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 finding the gradient of a straight line passing through two given points, identifying the gradient and y-intercept of a straight line given it equation and finding the equation of a straight line given two points on the line. Detailed solutions are included.
Three worksheets on calculating the distance of the line segment joining two points and the coordinates of their midpoint. One on the midpoint, one on the distance and one on both. Solutions are included.
A collection of three worksheets on the following: determining the gradient of a straight line after rearranging its equation to the slope-intercept form, deciding whether two given lines are parallel, perpendicular or neither and determining whether two lines are parallel, intersect (perpendicularly or not) or coincide using their equation and their gradient. Solutions are provided.
Three worksheets on solving simultaneous equations algebraically using the methods of substitution and elimination or graphically. 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 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.
Five worksheets on the addition, subtraction, multiplication and division properties of inequalities, solving linear inequalities and determining the integers that satisfy a double inequality. Solutions are included.
A collection of three worksheets on the following topics:
Identifying prime numbers. The exercises require to find the factors of given numbers, identify the numbers that are prime and make general conclusions about prime numbers.
Prime numbers and prime factorisation. The exercises require to decide whether dome given numbers are prime or not and reach some conclusions, find the factors of a number given its prime factoristaion and find the common factors of two numbers given their prime factorisations.
Finding the prime factorisation of numbers using repeated division by their prime factors and using the prime factorisation of two numbers to obtain their highest common factor.
Detailed solutions are included.
Three worksheets on the following topics: expanding brackets, factorising expressions containing powers and expanding the product of two brackets. Detailed solutions are included.
A collection of three worksheets on solving linear equations. The exercises include one-step equations, two-step equations, equations with brackets and equations with fractions. Detailed solutions are included.
A collection of three worksheets. One worksheet on determining whether a point is on a line with a given equation by substituting the coordinates of the point on the equation. One worksheet on determining the gradient and the y-intercept of a straight line from its equation. And one worksheet on matching graphs of linear functions to their equations. Answers are included.
Three worksheets on expanding a square of a sum or a difference of two algebraic terms. One one the sum, one on the difference and one on both. Solutions are included.
Three worksheets on functions. The exercises are on determining whether a given mapping diagram represents a function or not and in the case of a function stating its domain and range and evaluating functions at a given value. Solutions are provided.
Three worksheets on simplifying algebraic expressions and algebraic fractions. The exercises include expanding brackets and collecting like terms, multiplying monomials and simplifying algebraic fractions. Solutions are included.
