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).
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 bundle of 12 worksheets (with detailed solutions) on Coordinate topics appropriate for GCSE students. Each worksheet contains questions for students of various abilities.
The topics covered by these worksheets include:
Midpoint of a line segment
The distance between two points on a line
Straight lines
Gradient and y-intercept of a straight line
Gradient of a straight line passing through two points
Equation of a line given its gradient and a point
Parallel and perpendicular lines
Equation of a line through a point and parallel to a given line
Equation of a line through a point and perpendicular to a given line
Graphs of linear equations
Special Cases of Linear Functions
Solving simultaneous equations graphically
A bundle of 10 worksheets (with detailed solutions) on Number topics appropriate for GCSE students. Each worksheet contains questions for students of various abilities.
The topics covered by these worksheets include:
BIDMAS
Adding Integers
Subtracting Integers
Multiplying Integers
Dividing Integers
Mixed Operations Between Fractions, Mixed Numbers and Whole Numbers
Surds
Rules of Indices: Multiplication and Division
Fractional Indices
Negative and Fractional Indices
The pack is ideal for use in revision sessions or for individual study. The solutions provided are very clear and explanatory.
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 deciding whether a given pair of triangles are congruent using the three rules:
The three sides are equal (SSS)
Two angles are the same and a corresponding side is the same (ASA)
Two sides are equal and the angle between the two sides is equal (SAS)
Detailed solutions are included.
A collection of 20 worksheets on various number topics from the GCSE/IGCSE syllabus. The following topics are included:
Rounding
Bounds
Calculator use
Percentages, fractions and decimals
Increasing or decreasing an amount by a percentage
Percentage of a quantity
The rules of indices
Factors, Multiples and Primes
Square and cube roots
Mixed operations between fractions, mixed numbers and whole numbers
HCF and LCM using prime factorisation
Recurring decimals
Simple interest
Compound interest
Operations With Positive and Negative Numbers
Order of operations
Standard form
Multiplying and dividing by powers of 10
Adding and subtracting positive and negative numbers
Multiplying and dividing positive and negative numbers
Detailed solutions are provided for each worksheet.
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.
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 collection of three worksheets on factorising polynomials including the following cases:
Common Factor and Grouping
Difference of two squares - Difference and sum of two cubes
Trinomial-Perfect squares
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.
