mr barton maths

0:00

Exchange Rates

Select the skills to practice, and then click Go!

Foundational Skills
Understand when currency conversion is needed
\[ \text{£} \rightarrow \text{€ (need rate)} \]
Recognise that different currencies require conversion.
Interpret an exchange rate (£ to foreign)
\[ \text{£}1 = \text{€}1.20 \]
Explain what an exchange rate tells you.
Interpret an exchange rate (foreign to £)
\[ \text{€}1 = \text{£}0.85 \]
Understand exchange rates given in either direction.
Identify which rate to use for a conversion
\[ \times \text{ or } \div \text{?} \]
Recognise whether to multiply or divide for a conversion.
Pounds to Foreign Currency
Convert pounds to Euros (whole pounds)
\[ \text{£}50 \rightarrow \text{€}60 \]
Multiply pounds by exchange rate.
Convert pounds to Euros (pounds and pence)
\[ \text{£}35.50 \rightarrow \text{€}? \]
Convert a pounds and pence amount to Euros.
Convert pounds to US Dollars
\[ \text{£}80 \rightarrow \$100 \]
Multiply pounds by Dollar exchange rate.
Convert pounds (result needs rounding)
\[ \text{£}45 \times 1.18 = ? \]
Convert when result doesn’t terminate.
Convert a small amount of pounds
\[ \text{£}8 \rightarrow \text{€}? \]
Convert smaller amounts of money.
Foreign to Pounds
Convert Euros to pounds (divides exactly)
\[ \text{€}100 \rightarrow \text{£}80 \]
Divide Euros by exchange rate.
Convert Euros to pounds (rounding needed)
\[ \text{€}50 \div 1.18 = ? \]
Divide and round the result.
Convert US Dollars to pounds
\[ \$260 \rightarrow \text{£}? \]
Divide Dollars by exchange rate.
Convert foreign currency (larger amount)
\[ \text{€}500 \rightarrow \text{£}? \]
Convert larger amounts to pounds.
Calculating Rates
Calculate exchange rate from two amounts
\[ \text{£}320 = \text{€}384 \rightarrow ? \]
Divide foreign price by UK price.
Calculate exchange rate from holiday spending
\[ \text{£}200 \rightarrow \text{€}230 \]
Find rate from actual exchange amounts.
Comparing Across Currencies
Determine which country has the cheaper price
\[ \text{UK vs France?} \]
Convert to same currency to compare.
Find the difference in price after conversion
\[ \text{£}45 \text{ vs } \$62 = ? \]
Convert and find difference.
Compare three prices in different currencies
\[ \text{UK, USA, Germany} \]
Compare multiple international prices.
Maximum Whole Units
Find maximum whole Euros obtainable
\[ \text{£}200 \rightarrow ? \text{ whole €} \]
Convert and round down to whole units.
Find maximum whole Dollars obtainable
\[ \text{£}150 \rightarrow ? \text{ whole } \$ \]
Convert to Dollars and round down.
Find maximum whole notes obtainable
\[ \text{How many €}20 \text{ notes?} \]
Convert then divide by note value.
Two-Stage Conversion
Convert through an intermediate currency
\[ \text{£} \rightarrow \$ \rightarrow \text{¥} \]
Use two exchange rates in sequence.
Convert from one foreign currency to another via pounds
\[ \text{€} \rightarrow \text{£} \rightarrow \$ \]
Convert foreign → £ → another foreign.
Reverse Rates
Use rate given as foreign = pounds
\[ \text{€}1 = \text{£}0.87 \]
Convert when rate is given in reverse form.
Use reverse rate to convert the other way
\[ \text{€}1 = \text{£}0.85 \rightarrow \text{€ to £} \]
Use reverse rate to convert foreign to pounds.
Rates with Different Formats
Interpret rate given as ‘X per pound’
\[ 1.20 \text{ Euros per pound} \]
Understand alternative rate format.
Interpret rate given per foreign unit
\[ 0.82 \text{ pounds per Euro} \]
Understand rate given per foreign unit.
Holiday Budgeting
Calculate spending money needed
\[ \text{€}85 \times 5 \text{ nights} = ? \]
Find total in foreign then convert to pounds.
Calculate remaining budget after spending
\[ \text{€}345 – \text{€}280 = ? \]
Simple subtraction in foreign currency.
Convert remaining foreign currency back to pounds
\[ \text{€}45 \rightarrow \text{£}? \]
Convert leftover currency back.
Special Cases
Handle rate of exactly 1
\[ \text{£}1 = \text{€}1.00 \]
Convert when currencies are at parity.
Recognise that rates change over time
\[ \text{Stronger or weaker?} \]
Understand what rate changes mean.
Timer (Optional)
Question