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).
An introductory worksheet on inequalities. The exercises require to use the inequality symbols and list the numbers that satisfy a given double inequality. Answers are included.
A collection of ten worksheets on the following algebra topics: Changing the subject of a formula, equation of a straight line ( finding the gradient of a line given its equation, finding the equation of a line given its gradient and one point on it or two points on it and finding the equation of a line parallel to another line passing through a given point), expanding expressions by multiplying brackets by a single number or variable and collecting like terms when appropriate, factorising polynomials (extracting a common factor, difference of two squares, perfect square, quadratic factorisation), indices, inverse and composite functions, linear equations. Detailed solutions are included.
A collection of 5 worksheets on ratio and proportion based on the GCSE 9-1 specification.
The following worksheet are included:
Introduction to ratios: converting ratios to fractions, writing and simplifying ratios
Simplifying ratios
Ratios: simplifying ratios and dividing an amount in a given ratio
Dividing amounts in a given ratio
Direct proportion: calculating the constant of proportionality using the given information and then use the resulting equation to calculate the value of the one of the two variables given the value of the other
Detailed solutions are included.
A worksheet on functions. The exercises include evaluating a function at a given point, identifying the values that should be excluded from the domain of given functions, finding the inverse of a given function and the composition of two given functions. Detailed solutions are included. Good for GCSE/IGCSE students.
A test on the four operations with integers, highest common factor and lowest common multiple. The exercises include adding, subtracting, multiplying and dividing positive and negative integers, writing numbers as a product of their prime factors and identifying the HCF and the LCM of two numbers. Detailed solutions are included.
A worksheet on sequences. The exercises include writing down the next terms of a given sequence, writing down the first few terms of a sequence given its nth term, identifying the nth term of a given sequence, calculating the sum of a number of terms of a given sequence and finding the missing terms in a given sequence. Detailed solutions are included.
A worksheet on using the three basic laws of logarithms (adding logarithms with the same base, subtracting logarithms with the same base and simplifying the logarithm of a power). Detailed solutions are included. Good for A level students.
A collection of three worksheets. Two worksheets on changing the base of a given logarithm and evaluating or simplifying expressions by changing the base of a logarithm and one worksheet on using the three basic laws of logarithms (adding logarithms with the same base, subtracting logarithms with the same base and simplifying the logarithm of a power). Solutions are included.
A collection of four worksheets on the following topics: writing expressions as a logarithm, laws of logarithms, changing the base of logarithms and solving exponential equations. Detailed solutions are included. Good for A level students.
Three worksheets on the following basic properties of logarithms:
log_a 1=0
log_a a=1
log_a a^x=x
a^{log_a x}=x
product rule
division rule
power rule/exponential rule
change of base rule
Detailed solutions are included.
A collection of three worksheets on converting metric units. A worksheet on converting metric units of length between mm, cm ,m and km. A worksheet on converting from one metric unit of area (square mm, cm, m and km) to another. And a worksheet on converting from one metric unit of area or volume to another. Solutions are included.
A collection of three worksheets on the following:
Adding integers with the same signs
Adding integers with different signs
Adding integers with the same or different signs
Solutions are included.
