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?…

Circumference and Area of a Circle: Step-by-Step Examples

Circumference and Area of a Circle – GCSE Maths Practice Questions Downloads Introduction Circle is very important shape in Geometry. Since it is used in various fields its study is important. Understanding the concepts of Area and Circumference of a Circle is crucial as it is applied in real life like Construction and even in…

Labeled diagrams of a pyramid and a cone showing apex, base, height, slant height, and radius

Pyramid and Cones -: Step-by-Step Examples

Pyramid and Cones – GCSE Maths Practice Questions Downloads Introduction Pyramid and Cones are three-dimensional (3D) geometric shapes that play essential role in mathematics, architecture, engineering, and everyday life. Both shapes have a base and an apex, but they differ in structure and properties. Real life Examples: What is a Cone? A cone is a…

Diagram comparing ratios 5:10 and 2:4 using shaded fractions of shapes to explain proportional equivalence

Ratio and Proportion: Step-by-Step Examples

Ratio and Proportion – GCSE Maths Practice Questions Downloads Introduction When we compare two quantities or numbers using division, then it is called Ratio and Whenever we compare ratios , then it is called Proportion. In the following example we are equating two ratios and it is called Proportion. Ratios and Proportions Ratios allows us…

Diagram showing the process of expanding and factorising expressions like 6(x + 3) and 2(y + 30)

Expanding and Factorising: Step-by-Step Examples

Expanding and Factorising – GCSE Maths Practice Questions Downloads Introduction Expanding: Simplifying the expression or equation by eliminating the brackets present. Multiplying the number outside the brackets with numbers inside. Factorising: Writing the simplified equation in a brief form means using brackets. Expansion and Factorisation in Detail Expansion: Example: Step#1: Identify the paranthesis in expression…

Decimal Recurring to Fraction: Step-by-Step Examples

Decimal Recurring to Fraction: Step-by-Step Examples

Decimal Recurring to Fraction Practice Questions Downloads Introduction A Recurring Decimal is denoted with a dot over the number and is any decimal in which the digits repeat themselves. Types of Recurring Decimals Pure Recurring Decimals: Decimal where all the digits after the decimal point repeat indefinitely. Examples: 0.333… 0.7474…. 0.4545…. 0.98549854…. Mixed Recurring Decimals:…