21 foundational lessons covering everything from number basics to profit & loss and mixtures — each with theory, worked examples, practice questions, and a downloadable worksheet.
Numbers are the building blocks of mathematics. Before we can add, subtract, or ...
A number system is a way of writing numbers using a set of symbols and rules. Co...
Place value tells us what a digit is worth based on its position in a number. Th...
Addition combines two or more numbers into a total, called the sum. It is the fo...
Subtraction finds the difference between two numbers — how much is left when one...
Multiplication is repeated addition — a fast way to add the same number many tim...
Division splits a number into equal parts. It is the inverse operation of multip...
A fraction represents a part of a whole, written as numerator over denominator....
Decimals are another way to write fractions, using a decimal point to separate w...
A percentage expresses a number as a part of 100. It is one of the most commonly...
A ratio compares two or more quantities, showing how much of one thing there is ...
A proportion states that two ratios are equal. Proportions let us solve for an u...
The average (or mean) summarizes a group of numbers with a single typical value....
Profit and loss calculations tell us whether a sale made money or lost money, an...
Simple interest is money earned or paid based only on the original amount (the p...
Compound interest is calculated on the principal plus any interest already earne...
Speed, distance, and time are connected by one simple relationship that lets us ...
Time and work problems figure out how long a task takes when different people or...
Calendar problems use patterns in days, weeks, and years to figure out things li...
Age problems use the fact that everyone's age increases by the same amount each ...
Mixture problems combine two or more quantities with different properties (like ...