A worksheet with word problems on dividing amounts in a given ratio. Detailed solutions are included.

A worksheet on negative and fractional indices. Detailed solutions are included.

A worksheet on using the laws of indices for multiplication, division and raising a power to another power.

A worksheet on calculating a fraction of a given amount and performing the four operations between fractions or mixed numbers. Detailed solutions are provided.

A worksheet on the following topics: solving linear equations, setting up equations, solving quadratic equations by using factorisation or by competing the square or by using the quadratic formula, solving simple and more complex simultaneous equations. Detailed solutions are provided. Good for GCSE/IGCSE students. The file is 23 pages long.

A worksheet on finding the HCF and the LCM of two numbers written as a product of their prime factors, using prime factorization. Detailed solutions are provided.

A worksheet on converting recurring decimals to fractions and mixed numbers. Detailed solutions are included.

A worksheet on graphing exponential functions by transforming the standard exponential functions e^x and e^-x. Detailed solutions are included. Good for A level students.

A worksheet on straight lines. The exercises include identifying the gradient of a line passing from two given points, identifying the gradient and the y-intercept of a line given its equation, working out the equation of a line given two points on the line and working out the midpoint of line segments given their end points. Detailed solutions are included.

A test on algebra. The exercises include expanding brackets, factorising expressions containing powers and expanding the product of two brackets. Detailed solutions are included using algebraic notation, simplifying expressions by collecting like terms and expanding brackets.

A test on fractions and mixed numbers. The exercises include adding, subtracting, multiplying and dividing fractions and multiplying and dividing fractions and mixed numbers. Detailed solutions are included.

A test on percentages. The exercises include working out percentages of a given amount, calculating simple interest, increasing and reducing an amount by a given percentage, working out the percentage change and reverse percentage problems. Detailed solutions are included.

A test on algebra. The exercises include using algebraic notation, simplifying expressions by collecting like terms and expanding brackets. Detailed solutions are included.

A test on simplifying numbers. The exercises include multiplying and dividing whole numbers and decimals by powers of 10, rounding numbers( to the nearest thousand, million etc or to a given number of significant figures), writing ordinary numbers in standard form and vice versa. Detailed solutions are included.

A test on sequences. The exercises include working out particular terms of a sequence given its nth term, working out the first few terms of a sequence given its first term and its common difference and working out the nth term of a sequence give the first few of its terms. Detailed solutions are included.

A test on percentages. The exercises include writing amounts as percentages, working out percentages of a given amount, increasing and reducing an amount by a given percentage and working out the percentage increase or decrease in a word problem. Detailed solutions are included.

A test on equations and formulae. The exercises include multiplying out brackets, simplifying expressions by collecting like terms, factorising expressions, solving equations with brackets and rearranging formulae to change the subject . Detailed solutions are included.

A test on elementary probability. The exercises require the use of theoretical probability, that is probability written as a ratio of the number of favorable outcomes to the number of possible outcomes. Detailed solutions are included.

A worksheet on ordering, adding and subtracting integers. Detailed solutions are included.

A worksheet on solving equations with a fraction on the one side. Detailed solutions are included.