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 multiplying fractions by fractions, fractions by mixed numbers, fractions by whole numbers, mixed numbers by mixed numbers and mixed numbers by whole numbers. Detailed solutions are included.
A worksheet on using the trigonometric identities that convert a product of a sine and a cosine or a product of two sines or a product of to cosines to a sum of sines or cosines. The exercises include using these identities to evaluate expressions and proving other identities. Detailed solutions are included.
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 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.
Three worksheets on the graph of the parabola y=ax^2. The exercises require to match a set of graphs (of parabolas) to their equations and find the equation of a parabola given its graph and a point on it. 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 polynomial long division and factorisation. The exercises require to find a polynomial given its factors, to examine whether a polynomial is a factor of another polynomial, to find a factor of a polynomial given its other factor, to find the hcf of algebraic expressions and find the missing terms in expressions that have been factorised. Detailed solutions are included.
A collection of three worksheets on determining the sign of trinomials given the trinomials or their graphs and solving quadratic inequalities using sign tables. 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.
A short introductory worksheet on congruent triangles. The exercises require to identify the corresponding equal angles or sides of some given congruent triangles. 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.
A collection of six worksheets with GCSE/IGCSE style questions on algebra and number topics such as simplifying algebraic expressions, factorisation, algebraic fractions, operations between fractions, hcf and lcm and surds, 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 collection of 8 worksheets on percentages.
The following are included:
Percentages, fractions and decimals
Expressing one quantity as a percentage of another
Percentage Increase-Decrease
Percentage change
Simple interest
Compound interest
Reverse percentage
Percentage (over 100) of a number
Detailed solutions are included.
