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 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.
A collection of eight worksheets on integers based on the GCSE 9-1 specification. The following topics are included:
Place value-Ordering numbers: ordering sequences of five numbers with up to 6 digits
Operations with directed numbers: performing the four operations with directed numbers
Ordering and comparing integers: putting integers in ascending order and comparing integers using the symbols < and >
Order of operations in calculations with positive and negative numbers: evaluating expressions involving the four operations between positive positive and negative numbers (addition, subtraction, multiplication, division and exponents)
Identifying Prime Numbers: finding the factors of given numbers, identifying the numbers that are prime and making general conclusions about prime numbers
Prime factors of an integer using division: expressing integers as a product of their prime factors using repeated division
Factors and multiples: identifying the factors and the multiples of given numbers
Highest common factor, lowest common multiple and product of primes: evaluating the highest common factor and the lowest common multiple of numbers after expressing them as a product of primes
Detailed solutions are included.
A test on fractions and mixed numbers. The exercises include adding, subtracting, multiplying and dividing fractions and multiplying and dividing fractions and mixed numbers. Detailed solutions are included.
Four test for Year 9 maths, on the following topics: percentages, equations and formulae, fractions and mixed numbers and algebra. The exercises 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, reverse percentage problems, multiplying out brackets, simplifying expressions by collecting like terms, factorising expressions, solving equations with brackets, rearranging formulae to change the subject, adding, subtracting, multiplying and dividing fractions, multiplying and dividing fractions and mixed numbers, expanding brackets, factorising expressions containing powers and expanding the product of two brackets. Detailed solutions are included.
Three tests on fractions and mixed numbers. A test on fractions including the following topics: equivalent fractions, comparing fractions, adding and subtracting fractions, mixed numbers and improper fractions and adding and subtracting mixed numbers. A test on adding, subtracting, multiplying and dividing fractions and multiplying and dividing fractions and mixed numbers. And a test on adding and subtracting fractions and mixed numbers. Detailed solutions are included.
