A collection of three worksheets. Two worksheets on determining whether two lines are parallel, intersect or coincide and examining if they are perpendicular and one 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.

Three worksheets on solving simultaneous equations algebraically using the methods of substitution and elimination or graphically. The exercise require to solve simple and more complicated pairs of equations simultaneously and use simultaneous equations to solve word problems. Detailed solutions are included.

Three worksheets on the following topics: 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 Congruent Triangles: deciding whether a given pair of triangles are congruent Congruent right-angled triangles: deciding whether a given pair of right-angled triangles are congruent 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.

Three worksheets on adding, subtracting, multiplying and dividing integers. Solutions are included.

A collection of four worksheets on factorising algebraic expressions for cases where there is a common factor or the method of grouping can be used. One worksheet on factorising linear algebraic expressions by taking out the highest common factor of the terms, one worksheet on factorising algebraic expressions by grouping and two worksheets with exercises of both types. Detailed solutions are included.

Three worksheets on the following: differentiating using the basic rules: rule for constant functions, power rule, exponential functions rule, sum rule, product rule and quotient rule. differentiating functions involving sine, cosine, tangent, cotangent, secant and cosecant differentiating composite functions using the chain rule Detailed solutions are included. Good for A level students.

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.