2. Whiteboardmaths.com © 2008 All rights reserved 5 7 2 1

3. Guidance Notes for Teachers Some indication of content and range at level 1 and 2 is shown on the next slide. Relevant slides show all the diagrams/questions/answers that are required. End slides have student question sheets and a teacher question/answer sheet. End slides have printable worksheets for students. Calculator symbols are suggestions only and could be removed depending on the group. The vast majority of questions in this presentation are designed to be non- calculator. Note that prices are for 2008. You will need to decide whether you happy to use these prices or alter them each year. Generic Advice: The preparation below is advisable in the majority of presentations. 1.Print off the teacher question and answer sheets/worksheets 2.Print off the student question sheets/worksheets 3.Run through the presentation yourself answering the questions 4.Decide how you are going to deliver the presentation. (a) Are you going to go through it from start to finish with the class, perhaps using it as an example/demonstration of functional maths and focusing on the development of the processing skills involved at each stage? (b) Are you going to use only part of the presentation? (c) Are you simply going to use the presentation to introduce the activity and let the class work on their own through the question sheets but refer to some of the elements/answers within the presentation when needed? 5.Remember the slides are editable so if you wish to introduce an open question/small investigation of your own then simply choose the relevant slide add/delete your own text (using a text box if needed).

4. Content and Skills Coverage and range: Level 1 Understand and use whole numbers and recognise negative numbers in practical contexts Add, subtract, multiply and divide using a range of mental methods Multiply and divide whole numbers by 10 and 100 using mental arithmetic Understand and use equivalences between common fractions, decimals and percentages Add and subtract decimal up to two decimal places Solve simple problems involving ratio, where one number is a multiple of the other Use simple formulae expressed in words for one- or two-step operations Solve problems requiring calculation with common measures including money, time, length, weight, capacity and temperature Convert units of measure in the same system Work out areas, perimeters and volumes in practical situations Construct models and draw shapes, measuring and drawing angles and identifying line symmetry Extract and interpret information from tables, diagrams, charts and graphs Collect and record discrete data and organise and represent information in different ways Find mean and range Use probability to show that some events are more likely to occur than others Understand outcomes, check calculations and explain results Understand and use positive and negative numbers of any size in practical contexts Carry out calculations with numbers of any size in practical contexts Understand, use and calculate ratio and proportion, including problems involving scale Understand and use equivalences between fractions, decimals and percentages Add and subtract fractions; add, subtract, multiply and divide decimals to a given number of decimal places Understand and use simple equations and simple formulae involving one- or two-step operations *Recognise and use 2D representations of 3D objects. Find area, perimeter and volume of common shapes Use, convert and calculate using metric and, where appropriate, imperial measures Collect and represent discrete and continuous data, using ICT where appropriate Use and interpret statistical measures, tables and diagrams, for discrete and continuous data using ICT where appropriate Use statistical methods to investigate situations Use a numerical scale from 0 to 1 to express and compare probabilities Title: Letters, Packets and Parcels Content and skills covered Coverage and range: Level 2 At least 1 from each area

5. What mathematics might be involved in the posting of letters, parcels and packages?

6. Size Guide 3 Packet > 353mm long or > 250 mm wide or > 25mm thick or > 750g 2 Large Letter 25 mm MAXIMUM THICKNESS 353 x 250 mm max max weight 750g ≤ 1 st Class 2 nd Class Letter 100g£0.36£0.27 Large Letter 100g£0.52£0.42 250g£0.78£0.66 500g£1.08£0.90 750g£1.57£1.31 Packet 100g£1.14£0.95 250g£1.45£1.24 500g£1.94£1.63 750g£2.51£2.08 1kg£3.08£2.49 1.25kg£4.30n/a 1.5kg£5.00n/a 1.75kg£5.70n/a 2kg£6.40n/a 4kg£8.22n/a The cost of posting a letter with Royal Mail depends on both its size and weight. Letters are classified under three headings: Letter, Large Letter and Packet. 1 Letter 240 x 165 mm max max weight 100g 5 mm MAXIMUM THICKNESS  PLACE CORNER OF ITEM HERE Note that the widths of these letters will fit through the respective gaps. Prices as at September 2008

7. 3 Packet > 353mm long or > 250 mm wide or > 25mm thick or > 750g 2 Large Letter 25 mm MAXIMUM THICKNESS 353 x 250 mm max max weight 750g Determine whether the following items are Letter, Large Letter or Packet. 1 Letter 240 x 165 mm max max weight 100g 5 mm MAXIMUM THICKNESS  PLACE CORNER OF ITEM HERE Q1:I am 2 mm thick and weigh 60g Letter

8. 3 Packet > 353mm long or > 250 mm wide or > 25mm thick or > 750g 2 Large Letter 25 mm MAXIMUM THICKNESS 353 x 250 mm max max weight 750g Determine whether the following items are Letter, Large Letter or Packet. 1 Letter 240 x 165 mm max max weight 100g 5 mm MAXIMUM THICKNESS  PLACE CORNER OF ITEM HERE Q2: I am 4 mm thick and weigh 105g Large Letter

9. 3 Packet > 353mm long or > 250 mm wide or > 25mm thick or > 750g 2 Large Letter 25 mm MAXIMUM THICKNESS 353 x 250 mm max max weight 750g Determine whether the following items are Letter, Large Letter or Packet. 1 Letter 240 x 165 mm max max weight 100g 5 mm MAXIMUM THICKNESS  PLACE CORNER OF ITEM HERE Q3: I am 5 mm thick and weigh 100g Letter

10. 3 Packet > 353mm long or > 250 mm wide or > 25mm thick or > 750g 2 Large Letter 25 mm MAXIMUM THICKNESS 353 x 250 mm max max weight 750g Determine whether the following items are Letter, Large Letter or Packet. 1 Letter 240 x 165 mm max max weight 100g 5 mm MAXIMUM THICKNESS  PLACE CORNER OF ITEM HERE Q4: I am 5 mm thick and weigh 25g Large Letter

11. 3 Packet > 353mm long or > 250 mm wide or > 25mm thick or > 750g 2 Large Letter 25 mm MAXIMUM THICKNESS 353 x 250 mm max max weight 750g Determine whether the following items are Letter, Large Letter or Packet. 1 Letter 240 x 165 mm max max weight 100g 5 mm MAXIMUM THICKNESS  PLACE CORNER OF ITEM HERE Q5: I am 30 mm thick and weigh 450g Packet

12. 3 > 353mm long or > 250 mm wide or > 25mm thick or > 750g 2 Large Letter 25 mm MAXIMUM THICKNESS 353 x 250 mm max max weight 750g Determine whether the following items are Letter, Large Letter or Packet. 1 Letter 240 x 165 mm max max weight 100g 5 mm MAXIMUM THICKNESS  PLACE CORNER OF ITEM HERE Q6: I am 22 mm thick and weigh 600g Large Letter

13. 3 Packet > 353mm long or > 250 mm wide or > 25mm thick or > 750g 2 Large Letter 25 mm MAXIMUM THICKNESS 353 x 250 mm max max weight 750g Determine whether the following items are Letter, Large Letter or Packet. 1 Letter 240 x 165 mm max max weight 100g 5 mm MAXIMUM THICKNESS  PLACE CORNER OF ITEM HERE Q7: I am 3 mm thick and weigh 85g Packet

14. 3 > 353mm long or > 250 mm wide or > 25mm thick or > 750g 2 Large Letter 25 mm MAXIMUM THICKNESS 353 x 250 mm max max weight 750g Determine whether the following items are Letter, Large Letter or Packet. 1 Letter 240 x 165 mm max max weight 100g 5 mm MAXIMUM THICKNESS  PLACE CORNER OF ITEM HERE Q8: I weigh 725g Packet

15. Postage Costs 3 Packet > 353mm long or > 250 mm wide or > 25mm thick or > 750g 2 Large Letter 25 mm MAXIMUM THICKNESS 353 x 250 mm max max weight 750g Find/calculate the postage costs for the following: 1 Letter 240 x 165 mm max max weight 100g 5 mm MAXIMUM THICKNESS  PLACE CORNER OF ITEM HERE ≤ 1 st Class 2 nd Class Letter 100g£0.36£0.27 Large Letter 100g£0.52£0.42 250g£0.78£0.66 500g£1.08£0.90 750g£1.57£1.31 Packet 100g£1.14£0.95 250g£1.45£1.24 500g£1.94£1.63 750g£2.51£2.08 1kg£3.08£2.49 1.25kg£4.30n/a 1.5kg£5.00n/a 1.75kg£5.70n/a 2kg£6.40n/a 4kg£8.22n/a 9. A 2nd class letter *10. Three 1 st class letters 11. A 2nd class large letter (250g) 27 p £1.08 p 66 p * Prices as at September 2008

16. 3 Packet > 353mm long or > 250 mm wide or > 25mm thick or > 750g 2 Large Letter 25 mm MAXIMUM THICKNESS 353 x 250 mm max max weight 750g Find/calculate the postage costs for the following: 1 Letter 240 x 165 mm max max weight 100g 5 mm MAXIMUM THICKNESS  PLACE CORNER OF ITEM HERE ≤ 1 st Class 2 nd Class Letter 100g£0.36£0.27 Large Letter 100g£0.52£0.42 250g£0.78£0.66 500g£1.08£0.90 750g£1.57£1.31 Packet 100g£1.14£0.95 250g£1.45£1.24 500g£1.94£1.63 750g£2.51£2.08 1kg£3.08£2.49 1.25kg£4.30n/a 1.5kg£5.00n/a 1.75kg£5.70n/a 2kg£6.40n/a 4kg£8.22n/a 12.A 2nd class 400g large letter 13.A 1600g packet 1 st class *14.Five 1.9 kg packets £32.00 £5.70 p 90p * Prices as at September 2008

17. 3 Packet > 353mm long or > 250 mm wide or > 25mm thick or > 750g 2 Large Letter 25 mm MAXIMUM THICKNESS 353 x 250 mm max max weight 750g Find/calculate the postage costs for the following: 1 Letter 240 x 165 mm max max weight 100g 5 mm MAXIMUM THICKNESS  PLACE CORNER OF ITEM HERE ≤ 1 st Class 2 nd Class Letter 100g£0.36£0.27 Large Letter 100g£0.52£0.42 250g£0.78£0.66 500g£1.08£0.90 750g£1.57£1.31 Packet 100g£1.14£0.95 250g£1.45£1.24 500g£1.94£1.63 750g£2.51£2.08 1kg£3.08£2.49 1.25kg£4.30n/a 1.5kg£5.00n/a 1.75kg£5.70n/a 2kg£6.40n/a 4kg£8.22n/a *15. Six 1 st class letters, two 2 nd class 500g large letters and four 3kg packets. £36.84 p * Prices as at September 2008

18. 3 Packet > 353mm long or > 250 mm wide or > 25mm thick or > 750g 2 Large Letter 25 mm MAXIMUM THICKNESS 353 x 250 mm max max weight 750g 1 Letter 240 x 165 mm max max weight 100g 5 mm MAXIMUM THICKNESS  PLACE CORNER OF ITEM HERE ≤ 1 st Class 2 nd Class Letter 100g£0.36£0.27 Large Letter 100g£0.52£0.42 250g£0.78£0.66 500g£1.08£0.90 750g£1.57£1.31 Packet 100g£1.14£0.95 250g£1.45£1.24 500g£1.94£1.63 750g£2.51£2.08 1kg£3.08£2.49 1.25kg£4.30n/a 1.5kg£5.00n/a 1.75kg£5.70n/a 2kg£6.40n/a 4kg£8.22n/a *16. What is the difference in postage costs between a 1 st class and a 2 nd class letter? 9p * Prices as at September 2008

19. 3 Packet > 353mm long or > 250 mm wide or > 25mm thick or > 750g 2 Large Letter 25 mm MAXIMUM THICKNESS 353 x 250 mm max max weight 750g 1 Letter 240 x 165 mm max max weight 100g 5 mm MAXIMUM THICKNESS  PLACE CORNER OF ITEM HERE ≤ 1 st Class 2 nd Class Letter 100g£0.36£0.27 Large Letter 100g£0.52£0.42 250g£0.78£0.66 500g£1.08£0.90 750g£1.57£1.31 Packet 100g£1.14£0.95 250g£1.45£1.24 500g£1.94£1.63 750g£2.51£2.08 1kg£3.08£2.49 1.25kg£4.30n/a 1.5kg£5.00n/a 1.75kg£5.70n/a 2kg£6.40n/a 4kg£8.22n/a *17. What is the difference in postage cost between a 1 st class and a 2 nd class 900g packet? 59p * Prices as at September 2008

20. 3 Packet > 353mm long or > 250 mm wide or > 25mm thick or > 750g 2 Large Letter 25 mm MAXIMUM THICKNESS 353 x 250 mm max max weight 750g 1 Letter 240 x 165 mm max max weight 100g 5 mm MAXIMUM THICKNESS  PLACE CORNER OF ITEM HERE ≤ 1 st Class 2 nd Class Letter 100g£0.36£0.27 Large Letter 100g£0.52£0.42 250g£0.78£0.66 500g£1.08£0.90 750g£1.57£1.31 Packet 100g£1.14£0.95 250g£1.45£1.24 500g£1.94£1.63 750g£2.51£2.08 1kg£3.08£2.49 1.25kg£4.30n/a 1.5kg£5.00n/a 1.75kg£5.70n/a 2kg£6.40n/a 4kg£8.22n/a *18. What is the difference in postage cost between a 1 st class and a 2 nd class 750g large letter? 26p * Prices as at September 2008

21. 3 Packet > 353mm long or > 250 mm wide or > 25mm thick or > 750g 2 Large Letter 25 mm MAXIMUM THICKNESS 353 x 250 mm max max weight 750g 1 Letter 240 x 165 mm max max weight 100g 5 mm MAXIMUM THICKNESS  PLACE CORNER OF ITEM HERE ≤ 1 st Class 2 nd Class Letter 100g£0.36£0.27 Large Letter 100g£0.52£0.42 250g£0.78£0.66 500g£1.08£0.90 750g£1.57£1.31 Packet 100g£1.14£0.95 250g£1.45£1.24 500g£1.94£1.63 750g£2.51£2.08 1kg£3.08£2.49 1.25kg£4.30n/a 1.5kg£5.00n/a 1.75kg£5.70n/a 2kg£6.40n/a 4kg£8.22n/a *19. What proportion of the cost of a 1 st class letter is the cost of a second class letter. Express this as: (a) A Fraction (b) A Decimal (c) A Percentage ¾ 0.7575% * Prices as at September 2008

22. 3 Packet > 353mm long or > 250 mm wide or > 25mm thick or > 750g 2 Large Letter 25 mm MAXIMUM THICKNESS 353 x 250 mm max max weight 750g 1 Letter 240 x 165 mm max max weight 100g 5 mm MAXIMUM THICKNESS  PLACE CORNER OF ITEM HERE ≤ 1 st Class 2 nd Class Letter 100g£0.36£0.27 Large Letter 100g£0.52£0.42 250g£0.78£0.66 500g£1.08£0.90 750g£1.57£1.31 Packet 100g£1.14£0.95 250g£1.45£1.24 500g£1.94£1.63 750g£2.51£2.08 1kg£3.08£2.49 1.25kg£4.30n/a 1.5kg£5.00n/a 1.75kg£5.70n/a 2kg£6.40n/a 4kg£8.22n/a *20. What is the ratio of the cost of a 1 st class letter to the cost of a second class letter? 4:3 * Prices as at September 2008

23. 3 Packet > 353mm long or > 250 mm wide or > 25mm thick or > 750g 2 Large Letter 25 mm MAXIMUM THICKNESS 353 x 250 mm max max weight 750g 1 Letter 240 x 165 mm max max weight 100g 5 mm MAXIMUM THICKNESS  PLACE CORNER OF ITEM HERE ≤ 1 st Class 2 nd Class Letter 100g£0.36£0.27 Large Letter 100g£0.52£0.42 250g£0.78£0.66 500g£1.08£0.90 750g£1.57£1.31 Packet 100g£1.14£0.95 250g£1.45£1.24 500g£1.94£1.63 750g£2.51£2.08 1kg£3.08£2.49 1.25kg£4.30n/a 1.5kg£5.00n/a 1.75kg£5.70n/a 2kg£6.40n/a 4kg£8.22n/a *21. What is the ratio of the cost of a 2 nd class 500g large letter to the cost of a 1 st class 500g large letter? 5:6 * Prices as at September 2008

24. 3 Packet > 353mm long or > 250 mm wide or > 25mm thick or > 750g 2 Large Letter 25 mm MAXIMUM THICKNESS 353 x 250 mm max max weight 750g 1 Letter 240 x 165 mm max max weight 100g 5 mm MAXIMUM THICKNESS  PLACE CORNER OF ITEM HERE ≤ 1 st Class 2 nd Class Letter 100g£0.36£0.27 Large Letter 100g£0.52£0.42 250g£0.78£0.66 500g£1.08£0.90 750g£1.57£1.31 Packet 100g£1.14£0.95 250g£1.45£1.24 500g£1.94£1.63 750g£2.51£2.08 1kg£3.08£2.49 1.25kg£4.30n/a 1.5kg£5.00n/a 1.75kg£5.70n/a 2kg£6.40n/a 4kg£8.22n/a *22. How much would a 500g 2 nd class large letter cost if the price changed as follows: (nearest penny) (a) + 10% (b) – 5% (c) + 15% 99p 86p£1.04 * Prices as at September 2008

25. 3 Packet > 353mm long or > 250 mm wide or > 25mm thick or > 750g 2 Large Letter 25 mm MAXIMUM THICKNESS 353 x 250 mm max max weight 750g Q23: Christine is posting a 2 nd class letter containing a single A4 sheet of paper 297 mm x 210 mm (5g). What advice would you give her about envelopes? 1 Letter 240 x 165 mm max max weight 100g 5 mm MAXIMUM THICKNESS  PLACE CORNER OF ITEM HERE ≤ 1 st Class 2 nd Class Letter 100g£0.36£0.27 Large Letter 100g£0.52£0.42 250g£0.78£0.66 500g£1.08£0.90 750g£1.57£1.31 Packet 100g£1.14£0.95 250g£1.45£1.24 500g£1.94£1.63 750g£2.51£2.08 1kg£3.08£2.49 1.25kg£4.30n/a 1.5kg£5.00n/a 1.75kg£5.70n/a 2kg£6.40n/a 4kg£8.22n/a Fold it in half to A5, put it in a C5 envelope and save 15p. * Prices as at September 2008

26. 3 Packet > 353mm long or > 250 mm wide or > 25mm thick or > 750g 2 Large Letter 25 mm MAXIMUM THICKNESS 353 x 250 mm max max weight 750g *Q24: What is the maximum length of a letter in centimetres? 1 Letter 240 x 165 mm max max weight 100g 5 mm MAXIMUM THICKNESS  PLACE CORNER OF ITEM HERE *Q25: What is the maximum length of a large letter in centimetres? 24 cm 35.3cm 1 inch  2.5 cm *Q26: Work out the maximum width of a large letter in inches. *Q27: Work out the maximum thickness of a large letter in inches. 10 inches 1 inch *Q28: Work out the maximum thickness of a letter in inches. 0.2 inches *

27. 3 Packet > 353mm long or > 250 mm wide or > 25mm thick or > 750g 2 Large Letter 25 mm MAXIMUM THICKNESS 353 x 250 mm max max weight 750g 1 Letter 240 x 165 mm max max weight 100g 5 mm MAXIMUM THICKNESS  PLACE CORNER OF ITEM HERE *Q29: What is the maximum weight in pounds for posting a letter? 0.22 lbs 1 kg  2.2 lbs * *Q30: What is the maximum weight in pounds for posting a large letter? 1.65 lbs *Q31: What is the maximum weight in pounds for posting a 4 kg packet? 8 lbs

28. Parcels 3 Packet > 353mm long or > 250 mm wide or > 25mm thick or > 750g 2 Large Letter 25 mm MAXIMUM THICKNESS 353 x 250 mm max max weight 750g ≤ 1 st Class 2 nd Class Letter 100g£0.36£0.27 Large Letter 100g£0.52£0.42 250g£0.78£0.66 500g£1.08£0.90 750g£1.57£1.31 Packet 100g£1.14£0.95 250g£1.45£1.24 500g£1.94£1.63 750g£2.51£2.08 1kg£3.08£2.49 1.25kg£4.30n/a 1.5kg£5.00n/a 1.75kg£5.70n/a 2kg£6.40n/a 4kg£8.22n/a For larger more bulky items/parcels Royal Mail provide a STANDARD PARCEL service. 1 Letter 240 x 165 mm max max weight 100g 5 mm MAXIMUM THICKNESS  PLACE CORNER OF ITEM HERE Prices as at September 2008

29. SENDING A PARCEL Size and Weight Restrictions Maximum Weight: 30kg Maximum *Length: 1.5m Maximum Combined Length + Girth: 3m 80 cm Girth 65 cm Length + girth = 1.45 m 1m 0.6m 0.4m Length + girth = 1 + 2(0.6 + 0.4) = 3m the maximum allowed. NOT TO SCALE Irregular package Regular package (cuboid shaped) *Length is the longest dimension

30. SENDING A PARCEL Size and Weight Restrictions Maximum Weight: 30kg Maximum Length: 1.5m Maximum Combined Length + Girth: 3m ParcelLengthWidth 190 cm40 cm 2110 cm30 cm 380 cm70 cm 495 cm80 cm 5160 cm30 cm 650 cm40 cm Height 30 cm 25 cm 60 cm 20 cm 30 cm Weight 18kg 12 kg 22 kg 10 kg 28 kg 40 kg *Q 32: Decide which of the six parcels shown in the table above are within the size and weight restrictions. For those that are not give a reason.  L+G> 3  W > 30 *

31. SENDING A PARCEL Size and Weight Restrictions Maximum Weight: 30kg Maximum Length: 1.5m Maximum Combined Length + Girth: 3m *Q 33: Each of the boxes shown are at the maximum allowable limit under the length restriction. Calculate the missing dimension in each case. 140 cm 50 cm h 30 cm 70 cm L 120 cm 90 cm 45 cm w 60 cm 1. 2. 3. 4. x cm 60 cm NOT TO SCALE * 20 cm

32. SENDING A PARCEL Size and Weight Restrictions Maximum Weight: 30kg Maximum Length: 1.5m Maximum Combined Length + Girth: 3m Q 34: Many items can be sent through the post in cylindrical tubes. Calculate the maximum diameters (d) to the nearest cm for each of the tubes shown. 1. 2. 3. 100 cm d cm 63 cm 150 cm 47 cm NOT TO SCALE 125 cm 55 cm *

33. Costs Parcel Costs £11£15 £12£17 £13£17 £16£20 £17£21 £18£23 £19£24 £20£25 £21£26 £22£27 6 kg£21 £23 £24 £26 £28 £29 £31 £33 £35 £37 £38 £40 £42 £43 £45 £47 £43 £45 £47 £49 £52 £54 £56 8 kg 10 kg 11 kg 12 kg 13 kg 14 kg 15 kg 16 kg 17 kg £23£29 £24£30 £25£31 £34 £36 £37 £49 £50 £52 £58 £60 £62 18 kg 19 kg 20 kg By 9:00 By 10:00 By 12:00 ≤24 hours ≤48 hours Max Weight Use the table to find/ calculate the following: * All prices rounded to nearest £. (September 2008) Q 35: A small business want to delivery an 18 kg parcel so that it arrives by 9 am tomorrow. How much will it cost? £58 Q 36: Sarah wants to deliver a birthday present to a friend in Southampton. It only weighs 8 kg but she wants it to arrive within 24 hours. How much will it cost her? £17 *Q 37: Craig needs to get a 3 x 15 kg parcels to Milton Keynes within 48 hours. How much will this cost? £60 *

34. Parcel Costs £11£15 £12£17 £13£17 £16£20 £17£21 £18£23 £19£24 £20£25 £21£26 £22£27 6 kg£21 £23 £24 £26 £28 £29 £31 £33 £35 £37 £38 £40 £42 £43 £45 £47 £43 £45 £47 £49 £52 £54 £56 8 kg 10 kg 11 kg 12 kg 13 kg 14 kg 15 kg 16 kg 17 kg £23£29 £24£30 £25£31 £34 £36 £37 £49 £50 £52 £58 £60 £62 18 kg 19 kg 20 kg By 9:00 By 10:00 By 12:00 ≤24 hours ≤48 hours Max Weight Use the table to find calculate the following: * All prices rounded to nearest £. (September 2008) *Q 38: What is the range in costs for sending a 15 kg parcel? £32 *Q 39: What is the modal cost off getting a parcel delivered (for all weights) by Noon next day? £21 *Q 40: What is the median cost (for all weights) of getting a parcel delivered by 10 am next day. £42 *Q 41: What is the mean cost of posting a 6 kg parcel? £25 *Q 42: It is 40% cheaper to deliver a 19 kg parcel by noon rather than by 9 am the next day> True or false? True *

35. Teacher Q + A Q1:I am 2 mm thick and weigh 60g Q2: I am 4 mm thick and weigh 105g Q3: I am 5 mm thick and weigh 100g Q4: I am 5 mm thick and weigh 25g Q5: I am 30 mm thick and weigh 450g Q6: I am 22 mm thick and weigh 600g Q7: I am 3 mm thick and weigh 85g Q8: I weigh 725g Teacher Q + A Letter Large Letter Letter Large Letter Packet 9. A 2nd class letter *10. Three 1 st class letters 11. A 2nd class large letter (250g) 27 p £1.08 p 66 p 12.A 2nd class 400g large letter 13.A 1600g packet 1 st class *14.Five 1.9 kg packets £32.00 £5.70 90p *15. Six 1 st class letters, two 2 nd class 500g large letters and four 3kg packets. £36.84 p *16. What is the difference in postage costs between a 1 st class and a 2 nd class letter? 9p *17. What is the difference in postage cost between a 1 st class and a 2 nd class 900g packet? 59p *18. What is the difference in postage cost between a 1 st class and a 2 nd class 750g large letter? 26p *19. What proportion of the cost of a 1 st class letter is the cost of a second class letter. Express this as: (a) A Fraction (b) A Decimal (c) A Percentage ¾0.7575% *20. What is the ratio of the cost of a 1 st class letter to the cost of a second class letter? 4:3

36. *21. What is the ratio of the cost of a 2 nd class 500g large letter to the cost of a 1 st class 500g large letter? 5:6 *22. How much would a 500g 2 nd class large letter cost if the price changed as follows: (nearest penny) (a) + 10% (b) – 5% (c) + 15% 99p86p£1.04 Q23: Christine is posting a 2 nd class letter containing a single A4 sheet of paper 297 mm x 210 mm (5g). What advice would you give her about envelopes? *Q24: What is the maximum length of a letter in centimetres? *Q25: What is the maximum length of a large letter in centimetres? 24 cm 35.3cm *Q26: Work out the maximum width of a large letter in inches. 10 inches Fold it in half to A5, put it in a C5 envelope and save 15p. *Q29: What is the maximum weight in pounds for posting a letter? 0.22 lbs *Q30: What is the maximum weight in pounds for posting a large letter? 1.65 lbs *Q31: What is the maximum weight in pounds for posting a 4 kg packet? 8 lbs *Q24: What is the maximum length of a letter in centimetres? *Q25: What is the maximum length of a large letter in centimetres? 24 cm 35.3cm *Q26: Work out the maximum width of a large letter in inches. 10 inches *Q27: Work out the maximum thickness of a large letter in inches. 1 inch *Q28: Work out the maximum thickness of a letter in inches. 0.2 inches *Q 32: Decide which of the six parcels shown in the table above are within the size and weight restrictions. For those that are not give a reason. See Worksheet + SL 29 *Q 33: Each of the boxes shown are at the maximum allowable limit under the length restriction. Calculate the missing dimension in each case. See worksheet + SL 30 Q 34: Many items can be sent through the post in cylindrical tubes. Calculate the maximum diameters (d) to the nearest cm for each of the tubes shown. See Worksheet + SL 31

37. Q 35: A small business want to delivery an 18 kg parcel so that it arrives by 9 am tomorrow. How much will it cost? £58 Q 36: Sarah wants to deliver a birthday present to a friend in Southampton. It only weighs 8 kg but she wants it to arrive within 24 hours. How much will it cost her? *Q 37: Craig needs to get a 3 x 15 kg parcels to Milton Keynes within 48 hours. How much will this cost? £60 £17 *Q 38: What is the range in costs for sending a 15 kg parcel? £32 *Q 39: What is the modal cost off getting a parcel delivered (for all weights) by Noon next day? £21 *Q 40: What is the median cost (for all weights) of getting a parcel delivered by 10 am next day. *Q 41: What is the mean cost of posting a 6 kg parcel? £25 *Q 42: It is 40% cheaper to deliver a 19 kg parcel by noon rather than by 9 am the next day> True or false? True £42

38. Student Questions Q1:I am 2 mm thick and weigh 60g Q2: I am 4 mm thick and weigh 105g Q3: I am 5 mm thick and weigh 100g Q4: I am 5 mm thick and weigh 25g Q5: I am 30 mm thick and weigh 450g Q6: I am 22 mm thick and weigh 600g Q7: I am 3 mm thick and weigh 85g Q8: I weigh 725g Student 9. A 2nd class letter *10. Three 1 st class letters 11. A 2nd class large letter (250g) 12.A 2nd class 400g large letter 13.A 1600g packet 1 st class *14.Five 1.9 kg packets *15. Six 1 st class letters, two 2 nd class 500g large letters and four 3kg packets. *16. What is the difference in postage costs between a 1 st class and a 2 nd class letter? *17. What is the difference in postage cost between a 1 st class and a 2 nd class 900g packet? *18. What is the difference in postage cost between a 1 st class and a 2 nd class 750g large letter? *19. What proportion of the cost of a 1 st class letter is the cost of a second class letter. Express this as: (a) A Fraction (b) A Decimal (c) A Percentage *20. What is the ratio of the cost of a 1 st class letter to the cost of a second class letter?

39. *21. What is the ratio of the cost of a 2 nd class 500g large letter to the cost of a 1 st class 500g large letter? *22. How much would a 500g 2 nd class large letter cost if the price changed as follows: (nearest penny) (a) + 10% (b) – 5% (c) + 15% Q23: Christine is posting a 2 nd class letter containing a single A4 sheet of paper 297 mm x 210 mm (5g). What advice would you give her about envelopes? *Q24: What is the maximum length of a letter in centimetres? *Q25: What is the maximum length of a large letter in centimetres? *Q26: Work out the maximum width of a large letter in inches. *Q29: What is the maximum weight in pounds for posting a letter? *Q30: What is the maximum weight in pounds for posting a large letter? *Q31: What is the maximum weight in pounds for posting a 4 kg packet? *Q24: What is the maximum length of a letter in centimetres? *Q25: What is the maximum length of a large letter in centimetres? *Q26: Work out the maximum width of a large letter in inches. *Q27: Work out the maximum thickness of a large letter in inches. *Q28: Work out the maximum thickness of a letter in inches. *Q 32: Decide which of the six parcels shown in the table above are within the size and weight restrictions. For those that are not give a reason. See Worksheet + SL 29 *Q 33: Each of the boxes shown are at the maximum allowable limit under the length restriction. Calculate the missing dimension in each case. See worksheet + SL 30 Q 34: Many items can be sent through the post in cylindrical tubes. Calculate the maximum diameters (d) to the nearest cm for each of the tubes shown. See Worksheet + SL 31

40. Q 35: A small business want to delivery an 18 kg parcel so that it arrives by 9 am tomorrow. How much will it cost? Q 36: Sarah wants to deliver a birthday present to a friend in Southampton. It only weighs 8 kg but she wants it to arrive within 24 hours. How much will it cost her? *Q 37: Craig needs to get a 3 x 15 kg parcels to Milton Keynes within 48 hours. How much will this cost? *Q 38: What is the range in costs for sending a 15 kg parcel? *Q 39: What is the modal cost off getting a parcel delivered (for all weights) by Noon next day? *Q 40: What is the median cost (for all weights) of getting a parcel delivered by 10 am next day. *Q 41: What is the mean cost of posting a 6 kg parcel? *Q 42: It is 40% cheaper to deliver a 19 kg parcel by noon rather than by 9 am the next day> True or false?

41. Worksheet 1 3 Packet > 353mm long or > 250 mm wide or > 25mm thick or > 750g 2 Large Letter 25 mm MAXIMUM THICKNESS 353 x 250 mm max max weight 750g ≤ 1 st Class 2 nd Class Letter 100g£0.36£0.27 Large Letter 100g£0.52£0.42 250g£0.78£0.66 500g£1.08£0.90 750g£1.57£1.31 Packet 100g£1.14£0.95 250g£1.45£1.24 500g£1.94£1.63 750g£2.51£2.08 1kg£3.08£2.49 1.25kg£4.30n/a 1.5kg£5.00n/a 1.75kg£5.70n/a 2kg£6.40n/a 4kg£8.22n/a 1 Letter 240 x 165 mm max max weight 100g 5 mm MAXIMUM THICKNESS  PLACE CORNER OF ITEM HERE Prices as at September 2008 ½ scale Size Guide

42. Worksheet 2 Size and Weight Restrictions Maximum Weight: 30kg Maximum Length: 1.5m Maximum Combined Length + Girth: 3m ParcelLengthWidth 190 cm40 cm 2110 cm30 cm 380 cm70 cm 495 cm80 cm 5160 cm30 cm 650 cm40 cm Height 30 cm 25 cm 60 cm 20 cm 30 cm Weight 18kg 12 kg 22 kg 10 kg 28 kg 40 kg £11£15 £12£17 £13£17 £16£20 £17£21 £18£23 £19£24 £20£25 £21£26 £22£27 6 kg£21 £23 £24 £26 £28 £29 £31 £33 £35 £37 £38 £40 £42 £43 £45 £47 £43 £45 £47 £49 £52 £54 £56 8 kg 10 kg 11 kg 12 kg 13 kg 14 kg 15 kg 16 kg 17 kg £23£29 £24£30 £25£31 £34 £36 £37 £49 £50 £52 £58 £60 £62 18 kg 19 kg 20 kg By 9:00 By 10:00 By 12:00 ≤24 hours ≤48 hours Max Weight

43. Worksheet 3 140 cm 50 cm 70 cm 90 cm 45 cm 1. 2. 3. 4. x cm NOT TO SCALE 20 cm

44. Worksheet 4 1. 2. 3. 100 cm d cm 150 cm NOT TO SCALE 125 cm