Chapter 12 Quiz — Estimating Fundamentals

22 questions. Work them before opening any answer. Scoring guide at the end.


Multiple Choice (10)

Q1. A slab is 26,400 SF at 4 inches thick. How many cubic yards of concrete does the geometry require?

A. 244 CY B. 326 CY C. 733 CY D. 8,800 CY

Answer

B. 326 CY. 26,400 × (4 ÷ 12) ÷ 27 = 26,400 × 0.3333 ÷ 27 = 8,800 ÷ 27 = 325.9 CY. Answer D is the volume in cubic feet — the most common version of this error, and the one that produces a 27× overrun on a purchase order.

Q2. Which of the following changes will increase the formwork quantity on a foundation wall?

A. Increasing the wall thickness from 10 inches to 16 inches B. Increasing the concrete strength from 3,000 psi to 5,000 psi C. Increasing the wall height from 8 feet to 10 feet D. Increasing the reinforcing from #5 bars to #7 bars

Answer

C. Formwork is measured in square feet of contact area — length × height × number of faces. Thickness does not appear in the formula (A affects tie hardware and bracing, not SFCA); strength and bar size do not affect surface area at all. This is the single most useful counterintuitive fact in concrete estimating.

Q3. You have 32,000 BCY to export. Swell is 25%. Your hauler quotes $18.50 per loose cubic yard. What is the correct extended cost?

A. $592,000 B. $740,000 C. $476,000 D. $800,000

Answer

B. $740,000. 32,000 BCY × 1.25 = 40,000 LCY; 40,000 × $18.50 = $740,000. Answer A is the uncorrected extension — a $148,000 error, and one of the most common unit-conversion failures in sitework estimating.

Q4. A carpenter's base wage is $34.00/hr and the fully burdened cost is $50.47/hr. What is the burden factor?

A. 1.484 B. 0.674 C. 1.674 D. 48.4

Answer

A. 1.484. $50.47 ÷ $34.00 = 1.484, i.e., a 48.4% burden. Answer D confuses the percentage of burden with the factor; multiplying a wage by 48.4 is a memorable disaster.

Q5. The same $26.00/hr laborer costs $39.51/hr burdened in a framing crew and $40.74/hr burdened in a trench crew. What accounts for the difference?

A. Overtime premium B. Different health and welfare contributions C. A different workers' compensation class code D. A different union agreement

Answer

C. Workers' compensation is priced by class code, and excavation work carries a higher manual rate than interior carpentry. Same person, same wage, different work, different cost. An estimating system that carries one burdened rate per classification for an entire job is wrong somewhere.

Q6. You mark up a $1,000,000 cost by 10%. What is your margin?

A. 10.00% B. 11.11% C. 9.09% D. 9.90%

Answer

C. 9.09%. Price = $1,100,000; profit = $100,000; margin = 100,000 ÷ 1,100,000 = 9.09%. Answer B is the markup you would need to achieve a 10% margin. Both formulas: markup = margin ÷ (1 − margin) and margin = markup ÷ (1 + markup).

Q7. In the unit cost formula, which term does not change when a crew's production rate drops?

A. Labor per unit B. Equipment per unit C. Material per unit D. All three change proportionally

Answer

C. Material per unit. Labor and equipment are time-based costs converted to unit costs by dividing by the production rate; slow the crew and both rise. Material is quantity-based — you install the same amount of it regardless of how long you take. This asymmetry is why a 15% production loss produces a 14.3% total unit-cost increase but a 17.6% increase on the time-based portion.

Q8. A model-based quantity extraction is described as "LOD 300." Which quantity is it most appropriate to rely on?

A. The number of layers of gypsum board on each partition B. The linear feet and location of partitions C. The gauge and spacing of studs D. The fire rating of each wall assembly

Answer

B. At LOD 300, geometry and location are generally reliable; materials, assemblies, and specification-driven properties are not. Extracting board layers, stud gauge, or ratings from a model built for spatial coordination produces a number with false precision — the most dangerous kind of wrong. See Chapter 35.

Q9. Kestrel's CM fee on Northgate is $1,804,800 on a $47,500,000 GMP. What is the margin?

A. 4.00% B. 3.80% C. 4.17% D. 3.62%

Answer

B. 3.80%. $1,804,800 ÷ $47,500,000 = 3.80%. The fee was negotiated as a 4.0% markup on the $45,120,000 subtotal. A 4% markup is never a 4% margin, and confusing the two on a $47.5M contract is a several-hundred-thousand-dollar conversation.

Q10. Six bidders cluster within 8% of each other and you are 11% below all of them. What is the most likely explanation?

A. Your buying power is superior B. Your overhead structure is leaner C. You are missing scope D. The documents were ambiguous

Answer

C. When the gap between first and second exceeds the gap across the entire rest of the field, six independent estimating departments have agreed with each other and disagreed with you. Buying power and overhead produce a few percent, not a step function at the top of the tab. Answer D would produce a wide overall spread, not a tight cluster with one outlier. Act on this immediately — the withdrawal window in most jurisdictions is short and evidence-hungry.


True / False (6)

Give a one-line justification for each.

Q11. Waste factors should be applied to both the quantity and the unit price to be safe.

Answer

False. Applying waste in both places double-counts it. Pick one place — Kestrel's convention is the quantity, because a quantity you can see is a quantity you can audit — and make it a written company policy so the error is structurally impossible.

Q12. A pounds-per-cubic-yard factor is an acceptable basis for reinforcing steel quantity once the placing drawings have been issued.

Answer

False. The factor is a stand-in for information you do not have. Once a reinforcing schedule and placing drawings exist, the only defensible quantity is bar-by-bar with laps and bends. A 15% factor error on Northgate's foundations is about $41,200.

Q13. The general conditions line in an estimate should be re-run whenever the schedule duration changes.

Answer

True. General conditions are time-driven, not quantity-driven. On Northgate, forty added calendar days at $5,150/CD is $206,000 that appears on no takeoff sheet. This is why the estimate and the CPM schedule are produced together, not in series.

Q14. Digital takeoff reduces the risk of missing an item that is drawn on a sheet you did not open.

Answer

False. On-screen takeoff makes you faster at measuring the drawing you are looking at. Dani's nine missing footings on S-104 would have been missed just as cleanly in Bluebeam. What catches that error is a reconciliation — plan count against schedule total — not a tool.

Q15. Sales tax treatment on construction materials is substantially uniform across the United States.

Answer

False, emphatically. Jurisdictions differ on whether the contractor is the consumer of materials or whether the improvement is taxed, on public-work exemptions, on manufacturing exemptions, on use tax when materials cross a line, and on rates — and the rules change. Confirm the treatment for your jurisdiction and project type, and record the answer in the basis of estimate.

Q16. A bid that states its exclusions clearly on the face of the bid form is always the professional choice.

Answer

False — it depends on the procurement. On a negotiated or CM-at-Risk selection, clarifications are normal and expected. On many public hard bids, a bid that qualifies or conditions its price may be rejected as non-responsive; there, the mechanism for resolving an ambiguity is a pre-bid RFI and an addendum. Know which kind of procurement you are in before you write a single exclusion.


Short Answer (4)

Q17. Explain, in three or four sentences, why the chapter says the estimator's real product is not a number.

Answer

An estimate is produced before the work happens, from incomplete documents, by people who will not do the work, for conditions nobody has seen. Under those constraints no number can be reliably correct — but the statement of what the number assumed can be. A documented assumption is a claim that can be checked, priced, insured, negotiated, or transferred by contract; an undocumented one can only be discovered, usually by an owner's rep, at the worst possible moment. So the profession optimizes for the thing that can actually be made reliable: the documented set of decisions the number rests on.

Q18. Two concrete elements each contain exactly 37 CY. One is a 100-foot wall, 12 inches thick, 10 feet tall. The other is a pad 20' × 15' × 3'-4". Compute both formwork quantities and explain the result in one sentence.

Answer

Wall: 100 LF × 10 ft × 2 faces = 2,000 SFCA. Pad: perimeter 2 × (20 + 15) = 70 LF × 3.333 ft = 233 SFCA. An 8.6-to-1 difference on identical concrete volume, because formwork is driven by surface geometry — a wall is nearly all surface, a pad is nearly all interior. At $6.28/SFCA that is $12,560 versus $1,463; on the wall, the forms cost 40% more than the concrete.

Q19. Name the six sections of a basis-of-estimate document, and state which one is most often omitted and why its absence matters.

Answer

(1) Quantities and their source; (2) unit costs and their source; (3) assumptions; (4) inclusions; (5) exclusions; (6) risks priced and not priced. The sixth is the one most often omitted — and it is the one every claim needs, because entitlement arguments turn on whether a risk was priced, was excluded, or was carried by allowance. Without it, the question "did you price this?" has no contemporaneous answer.

Q20. Your historical database says 1,050 SF of partition framing per crew-day. What is the most important thing you need to know about that number before you use it, and why?

Answer

The conditions under which it was collected. A rate is meaningless without its context: clear access or congested, single trade or stacked, ground floor or lift-dependent, day shift or overtime, occupied building or empty shell. Ray's $310,000 mistake was applying a warehouse framing rate (1,180 SF/CD) to an occupied hospital corridor that produced 540 SF/CD. The rate was not the error; the undocumented rate was the error, because nobody could see the assumption in order to challenge it.


Applied Scenarios (2)

Q21. You are pricing 9,600 SFCA of foundation wall formwork. Your crew is 1 foreman ($66.54 burdened), 3 carpenters ($50.47 each), and 1 laborer ($39.51). Production is 465 SFCA per 8-hour day. Material is $1.18/SFCA. A forklift is charged at $310/day.

(a) Compute the unit cost per SFCA and the total. (b) The superintendent tells you the wall has eleven corners and two step-downs, and that you should carry 390 SFCA/day instead. Recompute both figures. (c) State the dollar impact and explain, in one sentence, why the percentage increase in unit cost is smaller than the percentage decrease in production.

Answer

(a) Crew $66.54 + $151.41 + $39.51 = $257.46/hr; day × 8 = $2,059.68. Labor 2,059.68 ÷ 465 = $4.4295`; material `$1.18; equipment 310 ÷ 465 = $0.6667. Unit cost $6.2762/SFCA. Total 9,600 × 6.2762 = $60,252.

(b) Labor 2,059.68 ÷ 390 = $5.2812`; material `$1.18; equipment 310 ÷ 390 = $0.7949. Unit cost $7.2561/SFCA. Total 9,600 × 7.2561 = $69,659.

(c) Impact +$9,407. Production fell 16.1% but the unit cost rose only 15.6%, because material ($1.18/SFCA) is quantity-based and does not scale with time — only the labor and equipment terms inflate, and they inflate by 1 ÷ 0.839 = 19.2%.

Q22. A junior estimator gives you a footing takeoff totalling 1,129 CY. The footing schedule lists 148 footings; their plan count is 139. Their sheet has no waste line, and they carried the F-6 marks at 3'-6" where the schedule says 4'-0".

(a) Classify each of the three errors as a completeness, reading, or conceptual error. (b) For each, name a specific control — not an exhortation — that would prevent recurrence. (c) The corrected quantity is 1,240 CY. Kestrel's margin on Northgate is 3.80%. If the loaded value of the 111 CY miss is about $43,000, how much revenue must Kestrel build to earn it back?

Answer

(a) Nine missed footings = completeness (the measurement was right, the boundary was wrong). F-6 thickness = reading (the boundary was right, the input was wrong). No waste line = conceptual (both were right, and the model of what an estimate buys was wrong).

(b) Completeness: reconcile plan count against schedule total on every takeoff, and maintain a sheet index with a tick for every sheet opened. Reading: a straightedge under the active row on paper, or a highlighted active row on screen, plus a read-back by a second person on scheduled dimensions. Conceptual: a takeoff sheet template with a mandatory waste line that cannot be left blank, and a written company policy stating that waste is applied to the quantity and never to the price.

(c) $43,000 ÷ 0.0380 = $1,131,579 — about $1.13 million of revenue to earn back one line item on one sheet.


Scoring Guide

Score Reading
20–22 You have the mechanics and the judgment. Go price something nobody has priced before.
17–19 (77%+) Ready to proceed to Chapter 13. Re-check the items you missed; they are probably clustered in one section.
15–16 (68%) Solid conceptual grasp, shaky arithmetic. Redo the 📋 Try it drill in §12.7 with different wage rates until the burden build-up is automatic.
12–14 Re-read §12.7 (unit costs from first principles) and §12.9.3 (markup vs. margin), then retake. These two sections carry most of the chapter's working content.
Under 12 Re-read the chapter with a calculator open and work every example alongside the text rather than reading through it. This is a performance chapter; passive reading will not stick.

Regardless of score: if you missed Q6, Q9, or Q22(c), stop and fix that today. Markup-versus- margin and the cost of an error measured in required revenue are the two pieces of arithmetic that change how you behave, not just what you know.