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National 4 NUM 1.2. Money. Revision of Percentages. Profit and Loss. Hire Purchase. Building & Contents Insurance. www.mathsrevision.com. Life Insurance. Foreign Exchange. Percentage Profit. National 4 NUM 1.2. Starter Questions. www.mathsrevision.com. Percentages (Revised).
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National 4 NUM 1.2 Money Revision of Percentages Profit and Loss Hire Purchase Building & Contents Insurance www.mathsrevision.com Life Insurance Foreign Exchange Percentage Profit Created by Mr. Lafferty Maths Dept.
National 4 NUM 1.2 Starter Questions www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.
Percentages (Revised) National 4 NUM 1.2 Learning Intention Success Criteria • To know the basic percentages. 1. To revise some basic percentages. • Calculate basic percentage without a calculator. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.
Percentages (Revised) National 4 NUM 1.2 Remember from previous section you know learn these ! www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.
Percentages (Revised) National 4 NUM 1.2 Q. Find 30% of £40 www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.
Percentages (Revised) National 4 NUM 1.2 Q. Find 75% of £600 www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.
Percentages (Revised) National 4 NUM 1.2 Now try Exercise 1 Ch15 (page 180) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.
National 4 NUM 1.2 Q1. 0.5 + 5 x 8 Starter Questions Q2. Multiply out the brackets and simplify www.mathsrevision.com Q3. Created by Mr. Lafferty Maths Dept.
Profit and Loss National 4 NUM 1.2 Learning Intention Success Criteria • To know the meaning of the terms PROFIT and LOSS. • To understand the • terms profit and loss. • Apply knowledge to calculations. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.
National 4 NUM 1.2 Profit and Loss Profit : When you sell something for MORE than you bought it. PROFIT = Selling Price – Buying Price Loss : When you sell something for LESS than you bought it. www.mathsrevision.com LOSS = Buying Price – Selling Price Created by Mr. Lafferty Maths Dept.
National 4 NUM 1.2 Example 1 If I buy a Playstation for £100 and sell it for £120. Profit and Loss I have made a PROFIT of £120-£100 = £20 Example 2 I bought a bunch of flowers for £5.50 and tried to sell them for a profit. But I found it difficult to sell them. I sold them for £4.00 before they went off. www.mathsrevision.com I made a LOSS of £5.50 - £4.00 = £1.50 Created by Mr. Lafferty Maths Dept.
Profit and Loss National 4 NUM 1.2 Now try Ex 2 Ch15 (page 182) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.
Hire Purchase National 4 NUM 1.2 Learning Intention Success Criteria • To know the meaning of the terms HIRE PURCHASE. • To understand the • terms Hire Purchase. • Apply knowledge to calculations. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.
National 4 NUM 1.2 Starter Questions Q1. Expand out 2j (k – 5g + 4jk) Q2. Find all the missing angles 25o www.mathsrevision.com Q3. Created by Mr. Lafferty Maths Dept.
Hire Purchase National 4 NUM 1.2 Hire Purchase : When you pay for goods by putting down a deposit and then paying the rest up in small fixed payments over a period of time. www.mathsrevision.com Normally you pay more for the goods using this method. Created by Mr. Lafferty Maths Dept.
Hire Purchase National 4 NUM 1.2 Buying Products Hoover Cash Price £120 or by H.P. £30 deposit + 12 Payment £8.50 www.mathsrevision.com How much more do you pay by using Hire Purchase Total H.P. price = £30 + 12 x £8.50 = £132 Difference in price = £132 - £120 = £12 Created by Mr. Lafferty Maths Dept.
Loans & Hire Purchase National 4 NUM 1.2 Buying Products Washing Machine Cash Price £365.50 or by H.P. £75 deposit + 12 Payment £28.80 www.mathsrevision.com How much more do you pay by using Hire Purchase Total H.P. price = + 12 x £28.80 = £420.60 £75 Difference in price = £420.60 - £365.50 = £55.10 Created by Mr. Lafferty Maths Dept.
Hire Purchase National 4 NUM 1.2 Now try Ex 3 Ch15 (page 185) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.
National 4 NUM 1.2 Q1. Expand out 2a (a – c + 4ab) Starter Questions Q2. Find the missing angle 22o www.mathsrevision.com Q3. Created by Mr. Lafferty Maths Dept.
House & Contents Insurance National 4 NUM 1.2 Learning Intention Success Criteria • To explain the how to calculate building and contents insurance for a house. • Why we have house building insurance. • 2. Calculate the value of building and content insurance given the value of the house and contents. www.mathsrevision.com Created by Mr. Lafferty Maths Dept
House & Contents Insurance Roof, walls, floor etc... National 4 NUM 1.2 You NEED to buy building insurance in case anything goes wrong with your house. TV, DVD, Washing Machine www.mathsrevision.com It is a good idea to buy content insurance in case your house gets broken into or items breakdown. Created by Mr. Lafferty Maths Dept
House & Contents Insurance National 4 NUM 1.2 www.mathsrevision.com Created by Mr.Lafferty Maths Dept
House & Contents Insurance National 4 NUM 1.2 Example 1 : How much is the House Insurance for a house valued at £40 000. Premium (cost of Insurance) Value £0.73 £1 000 www.mathsrevision.com £40 000 £29.20 Created by Mr. Lafferty Maths Dept
House & Contents Insurance National 4 NUM 1.2 Example 2 : I decided to increase my insurance from £40 000 to £50 000 cover. How much more did it have to pay. Premium (cost of Insurance) Value £0.73 £1 000 www.mathsrevision.com £7.30 more £10 000 Created by Mr. Lafferty Maths Dept
House & Contents Insurance National 4 NUM 1.2 Example : How much for Buildings insurance and contents insurance if a house is valued at £80 000 and contents are valued at £5 000. £58.40 Buildings insurance : www.mathsrevision.com £ 17.85 Contents insurance : Total : £76.25 Created by Mr. Lafferty Maths Dept
Household Insurance National 4 NUM 1.2 Now try Ex 4 Ch15 (page 188) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.
Starter Questions National 4 NUM 1.2 www.mathsrevision.com Created by Mr. Lafferty Maths Dept
Life Insurance National 4 NUM 1.2 Learning Intention Success Criteria • To calculate Life Insurance from a table of values taking account various factors. • 1. Read information from a chart. • 2. Calculate Life Insurance taking in various factors. www.mathsrevision.com Created by Mr.Lafferty Maths Dept
What factors affect the cost of Life Insurance Age, Male or Female, smoker or Non- smoker Life Insurance National 4 NUM 1.2 Table shows monthly premiums. The sum assured is £10000 (with Profits) for the term 20 years. www.mathsrevision.com Created by Mr.Lafferty Maths Dept
Life Insurance National 4 NUM 1.2 Table shows monthly premiums. The sum assured is £10000 (with Profits) for the term 20 years. www.mathsrevision.com Kerry is 25 years old and takes out a fixed term policy. She does not smoke. She wants to leave £150 000 to her dependants should she die. What is her monthly premium and how much will she pay over 20 years. Created by Mr.Lafferty Maths Dept
Life Insurance National 4 NUM 1.2 Monthly premium = 150000 ÷ 10000 x 0.66 = £9.90 Total paid over 20 years = £9.90 x 12 x 20 = £2376 www.mathsrevision.com Created by Mr.Lafferty Maths Dept
Life Insurance National 4 NUM 1.2 Now try Exercise 5 Ch15 (page 191) www.mathsrevision.com Created by Mr.Lafferty Maths Dept
National 4 NUM 1.2 Q1. Expand out 2a (a – c + 4ab) Starter Questions Q2. Find two missing angles 32o Q3. Find y www.mathsrevision.com Q4. The answer is 45. What is the question. Created by Mr. Lafferty Maths Dept.
Foreign Exchange National 4 NUM 1.2 Learning Intention Success Criteria 1. Be able to convert £’s to another currency. • To explain how to convert £’s to another currency and vice versa. • Be able to convert back to £’s. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.
Converting to a foreign currency Currency Exchange £ Foreign currency x exchange rate www.mathsrevision.com Converting back to £’s £ Foreign currency ÷ exchange rate Created by Mr. Lafferty Maths Dept
Foreign Exchange National 4 NUM 1.2 Think going on holiday ! The currency in most of Europe is the euro € The exchange rate is approximately £ 1 1.54 € www.mathsrevision.com Converting £’s to Euros € simply multiply (a) To change £80 to euros 80 x 1.54 = 123.20 € Created by Mr. Lafferty Maths Dept.
Foreign Exchange National 4 NUM 1.2 Now try Ex 6 Q1 to Q5 Ch15 (page 193) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.
Foreign Exchange National 4 NUM 1.2 Coming back from holiday we want to do the opposite i.e. euros to £’s Think back from holiday ! The exchange rate is approximately £ 1 1.54 € www.mathsrevision.com Converting Euros €’s to £’s simply divide To change 616 € to £’s 616 ÷ 1.54 = £400 Created by Mr. Lafferty Maths Dept.
Foreign Exchange National 4 NUM 1.2 Now try Ex 6 Q6 to Q12 Ch15 (page 194) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.
National 4 NUM 1.2 Starter Questions www.mathsrevision.com 10cm 8cm Created by Mr. Lafferty Maths Dept.
Calculating Percentages Percentage Increase / Decrease National 4 NUM 1.2 Learning Intention Success Criteria • To understand how to calculate percentage increase / decrease. • To understand how to calculatepercentage increase / decrease. www.mathsrevision.com • Solve problems in context. Created by Mr. Lafferty Maths Dept.
Calculating Percentages Percentage Increase / Decrease National 4 NUM 1.2 Example 1 : Daniel was paid £20 per week. He got a wage rise to £22 per week. What was his percentage increase in pay ? Actual Increase = £22 - £20 = £2 www.mathsrevision.com % increase = Created by Mr. Lafferty Maths Dept.
Calculating Percentages Percentage Increase / Decrease National 4 NUM 1.2 Example 1 A shopkeeper buys crisps for 20p each. He sells them for 28p. What is his percentage profit? www.mathsrevision.com Actual Increase = 28p – 20p = 8p % increase = Created by Mr. Lafferty Maths Dept.
Percentage Profit National 4 NUM 1.2 Now try Extension Booklet 2E (page 79) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.