Lesson 7 Exchange Rates and
Conversion graphs.
Mathswatch 64
GCSE Maths Starter 7
1) Find the median and range
of the stem and leaf below.
5. Which of the shapes
below are congruent?
A
C
2. Expand x(x + 3)
3. Evaluate 32.9 x 17 (no calc)
4. Increase $72 by 15% (no calc)
D
E
Lesson 7 Exchange Rates and
Conversion graphs.
Mathswatch 64
• To interpret conversion graphs.
• To calculate the conversion between two
types of units.
• To solve problems involving conversions.
EXTN: To establish best value using conversion of
units. (Grade C)
Lesson 7 Exchange Rates and
Conversion graphs.
Mathswatch 64
Why would you convert currency?
Lesson 7 Exchange Rates and
Conversion graphs.
Mathswatch 64
What is an exchange rate?
Lesson 7 Exchange Rates and
Conversion graphs.
Mathswatch 64
I know £1 = ฿43.56 (Thai Baht) what would I do
X 43.56
to find how much £100 is?
£100 x 43.56 Baht
= 4356 Baht
£1 =
฿43.56
So to convert between £
and ฿ you need to x 43.56
Convert the following amounts to Thai Baht.
a) £10
b) £50
c) £135
X 43.56
435.60 Baht
X 43.56
2178 Baht
X 43.56
5880.60 Baht
Lesson 7 Exchange Rates and
Conversion graphs.
Mathswatch 64
I know £1 = ฿43.56 (Thai Baht) how would I work
out how many pounds, 1000 Baht is?
÷ 43.56
1000 Baht ÷ 43.56
= £22.95684114
= £22.96
£1 =
฿43.56
So to convert between £
and ฿ you need to ÷ 43.56
Convert the following amounts to British Pounds (GBP).
a) 200 Baht
÷ 43.56
£4.59
b) 1400 Baht c) 70 Baht
÷ 43.56
£32.14
÷ 43.56
£1.61
New York, USA
£1 = $1.51
I now take my family to New York. I
convert £350 to US Dollars.
a) Calculate how many US dollars I
have?
350 x 1.51 = $528.50
b) I spend $276 on my visit to New
York and return to England. I
convert my remaining money to
Pounds. Calculate the remaining to
GPB (£)?
$528.50 - $276 = 252.50 252.50 ÷ 1.51 = £167.22
Sydney, Australia
£1 = $1.45
I now take my family to Sydney. I
convert £1200 to Australian Dollars.
a) Convert £1200 to Aussie Dollars?
1200 x 1.45 = $1740
b) I spend $1476 Dollars whilst in
Sydney. I convert the remaining
currency back to Pounds. How many
pounds and pence do I have?
$1740 - $1476 = $ 264
$264 ÷ 1.45 = £182.07
In the UK, petrol cost £1.24 per litre.
In the USA, petrol cost 3.15 dollars per US gallon.
1 US Gallon = 3.79 Litres
£1 = $1.51
UK or USA? Show why?
Lesson 7 Exchange Rates and
Conversion graphs.
Mathswatch 64
In the UK petrol is £1.24 per litre.
1.24 x 1.51 = $1.87 per litre (convert to US
dollars)
In the US Petrol is $3.15 per gallon
3.15 ÷ 3.79 = $0.83 per litre
So we see that petrol is cheaper in the US
Lesson 7 Exchange Rates and
Conversion graphs.
EXAMPLES
1)
Mathswatch 64
2)
154 lbs
137 litres
88
gallons
54 kg
Use the conversion graph to convert:
(a) 70 kg to pounds 154 pounds
(b) 120 pounds to kg 54 kg
Use the conversion graph to convert:
(a) 30 gallons to litres 137 litres
(b) 400 litres to gallons 88 gallons
Lesson 7 Exchange Rates and
Conversion graphs.
Mathswatch 64
1)
10cm
23cm
2in
8.75in
2.5cm
Read off the value for 9in (23cm)
and multiply this by 2 (46cm)
Lesson 7 Exchange Rates and
Conversion graphs.
Mathswatch 64
Lesson 7 Exchange Rates and
Conversion graphs.
Mathswatch 64
• To interpret conversion graphs.
• To calculate the conversion between two
types of units.
• To solve problems involving conversions.
EXTN: To establish best value using conversion of
units. (Grade C)