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 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 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.
A bundle of 12 worksheets (with detailed solutions) on Coordinate topics appropriate for GCSE students. Each worksheet contains questions for students of various abilities.
The topics covered by these worksheets include:
Midpoint of a line segment
The distance between two points on a line
Straight lines
Gradient and y-intercept of a straight line
Gradient of a straight line passing through two points
Equation of a line given its gradient and a point
Parallel and perpendicular lines
Equation of a line through a point and parallel to a given line
Equation of a line through a point and perpendicular to a given line
Graphs of linear equations
Special Cases of Linear Functions
Solving simultaneous equations graphically
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.
Four worksheets introducing the students to addition, subtraction, multiplication and division of positive and negative numbers (integers, fractions and decimals). The exercises require to perform calculations with two or more terms, find missing terms in given calculations, and compare numerical expressions. Solutions are included.
A worksheet on equations with logarithms. It includes introductory and harder exercises on this topic. Some equations require to use the properties of logarithms to solve them. Detailed solutions are included. Good for A level students.
Three worksheets on operations and linear equations with positive and negative numbers.
A worksheet introducing the students to addition, subtraction, multiplication and division of positive and negative numbers (integers, fractions and decimals). The exercises require to perform calculations with two or more terms and one or more operations (using the order of operations when appropriate) and find missing terms in given calculations.
And two worksheets on solving linear equations involving various cases such as: one-step and two-step linear , linear equations with brackets, linear equations with double brackets, linear equations with fractions and linear equations with the variable on both sides. Detailed solutions are included.
A worksheet on identifying complementary, supplementary and vertically opposite angles and using their properties to find the value of a variable. Detailed solutions are included.
A worksheet on recurring decimals. The exercises require converting recurring decimals to fractions, comparing numbers and examining whether a given fraction can be converted to a decimal number with finitely many decimals. Detailed solutions are provided.
A collection of three worksheets. A worksheet on evaluating powers of positive and negative integers.
A worksheet on evaluating powers of positive and negative fractions.
And a worksheet on evaluating powers with negative (integer or fraction).
The exponents in these powers are positive integers or zero.Solutions are included.
A worksheet on arithmetic sequences. The exercises require to find specific terms of an arithmetic sequence given a_1 and d or its first few terms, find the first few terms of an arithmetic sequences or d or specific terms given 2 of its terms (by solving a system of simultaneous equations), show that 3 numbers are successive terms of an arithmetic sequence and solve other (more advanced) problems on this topic. Detailed solutions are included.
A worksheet on evaluating powers of positive and negative integers. The exponents in these powers are positive integers or zero. Solutions are included.
Three worksheets on recurring decimals. The exercises require converting recurring decimals to fractions, comparing numbers and examining whether a given fraction can be converted to a decimal number with finitely many decimals. Detailed solutions are provided.
A collection of three worksheets. Two worksheets on identifying complementary, supplementary and vertically opposite angles and using their properties to find the value of a variable. One worksheet on evaluating the third angle in a triangle given the other two using the fact that their sum is 180 degrees. Detailed solutions are included.
A worksheet on solving proportions using cross multiplication and dividing amounts in a given ratio. The exercises require to solve given proportions (easy and harder), divide certain amounts in a given ratio and solve word problems where an amount is divided in a given ratio. Detailed solutions are included.
A worksheet on percentage word problems. The exercises require to find the percentage of an amount, express a quantity as a percentage of another quantity and work with percentage increases, percentage decreases and reverse percentage. Detailed solutions are included.