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 worksheet on expanding and simplifying expressions using the identities for the square of a sum or a difference of two terms, the cube of a sum or a difference of two terms and the difference of two squares. It included some more demanding exercises that require to prove new identities or evaluate the value of given expressions using the identities. Solutions are included.
An introductory worksheet on exponential functions. The exercises include stating whether a given function is exponential or not, evaluating an exponential function at some values, determining the constant term of an exponential function given a point on its graph and sketching exponential functions. Solutions are provided.
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 worksheet on the basic properties of logarithms: product rule,
division rule, power rule/exponential rule and change of base rule.
Detailed solutions are included.
A worksheet on logarithmic functions. The exercises require to sketch graphs of such functions, find their domain and the functions which are symmetric to them about the line y=x.
Detailed solutions are included.
An introductory worksheet on logarithms. The exercises require converting expressions from exponential to logarithmic form, evaluating given logarithms and solving equations involving logarithms or exponential equations.
Detailed solutions are included.
Three worksheets on the following topics
Introduction to Logarithms: The exercises require converting expressions from exponential to logarithmic form, evaluating given logarithms and solving equations involving logarithms or exponential equations.
Properties of Logarithms: The exercises require using the basic properties of logarithms, product rule,
division rule, power rule/exponential rule and change of base rule.
Logarithmic Function: he exercises require to sketch graphs of such functions, find their domain and the functions which are symmetric to them about the line y=x.
Detailed solutions are included.
Four worksheets on rearranging formulae to change the subject including easy and harder exercises. Good for GCSE/IGCSE students. Detailed solutions are included.
A collection of three worksheets:
An introductory worksheet on the trigonometric ratios sine, cosine and tangent. The exercises require to evaluate these ratios for an angle in a given triangle, to identify the trigonometric ratio that corresponds to a given ratio for a given triangle, to use a calculator to evaluate the trigonometric ratio of a given angle or the angle given one of its trigonometric ratios and to associate the sine or cosine of an angle to the cosine or sine of its complementary angle.
Two worksheets on evaluating missing angles or sides in a given right-angled triangle.
Detailed solutions are included.
A worksheet on determining whether two lines are parallel, intersect or coincide and examining if they are perpendicular. Detailed solutions are included.
Three worksheets on determining whether two lines are parallel, intersect or coincide and examining if they are perpendicular. Detailed solutions are included.
A presentation on converting recurring decimals to fractions and 3 worksheets with detailed solutions. The first worksheets is on recurring decimals with repeating digits only, the second worksheet is on recurring decimals with repeating and non-repeating digits and the third worksheet includes both cases of recurring decimals. detailed solutions are included.
