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 expanding algebraic expressions of the form (a+b)(a-b), (a+b)^2, (a-b)^2, (a+b)^3 and (a-b)^3 using the corresponding identities. 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.
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.
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 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 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.
Five worksheets for Year 9 students on the following topics:
Algebra
Expanding brackets
Expanding brackets and factorising
Expanding the product of two brackets
Factorising expressions containing powers
Detailed solutions are included.
Eight worksheets for Year 9 students on the following topics:
Calculating the original value
Percentage increases and decreases
Simple interest
Equations with brackets
Equations with fractions
Factorising algebraic expressions
Multiplying out brackets
Rearranging formulae
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.
Three worksheets for Year 9 students on the following topics:
Metric units for area and volume
Metric units for capacity
Detailed solutions are included.
Four worksheets for Year 9 students on the following topics:
Mental calculations
Powers of 10
Rounding appropriately
Standard form
Detailed solutions are included.
Three worksheets on solving simultaneous equations using the methods of substitution and elimination. 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.
A worksheet on geometric sequences. The exercises require to find specific terms of a geometric sequence given a_1 and r or 2 of its terms (by solving a system of simultaneous equations), show that 3 numbers are successive terms of a geometric sequence and solve other (more advanced) problems on this topic. Detailed solutions are included.
A worksheet on the triangle angle sum theorem. The exercises require to find missing angles by using the triangle angle sum theorem and the properties of special types of triangles (isosceles and equilateral). Detailed solutions are included.
