Problem solving with decimals Lesson Objectives add and subtract decimals up to two decimal places convert units of measure in the same system solve problems requiring calculation, with common measures, including length and money extract and interpret information from tables, diagrams, charts and graphs

Money Problem Solving Show all your working out – you can use a calculator 1) 4030 people go to a football match. Each ticket costs £4.25. What is the total cost of all the tickets? 2) A person earns £345 per month. What is his annual salary? 3) You pay £558.72 in tax per year. How much do you pay per month in tax?

Money Problem Solving Show all your working out – you can use a calculator 4) Arnie pays £58.50 per week in rent. How much does he pay per year? 5) Sale items were advertised at half price of normal prices. What did it cost in a sale to buy a blouse, skirt and jeans if the normal prices were £17.60, £19.40 and £14.40 respectively?

Metric measures Show all your working out – you can use a calculator 1. Convert the following to centimetres: (a) 5 metres (b) 30 millimetres (c) 270 millimetres 2. Convert the following to millimetres: (a) 21cm (b) 315 cm (c) 4.6 cm 3. Convert the following to metres: (a) 500cm (b) 3km 4. You are fitting kitchen cabinets. The gap for the last cabinet is 80cm. The sizes of the cabinets are shown in millimetres. Which size should you look for? 5. Thirty children in a class each need 20 cm of string for a project. How many metres of string will they use all together?

Choosing a savings account Different accounts have different interest rates. The more money you have – the better the interest rate. You also get better rates if you tie up your money for set periods. TASK Which account/s might you choose if: a) you had £200 and needed instant access to your money b) you had £5000 and needed instant access to your money c) you didn't need instant access and had £750 Newtown Building Society Instant Access Account Up to £500 4.5% £500+ 4.45% £2000+ 5.5% Chrome & Leather Bank Up to £5000 4.03% £5000+ 4.45% £10000+ 6.2% Northford Building Society 60 Day Account Up to £500 5.67% £500+ 5.75% £2000+ 6.30% E-Turnip Bank Online Account Min £500 6.75% £1000 + 7.23% £2500+ 7.50%

Wages A man earns a basic £180 a week, plus £45 in overtime. He pays £26.80 in tax, £5.75 in national insurance, and his pension contribution is £5 for every £100 on his basic pay. What is his net pay for the week? A woman’s basic rate is £6.20 an hour but for weekend working she gets double time. In one week she works 50 hours, of which 12 were at the weekend. How much did he earn that week?

Bank loans……… 1) A man sees a new car priced at £5000. The car dealer asks for ¼ deposit and then 24 monthly instalment of £192. Her bank offers her a loan of £5000 for 24 monthly payments of £235. Which overall payment is cheaper and by how much? 2) A motorbike is on offer at £480 cash but with a special offer of 1/5 deposit and 24 monthly payments of £17. A man asks the bank and they offer a loan of £480 with 24 monthly payments of £22. Which overall payment is cheaper and by how much?

Cost of Credit 1. A second hand car is offered at £3000 cash or by a deposit of 1/5 of the cash price plus 24 monthly payments of £116. Find the hire purchase price and calculate cost of credit. 2. A new drilling machine is on offer at £3999.99 but it can be bought by a deposit £400 and then 24 monthly payment of £170. What is the difference between the cash price and the credit price?

Answers Money problem solving 1) £17127.50 2) £4140 3) £46.56 4) £3042 5) £25.70 Metric measures 1. (a) 500cm (b) 3cm (c) 27cm 2. (a) 210mm (b) 3150mm (c) 46mm 3. (a) 5m (b) 3000m 4. 80mm 5. 6m string Choosing a savings account a) Newtown b) Newtown c) E-Turnip. Wages 1) £225 - (26.80+5.75+9) = 2) (38 x £6.20) + (12 x 12.40) = Bank Loans 1) Dealer : £1250 + (24 x £192) =£5858. Bank: 24 x £235 = £5640 so the bank is cheaper by £218 2) Special offer: £96 + (24 x £17) = £504. Bank: 24 x £22 = £528 so special offer is cheaper by £24 Cost of credit 1) Hire Purchase £600 + ( 24 x £116) = £3384. So the cost of using credit = £384 Credit price of drilling machine = £400 + (24 x £170) = £4480.00 Difference = £4480.00 - £3999.99 = £480.01