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 factorising algebraic expressions for cases where there is a common factor or the method of grouping can be used. Detailed solutions are included.
A worksheet on similar polygons. The exercises require to decide if given pairs of polygons are similar, to find the perimeter or the area or the lengths of the sides of a polygon given some information about a similar polygon. Detailed solutions are included.
Three worksheets on factorising algebraic expressions for cases where there is a common factor or the method of grouping can be used. Detailed solutions are included.
A worksheet on factorising algebraic expressions involving differences of two squares or differences and sums of two cubes. Detailed solutions are included.
A worksheet on the triangle inequalities that state that:
The sum of any two sides of a triangle is always greater than the third side.
The modulus of the difference of any two sides of a triangle is always smaller than the third side.
The side opposite to the larger angle is longer, in any triangle.
Detailed solutions are included.
Four worksheet on the following topics:
Simplifying algebraic fractions
Adding and subtracting algebraic fractions
Multiplying and dividing algebraic fractions
Solving equations with algebraic fractions
Detailed solutions are provided.
Three worksheets on trigonometric ratios sine, cosine and tangent. The exercises require to evaluate these numbers for an angle in a given triangle, to identify the trigonometric number that corresponds to a given ratio for a given triangle, to use a calculator to evaluate the trigonometric number of a given angle or the angle given one of its trigonometric numbers and to associate the sine or cosine of an angle to the cosine or sine of its complementary angle. In addition the exercises in the third worksheet require to use the unit circle to find the sign and the value of the trigonometric ratios of given angles.Detailed solutions are included.
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. 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.
