1. 1-Jun-14Created by Mr. Lafferty Maths Dept. Hourly Rates / Wages Wages / Hourly Rates Wages & Salaries www.mathsrevision.com Weekly / Monthly Wages Annual Salaries Wage Rises Commission Wages Overtime Pay Gross - Deductions = NET pay National 4 NUM 1.2 Harder Commission

2. 1-Jun-14Created by Mr. Lafferty Maths Dept. Starter Questions www.mathsrevision.com National 4 NUM 1.2

3. 1-Jun-14Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.Understand the terms wage and salary. 1.To explain how to calculate wages. 2.Calculate wage / salary given hourly rate. www.mathsrevision.com Wages & Salaries National 4 NUM 1.2

4. 1-Jun-14Created by Mr. Lafferty Maths Dept. Wages / Salary :How much a person is paid to do a job. Can be measured weekly, monthly or annually. www.mathsrevision.com Salaries & Overtime Hourly rate :How much you get paid for an hours work. National 4 NUM 1.2

5. 1-Jun-14Created by Mr. Lafferty Maths Dept. £6.50 x 38 = £247.00Pay is = www.mathsrevision.com Example 1 : Sean the mechanic hourly rate of pay is £6.50. Last week he worked 38 hours. What is his basic pay? Salaries & Overtime National 4 NUM 1.2

6. 1-Jun-14Created by Mr. Lafferty Maths Dept. £10.50 x 40 = £420.00Pay is = www.mathsrevision.com Example 2 : Adam is a joiner his hourly rate of pay is £10.50. He works 40 hours a week. What is his basic pay? Salaries & Overtime National 4 NUM 1.2

7. 1-Jun-14Created by Mr. Lafferty Maths Dept. Now try Ex 1 a Ch 6 (page 64) www.mathsrevision.com Salaries & Overtime National 4 NUM 1.2

8. 1-Jun-14Created by Mr. Lafferty Maths Dept. Starter Questions Q1. Find the value of y when 2y + 6 = 24 Q2. Find the two missing angles Q3.Find two numbers that add give 10 and divide to give 4. www.mathsrevision.com National 4 NUM 1.2

9. 1-Jun-14Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.Understand the term hourly rate. 1.To explain how to work out hourly rates. 2.Calculate hourly rates given the wage and hours worked. www.mathsrevision.com Wages & Salaries National 4 NUM 1.2

10. 1-Jun-14Created by Mr. Lafferty Maths Dept. £200 ÷ 40 = £5.00Hourly rate is = www.mathsrevision.com Example 1 : Nathan the gardener is paid £ 200 a week. He works 40 hours a week. What is his hourly rate? Salaries & Overtime National 4 NUM 1.2

11. 1-Jun-14Created by Mr. Lafferty Maths Dept. £153.60 ÷ 32 = £4.80Pay is = www.mathsrevision.com Example 2 : Chris starts a new job and is promised a hourly rate of £4.90. His wage for the week was £153.60 for 32 hours of work. Was the employers promise true. Salaries & Overtime False ! National 4 NUM 1.2

12. 1-Jun-14Created by Mr. Lafferty Maths Dept. Now try Ex 1 b Ch 6 (page 66) www.mathsrevision.com Salaries & Overtime National 4 NUM 1.2

13. 1-Jun-14Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com National 4 NUM 1.2

14. 1-Jun-14Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.To explain how to work out weekly and monthly wages from annual salary. 1.Calculate weekly and monthly wages from annual salary. www.mathsrevision.com Wages & Salaries National 4 NUM 1.2

15. 1-Jun-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Example 1 : Michael gets an annual salary of £ 30 000. What is his monthly wage. What is his weekly wage. Salaries & Overtime £30 000 ÷ 12 = £ 2 500 Monthly wage: Weekly wage : £30 000 ÷ 52 = £ 576.92 National 4 NUM 1.2

16. 1-Jun-14Created by Mr. Lafferty Maths Dept. Now try Ex 2 a Ch 6 (page 68) www.mathsrevision.com Salaries & Overtime National 4 NUM 1.2

17. 1-Jun-14Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com National 4 NUM 1.2

18. 1-Jun-14Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.Understand the term annual salary. 1.To explain how to work out annual salary / wage. 2.Calculate annual salary. www.mathsrevision.com Wages & Salaries National 4 NUM 1.2

19. 1-Jun-14Created by Mr. Lafferty Maths Dept. Annual Wage / Salary How much a person is paid in a year. www.mathsrevision.com Salaries & Overtime 12 months in a year 52 weeks in a year National 4 NUM 1.2

20. 1-Jun-14Created by Mr. Lafferty Maths Dept. £1 500 x 12 = £ 18 000Annual salary is = www.mathsrevision.com Example 1 : Georgia gets paid £ 1 500 in a month. What is her annual Salary. Salaries & Overtime National 4 NUM 1.2

21. 1-Jun-14Created by Mr. Lafferty Maths Dept. £239 x 52 = £ 12 428Annual Salary = www.mathsrevision.com Example 2 : Caitlin is a shop assistant and gets paid £239 a week. How much is her annual salary. Salaries & Overtime National 4 NUM 1.2

22. 1-Jun-14Created by Mr. Lafferty Maths Dept. £1 100 x 12 = £ 13 200Annual Salary = www.mathsrevision.com Example 3 : A mechanic gets paid £1 100 a month. A bus driver gets paid £260 a week. Who gets the better annual salary. Salaries & Overtime Mechanic : Bus Driver : £260 x 52 = £ 13 520Annual Salary = Bus driver has better annual wage National 4 NUM 1.2

23. 1-Jun-14Created by Mr. Lafferty Maths Dept. Now try Ex 2 b Ch 6 (page 70) www.mathsrevision.com Salaries & Overtime National 4 NUM 1.2

24. 1-Jun-14Created by Mr. Lafferty Maths Dept. Starter Questions www.mathsrevision.com National 4 NUM 1.2

25. 1-Jun-14Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.To explain how to work out new wages after a wage rise. 1.Calculate a percentage rise. www.mathsrevision.com Wages & Salaries 2.Calculate new wages after a percentage rise. National 4 NUM 1.2

26. How to find % of a quantity using a calculator 1-Jun-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Find example Step 1 : Convert % to a decimal of means x Step 3 : Do sum Calculator Keys 4 1 x 4 = 19.2 0 0 8 0 Step 2 : National 4 NUM 1.2

27. 1-Jun-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Example 2 : Rachael earned an annual salary of £ 20 000 last year. She receives a 10% rise this year. What is her new salary. Salaries & Overtime 10 ÷ 100 x £20 000 = £ 2 000 Rise : New salary : £20 000 + £2 000 = £ 22 000 National 4 NUM 1.2

28. 1-Jun-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Example 3 : Kerr earned an annual salary of £ 18 000 last year. He receives a 4% rise this year. What is his new salary. Salaries & Overtime 4 ÷ 1 00 x £18 000 = £ 720 Rise : New salary : £18 000 + £720 = £ 18 720 National 4 NUM 1.2

29. 1-Jun-14Created by Mr. Lafferty Maths Dept. Now try Ex 3 Ch 6 (page 72) www.mathsrevision.com Salaries & Overtime National 4 NUM 1.2

30. 1-Jun-14Created by Mr. Lafferty Maths Dept. Starter Questions Q1. How much should I get if I work 30 hours at a rate of £5 per hour. Q3. Find 25% of 50 Q2. Find the missing angle www.mathsrevision.com 33 o National 4 NUM 1.2

31. 1-Jun-14Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.To explain how to work out wages when commission is involved. 1.Understand the term commission. www.mathsrevision.com Wages & Salaries 2.Calculate wages involving commission. National 4 NUM 1.2

32. 1-Jun-14Created by Mr. Lafferty Maths Dept. Commission :Money earned based on how much you sell. Usual expressed as a percentage. www.mathsrevision.com Salaries & Overtime Write some people who get commission Car sales person Double glazing sales person National 4 NUM 1.2

33. 1-Jun-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Example 1 : Bob sells car. He is paid a commission of 5% on any cars he sells. Last week he sold £ 20 000 worth of cars. How much commission was he paid ? Salaries & Overtime 5 ÷ 1 00 x £20 000 = £ 1 000 Commission : National 4 NUM 1.2

34. 1-Jun-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Example 2 : Henrik gets paid £60 for playing for his local football team. He gets a bonus of £30 for every goal he scores. If he scored a hat-trick in a game. How much was he paid. Salaries & Overtime 60 + 3 x 30 = 60 + 90 = £150 Paid : National 4 NUM 1.2

35. 1-Jun-14Created by Mr. Lafferty Maths Dept. Now try Ex 4 Ch 6 (page 74) www.mathsrevision.com Salaries & Overtime National 4 NUM 1.2

36. 1-Jun-14Created by Mr. Lafferty Maths Dept. Starter Questions Q1. Find value of x when x + 4 = 16 Q3. Find 20 % of 150 Q2. Find two missing angles www.mathsrevision.com 32 o National 4 NUM 1.2

37. 1-Jun-14Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.To explain how to work out wages which include overtime rates. 1.Understand the terms overtime, double time and time and a half. www.mathsrevision.com Wages & Salaries 2.Calculate wages with overtime. National 4 NUM 1.2

38. 1-Jun-14Created by Mr. Lafferty Maths Dept. Overtime :When you do extra work above your basic hours. www.mathsrevision.com Salaries & Overtime You get a better hourly rate for overtime. Write down the two common rates of overtime Double time (x2) Time and a half (x1.5) National 4 NUM 1.2

39. 1-Jun-14Created by Mr. Lafferty Maths Dept. 4 x 2 x £6 = £48.004 hours Overtime is = www.mathsrevision.com Example 1 : Sean the painter works for £6.00 per hour. His overtime rate is Double time. What does he get paid for 4 hours overtime. Salaries & Overtime National 4 NUM 1.2

40. 1-Jun-14Created by Mr. Lafferty Maths Dept. 5 x £8 x 2 = £80.005 hours overtime is = www.mathsrevision.com Example 2 : Jordan the gardener works a basic 40 hours a week. He does 5 hours overtime at double time on Saturday. His hourly rate is £8 per hour. Work out his overtime pay and then his total pay. Salaries & Overtime 40 x £8 = £320.0040 hours basic time is = Total pay is = £320 + £80 = £400 National 4 NUM 1.2

41. 1-Jun-14Created by Mr. Lafferty Maths Dept. 4 x £6 x 1.5 = £36.004 hours overtime is = www.mathsrevision.com Example 3 : Tim the shop assistance works a basic 30 hours a week. He does 4 hours overtime at time and a half on Sunday. His hourly rate is £6 per hour. Work out his overtime pay and then his total pay. Salaries & Overtime 30 x £6 = £180.0030 hours basic time is = Total pay is = £36 + £180 = £216.00 National 4 NUM 1.2

42. 1-Jun-14Created by Mr. Lafferty Maths Dept. Now try Ex 5 Ch 6 (page 76) www.mathsrevision.com Salaries & Overtime National 4 NUM 1.2

43. 1-Jun-14Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com 1.Two numbers add to give 12 and divide to give 3. Find the two numbers. 2. Two numbers subtract to give 5 and multiply to 24. Find the two numbers. 3. Make your own question up. National 4 NUM 1.2

44. 1-Jun-14Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.To explain how to work out NET pay. 1.Understand the terms Gross, Deductions and NET pay. www.mathsrevision.com Wages & Salaries 2.Calculate NET pay. National 4 NUM 1.2

45. 1-Jun-14Created by Mr. Lafferty Maths Dept. Gross Pay:What you are paid by the employer. www.mathsrevision.com Salaries & Overtime Tax National Insurance Deductions:Taken off your wages. Net Pay:Your take home pay. Write down some Pension National 4 NUM 1.2

46. 1-Jun-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Example 1 : Calculate the Net wage for the following : Salaries & Overtime GrossDeductions Net Wage £15 550 £3 400 £13 025 £2 905 £22 430 £5 094 £12 150 £10 120 £17 336 National 4 NUM 1.2

47. 1-Jun-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Example 2 : Calculate the Net wage for this payslip : Salaries & Overtime 704.00 149.00 555.00 National 4 NUM 1.2

48. 1-Jun-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Example 3 : Calculate the Net wage for this payslip : Salaries & Overtime 739.15 207.76 531.39 National 4 NUM 1.2

49. 1-Jun-14Created by Mr. Lafferty Maths Dept. Now try Ex 6 Ch 6 (page 80) www.mathsrevision.com Salaries & Overtime National 4 NUM 1.2

50. 1-Jun-14Created by Mr. Lafferty Maths Dept. Starter Questions Q1. Factorise 3x + 15 Q3. Find 5 % of 150 Q2. Find two missing angles www.mathsrevision.com 32 o National 4 NUM 1.2

51. 1-Jun-14Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.To explain how to work out harder commission problems. 1.Be able to calculate harder commission problems. www.mathsrevision.com Wages & Salaries National 4 NUM 1.2

52. 1-Jun-14Created by Mr. Lafferty Maths Dept. Commission :Money earned based on how much you sell. Usual expressed as a percentage. www.mathsrevision.com Salaries & Overtime Write some people who get commission Car sales person Double glazing sales person National 4 NUM 1.2

53. 1-Jun-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Example 1 : Liam sells double glazing. He is paid a commission of 15% on any windows he sells. Last month he sold £ 30 000 worth of windows. How much commission was he paid ? Salaries & Overtime 15 ÷ 1 00 x £30 000 = £ 4500 Commission : National 4 NUM 1.2

54. 1-Jun-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Example 2 : Caitlin is a door to door cosmetic saleswoman. She gets 7% commission on everything over £500 she sells. During the Christmas period she sold £6500 Worth of products. How much commission was she paid ? Salaries & Overtime £6500 – £ 500 = £ 6000 Value over £ : 7 ÷ 1 00 x £6 000 = £ 420 Commission : National 4 NUM 1.2

55. 1-Jun-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Example 3 : Lewis gets a basic salary of £150 a week plus 5% of the total value of doors he sells. He sold £4000 worth of doors last week. How much did he earn last week ? Salaries & Overtime 5 ÷ 1 00 x £4 000 = £ 200 Commission : £150 + £200 = £ 350 Total wage : National 4 NUM 1.2

56. 1-Jun-14Created by Mr. Lafferty Maths Dept. Now try Extension Booklet 4E (page 25) www.mathsrevision.com Salaries & Overtime National 4 NUM 1.2