Form One Mathematics Notes: Ratios, Profit, and Loss
In Form One Mathematics under the Tanzania syllabus, students learn about ratios, which compare two or more quantities of the same kind. Ratios are expressed in the form a:b and can be simplified by dividing both terms by their greatest common divisor (GCD). Students practice solving real-life problems involving ratios, such as dividing quantities in given proportions or comparing different measurements. Additionally, they explore rates, which compare quantities of different units, like speed (km/h) or unit pricing (TSh per kg). Understanding ratios helps build a foundation for more advanced topics like proportions and percentages.
Another key topic is profit and loss, which introduces students to basic financial mathematics. Profit occurs when the selling price (SP) is higher than the cost price (CP), while loss happens when the CP exceeds the SP. Students learn to calculate profit/loss amounts and their corresponding percentages using the formulas:
– Profit = SP – CP
– Profit % = (Profit/CP) × 100%
– Loss = CP – SP
– Loss % = (Loss/CP) × 100%
These concepts are applied in everyday scenarios, such as business transactions, helping students develop practical arithmetic skills essential for commerce and daily life.
