Robert Hurt,
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1. You just wrapped up a contract project that paid $68,000 in gross income. Your state tax rate is 2.5%, and your federal tax rate is 24%. How much total will you owe in income taxes from this contract?
A. $18,020
B. $18,120
C. $18,220
D. $18,320
E. $18,620
Key: 24% + 2.5% = 26.5% x 68,000 = 18,020 is the correct answer
2. Alex and Ben partnered to vacuum 48 rooms. In three hours, they both vacuumed 2/6 of the rooms. How many more rooms do they have left to vacuum?
A. 26
B. 28
C. 30
D. 32
E. 34
Key: If 2/6 rooms were vacuumed, then 4/6 rooms are left. 4/6 of 48 is 32. 32 is the correct answer
3. Luis got a passing grade on 7 of his last 9 quizzes. What decimal represents this proportion?
A. 0.67
B. 0.70
C. 0.75
D. 0.78
E. 0.80
Correct Answer: D. 0.78
Rationale: 7 ÷ 9 ≈ 0.78.
4. You’re solving a puzzle box for a number that changes its display based on levers. Lever M increases the number by 4, Lever N increases it by 2, Lever O decreases it by 5, and Lever P decreases it by 12. You pulled Lever N once, then Lever P once, then Lever M two times. The final display reads 138. What number was originally displayed?
A. 138
B. 139
C. 140
D. 141
E. 142
Correct Answer: C. 140
Rationale: Since you are given the end result, 38, AND since you are given chronological instructions, use those chronological instructions backwards and invert each operation.
138 – 8 = 130, then
130 + 12 = 142, then
142 – 2 = 140.
140 is your answer.
5. A delivery of 15 boxes reached a print shop, each box containing 8 journals. When unpacked, 6 journals were torn. What percentage of the shipment was damaged?
A. 5.0%
B. 5.5%
C. 6.0%
D. 6.8%
E. 7.2%
Correct Answer: A. 5.0%
Rationale: 15 boxes of 8 journals in each box = 15 × 8, which is 120 journals.
6 of the 120 journals were damaged, which means we should divide.
6 ÷ 120 = 0.05, which is 5.0%.
6. Each roll of carpet covers 5 and 1/4 square yards. If a contractor uses 5 rolls, how many square yards will be covered?
A. 25 and 1/4
B. 26
C. 26 and 1/4
D. 26 and 1/2
E. 26 and 3/4
Correct Answer: C. 26 and 1/4
Rationale: 1 roll covers 5 and 1/4 square yards, so we multiply to get the total for 5 rolls.
Convert the 5 and 1/4 into an improper fraction (21/4)
(21/4 × 5 = 105/4 = 26 and 1/4).
Rewritten as a mixed number, this is 26 and 1/4.
26 and 1/4 is the correct answer.
7. Four members of Elite Auto Wash are detailing cars.
Worker A details 1 car every 15 minutes
Worker B details 1 car every 20 minutes
Worker C details 1 car every 30 minutes
Worker D is a trainee and details 1 car every 60 minutes
If all four work together for 3 hours, how many cars will be completed?
A. 30
B. 31
C. 32
D. 33
E. 34
Correct Answer: A. 30
Rationale: This represents a “work rate”, so we need to translate their work into a common unit of measurement, which is “per-hour”.
A – 4 cars/hour;
B – 3 cars/hour;
C – 2 cars/hour;
D – 1 car/hour
Collectively, they can all detail 10 cars an hour. Make this an equation and find the multiplier (3)
10 panels (* 3) = 1 hour (* 3)
30 cars = 3 hours
30 is the correct answer.
8. A subscription analytics tool offers two pricing tiers:
Plan A: $13 base + $0.006 per transaction for the first 6,000 transactions, then $0.009 per transaction after that
Plan B: $54 base + $0.003 per transaction (flat rate, no tiers)
If a business averages 10,000 transactions per month, what is the average unit transaction cost under the more cost-effective plan?
Formula: (total cost / total transactions)
A. $0.00840
B. $0.00845
C. $0.00850
D. $0.00855
E. $0.00870
Key:
A – (13 + (.006 * 6,000) + (.009 * 4,000) = 13 + 36 + 36 = 85)
B – (54 + (0.003 * 10,000) = 54 + 30 = 84)
Since B is cheaper, calculate the average unit cost: cost / transactions
Therefore, $84.00 / 10,000 = 0.0084
0.0084 is the correct answer
9. The diagram below represents tables A, B, & C. The length of the rectangle, the longer side, is 92 feet long. The width of the rectangle is 40 feet long. Circle A is equivalent to Circle C, and the difference between r and s is 6. If the area of circle B is 420.77% of the area of circle A, what is the radius of circle A?
Area of circle = 3.14 * radius2

A. 8.63
B. 8.74
C. 9.11
D. 9.43
E. 9.75
Key: Honestly, most of the information given is irrelevant.
Area of circle B = pi * radius2, and the width of the rectangle is the diameter of circle B, which is 40. Half of this is the radius of Circle B.
Area of circle B = 3.14 * 202 , which calculates to 1256.
1256 = area of circle A * 420.77% (divide both sides by 4.2077)
298.5 = area of circle A
298.5 = 3.14 * radius2 (divide both sides by 3.14)
95.0637 = radius2 (find the square root)
9.75 is radius.
10. Determine the height of the cylinder below that would have a volume of approximately 13,000 cubic cm and a radius of 22.5 cm.
Volume of cylinder = (3.14 * radius2 * height)

A. 6 cm
B. 7 cm
C. 8 cm
D. 10 cm
E. 11 cm
Key: Volume of cylinder = (3.14 * radius2 * height)
13,000 = (3.14 * 22.52 * height) (You should divide both sides by 506.25)
25.68 = (3.14 * height) (You should divide both sides by 3.14)
8.18 = (height)
8 is the correct answer.