Flashcards in Calculation & Estimating Questions Deck (35):

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1 – A contractor bids a project based on the below figures:

A Building Contractors cost on this job.

$ 1,000 in equipment

$ 3,000 in labor

$ 6,000 in materials

Owner has offered contractor $ 12,000 to do job. What would be the outcome if contractor takes the $ 12,000 offer?

1 – Project overhead is 20% of direct labor = $ 600.00

2 – Overhead is 10% of direct labor cost and materials = $ 900.00

3 – Profit is 10% on all of the costs = $ 1,150.00

Total cost for this project is $ 12,650.00

### A profit of only $ 500.00

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## 2 – How many sheets of 4’ x 8’ plywood would it take to form a freestanding concrete wall 8 feet high by 24 feet long 12 inches thick?

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Answer: 13

** Remember when forming a concrete wall out of plywood that you have to form the ends also. So each end would take a piece of plywood 1 foot by 8 feet high. Each side would require 6 4’ x 8’ pieces and the end would take 2 1 foot by 8 pieces. The answer is 12 -1/2 pieces so the best answer is 13. It may help to draw a picture.

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– There is an excavated hole that is 11 feet deep with a flat area on the bottom that is 3 feet wide with Type C soil. What is the width at the top of this excavation?

### Answer: 36 feet Note: It may help to draw a picture and look up info in Excavations in the OSHA Book

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## – What is the formula for calculating concrete?

### Answer: Divide cubic feet by 27

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5 – An owner wants the contractor to add a change order for $ 2500 for materials and $ 700 for labor. There is a deduction from the contract of $ 1000 for materials and 280 for labor. The contractor will add 10% to his change order and will also give back the 10% on the deductions. What will be the net change order to add to the contract?

### Answer: $2,112.00 to be billed

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## 6 – You are excavating an area 245 feet by 350 feet; the equipment can remove 100 cubic yards per hour. If you need 6 inches of grade cut off the whole area, how many hours would it take?

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Answer: 15.88 hours probably 16 hours

Formula: 245 x 350 x .50 divided by 27 divided by 100 = 15.88 hours

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## 7 – Parking lot is 140 feet wide and slopes 1/8th inch per foot. The highest elevation is 80 feet. What is the lowest elevation?

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Answer: 78.54 feet

Formula: 140 divided by 8 = 17. 5 inches 80.00 – 1.46 = 78.54

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## 8 – If you have a rise of 88 feet in one mile, what would the rise be?

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Answer: 1.7 %

Formula: 88 feet divided by 5,280 = 1.67 %

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9 – You are building a 48’ x 28’ single story house with a 8:12 straight gable roof and the sides are 96” from sole plate to top plate. How many 4’ x 8’ sheets of wall sheathing are required? Do not deduct for door or window openings or for any waste.

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Answer: 47 pieces

Formula: 48 feet plus 28 feet x 2 x 8 feet = 1,216 square feet of sides

14 feet x .67 = 9.38 x 14 feet divided by 2 x 2 = 131.32 x 2 (both ends) = 262.64 square + 1,216 square feet divided by 32 = 46.20 pieces

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## 10 – There is a 24’ long, 2” x 4” construction fir wall that has a double top plate, a single bottom plate with (19) 8’ studs. Fir costs $750 per thousand board feet. How much will it cost for the lumber on this wall? Do not allow for waste.

### Answer: $112.00 --Formula: 2 x 4 x 224 divided by 12 = 149.33 board feet x $.75 = $ 112.00

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## – What is the percent of grade if vertical is 83 feet and horizontal is 277 feet?

### Answer: 29.96 % Formula: 83 divided by 277 = 29.96 %

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12 – What would be the total cost of workman’s compensation insurance for a company if the main office salary was at $ 125,000 at $ 1.20 per hundred and the field salaries were $ 250,000 at $ 8.50 per hundred?

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Answer: $ 22,750.00

Formula: $ 125,000 divided by 100 = 1,250 x $ 1.20 = $ 1,500.00

$ 250,000 divided by 100 = 2,500 x $ 8.50 = $ 21,250.00

$ 22,750.00

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## 13 – What would be the total cost of workman’s compensation insurance for a company if the main office salary was at $ 125,000 at $ .10 per hundred and the field salaries were $ 250,000 at $ .20 per hundred?

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Answer: $ 625.00

Formula: $ 125,000 divided by 100 = 1,250 x $.10 = $ 125.00

$ 250,000 divided by 100 = 2,500 x $.20 = $ 500.00

$ 625.00

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14 – A company has current assets of $ 250,000 and current liabilities of $ 180,000. Their fixed assets are $ 1,500,000 and long term debt is $ 750,000. Their bonding capacity is 10 times their working capital, what is their bonding capacity?

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Answer: $ 700,000.00

Formula: Working capital = Current assets $ 250,000 minus current liabilities $180,000= working capital which is $ 70,000. Bonding is 10 times working capital = $ 70,000

Note: Fixed assets and long term debt mean nothing $ 70,000 x 10 = $ 700,000

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15 – A contractor uses the accrual method of accounting. He has $ 6,000 billing for May, a $ 10,000 billing for June. He receives $ 6,000 in June payments and he pays his total bills of $ 1,000 in May and total bills of $ 5,000 in June. What is his profit for June?

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Answer: $5,000.00

Formula: $ 10,000 billing for June less $ 5,000 bills in June = $ 5,000 profit

The month of May has no bearing on answer, only June accounting.

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## 16 – A concrete footing needs to have a load supported on it of 252 kips, with a soil bearing capacity of 6,000 pounds per square foot. How many square feet will this footing have to be?

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Answer: 42 square feet

Formula: 252 kips or 252,000 pounds divided by 6,000 pounds = 42 square feet

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17 – If you have a pier or pier footing that is 7’0” x 7’0” by 1’6” deep using 4,000 psi concrete. The soil that is footing is sitting on has a bearing capacity of 2,000 pounds per square foot. What is the maximum load that soil can bear with this footing in kips?

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Answer: 98 kips or 98,000 pounds

Formula: The area of 7 feet x 7 feet x 2,000 pounds per square foot = 98,000 pounds

The depth of the footing and 4,000 psi concrete has no bearing on answer

98,000 pounds or 98 kips

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18 – A question that said if you have 2 workers working 40 hours in 5 days (which is 8 hours per day) how many____ workers would do the same job in 2 days. The answers given were 2, 3, 4, 5,

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Answer: 5 workers in 2 days

Formula: Figure the man hours worked first. 2 workers x 40 hours = 80 man hours

80 man hours divided by 16 (2 – 8 hour days) = 5 workers in 2 days

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19 – A question dealing with paint coverage. They will give you how much area a gallon of paint will cover for the first coat and the second coat and the cost per gallon. They then want you to figure the area of a wall on the drawings and figure what the cost will be to paint both sides of a wall. I don’t know either of these figures so I am making this one up.

1 – Gallon of paint is $ 20.00

2 – A gallon of paint will cover 400 square feet

3 – The wall measures 40 feet long and 10 feet high

Each side of the wall is 400 square feet and both sides receive paint

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400 x 2 = 800 square feet divided by 400 square feet = 2 x $ 20.00 per gallon = $ 40.00

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## 20 – A road is 26’ 6” wide. From the center of the road, the slope drops 2% to the edge. What is the elevation drop at the edge of the road?

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Answer: The actual answer is 3 - 3/16 inch. Probably the answer they are looking for is a 4 inch drop.

Formula: Half of the road width to get to center which is 13’3”

13.25 x .02 = .265. This in inches is 3-3/16 inches

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## 21 – Contactor agrees to a unit price contract to produce work for $50 per unit A, for $150 per unit B, and $ 375 per unit C. Contractor is to add 30% for overhead and profit. How much should he be paid for productivity for 27 units for A, 56 units for B, and 78 for C?

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Answer: More than $50,800.00

Formula: $ 50.00 x 27 = $ 1,350.00

$ 150.00 x 56 = $ 8,400.00

$ 375.00 x 78 = $ 29,250.00

$ 39,000.00

Overhead/profit 30% $ 11,700.00

Total $ 50,700.00

Note: The actual answer is $ 50,700.00 but use answer above as best one.

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## 22 – Compressed fill materials for footings does not require specifications for the equipment used for compaction. The excavation is 50 feet x 80 feet x 9 feet, how many cubic yards will be excavated?

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Answer: 1000 – 2000 cubic yards

Formula: 50 feet x 80 feet x 9 feet divided by 27 = 1,333.33 cubic yards

Note: The actual amount is 1,333.33 cubic yards but use answer above.

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23 – A 50 foot wide road has an elevation in the center of 26’4” with a slope to the edge of 2%, what is the elevation at the edge?

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nswer: 25.83

Formula: The center of the road is 25’0”

25.00 x .02 = .50 or 6 inches

26.33 - .50 = 25.83

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This question is like question # 23 with different elevation.

24 – There is a 50 foot roadway that has a 2% slope from the center. The center of the road has an elevation of 26.20. What is the elevation of the edge of the road?

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Answer: 25.70

Answer: None of the above (all answers were incorrect)

Formula: The center of the road is 25’0”

25.00 x .02 = .50 or 6 inches 26.20 - .50 = 25.70

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25 – An area is 100 feet long and 60 feet wide that needs to excavated 4 foot deep. How much soil needs to be removed?

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Answer: 889 cubic yards

Formula: 100.00 x 60.00 x 4.00 = 24,000 cubic feet divided by 27 = 888.89 cubic yards

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26 – How many cubic yards of dirt will be removed from an area 50 feet x 80 feet x 9 feet deep?

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Answer: 1,333.33 cubic yards.

Formula: 50.00 x 80.00 x 9.00 = 36,000 cubic feet divided by 27 = 1,333.33 cubic yards

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27 – How many cubic yards of dirt needs to be removed from a bank that is 9 feet by 9 feet x 6 feet deep that has a 1.5% swell factor?

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Answer: 18.27 cubic yards – probably exam answer is 19 or 20 yards

Formula: 9.00 x 9.00 x 6.00 x 1.015 divided by 27 = 18.27 cubic yards

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## 28 – A contractor has a cost plus job with labor and materials that total $ 60,000.00 and has a markup of 40%. The owner has stated that if the contractor can keep the construction cost under $ 100,000.00 that he will receive a 10% bonus and also if he can finish the project early he will receive $ 500.00 per each day of finishing early. The project was finished 5 days early, what is the total bill owed to the contractor?

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Answer: Over $ 95,000

Formula: $ 60,000.00 x 1.40 (40% mark-up) = $ 84,000.00

$ 84,000.00 + $ 2,500.00 (finishing 5 days early) = $ 86,500.00

$ 86,500.00 x 1.10 (10% bonus) = $ 95,150.00

The total cost was $ 95,150.00 if you add your 10% bonus after the $ 2,500.00 saving for finishing early.

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29 – When estimating concrete, the formula is to multiply length x:

### answer: Width x depth divided by 27

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30 – The insurance company is giving a 10% discount to the contractor for safety coverage. The insurance premium is $300.00 per month with an additional cost of $400.00 for a one time set up fee and $15.00 per month fee to run the coverage. What would be the total insurance premium to the contractor for the next 3 years?

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answer: $ 10,566.00

Formula: $ 300.00 x 36 months (3 years) = $ 10,800.00

$ 15.00 x 36 months (3 years) = $ 540.00

$ 400 set up fee (one time) = $ 400.00

$ 11,740.00

$ 11,740 x .10 (10% discount) = $ - 1,174.00

$ 10,566.00

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(This question is worded like # 30 but different equation)

31 – The insurance company is giving a 10% discount to the contractor for safety coverage. The insurance premium is $300.00 per month with an additional cost of $400.00 for a one time set up fee and $15.00 per month fee to run the coverage. What would be the total savings over a 3 year period?

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Answer: $ 1,174.00

Formula: $ 300.00 x 36 months (3 years) = $ 10,800.00

$ 15.00 x 36 months (3 years) = $ 540.00

$ 400 set up fee (one time) = $ 400.00

$ 11,740.00

$ 11,740 x .10 (10% discount) = $ 1,174.00

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32 – What is a firm’s return on total assets if the current assets are $ 80,000, the fixed assets are

$ 112,000 and the inventory included in the fixed assets are $ 12,000. The company’s current liabilities are $ 30,000 and the long term liabilities are $ 86,000. The total net income for the year is $ 57,000.

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Answer: 29.7%

Formula: Net profit ($ 57,000) divided by total assets ($ 192,000) =

Return on total assets or 29.7%

Note: Inventory is included in the fixed assets and current and long term liabilities don’t have any bearing.

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## 33 – Workers compensation is calculated per $ 100.00. What would be the total cost of workman’s compensation insurance for a company if the main office salary was at $ 25,000 at $ .10 per hundred and the field salaries were $ 125,000 at $ .20 per hundred?

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Answer: $ 275.00

Formula: $ 25,000 divided by 100 = 250 x $ .10 = $ 25.00

$ 125,000 divided by 100 = 1250 x $ .20 = $ 250.00

$ 275.00

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## 34 – On an architectural plan that shows a loading dock wall that is 4 1/2 inches long with a 1/4 inch scale, what is the actual length of this wall?

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Answer: 18 feet

Formula: 4 ½ inches (4.5) divided by ¼ inch (.25) = 18 feet

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