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 6 worksheets on algebraic manipulation based on the GCSE 9-1 specification.
The following worksheet are included:
Multiplying out two brackets
Multiplying three brackets
Factorising quadratics
Simplifying algebraic fractions
Operations with algebraic fractions
Completing the square
Detailed solutions are included.
A collection of four worksheets on multiplying out brackets.
The first is on multiplying brackets by a single number or a single variable (positive or negative).
The second is on multiplying out two brackets and simplifying the answer by collecting like terms.
The third is on multiplying brackets by a term which can be a single number or variable (positive or negative) or a combination of a number with a variable.
The fourth is on multiplying out two brackets and simplifying the answer by collecting like terms and contains harder exercises.
Detailed solutions are included.
A worksheet on expanding and simplifying algebraic expressions by multiplying out brackets and collecting like terms including harder questions on this topic. Good for GCSE/IGCSE students. Detailed solutions are provided.
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 collection of three worksheets on the following:
Prime numbers and prime factorisation. The exercises require to decide whether some given numbers are prime or not and reach some conclusions about prime numbers, find the factors of a number given its prime factorisation, find the common factors of two numbers given their prime factorisations and find the prime factorisation of a number using repeated division.
Prime factorisation. The exercises require to find the prime factorisation of a number using repeated division.
Highest common factor and lowest common multiple. The exercises require to find the prime factorisation of some numbers and then use it to find their HCF and their LCM.
Detailed solutions are included.
A bundle of 10 worksheets (with detailed solutions) on Number topics appropriate for GCSE students. Each worksheet contains questions for students of various abilities.
The topics covered by these worksheets include:
Calculator use
Rounding
Equivalences between fractions, decimals and percentages
Standard form
Bounds
Powers
Operations between fractions, mixed numbers and whole numbers
Order of operations
Prime factorisation, HCF and LCM
Square and cube roots
The pack is ideal for use in revision sessions or for individual study. The solutions provided are very clear and explanatory.
Ten worksheets on the following number topics: rounding numbers, significant figures, factors, multiples, primes, HCF, LCM, standard form and order of operations. Detailed solutions are provided.
A collection of 20 worksheets on various number topics from the GCSE/IGCSE syllabus. The following topics are included:
Rounding
Bounds
Calculator use
Percentages, fractions and decimals
Increasing or decreasing an amount by a percentage
Percentage of a quantity
The rules of indices
Factors, Multiples and Primes
Square and cube roots
Mixed operations between fractions, mixed numbers and whole numbers
HCF and LCM using prime factorisation
Recurring decimals
Simple interest
Compound interest
Operations With Positive and Negative Numbers
Order of operations
Standard form
Multiplying and dividing by powers of 10
Adding and subtracting positive and negative numbers
Multiplying and dividing positive and negative numbers
Detailed solutions are provided for each worksheet.
Two worksheets one on identifying factors and multiples of a number and prime numbers and one on prime factorization, hcf and lcm. Detailed solutions are provided.