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 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.
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.
A test on percentages. 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 and reverse percentage problems. Detailed solutions are included.
A test on simplifying numbers. The exercises include multiplying and dividing whole numbers and decimals by powers of 10, rounding numbers( to the nearest thousand, million etc or to a given number of significant figures), writing ordinary numbers in standard form and vice versa. Detailed solutions are included.
A test on algebra. The exercises include using algebraic notation, simplifying expressions by collecting like terms and expanding brackets. Detailed solutions are included.
Three tests on algebra. The exercises include using algebraic notation, simplifying expressions by collecting like terms and expanding brackets. Detailed solutions are included.
A test on fractions, decimals and percentages. The exercises 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. Detailed solutions are included. Can be used as a worksheet.
A test on algebra including the following topics: algebraic expressions and substitution, simplifying algebraic expressions, using and writing formulae. Detailed solutions are included.
A test on ratios. The exercises are elementary and aim to introduce students to the concept of ratios. They require writing and simplifying ratios and solving simple word problems involving ratios. Detailed solutions are included. Can be used as a worksheet.
A test on percentages. 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 and reverse percentage problems. Detailed solutions are included.
A test on algebra. The exercises include using algebraic notation, simplifying expressions by collecting like terms and expanding brackets. Detailed solutions are included.
A test on simplifying numbers. The exercises include multiplying and dividing whole numbers and decimals by powers of 10, rounding numbers (to the nearest thousand, million etc or to a given number of significant figures), writing ordinary numbers in standard form and vice versa. 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 test on the following topics: multiplying and dividing positive and negative numbers, finding the factors of a given number, finding the HCF and the LCM of two given numbers and finding the prime factorisation of a number. Detailed solutions are included.
A test on percentages. The exercises 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. Detailed solutions are included.
A test on solving simple linear equations, linear equations with the variable on both sides, linear equations with brackets or fractions and rearranging formulae. Detailed solutions are included. Can be used as a worksheet.
A worksheet on percentages, fractions and decimals. The exercises include conversions between the three of them and word problems. Solutions are included.
