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Builder’s Math: Sessions 1 & 2

by Theta | Sep 24, 2020

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  1. Question 1 of 45
    1. Question

    The required ventilation for a 3,000 square foot roof is 1/300 of the horizontal roof projection area. The ventilation will be evenly split between ridge vents and soffit vents. How many square feet of soffit vent are required to comply with the ventilation requirements?

    Correct

    Incorrect

  2. Question 2 of 45
    2. Question

    You are in the process of determining the cost for your job. An area measuring 14′ x 16′ x 8′ high will need 3/4 inch plywood floor decking. An area measuring 18′ x 16′ x 8 ‘ high will need 1/2 inch plywood floor decking. The costs are $20 per sheet for 3/4″ plywood and $12 per sheet for 1/2 inch plywood. Calculate the total cost for all of the plywood floor decking?

    Correct

    Incorrect

  3. Question 3 of 45
    3. Question

    A benchmark on a site plan has an elevation of 118.42 feet. Finish grade has an elevation of 115.22 feet. The finish grade is how many feet lower or higher than the benchmark?

    Correct

    Incorrect

  4. Question 4 of 45
    4. Question

    The outside measurements of a 12-inch thick concrete foundation wall are 20 feet x 50 feet. The distance from the top of the foundation wall to the top of the footing is 4 feet. Both sides of the foundation wall will be formed using 4-foot by 8-foot plywood sheets. How many sheets of plywood will be needed to form the foundation wall?

    Correct

    Incorrect

  5. Question 5 of 45
    5. Question

    If a gable roof has a span of 40 feet and the rafter slope is 3 in 12, what is the height of the ridge?

    Correct

    Incorrect

  6. Question 6 of 45
    6. Question

    You are constructing a wall using 2 X 4 wood. If the wall will be 48-feet long, how many studs will be needed for spacing 16 inches on center?

    Correct

    Incorrect

  7. Question 7 of 45
    7. Question

    Calculate how many cubic yards of concrete are needed for a basement floor 30′ x 42′ x 4 inches thick.

    Correct

    Incorrect

  8. Question 8 of 45
    8. Question

    Calculate how many cubic yards of concrete are needed for a trench footing 24′ x 24′ x 4′ deep by 1′ wide.

    Correct

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  9. Question 9 of 45
    9. Question

    Calculate how many cubic yards of concrete are needed for basement walls, without footing, 24′ x 40′ x 9′ high, 8″ thick.

    Correct

    Incorrect

  10. Question 10 of 45
    10. Question

    Calculate how many cubic yards of concrete are needed for a driveway 80 feet long x 16 feet wide x 6 inches thick.

    Correct

    Incorrect

  11. Question 11 of 45
    11. Question

    Calculate the number of 8 inch masonry blocks required to construct a foundation wall with a total perimeter of 144′ and 11 courses high.

    Correct

    Incorrect

  12. Question 12 of 45
    12. Question

    Calculate the number of squares of shingles needed to cover a gable roof 40 ft. in length and 16 ft. wide on each side (disregard for caps and starter).

    Correct

    Incorrect

  13. Question 13 of 45
    13. Question

    Calculate the square footage of the gable end of a roof for vinyl siding. Total length 36 ft. by 6 ft. at ridge.

    Correct

    Incorrect

    Hint

    Use the following formula:(Base / 2) x Height = s.f.(36 /2) x 6 feet = s.f.18 feet x 6 feet = 108 s.f.

  14. Question 14 of 45
    14. Question

    Calculate the s.f. of drywall needed to finish a room 10′ x 12′ x 8′ high. Do not subtract for doors or windows.

    Correct

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  15. Question 15 of 45
    15. Question

    Calculate the cubic yards excavated for a basement. Total rough opening 42′ x 38′ x 9′ deep.

    Correct

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  16. Question 16 of 45
    16. Question

    Calculate the cubic yards excavated for a trench footing
    60′ x 38′ x 4′ deep, 2′ wide.

    Correct

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  17. Question 17 of 45
    17. Question

    10 pieces of 1″x12″x10′ long = _________ board feet.

    Correct

    Incorrect

  18. Question 18 of 45
    18. Question

    2 pieces of 1 1/4″ x 10″ x 8′ long = _________ board feet.

    Correct

    Incorrect

  19. Question 19 of 45
    19. Question

    24 pieces of 2″x 4″x 8′ long = _________ board feet.

    Correct

    Incorrect

    Hint

    Use the following formula:(Number of pieces x Height x Width x Length in feet) / 12″ = Board feet(24 pieces x 2 x 4 x 8) / 12″ = 128 Board feet

  20. Question 20 of 45
    20. Question

    Calculate the number of floor joists needed for a floor system 60′ X 30′ with a steel floor beam in the center. Use 16′ joists. Do not include partition supports, headers, etc.

    Correct

    Incorrect

  21. Question 21 of 45
    21. Question

    Estimate the number of 4 X 8 sheets of flooring material needed for a 60′ X 30′ area with no floor openings.

    Correct

    Incorrect

  22. Question 22 of 45
    22. Question

    A new construction home requires 20,000 square feet of common brick. How many bricks will be required?

    Correct

    Incorrect

  23. Question 23 of 45
    23. Question

    A garage measuring 32 feet by 32 feet is to have a conventionally framed gable room with a 4/12 slope. There will also be a 2 foot overhang. What length of 2 x 8 pre-cut would you purchase that would not waste money, labor, or material? (No additional knee wall or purlin required).

    Correct

    Incorrect

  24. Question 24 of 45
    24. Question

    Total “run” for a flight of steps is 12 feet. The “rise” is 8 feet. Which of the following 2 x 12 lengths is the most suitable?

    Correct

    Incorrect

  25. Question 25 of 45
    25. Question

    What is the diagonal measurement of a 12 x 16 wood deck?

    Correct

    Incorrect

  26. Question 26 of 45
    26. Question

    A gable truss spans 40 feet if the slope is 3/12. What is the rise height at the ridge?

    Correct

    Incorrect

  27. Question 27 of 45
    27. Question

    Determine the cost per square foot to construct the following concrete forms.Labor Required = 11 HoursCost per Hour = $10.64Total Square Feet of Concrete Forms = 100 square feet.

    Correct

    Incorrect

  28. Question 28 of 45
    28. Question

    You are responsible for the grading and excavation on the work site. Your level (transit) reads 6.4 ft on a leveling rod that has been set up on top of a benchmark that has a given elevation of 100.0 ft. The finish grade as shown on the blueprints is 96.80 ft. Calculate what the rod reading should be on the finished grade after all fill has been placed, compacted, and graded?

    Correct

    Incorrect

  29. Question 29 of 45
    29. Question

    You are constructing a gable roof on a new residential home. The roof measures 44 feet long. The 16-foot roof rafters are spaced 24″ on center. What is the total number of 4 X 8 sheets of plywood are needed to deck the roof?

    Correct

    Incorrect

  30. Question 30 of 45
    30. Question

    Calculate the vent area required for a crawl space of a 22′ X 60’ house. A vapor does not exist on the floor of the crawl space.

    Correct

    Incorrect

  31. Question 31 of 45
    31. Question

    Calculate the solution to the following problem.Horizontal run = 85 feetChange in elevation per foot = -1/4″What is the change in elevation over 85 feet?

    Correct

    Incorrect

  32. Question 32 of 45
    32. Question

    A homeowner has a contract with a builder for $2,200. The owner gives the builder a $225 deposit. After three months, the balance of the contract is due with a simple interest rate of 15%. What is the payment amount that the homeowner will give to the builder?

    Correct

    Incorrect

  33. Question 33 of 45
    33. Question

    A nonexempt, hourly painter employed by your company earns $5.00 hour. The employee works 47 hours in a work week. According to the Minimum Wage Law of 1964, calculate the employees gross wage for the week?

    Correct

    Incorrect

  34. Question 34 of 45
    34. Question

    Calculate the net worth of the contractor from the following information:Assets = $1,943,553Liabilities = $1,297,887

    Correct

    Incorrect

  35. Question 35 of 45
    35. Question

    All of the builder’s suppliers offer terms of 2%/10, net 30, 1.5% per month penalty over 30. The builder has one statement in the amount of $15,000 dated January 1, one statement for $6,000 dated February 1, and one statement for $5,000 dated March 1. What is the total amount the builder must pay to settle these statements on March 5?

    Correct

    Incorrect

  36. Question 36 of 45
    36. Question

    In reference to the Balance Sheet, what are the company’s total liabilities?

    Correct

    Incorrect

  37. Question 37 of 45
    37. Question

    In reference to the Balance Sheet, what are the company’s total assets?

    Correct

    Incorrect

  38. Question 38 of 45
    38. Question

    In reference to the Balance Sheet, what is the company’s total net worth?

    Correct

    Incorrect

  39. Question 39 of 45
    39. Question

    An hourly employee receives $18.00/hr. His workers comp insurance is 20%, social security is 6.2%, Medicare is 1.8%, and liability insurance is $0.25/hr. The employee’s hourly cost is:

    Correct

    Incorrect

  40. Question 40 of 45
    40. Question

    John Doe earned $560.00 on his last paycheck. At 6.2% for social security, what was the deduction for social security tax?

    Correct

    Incorrect

  41. Question 41 of 45
    41. Question

    According to fair labor practices, if John Doe is paid $18.00/hr and he worked 51 hours, his total earning are

    Correct

    Incorrect

  42. Question 42 of 45
    42. Question

    You are bidding on a job with a total direct cost of $48,000. The overhead for your company is 10% of direct costs. What would you need to bid in order to make a profit of $7,100?

    Correct

    Incorrect

  43. Question 43 of 45
    43. Question

    Calculate how much tax should be refunded or paid based on the following information:Federal Income tax you have paid for the year= $4,754Federal Income tax owed for the year = $5,797

    Correct

    Incorrect

  44. Question 44 of 45
    44. Question

    Financing for a new home requires a 20% down payment. What would be the amount financed if the cost of the home is $164,062?

    Correct

    Incorrect

  45. Question 45 of 45
    45. Question

    You are bidding on a kitchen renovation for a customer. You estimate the following costs:Materials = $2,500 Labor = $1,400You will need to add 12% of direct costs to cover your overhead and 5% of total cost to make the profit margin you desire. What will be your estimate for the job?

    Correct

    Incorrect

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