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 three worksheets on the following topics:
Circle theorems
Alternate Segment Theorem
Relative Position of Two Circles
Detailed solutions are included.
A worksheet on the following circle theorems:
Angle at the centre theorem
Angles in the same segment theorem
Angles in a semicircle theorem
Cyclic quadrilateral theorem
Central angle and corresponding arc theorem
Arcs between parallel chords theorem
Detailed solutions are included.
A worksheet on determining whether two given circles intersect each other at two points, touch each other externally, touch each other internally, lie outside each other or the one lies inside the other, by considering the distance of their centres. Detailed solutions are included.
A collection of three worksheets on the following topics:
Unit Circle-Trigonometric Ratios: on using the unit circle to find the sign and the value of the trigonometric ratios of given angles
Expressing Trigonometric ratios in Terms of Trigonometric Ratios of Acute Angles
Trigonometric identities: on the trigonometric identities tanx=sinx/cosx, cotx=cosx/sinx and sin^2x+cos^2x=1
Detailed solutions are provided.
A worksheet on the trigonometric identities tanx=sinx/cosx, cotx=cosx/sinx and sin^2x+cos^2x=1. The exercises require to use these identities to evaluate expressions and trigonometric ratios and prove other identities. Detailed solutions are included.
A collection of four worksheets on the following topics:
nth Roots
Properties of Roots
Powers with rational exponents
Surds-Rationalising the Denominator
Detailed solutions are provided.
A worksheet on nth roots. The exercises include evaluating nth roots, simplifying expressions and solving equations involving nth roots. Solutions are provided.
A collection of four worksheets on logarithms. The following worksheets are included:
Basic properties of logarithms
Addition and power laws of logarithms
Laws of logarithms
Changing the base of logarithms
Solutions are provided.
A collection of 8 worksheets on functions. The following topics are included:
Identifying Graphs of Functions
Identifying Functions, Domain and Range-Set of Ordered Pairs
Evaluating Functions
Even and Odd Functions
Equality of Functions
Composition of Functions
Injective Functions
Inverse Functions (harder)
Solutions are provided.
A collection of 16 worksheets on fractions. The following topics are included:
Equivalent fractions
Comparing fractions
Simplifying fractions
Simplifying fractions (harder)
Equivalences between fractions, decimals and percentages
Improper fractions and mixed numbers
Adding fractions
Subtracting fractions
Multiplying fractions
Dividing fractions
Adding, subtracting, multiplying and dividing fractions and whole numbers
Addition between fractions and mixed numbers
Subtraction between fractions and mixed numbers
Multiplication of Fractions and Mixed Numbers
Division between fractions and mixed numbers
Adding three fractions
Solutions are provided.
A worksheet on using the trigonometric identities that convert as sum of two sines or two cosines to a product of sines or cosines. The exercises include using these identities to evaluate expressions and proving other identities. Detailed solutions are included.
