Finance

Master financial mathematics and interest calculations

CAPS Grade 10 Mathematics

Financial mathematics is essential for understanding loans, investments, and economic growth. This section covers simple interest, compound interest, hire purchase agreements, and applications to inflation and population growth. Each topic includes interactive games and quizzes to test your understanding.

Learning Outcomes

  • Calculate simple interest and accumulated amounts
  • Apply compound interest formula to various scenarios
  • Solve hire purchase problems with deposits and insurance
  • Use compound growth for inflation and population
  • Differentiate between simple and compound growth
  • Solve real-world financial problems

Finance Topics

Select a topic below to begin your studies.

Quick Formula Comparison

Simple Interest

I = P × r × t
A = P(1 + rt)

Use for: Short-term loans, hire purchase

Compound Interest

A = P(1 + i)n

Use for: Investments, savings, loans

Hire Purchase

P = Cash Price - Deposit
Monthly = Total ÷ months

Inflation/Population

Future = Present × (1 + rate)n

Same as: Compound growth

Complete Formula Summary

Topic Formula Variables
Simple Interest I = P × r × t P = principal, r = rate (decimal), t = time (years)
Accumulated Amount (Simple) A = P(1 + rt) A = total amount including interest
Compound Interest A = P(1 + i)n i = rate per period, n = number of periods
Hire Purchase Principal P = Cash Price - Deposit Deposit = % of cash price
Inflation/Population Future = Present × (1 + rate)n Same as compound growth

Quick Check: What do you know

Test your understanding of financial mathematics before diving into the topics.

A) Simple interest uses A = P(1 + i)n
B) Compound interest grows linearly
C) Hire purchase uses simple interest after deposit
D) Inflation uses simple interest formula

Hint: Think about how hire purchase is calculated.

Key Terms in Finance

Principal Interest Simple Interest Compound Interest Hire Purchase Deposit Installment Inflation Growth Rate Future Value Present Value Interest Rate Per Annum Loan Investment

Study Tips for Finance

Back to Mathematics Start with Simple Interest

Start Here: Finance

Use this Finance section to connect percentage work with real money situations. Practise simple interest, compound growth, inflation, depreciation, and hire purchase by writing the formula, substituting values carefully, and interpreting the answer in context.

Learning Path

A useful path from this page is to begin with Simple Interest, continue with Compound Interest, and then test your understanding with Hire Purchase. Do not rush through the links; spend time on the examples and make sure you can explain the main idea without looking at the notes.

What to Focus On

Use this page to build definitions, worked examples, formulas, diagrams, and problem-solving methods. Write down key terms, formulas, diagrams, or steps that appear often so that revision becomes active instead of just rereading.

Revision Advice

Keep a correction book for sign errors, formula mistakes, geometry reasons, and questions that need more practice. After each lesson, close the page and try a short self-test from memory before checking your notes again.

Quick FAQ

If you are stuck, start with algebra basics and number skills, because many later topics depend on accurate manipulation and clear working. If a topic feels too difficult, return to the previous link, revise the basics, and then try the examples again before using past papers.