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 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.
Four tests on percentages. The exercises include writing amounts as percentages, calculating simple interest, working out percentages of a given amount, increasing and reducing an amount by a given percentage, working out the percentage increase or decrease in a word problem and reverse percentage problems. Detailed solutions are included.
Four test for Year 9 maths, on the following topics: percentages, equations and formulae, fractions and mixed numbers and algebra. 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, reverse percentage problems, multiplying out brackets, simplifying expressions by collecting like terms, factorising expressions, solving equations with brackets, rearranging formulae to change the subject, adding, subtracting, multiplying and dividing fractions, multiplying and dividing fractions and mixed numbers, expanding brackets, factorising expressions containing powers and expanding the product of two brackets. Detailed solutions are included.
A worksheet on adding and subtracting positive and negative integers and fractions. Good introductory exercises for this topic. Solutions are included.
A collection of three worksheets introducing students to algebra.
The first is on algebraic manipulation, including: ab in place of a times b, 3y in place of y + y + y and 3 times y, a squared in place of a times a, a cubed in place of a times a times a, a squared b in place of a times a times b, a/b
in place of a divided by b , coefficients written as fractions rather than as decimals and brackets. The second is on basic algebra: using algebra notation, collecting like terms, expanding brackets and using index notation. The third is on expanding single and double brackets and factorising algebraic expressions.
Detailed solutions are included.
A collection of three worksheets introducing students to calculus.
The first two are on differentiating using the basic rules for functions that are powers of a variable or sums of powers of a variable.
The third is on applications of differentiation and includes word problems.
Detailed solutions are included.
A collection of ten worksheets on the following algebra topics: Changing the subject of a formula, equation of a straight line ( finding the gradient of a line given its equation, finding the equation of a line given its gradient and one point on it or two points on it and finding the equation of a line parallel to another line passing through a given point), expanding expressions by multiplying brackets by a single number or variable and collecting like terms when appropriate, factorising polynomials (extracting a common factor, difference of two squares, perfect square, quadratic factorisation), indices, inverse and composite functions, linear equations. Detailed solutions are included.
A collection of three worksheets on solving quadratic equations.
The first is on solving quadratic equations by factorising.
The second is on solving quadratic equations using the quadratic formula.
The third is on completing the square and solving quadratic equations by completing the square.
Detailed solutions are included.
A collection of three worksheets on the four operations between integers.
The first is on addition and subtraction. The second is on multiplication and division. The third is on the four operations.
Detailed solutions are included.
A collection of four worksheets on multiplying out brackets.
The first is on multiplying brackets by a single number or a single variable (positive or negative).
The second is on multiplying out two brackets and simplifying the answer by collecting like terms.
The third is on multiplying brackets by a term which can be a single number or variable (positive or negative) or a combination of a number with a variable.
The fourth is on multiplying out two brackets and simplifying the answer by collecting like terms and contains harder exercises.
Detailed solutions are included.
A collection of four worksheets on adding, subtracting, multiplying and dividing fractions. The first is on addition, the second is on subtraction, the third is on multiplication and the fourth is on division.
Detailed solutions are included.
A collection of three worksheets on adding and subtracting mixed numbers. The first is on addition, the second is on subtraction and the third is on both operations.
Detailed solutions are included.
A collection of three worksheets on multiplying and dividing decimals and whole numbers by 10, 100 and 1000. The first is on multiplication, the second is on division and the third is on both operations.
Detailed solutions are included.
A collection of three worksheets. The first is on multiplying fractions by fractions, the second is on multiplying fractions by mixed numbers and the third is on multiplying fractions by whole numbers.
Detailed solutions are included.
