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 sequences. The exercises require to find the first few terms or terms in specific positions of a sequence by using the nth term formula, find the position of a term in a sequence for which the nth term is known, find the nth term or the recursive formula of a sequence given its first few terms and graph a sequence given its nth term. Good for introduction to this subject. Solutions are included.
Three worksheets on sequences, arithmetic sequences and series.
An introductory worksheet on sequences. The exercises require to find the first few terms or terms in specific positions of a sequence by using the nth term formula, find the position of a term in a sequence for which the nth term is known, find the nth term or the recursive formula of a sequence given its first few terms and graph a sequence given its nth term.
A worksheet on arithmetic sequences. The exercises require to find specific terms of an arithmetic sequence given a1 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.
A worksheet on the sum of the terms of an arithmetic sequence or arithmetic series. The exercises require to find the sum of a number of terms of an arithmetic sequence given the first terms and the common difference, the first few terms of the sequence, to of the terms of the sequence (by solving a system of simultaneous equations), the first and the last term or the first term and the sum of two other terms.
Detailed solutions are included.
An introductory worksheet on ratio and proportion. The exercises require to write ratios to compare quantities, to simplify ratios, to form proportions by completing missing terms or by using given ratios and solve word problems involving ratios. Detailed solutions are included.
A worksheet on geometric sequences. The exercises require to find specific terms of a geometric sequence given a_1 and r or 2 of its terms (by solving a system of simultaneous equations), show that 3 numbers are successive terms of a geometric sequence and solve other (more advanced) problems on this topic. Detailed solutions are included.
A worksheet on the sum of the terms of a geometric sequence or geometric series. The exercises require to find the sum of a number of terms of a geometric sequence given the first terms and the common ratio, the first few terms of the sequence, the sum of two pairs of terms of the sequence (by solving a system of simultaneous equations), the first and the last term of the sequence. In addition some exercises require to find the sum to infinity of a given geometric sequence given its first term and its common ratio or its first terms Detailed solutions are included.
A collection of three worksheets. Two worksheets on classifying angles as right, straight, acute, obtuse or reflex and a worksheet on determining the type of a given triangle with respect to its interior angles (acute-angled, obtuse-angled, right-angled) and with respect to its sides (scalene, isosceles, equilateral).
Detailed solutions are included.
A collection of three worksheets on ratio and proportion and percentages. The exercises require to simplify fractions, calculate a percentage of an amount, the percentage increase and decrease of an amount, increase or decrease an amount by a given percentage using a table, solve given proportions (easy and harder), solve word problems involving ratios, solve word problems where an amount is divided in a given ratio, find the percentage of an amount and work with percentage increases, percentage decreases and reverse percentage. Detailed solutions are included.
A worksheet on determining the type of a given triangle with respect to its interior angles (acute-angled, obtuse-angled, right-angled) and with respect to its sides (scalene, isosceles, equilateral).
Detailed solutions are included.
A worksheet on percentage word problems which are solved using a ratio table. 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.
Three worksheets on the following topics.
Parts of a Circle: A worksheet on identifying the following parts of a circle: center, radius, diameter, chord, arc and central angle. The exercises require to identify these in given circles and test whether students know basic facts about them.
Circumference and area of a circle: A worksheet on finding the circumference and area of a circle given its radius or diameter.
Relative Position of Two Circles: A worksheet on determining whether two given circles intersect each other at two points, touch each other externally, touch each other internally, lie outside each other or the one lies inside the other, by considering the distance of their centers.
Detailed solutions are included.
A worksheet on identifying the following parts of a circle: center, radius, diameter, chord, arc and central angle. The exercises require to identify these in given circles and test whether students know basic facts about them. Detailed solutions are included.
A worksheet on multiplication with negative numbers (integers, fractions, mixed numbers and decimals). The exercises require to multiply two or more numbers and apply the order of operations in calculations that involve multiplication, addition and subtraction.
A worksheet on multiplication with negative numbers (integers, fractions, mixed numbers and decimals). The exercises require to multiply two or more numbers, find the missing numbers in given calculations and apply the order of operations in calculations that involve multiplication, addition and subtraction.
A worksheet on changing recurring decimals into fractions. Including recurring decimals with repeating digits and recurring decimals with repeating and nonrepeating digits. Detailed solutions are provided.
A worksheet on simplifying algebraic expressions by combining like terms. Consisting of 16 questions that include the cases of negative coefficients (requiring to add positive and negative integers) and brackets (require to use the distributive property). An answer key is provided.
A worksheet on solving linear equations of various types: one-step equations, two-step-equations, equations with the variable on both sides, equations with brackets and equations with fractions. Detailed solutions are included.
