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Virtual Campus Resource Development Project

Virtual Campus Resource Development Project. Construction Diploma with Functional Skills Maths Level 1/2. Formative Assessment Task. (START). Instructions. You will complete 2 tasks. Each task will take about 45 minutes each. Each task is split up into different questions

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Virtual Campus Resource Development Project

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  1. Virtual Campus Resource Development Project Construction Diploma with Functional Skills Maths Level 1/2 Formative Assessment Task (START)

  2. Instructions • You will complete 2 tasks. • Each task will take about 45 minutes each. • Each task is split up into different questions • You will be using Maths in this resource. • The tasks are based on the Construction Diploma. • You can use a calculator. • You can use pen and paper. • Once you have completed each question, click the blue button below. Next slide

  3. Background You are working for a building contractor . You are asked to provide a few quotes for some jobs on a residential property. One job is to fit new fascia boards around the house. The second job is to fix an outside tap on the side of the garage wall. Next slide (Instructions)

  4. Before starting the task, study the illustrations below and then click ‘Next’. 2cm Sun lounge 3cm 4.5cm Main rooms Garage 5.5cm 3.5cm Scale = 2cm:3m Next Background

  5. Task 1A The whole perimeter of the house requires UPVC fascia boards (marked as a red-dashed line in the image on the previous slide). In metres, how much fascia board is required to cover the whole house? Click the correct answer (A, B or C) • 35.5m • 53.25m • 106.5m A B C Next task (Back to images)

  6. Task 1A - SORRY! TRY AGAIN 35.5m is incorrect– 35.5 is the correct perimeter in centimetres. To convert to metres, take the scale into account (2cm=3m). This is equivalent to 1cm=1.5m If you multiply 35.5 X 1.5 = 53.25m (Question) Next task

  7. Task 1A - CORRECT! WELL DONE The correct answer is 53.25m. Perimeter = 35.5cm (2cm+3cm+4.5cm+5.5cm+5.5cm+6.5cm+8.5cm) Scale = 2cm:3m or equivalent is 1cm:1.5m Multiply 35.5 X 1.5 = 53.25m (Question) Next task

  8. Task 1A - SORRY! TRY AGAIN Correct perimeter is 53.25m or 35.5cm Scale is 2cm:3m or 1cm:1.5m 53.25X2 = 106.5m which incorrect 35.5X1.5 = 53.25m which is correct (Question) Next task

  9. Task 1B The fascia boards are available in strips of 4.5m lengths. How many fascia boards will he need to cover the required perimeter of the house? Click the correct answer (A, B or C) 11.83 11 12 A B C Next task (Task 1A)

  10. Task 1B - SORRY! TRY AGAIN 11.83 is the precise answer to 53.25/4.5 (perimeter/fascia Length. In reality, you will 12 lengths – you cannot buy 0.83 of a fascia board. (Back to Task 1B) Next task

  11. Task 1B - SORRY! TRY AGAIN 11 lengths is an incorrect rounding of 11.83 – should be 12. Also, 11 lengths will not be enough to cover the perimeter – you will be short by 0.83m. (Back to Task 1B) Next task

  12. Task 1B - CORRECT! WELL DONE 12 is the correct answer. The perimeter is 53.25m. Each fascia length is 4.5m. Total no. of fascia lengths = Perimeter/Fascia length. 53.25/4.5 = 11.833. Need 12 lengths in total. (Back to Task 1B) Next task

  13. Task 1C Each fascia board costs £10.50 each. Additional costs are below to fit one fascia board: Add 20% VAT on all materials. What is the total cost of the job (whole perimeter needing 12 boards) including VAT? Click the correct answer (A, B or C) £180.00 £204.00 £144.00 A B C Next task (Task 1B)

  14. Task 1C SORRY! TRY AGAIN £180.00 is an incorrect answer. You have not added a total VAT of £24.00 (£12 for board clips; £12 for glue) (Question) Next task

  15. Task 1C CORRECT! WELL DONE The correct answer is £204 12 boards are needed to cover perimeter of 53.25m. Each board requires £5.00 worth of board clips (10 clips X £0.50) For 12 boards, you will need £60.00 (12X0.5)worth of clips, plus 20% VAT is £72.00. Each board requires £5.00 worth of glue tubes (5 tubes to cover 4.5 metres) . For 12 boards, you will need £60.00 worth of glue tubes, plus 20% VAT is £72.00. Labour costs - £5.00 X 12 boards = £60.00 Total cost of covering the perimeter with fascia boards = 72+72+60 = £204 (Question) Next task

  16. Task 1C - SORRY! TRY AGAIN £144 is an incorrect answer. You have correctly calculated the VAT for the materials. You have not included the labour costs of £60 into the total job. (Question) Next task

  17. Task 1D You are paid £8.00 per hour. You can fit up to 5 fascia boards per hour. You need to fit 12 fascia boards to complete the job/perimeter. Calculate the difference in labour costs between an hourly rate job and a fixed priced job of £60? Click the correct answer (A, B or C) £24 £36 £44 A B C Next task (Task 1C)

  18. Task 1D - SORRY! TRY AGAIN £24 is not the correct answer. You have not completed the calculation fully. £24 is the correct hourly rate pay for fixing 12 boards. This needs to be subtracted from the fixed price of £60 to give you a final answer of £36. (Question) Next task

  19. Task 1D - CORRECT! WELL DONE The correct answer is £36.00 The hourly rate costs would be £24.00 (£8.00 X 3 hours). 3 hours = 5 boards per hour, 12 boards will take exactly 2 hours and 12 minutes, rounded up to 3 hours to reflect pay conditions. Fixed cost = 12 boards @ £5.00 per board is £60. Difference in hourly and fixed price job = £60-£24 = £36 Therefore, job will be cheaper on an hourly basis. (Question) Next task

  20. Task 1D - SORRY! TRY AGAIN £44 is not the correct answer. Here, you have calculated the hourly labour costs as £16 (£8.00 X 2 hours). 2hours and 12 minutes (time it takes to fit 12 boards) has been rounded down to 2 hours. £60 - £16 = £44 (Question) Next task

  21. Task 1E A rival building contractor has offered a quote which is 7.5% below your price of £204. What would be the price difference between your quote and the contractor’s quote? Click the correct answer (A, B or C) £15.30 £188.70 £219.30 A B C Next task (Task 1D)

  22. Task 1E - CORRECT! WELL DONE £15.30 is the correct answer. 7.5% of £204.00 is £15.30. £204.00-£15.30 is £188.70 which is your competitor’s quote. Reverse check: £204.00-£188.70 = £15.30 (difference between both quotes) (Task 1E) Next task

  23. Task 1E - SORRY! TRY AGAIN £188.70 is not the correct answer. This is not a full calculation. £188.70 is the competitor’s quote (7.5% of £204.00 subtracted by £204.00). You need to subtract £188.70 by £204.00 to have an answer of £15.30. (Task 1E) Next task

  24. Task 1E - SORRY! TRY AGAIN £219.30 is not the correct answer. You have added 7.5% of £204.00 (£15.30) to your quote of £204.00. This gives you an answer of £219.30. (Task 1E) Next task

  25. Task 1F Below are three checks on one of the answers. Decide which one is a correct check of the answer for Task 1E (£15.30). £204+£188.70 = £15.30 £188.70-£204.00 = £15.30 £204.00-£188.70 = £15.30 A B C Next task (Task 1E)

  26. Task 1F - SORRY! TRY AGAIN A is not a correct check. You have chosen £204.00+£188.70=£15.30. This will actually give an answer of £392.70 (Task 1F) Next task

  27. Task 1F - SORRY! TRY AGAIN B is not a correct check. You have chosen £188.70-£204.00=£15.30. This will actually give an answer of -£15.30 which is incorrect. (Task 1F) Next task

  28. Task 1F - CORRECT! TRY AGAIN C is the correct check. Well done. £204.00 (your quote) - £188.70 (competitor’s quote) = £15.30 Next task (Task 1F)

  29. Task 2 On the same property, you have been asked to provide a quote for fitting an outside tap next to the garage wall. 3cm 6cm Scale: 2cm=3m Next Task Back to instructions

  30. Task 2A On the side elevation below, the correct position for the tap which should be a quarter (1/4) of the length from the garage door and two thirds (2/3) down from the roof. Click the correct position for the outside tap – A, B or C Roof Side elevation of garage Scale=2cm:3m C Garage door 3cm (X) A A C B B Next Task Images 6cm (Y)

  31. Task 2A - SORRY! TRY AGAIN Ais not the correct answer. The position of the tap is 2/3 down from the roof but ¼ away from the back of the garage. (Task 2A) Next task

  32. Task 2A - CORRECT! WELL DONE B is the correct answer. The outside tap is positioned ¼ length for the garage door and 2/3 down from the roof. (Task 2A) Next task

  33. Task 2A - SORRY! TRY AGAIN C is not a correct answer. The tap is positioned 2/3 up from the floor and ¼ length from the back of the garage. Next task (Previous slide)

  34. Task 2B Based on the scale diagram, in metres, what would be the measurements to mark the position of the outside tap? Click the correct answer (A, B or C) Height (X) = 2.25cm Length (Y)= 2m Height (X) = 2m Length (Y)=1.5m Height (X) = 2.25m Length (Y) = 2m A B C Next Task (Task 2A)

  35. Task 2B - SORRY! TRY AGAIN A is not the correct answer. Despite correct conversions for the height and length of the tap, the figures have been incorrectly labelled in cm. (Task 2B) Next task

  36. Task 2B - SORRY! TRY AGAIN B is not the correct answer. Partial answers – the figures need to be converted to metres using the scale provided. Next task (Task 2B)

  37. Task 2B - CORRECT! WELL DONE C is the correct answer. ¼ of 6cm is 1.5cm. 2/3 of 3cm is 2cm. Conversions: 1.5cm is 2.25m and 2cm is 2m. Height = 2.25m Length = 2m (Task 2B) Next task

  38. Task 2C The table below shows how much each of the items cost. Which is the correct total cost of materials required including a VAT of 20%? £21.22 £88.09 £105.70 A B C Next Task (Task 2B)

  39. Task 2C - SORRY! TRY AGAIN £21.22 is not the correct answer. £21.22 is the correct total cost of all of individual items. However, each individual item needs to be multiplied by the no. required. The total then needs to include 20% VAT. ( Task 2C) Next task

  40. Task 2C - SORRY! TRY AGAIN £88.09 is not the correct answer. £88.09 is the correct total of all individual items multiplied by the no. required. A VAT of 20% needs to be added to this total. (Task 2C) Next task

  41. Task 2C - CORRECT! WELL DONE £105.70 is the correct answer. You obtained a total of £88.09 by adding up the required no. of materials which were multiplied by their unit prices. You then added 20% VAT, resulting in a final total of £105.70. Next task (Task 2C)

  42. Task 2D The total hours required to complete the job is 8 hours. The hourly rate is £8. A competitor is offering a fixed price of £152.73 which is 10% lower than the hourly rate job. What is price of hourly rate job which including the cost of materials with 20% VAT? Click the correct answer (A, B or C) £16.97 £169.70 £186.07 A B C (Task 2c) Next task

  43. Task 2D - SORRY! TRY AGAIN £16.97 is not the correct answer. This represents 10% of the total price of the hourly rate job which the cost of materials plus 20% VAT. Next task (Task 2D)

  44. Task 2D - CORRECT! WELL DONE £169.70 is the correct answer. Labour costs = £8.00 rate X 8 hours = £64.00 Total cost of materials = £105.70 Total cost = £64.00 + £105.70 = £169.70 Next task (Task 2D)

  45. Task 2D - SORRY! TRY AGAIN! £186.07 is not the correct answer. You have added 10% of the hourly rate job (£16.70) to the hourly rate job (£169.70). Next task (Task 2D)

  46. Task 2E Look at the plan below of the required pipework that needs to be connected to the outside tap. Key 3cm Pipework 4cm Scale : 2cm:3m Tap 3.5cm Next (Task 2D)

  47. Task 2E (continued) In metres, how much copper pipe is needed to complete the job? Click the correct answer (A, B or C) 10.5m 10.5cm 11.25m A B C Next Task (Image)

  48. Task 2E - CORRECT! 10.5m is the correct answer. Width = 3cm is equivalent t0 4.5m Length = 4cm is equivalent to 6m Total length of pipework = 4.5+6 = 10.5m (Task 2E) Next task

  49. Task 2E - SORRY! TRY AGAIN 10.5cm is not the correct answer. Even though you have calculated the correct length of pipework required, you have chosen centimetres for the final answer. The question asked for the answer in metres. (Task 2E) Next task

  50. Task 2E - SORRY! TRY AGAIN 11.25m is not the correct answer. The length has been calculated correctly as 6.0m A garage width of 5.25m is longer than the required width of the pipework which is 4.5m. This is why the answer has resulted in 11.25m. Next task (Task 2E)

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