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).
Three tests on fractions, decimals and percentages.
The exercises in the first include converting fractions to percentages, converting decimals to percentages, converting percentages to fractions, working out percentages of given quantities, word problems on percentages and percentage increase and decrease.
The exercises in the second include writing amounts as percentages, working out percentages of a given amount, increasing and reducing an amount by a given percentage and working out the percentage increase or decrease in a word problem. The exercises in the third include working out percentages of a given amount, calculating simple interest, increasing and reducing an amount by a given percentage, working out the percentage change and reverse percentage problems.
Detailed solutions are included.
Three tests on percentages. The exercises include writing amounts as percentages, calculating simple interest, working out percentages of a given amount, increasing and reducing an amount by a given percentage, working out the percentage increase or decrease in a word problem and reverse percentage problems. Detailed solutions are included.
A test on elementary probability. The exercises require the use of theoretical probability, that is probability written as a ratio of the number of favorable outcomes to the number of possible outcomes. Detailed solutions are included.
A worksheet on calculating a fraction of a given amount and performing the four operations between fractions or mixed numbers. Detailed solutions are provided.
A worksheet on the following topics: solving linear equations, setting up equations, solving quadratic equations by using factorisation or by competing the square or by using the quadratic formula, solving simple and more complex simultaneous equations. Detailed solutions are provided. Good for GCSE/IGCSE students. The file is 18 pages long.
Three worksheets on recurring decimals. The exercises require converting recurring decimals to fractions, comparing numbers and examining whether a given fraction can be converted to a decimal number with finitely many decimals. Detailed solutions are provided.
A worksheet on graphing exponential functions by transforming the standard exponential functions e^x and e^-x. Detailed solutions are included. Good for A level students.
A worksheet on straight lines. The exercises include identifying the gradient of a line passing from two given points, identifying the gradient and the y-intercept of a line given its equation, working out the equation of a line given two points on the line and working out the midpoint of line segments given their end points. Detailed solutions are included.
A test on algebra. The exercises include expanding brackets, factorising expressions containing powers and expanding the product of two brackets. Detailed solutions are included using algebraic notation, simplifying expressions by collecting like terms and expanding brackets.
Three introductory worksheets on negative rational numbers. The exercises require to order a given set of numbers, compare pairs of given numbers, find missing numbers in a given sequence.
Solutions are included.
A collection of five worksheets on negative numbers. There is a worksheet introducing negative numbers and four worksheets on addition, subtraction, multiplication and exponents of negative numbers. Detailed solutions are included.
