This is a worksheet to help students strengthen their skills in the concept of parallel lines cut by a transversal. The following angle relationships occur in the exercises: complementary angles, supplementary angles, vertical angles, alternate interior angles, alternate exterior angles, consecutive interior angles and corresponding angles. In the first two exercises, students are given a diagram with two parallel lines cut by a transversal and are required to identify the relationships between some given pairs of angles. In the next exercises, students are given some diagrams with missing angles which are required to find by using their knowledge on the topic. Elementary and harder exercises are included. Detailed solutions (with reasoning) are provided.

You will download introductory notes (rules and examples) and a long worksheet on the divisibility rules for numbers 2, 3, 4, 5, 9, 10 and 25. There are 2 pages with the divisibility rules and examples and a 6 page worksheet. In the exercises, the students are required to decide whether a given number is divisible by 2, 3, 4, 5, 9, 10 and 25, find missing digits in given numbers so that they are divisible or not divisible by one or more of these numbers, answer word problems on this topic and state whether some given statements are true or false. Detailed solutions are included.

You will download introductory notes (rules and examples) and a long worksheet on the divisibility rules for numbers 2, 3, 4, 5, 9, 10 and 25. There are 2 pages with the divisibility rules and examples and a 6 page worksheet. In the exercises, the students are required to decide whether a given number is divisible by 2, 3, 4, 5, 9, 10 and 25, find missing digits in given numbers so that they are divisible or not divisible by one or more of these numbers, answer word problems on this topic and state whether some given statements are true or false. Detailed solutions are included.

A worksheet on complementary angles, supplementary angles, and vertical angles. The exercises require to identify complementary, supplementary and vertical angles and write and solve equations to find missing complementary, supplementary and vertical angles, as well as angles on a line and angles in a circle. It includes harder exercises on this topic. Detailed solutions are included.

A worksheet on complementary angles, supplementary angles, and vertical angles. It includes introductory notes with the definitions of these types of angles. The exercises require to identify complementary, supplementary and vertical angles, find the complementary and supplementary angles of a given angle and write and solve equations to find missing complementary and supplementary angles. Detailed solutions are included. Good to be used as an introductory worksheet for this topic.

A worksheet on complementary angles, supplementary angles, and vertical angles. The exercises require to identify complementary, supplementary and vertical angles and write and solve equations to find missing complementary, supplementary and vertical angles, as well as angles on a line and angles in a circle. Detailed solutions are included.

A Ratios, Proportions, and Percents Unit Bundle that includes introductory notes and three worksheet on ratios and proportions, properties of proportions and ratios. The following topics are covered: Ratios Proportions Scale Ratios Ratio Word Problems Properties of Proportions Solving Equations by Cross Multiplication Dividing Amounts in Given Ratio Proportion Word Problems Percentages Percentage of an Amount Percentage Word Problems Percentage Change Reverse Percentage Detailed solutions are included.

A worksheet on factorising polynomials covering different cases: extracting a common factor, difference of two squares, perfect square and trinomials with leading coefficient 1. Detailed solutions are provided.

A worksheet on expanding double brackets. Solutions are included.

A worksheet on solving linear and quadratic equations by cross multiplication. Detailed solutions are included.

A worksheet on expanding brackets and simplifying the resulting expressions by collecting like terms. Solutions are included.

A worksheet on solving linear equations by cross multiplication. Detailed solutions are included.

A worksheet on determining the gradient and the y-intercept of a straight line from its equation.

An introductory worksheet on factorising linear algebraic expressions by taking out the highest common factor of the terms. Detailed solutions are included.

A worksheet on order of operations. The exercises include calculations with brackets, exponents and the four operations between positive and negative integers. Detailed solutions are included.