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Guidance Notes for Teachers Some indication of content and range at level 1 and 2 is shown on the next slide. It could also be used as a single project given to students from start to finish. 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. All of questions in this presentation are designed to be non-calculator. NB: Q12 and 13 may need a brief discussion on the relationship between “A” size papers. Simply handing out an A4 size sheet of paper may suffice, otherwise a more in depth look can be obtained by use of the use of the PAPER PLEASE presentation prior to this one. 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).

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: Small Business Mailshot Content and skills covered Coverage and range: Level 2 At least 1 from each area

Intro (Envelopes) Magic Maths is a small company that has just formed. They intend to supply UK primary schools with maths software. The directors have agreed to get the business off-the-ground by launching an advertising campaign directed at just 6,700 primary schools initially. Box of 500 C5 Envelopes They order boxes of C5 envelopes from an on-line retailer as shown. Each box costs £16.00 (ex VAT at 17½%) Question 1. How many boxes will be needed for the mailshot? 14 Question 2. Calculate the total cost of the envelopes excluding VAT. £224 Question 3. Calculate the total cost of the envelopes including VAT. £224 + £ £ £5.60 = £ ,700

Labels 6,700 Each envelope will have a stick-on rectangular address label. A4 sheets of labels (as shown) are purchased locally at £12.75 (including VAT) for a box of 100 sheets. Question 4. How many boxes of labels will need to be purchased for the mailshot? 4 Question 5. Calculate the cost of the purchased labels. £ mm 210 mm

Each envelope will have a stick-on rectangular address label. A4 sheets of labels (as shown) are purchased locally at £12.75 (including VAT) for a box of 100 sheets. Question 6. How many spare labels should there be after completion of the mailshot? 8,400 – 6,700 = 1, mm 210 mm Question 7. If 2% of the labels are damaged during peeling/printing how many is this? 134 6,700

Each envelope will have a stick-on rectangular address label. A4 sheets of labels (as shown) are purchased locally at £12.75 (including VAT) for a box of 100 sheets. Question 8. Calculate the perimeter of the label sheet. Give your answer in: (a) mm (b) cm (c) m 1, mm 210 mm Question 9. How many lines of symmetry does a label have? 2 6,700

Stamps The mailshot will be delivered by second class post. Stamps for this cost 32p each and are purchased on self-adhesive sheets of 100. Question 10. How many sheets are needed? 67 Question 11. Calculate the total cost of the postage. The Headteacher Myers Primary School Stickfield ST7 8PS £2,144 6,700

Printing A4 Covering Letter A5 A3 Colour Brochure 2 A2 Colour Brochure 1 Compliment Slip All Folded to A5 + C5 14g 32g 8g 7g 2g The letter and colour brochures are to be printed, folded to A5 and placed in the C5 envelope together with the compliment slip as shown in the diagram. Question 12. How many folds are needed for the Covering Letter? 1 Question 13. How many folds are needed for: (a)Colour brochure 2 (b)Colour brochure ,700

A4 Covering Letter A5 A3 Colour Brochure 2 A2 Colour Brochure 1 Compliment Slip All Folded to A5 + C5 14g 32g 8g 7g 2g The letter and colour brochures are to be printed, folded to A5 and placed in the C5 envelope together with the compliment slip as shown in the diagram. Question 14. Work out the weight of the internal contents of the envelope. 56g Question 15. What fraction of the weight of Colour Brochure 1 is Colour Brochure 2? 7/16 6,700

A4 Covering Letter A5 A3 Colour Brochure 2 A2 Colour Brochure 1 Compliment Slip All Folded to A5 + C5 14g 32g 8g 7g 2g The letter and colour brochures are to be printed, folded to A5 and placed in the C5 envelope together with the compliment slip as shown in the diagram. Question 16. Express the weight of the Covering Letter to the weight of Colour Brochure 1 as: (a) A Fraction (b) A Decimal (c) A Percentage ¼ % 6,700

A4 Covering Letter A5 A3 Colour Brochure 2 A2 Colour Brochure 1 Compliment Slip All Folded to A5 + C5 Question 17. What is the ratio of the weight of the Covering Letter to that of the weight of Colour Brochure 2? 4:7 Question 18. What fraction of the total weight of a single mailing is the envelope? 1/9 The letter and colour brochures are to be printed, folded to A5 and placed in the C5 envelope together with the compliment slip as shown in the diagram. 14g 32g 8g 7g 2g 6,700

A4 Covering Letter A5 A3 Colour Brochure 2 A2 Colour Brochure 1 Compliment Slip All Folded to A5 + C5 An order is placed at the printers for 7000 of each of the four items. The cost is shown in each case. Question 19. One item is ¾ the cost of another. Identify the items concerned. The Compliment slips are ¾ of the cost of the Covering Letters. £1,200 £540 £180 £135 Question 20. One item is 1/3 the cost of another. Identify the items concerned. The Covering Letters are 1/3 the cost of Colour Brochure 2. 14g 32g 8g 7g 2g 6,700

A4 Covering Letter A5 A3 Colour Brochure 2 A2 Colour Brochure 1 Compliment Slip All Folded to A5 + C5 An order is placed at the printers for 7000 of each of the four items. The cost is shown in each case. Question 21. Calculate the total cost of the printing. £2,055 £1,200 £540 £180 £135 14g 32g 8g 7g 2g Question 22. Calculate the total weight of the completed mailshot in (a) kg. (nearest kg) (b) Tonnes 422 kg T 6,700

A4 Covering Letter A5 A3 Colour Brochure 2 A2 Colour Brochure 1 Compliment Slip All Folded to A5 + C5 An order is placed at the printers for 7000 of each of the four items. The cost is shown in each case. £1,200 £540 £180 £135 14g 32g 8g 7g 2g Question 23. Express this weight (422 kg) in lbs (nearest pound). 422 x 2.2 = 928 lbs Question 24. Fifty Royal Mail bags are to be used to carry the mailshot. And equal numbers of letters are to be placed in each. How many letter will be in each bag? 134 6,700

A4 Covering Letter A5 A3 Colour Brochure 2 A2 Colour Brochure 1 Compliment Slip All Folded to A5 + C5 An order is placed at the printers for 7000 of each of the four items. The cost is shown in each case. £1,200 £540 £180 £135 14g 32g 8g 7g 2g Question 25. Calculate the weight of each bag. Express your answer in kg and g. 134 x 63g = 8442g = 8kg 442g 6,700

Mean 6,700 The mailshot was eventually collated by a single employee over a seven day period as shown in the table. Question 26. Calculate the number of letters collated on day DayNumber Total6,700 Question 27. Calculate the mean and range for this data. Mean = 6,700/7  957 Range = 2300 – 425 =

Cost/profit Question 28. Calculate the total cost of the mailshot (excluding labour) to the nearest £100. £4,  £4,500 ItemCost Envelopes£ Labels£51.00 Postage£2, Printing£2, Ink (labels)£35.00 Total Question 29. Magic Maths software costs £280. How much would the sales be if 1% of the primary schools purchased it? £4, £18,760 Question 30. On the basis of these projected sales figures what would you recommend with regard to the remaining 15,000 primary schools? Send them a mailshot. 6,700

Worksheets 6,700 Box of 500 C5 Envelopes They order boxes of C5 envelopes from an on-line retailer as shown. Each box costs £16.00 (ex VAT at 17½%) For Q1 – Q3 For Q4 – Q9 Each envelope will have a stick-on rectangular address label. A4 sheets of labels (as shown) are purchased locally at £12.75 (including VAT) for a box of 100 sheets. The mailshot will be delivered by second class post. Stamps for this cost 32p each and are purchased on self-adhesive sheets of 100. For Q10 – Q11 Worksheet (1)

A4 Covering Letter A5 A3 Colour Brochure 2 A2 Colour Brochure 1 Compliment Slip All Folded to A5 + C5 £1,200 £540 £180 £135 14g 32g 8g 7g 2g For Q12 – Q25 1. The letter and colour brochures are to be printed, folded to A5 and placed in the C5 envelope together with the compliment slip as shown in the diagram. 2. An order is placed at the printers for 7000 of each of the four items. The cost is shown in each case. DayNumber Total6,700 For Q26 – Q27 ItemCost Envelopes£ Labels£51.00 Postage£2, Printing£2, Ink (labels)£35.00 Total For Q28 – Q30 6,700 Worksheet (2)

Teacher Q + A Question 1. How many boxes will be needed for the mailshot? 14 Question 2. Calculate the total cost of the envelopes excluding VAT. £224 Question 3. Calculate the total cost of the envelopes including VAT. £224 + £ £ £5.60 = £ Question 4. How many boxes of labels will need to be purchased for the mailshot? 4 Question 5. Calculate the cost of the purchased labels. £51 Question 6. How many spare labels should there be after completion of the mailshot? 8,400 – 6,700 = 1,700 Question 7. If 2% of the labels are damaged during peeling/printing how many is this? 134 Question 8. Calculate the perimeter of the label sheet. Give your answer in: (a) mm (b) cm (c) m 1, Question 9. How many lines of symmetry does a label have? 2 Question 10. How many sheets are needed? 67 Question 11. Calculate the total cost of the postage. £2,144 Question 12. How many folds are needed for the Covering Letter? 1 Question 13. How many folds are needed for: (a) Colour brochure 2 (b) Colour brochure 1 23 Teacher Q + A (1)

Question 14. Work out the weight of the internal contents of the envelope. 56g Question 15. What fraction of the weight of Colour Brochure 1 is Colour Brochure 2? 7/16 Question 16. Express the weight of the Covering Letter to the weight of Colour Brochure 1 as: (a) A Fraction (b) A Decimal (c) A Percentage ¼0.2525% Question 17. What is the ratio of the weight of the Covering Letter to that of the weight of Colour Brochure 2? 4:7 Question 18. What fraction of the total weight of a single mailing is the envelope? 1/9 Question 19. One item is ¾ the cost of another. Identify the items concerned. The Compliment slips are ¾ of the cost of the Covering Letters. Question 20. One item is 1/3 the cost of another. Identify the items concerned. The Covering Letters are 1/3 the cost of Colour Brochure 2. Question 21. Calculate the total cost of the printing. £2,055 Question 22. Calculate the total weight of the completed mailshot in: (a) kg. (nearest kg) (b) Tonnes 422 kg0.422 T Question 23. Express this weight (422 kg) in lbs (nearest pound). 422 x 2.2 = 928 lbs Question 24. Fifty Royal Mail bags are to be used to carry the mailshot. And equal numbers of letters are to be placed in each. How many letter will be in each bag? 134 Question 25. Calculate the weight of each bag. Express your answer in kg and g. 134 x 63g = 8442g = 8kg 442g Question 26. Calculate the number of letters collated on day Question 27. Calculate the mean and range for this data. Mean = 6,700/7  957 Range = 2300 – 425 = 1875 Question 28. Calculate the total cost of the mailshot (excluding labour) to the nearest £100. £4,  £4,500 Question 29. Magic Maths software costs £280. How much would the sales be if 1% of the primary schools purchased it? £18,760 Question 30. On the basis of these projected sales figures what would you recommend with regard to the remaining 15,000 primary schools? Send them a mailshot. Teacher Q + A (2)

Student Questions Question 1. How many boxes will be needed for the mailshot? Question 2. Calculate the total cost of the envelopes excluding VAT. Question 3. Calculate the total cost of the envelopes including VAT. Question 4. How many boxes of labels will need to be purchased for the mailshot? Question 5. Calculate the cost of the purchased labels. Question 6. How many spare labels should there be after completion of the mailshot? Question 7. If 2% of the labels are damaged during peeling/printing how many is this? Question 8. Calculate the perimeter of the label sheet. Give your answer in: (a) mm (b) cm (c) m Question 9. How many lines of symmetry does a label have? Question 10. How many sheets are needed? Question 11. Calculate the total cost of the postage. Question 12. How many folds are needed for the Covering Letter? Question 13. How many folds are needed for: (a) Colour brochure 2 (b) Colour brochure 1 Student Questions (1)

Question 14. Work out the weight of the internal contents of the envelope. Question 15. What fraction of the weight of Colour Brochure 1 is Colour Brochure 2? Question 16. Express the weight of the Covering Letter to the weight of Colour Brochure 1 as: (a) A Fraction (b) A Decimal (c) A Percentage Question 17. What is the ratio of the weight of the Covering Letter to that of the weight of Colour Brochure 2? Question 18. What fraction of the total weight of a single mailing is the envelope? Question 19. One item is ¾ the cost of another. Identify the items concerned. Question 20. One item is 1/3 the cost of another. Identify the items concerned. Question 21. Calculate the total cost of the printing. Question 22. Calculate the total weight of the completed mailshot in: (a) kg. (nearest kg) (b) Tonnes Question 23. Express this weight (422 kg) in lbs (nearest pound). Question 24. Fifty Royal Mail bags are to be used to carry the mailshot. And equal numbers of letters are to be placed in each. How many letter will be in each bag? Question 25. Calculate the weight of each bag. Express your answer in kg and g. Question 26. Calculate the number of letters collated on day 5. Question 27. Calculate the mean and range for this data. Question 28. Calculate the total cost of the mailshot (excluding labour) to the nearest £100. Question 29. Magic Maths software costs £280. How much would the sales be if 1% of the primary schools purchased it? Question 30. On the basis of these projected sales figures what would you recommend with regard to the remaining 15,000 primary schools? Student Questions (2)