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 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.
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 presentation on converting recurring decimals to fractions and 3 worksheets with detailed solutions. The first worksheets is on recurring decimals with repeating digits only, the second worksheet is on recurring decimals with repeating and non-repeating digits and the third worksheet includes both cases of recurring decimals. 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.
A worksheet on multiplying whole numbers and decimals by 10, 100, 1000 and 10000. The exercises require to perform calculations or find missing numbers in given calculations. Solutions are included.
Six worksheets for Year 8 students on the following topics:
Factors, multiples, HCF and LCM.
Prime factors of an integer using division.
Highest common factor using prime factorisation.
Lowest common multiple using prime factorisation.
Percentages.
The nth term of a sequence.
Detailed solutions are included.
A worksheet on dividing whole numbers and decimals by 10, 100, 1000 and 10000. The exercises require to perform calculations or find missing numbers in given calculations. Solutions are included.
A worksheet on multiplying and dividing whole numbers and decimals by 10, 100, 1000 and 10000. The exercises require to perform calculations or find missing numbers in given calculations. Solutions are included.
Three introductory worksheets on negative rational numbers. The exercises require to order a given set of numbers, compare pairs of given numbers, find missing numbers in a given sequence.
Solutions are included.
An introductory worksheet on exponential functions. The exercises include stating whether a given function is exponential or not, evaluating an exponential function at some values, determining the constant term of an exponential function given a point on its graph and sketching exponential functions. Solutions are provided.
A worksheet on factorials. The exercises require to evaluate expressions involving factorials, simplify expressions with factorials and solve equations involving factorials. Detailed solutions are included.
An introductory worksheet on negative rational numbers. The exercises require to order a given set of numbers, compare pairs of given numbers, find missing numbers in a given sequence.
Three worksheets on multiplying and dividing whole numbers and decimals by 10, 100, 1000 and 10000. The exercises require to perform calculations or find missing numbers in given calculations. Solutions are included.
A worksheet on factorising algebraic expressions (quadratics included), simplifying algebraic expressions, performing the four operations between algebraic fractions, solving equations and word problems using factorisation. detailed solutions are included.
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.
