Law of Sine and Cosine Rule​: Step-by-Step Examples

Law of Sine and Cosine Rule​: Step-by-Step Examples

Law of Sine and Cosine Rule – GCSE Maths Practice Questions Downloads Introduction Laws of Sine and Cosine are trigonometric formulas used to solve triangles when certain information is given. They are especially useful for non-right triangles. These laws are fundamental in trigonometry and have applications in physics, engineering, and navigation. What is the Sine…

alculate area of a triangle using sine rule formula featured image

Calculate Area Using Sine Rule​: Step-by-Step Examples

Calculate Area Using Sine Rule​ – GCSE Maths Practice Questions Downloads Introduction Law of Sines are trigonometric formulas used to solve any triangles when certain information is given. This law is used to find unknown sides or angles in non-right-angled triangles, it can also be applied to calculate the area of a triangle when certain…

Independent and dependent events conditions explained GCSE Maths featured image

Independent Events: Step-by-Step Examples

Independent Events – GCSE Maths Practice Questions Downloads Introduction In Probability Theory, Independent events are the important concepts that describe different relationships between events. It describes how the occurrence of one event affects the probability of another event. What are Independent Events? Two events are Independent if one event does not affect the probability of…

Mutually exclusive events formula for probability GCSE maths revision.

Mutually Exclusive Events: Step-by-Step Examples

Mutually Exclusive Events – GCSE Maths Practice Questions Downloads Introduction Studying Mutually exclusive events are essential in probability because they help us analyze different types of real-world situations where outcomes interact in different ways. We learn mutually exclusive events in probability to understand situations where two events cannot happen at the same time. What are…

Two sides of a coin showing head and tail for illustrating probability concepts

Probability GCSE Questions, Step-by-step Examples & Worksheet

Probability – GCSE Maths Practice Questions Downloads Introduction Probability is a branch of mathematics that deals with calculating the likelihood of events occurring. Probability helps us measure and predict the chances of events happening in the real world like- What is a Probability? Probability is a measure of how likely an event is to occur….

Diagram showing two similar right-angled triangles with equal corresponding angles.

Similarity: Step-by-Step Examples

Similarity – GCSE Maths Practice Questions Downloads Introduction Similarity of shapes means that the shapes are same but they have different size, with equal corresponding angles and proportional sides. Concept of Similarity is applied in many places like linear algebra and data analysis to measure how much the two objects or datasets are similar. Concept…

Diagram showing three ways to write ratios: fractions, using colons, and in words

Ratios in Algebra: Step-by-Step Examples

Ratios in Algebra – GCSE Maths Practice Questions Downloads Introduction Ratios are number of one thing compared to another thing. (how much one quantity is present with respect to other) Simplification: (Common Factor : 3) If we multiply or divide the ratio’s numbers the ratios still remains the same From this simplification using common factor…

Two right-angled triangles each with a 45° angle and same hypotenuse, demonstrating congruence using RHS rule

Congruence: Step-by-Step Examples

Congruence – GCSE Maths Practice Questions Downloads Introduction Congruent shapes are those which have the same shape and size. These shapes can be rotated to look different but remain congruent. The Congruent shapes if are reflections (mirror image) of each other they might look very different. Congruent Triangles Congruent Triangles are those which are same…

Labeled diagram of a cylinder showing height (h), radius (r), and base

Cylinder and Spheres: Step-by-Step Examples

Cylinder and Spheres – GCSE Maths Practice Questions Downloads Introduction Cylinders and Spheres are three-dimensional geometric shapes that play essential role in mathematics, architecture, engineering, and everyday life. Both shapes can be described using the radius (r) as a key measurement, but they differ in shape and symmetry. Real life Examples: What is a Cylinder?…