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Cambridge IGCSE Mathematics revision notes

Money Revision Notes

Cambridge IGCSE revision notes for Money.

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Money

CambridgeIGCSEMathematicsCore Number

Complete revision guide

Calculations Involving Money and Currency Conversion

This note explains how to perform calculations with money, including converting amounts between different currencies using exchange rates. It covers understanding money calculations, applying exchange rates correctly, and ensuring accuracy with decimal places and units.

Syllabus source

Section 3, Topic C1.16, page 16, objective C1.16.1

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What you should be able to do

  • ✓Understand how to perform calculations involving money with correct units and decimal places.
  • ✓Know how to use exchange rates to convert amounts between different currencies.
  • ✓Apply currency conversion methods accurately in practical contexts.
  • ✓Recognise the importance of using the correct and current exchange rate.
  • ✓Develop confidence in checking and verifying money calculations.
1

Understanding Money Calculations

Money calculations require careful attention to units and decimal places because money is usually expressed to two decimal places (e.g., £12.34). When adding, subtracting, multiplying, or dividing money amounts, always keep the currency symbol or unit clear to avoid confusion.

For example, if you buy 3 items costing £2.50 each, the total cost is calculated by multiplying:

Total cost = 3 × £2.50 = £7.50. Here, the unit £ is carried through the calculation and the answer is expressed in pounds (£).

  • Always write the currency symbol or abbreviation with your answer.
  • Keep two decimal places when dealing with money unless otherwise instructed.
  • Check your calculations by estimating or using inverse operations.
2

Using Exchange Rates for Currency Conversion

Currency conversion involves changing an amount of money from one currency to another using an exchange rate. An exchange rate tells you how much one unit of a currency is worth in another currency.

For example, if the exchange rate is 1 USD = 0.85 EUR, this means 1 US dollar is equivalent to 0.85 euros.

To convert an amount from USD to EUR, multiply the amount in USD by the exchange rate: Amount in EUR = Amount in USD × Exchange rate.

  • Identify the direction of conversion (which currency to which).
  • Use the correct exchange rate for that direction.
  • Multiply the amount by the exchange rate to convert currencies.
3

Worked Example: Converting USD to EUR

Suppose you want to convert 150 USD to euros, and the exchange rate is 1 USD = 0.85 EUR.

Step 1: Write down the formula: Amount in EUR = Amount in USD × Exchange rate.

Step 2: Substitute values: Amount in EUR = 150 × 0.85 = 127.5 EUR (or €127.50).

  • Always include the currency unit in your final answer.
  • Check the calculation with a calculator or estimation.
4

Converting from Foreign Currency to Your Currency

If you have an amount in a foreign currency and want to convert it back to your own currency, you need the inverse exchange rate.

For example, if 1 USD = 0.85 EUR, then 1 EUR = 1 ÷ 0.85 ≈ 1.176 USD.

To convert 100 EUR to USD: Amount in USD = 100 × 1.176 = 117.6 USD.

  • Calculate the inverse exchange rate if not given.
  • Multiply the foreign currency amount by the inverse rate.
  • Keep track of units carefully to avoid errors.
5

Practical Tips for Money and Currency Calculations

Always use the most recent exchange rate available, as rates fluctuate regularly.

Round your answers appropriately, usually to two decimal places for money.

When dealing with large amounts, double-check your calculations to avoid costly mistakes.

  • Use a calculator for accuracy.
  • Write down each step clearly to avoid confusion.
  • Be aware of any fees or commissions that might affect the final amount.

At-a-glance summary

Comparison table

StepDetailExampleExam Use
Identify the currencies involvedKnow which currency you start with and which you want to convert toConvert 100 USD to EUREnsures correct application of exchange rate direction
Find the exchange rateUse the given rate or calculate the inverse if needed1 USD = 0.85 EUR, so 1 EUR = 1/0.85Prevents errors in multiplying by wrong rate
Apply the formulaMultiply the amount by the exchange rate100 × 0.85 = 85 EURShows correct calculation method
Include units and decimal placesWrite the answer with correct currency symbol and two decimals85.00 EURDemonstrates precision and clarity in answers

Active recall

Quick check

1. If 1 GBP = 1.30 USD, how many USD do you get for £50?

Multiply 50 by 1.30: 50 × 1.30 = 65 USD.

2. Convert 200 USD to GBP if 1 USD = 0.77 GBP.

Multiply 200 by 0.77: 200 × 0.77 = 154 GBP.

3. If 1 EUR = 1.10 USD, what is the exchange rate from USD to EUR?

Inverse of 1.10 is 1 ÷ 1.10 ≈ 0.909. So, 1 USD = 0.909 EUR.

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