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).
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.
A worksheet on evaluating the distance between two points and the midpoint of a line segment. It begins with easy exercises requiring application of the formulas and continues with more demanding exercises. 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.
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.
A worksheet on the following measures of location and variability: mean, median, mode, weighted mean, range, standard deviation and coefficient of variation. 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.
A review worksheet on the equation of a straight line and simultaneous equations. The exercises require to find the midpoint of a line segment and the distance between two points, to find the relative position of two given lines, find the equation of a line passing through a given point and parallel to a given line, use graphs of lines to find the solution of simultaneous equations, solve simultaneous equations algebraically and solve word problems using simultaneous equations. Detailed solutions are included.
A worksheet on factorizing algebraic expressions (quadratics included), simplifying algebraic expressions, performing the four operations between algebraic fractions, solving equations and word problems using factorization. detailed solutions are included.
Three worksheets on factorials. The exercises require to evaluate expressions involving factorials, simplify expressions with factorials and solve equations involving factorials. Detailed solutions are included.
A worksheet on factorials. The exercises require to evaluate expressions involving factorials, simplify expressions with factorials and solve equations involving factorials. Detailed solutions are included.
Three introductory worksheets on negative rational numbers. The exercises require to order a given set of numbers, compare pairs of given numbers, find missing numbers in a given sequence.
Solutions are included.
An introductory worksheet on negative rational numbers. The exercises require to order a given set of numbers, compare pairs of given numbers, find missing numbers in a given sequence.
An introductory worksheet on negative rational numbers. The exercises require to order a given set of numbers, compare pairs of given numbers, find missing numbers in a given sequence.
A worksheet on dividing whole numbers and decimals by 10, 100, 1000 and 10000. The exercises require to perform calculations or find missing numbers in given calculations. Solutions are included.
A worksheet on multiplying and dividing whole numbers and decimals by 10, 100, 1000 and 10000. The exercises require to perform calculations or find missing numbers in given calculations. Solutions are included.
