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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)