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 deciding whether a given triangle is an isosceles triangle using the properties of isosceles triangles( two equal sides, two equal angles, any two of the median, bisector and height corresponding to the same side coincide). Detailed solutions are included.
A collection of three worksheets on the following topics:
Sum of angles in a triangle: evaluating the third angle in a triangle given the other two using the fact that their sum is 180 degrees
Triangle inequalities: deciding whether three numbers can represent the lengths of the sides of a triangle and determining the possible lengths of the third side of a triangle given the lengths of the other two sides
Isosceles triangles: deciding whether a given triangle is an isosceles triangle using the properties of isosceles triangles( two equal sides, two equal angles, any two of the median, bisector and height corresponding to the same side coincide).
Detailed solutions are included.
An e-book on solving quadratic equations using:
Factorisation
The method of completing the square
Square roots
The quadratic formula
It consists of four worksheets (one on each method) with detailed solutions.
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.
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 collection of three worksheets on expanding and simplifying expressions and proving identities 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.
A collection of three worksheets on solving simultaneous equations using substitution. One of the worksheets focuses on n solving simultaneous equations where the one is linear and the other is quadratic. Detailed solutions are included.
A collection of three worksheets on solving simultaneous equations. Two worksheets on using the method of elimination and one worksheet on solving simultaneous equations using their graphs. Detailed solutions are included.
A worksheet on simplifying expressions a by using the laws of indices (multiplication, division, power of a power, product and quotient rules). Detailed solutions are included. Good for A level students.
A collection of three worksheets on simplifying expressions and functions by using the rules of indices related to multiplication and division of powers with the same base. Detailed solutions are included. Good for A level students.
A worksheet on simplifying and evaluating expressions with positive and negative exponents, by using the laws of indices (multiplication, division, power of a power). Detailed solutions are included. Good for A level students.
A worksheet on order of operations. It contains exercises involving brackets, powers and the four basic operations between whole numbers. Solutions are included.
