Exchange rates are used when comparing and converting between different currencies. A good understanding of ratio and proportion is helpful for exchange rate conversion questions.

- Using
**ratios**is one of the easiest ways to compare, convert and simplify exchange rates- STEP 1

Put exchange rates in**ratio**form (use more than one line if necessary) - STEP 2

Add lines for prices/costs - STEP 3

Use**scale factors**to complete lines - STEP 4

Pick out the**answer**

- STEP 1

€1 (1 Euro) is worth $19.51 (Mexican Pesos).

₿1 (1 Bitcoin) is worth €20004.96 (Euro).

A vintage car costs $1000000 (Mexican Pesos).

What is the cost of the car in Bitcoin?

Convert $1000000 Mexican Peso to Euros.

Put the exchange rates in ratio form.

Euro : Mexican Peso = 1 : 19.51

Add a line for each rate.

Euro : Mexican Peso

Convert $1000000 Mexican Peso to Euros by dividing 1000000 by 19.51.

1000000 ÷ 19.51 = 51255.7662….

So $1000000 Mexican Peso = €51255.7662… Euro.

Convert €51255.7662… Euro to Bitcoin.

Put the exchange rates in ratio form.

Bitcoin : Euro = 1 : 20004.96

Add a line for each rate.

Bitcoin : Euro

Convert €51255.7662… Euro to Bitcoin by dividing 51255.7662… by 20004.96.

51255.7662… ÷ 20004.96 = 2.56215… Bitcoin

Round to a suitable degree of accuracy.

**₿2.56 Bitcoin**

You need to be able to determine, with clear reasoning, which deal being offered by shops is the best value for money.

- Find the price of
**1 item**(by**dividing**the number of items and total price by the same**scale factor**)- e.g. if 3 tins cost £1.20 then 1 tin costs 40p (by dividing both quantities by 3)

**Compare**the prices of 1 item from each shop / deal to see which is**cheaper**- The cheaper deal is the
**better value for money** - e.g. 1 tin costs 40p from shop
*A*and 45p from shop*B*- 1 tin at shop
*A*is cheaper than at shop*B* - therefore shop
*A*is the better value for money

- 1 tin at shop

- The cheaper deal is the
- For more complicated deals, write down each line of working clearly

Two deals for buying caps are given below:

3 caps for £22.50 from Baseball World

5 caps for £36 from Head Hut

At which shop are the caps better value?

You must show your working.

Find the cost of 1 cap from Baseball World (by dividing £22.50 by 3)

22.50 ÷ 3 = £7.50 for 1 cap from Baseball World

Find the cost of 1 cap from Head Hut (by dividing 36 by 5)

36 ÷ 5 = £7.20 for 1 cap from Head Hut

Compare the price of 1 cap from each shop to see which is cheapest

£7.20 is cheaper than £7.50

Write down, with reason, the shop with better value

**1 cap from Head Hut costs £7.20 and 1 cap from Baseball World costs £7.50****£7.20 is cheaper than £7.50 so Head Hut is better value**

- Mathematical Operations
- Negative Numbers
- Money Calculations
- Number Operations
- Related Calculations
- Counting Principles

- Types of Number
- Prime Factor Decomposition
- HCF & LCM

- Powers, Roots & Indices
- Standard Form

- Basic Fractions
- Operations with Fractions

- Basic Percentages
- Working with Percentages

- Interest & Depreciation
- Exponential Growth & Decay

- Converting between FDP
- Converting between FDP

- Rounding & Estimation
- Bounds

- Simplifying Surds
- Rationalising Denominators

- Using a Calculator

- Algebraic Notation & Vocabulary
- Algebra Basics

- Algebraic Roots & Indices

- Expanding Single Brackets
- Expanding Multiple Brackets

- Factorising
- Factorising Quadratics
- Quadratics Factorising Methods

- Completing the Square

- Rearranging Formulae

- Algebraic Proof

- Solving Linear Equations

- Solving Quadratic Equations
- Quadratic Equation Methods

- Simultaneous Equations

- Iteration

- Forming Equations
- Equations & Problem Solving

- Functions Toolkit
- Composite & Inverse Functions

- Coordinates
- Coordinate Geometry

- Straight Line Graphs (y = mx + c)
- Parallel & Perpendicular Lines

- Types of Graphs
- Graphical Solutions
- Trig Graphs

- Equation of a Circle
- Equation of a Tangents

- Finding Gradients of Tangents
- Finding Areas under Graphs

- Distance-Time & Speed-Time Graphs
- Conversion Graphs
- Rates of Change of Graphs

- Solving Linear Inequalities
- Conversion Graphs
- Solving Quadratic Inequalities

- Graphing Inequalities

- Reflections of Graphs

- Introduction to Sequences
- Types of Sequences
- Linear Sequences
- Quadratic Sequences

- Simple Ratio
- Working with Proportion

- Ratios & FDP
- Multiple Ratios

- Direct & Inverse Proportion

- Time
- Unit Conversions
- Compound Measures

- Symmetry
- 2D & 3D Shapes
- Plans & Elevations

- Basic Angle Properties
- Angles in Polygons
- Angles in Parallel Lines

- Bearings
- Scale & Maps
- Constructing Triangles
- Constructions & Loci

- Angles at Centre & Semicircles
- Chords & Tangents
- Cyclic Quadrilaterals
- Segment Theorems
- Circle Theorem Proofs

- Area & Perimeter
- Problem Solving with Areas

- Area & Circumference of Circles
- Arcs & Sectors

- Volume
- Surface Area

- Congruence
- Similarity
- Geometrical Proof

- Similar Area & Volumes

- Pythagoras Theorem
- Right-Angled Trigonometry
- Exact Trig Values

- Sine & Cosine Rules
- Area of a Triangle
- Applications of Trigonomet

- 3D Pythagoras & Trigonometry

- Introduction to Vectors
- Working with Vectors

- Translations
- Reflections
- Rotations
- Enlargements
- Combination of Transformations

- Basic Probability
- Relative & Expected Frequency

- Two Way Tables
- Frequency Trees
- Set Notation & Venn Diagrams

- Tree Diagrams

- Combined Probability
- Conditional Probability
- Combined Conditional Probabilities

- Mean, Median & Mode
- Averages from Tables
- Range & Quartiles
- Comparing Distributions
- Population & Sampling

- Bar Charts & Pictograms
- Pie Charts
- Time Series Graphs
- Working with Statistical Diagrams

- Histograms

- Cumulative Frequency Diagrams
- Box Plots

- Scatter Graphs

Menu