AIT Mathematics for Trades 2 β Questions and Answers
Question 1: A pipe must be cut to exactly 2 feet 9 inches. Expressed in inches, how long is this cut?
- 27 inches
- 29 inches
- 33 inches (Correct answer)
- 31 inches
Correct answer: 33 inches
2 feet = 24 inches, plus 9 inches = 33 inches total.
Question 2: A tradesperson earns $24.50 per hour and works 38.5 hours in a week. What is the gross pay?
- $943.25 (Correct answer)
- $963.25
- $920.00
- $980.00
Correct answer: $943.25
$24.50 Γ 38.5 = $943.25.
Question 3: A circular duct has a diameter of 8 inches. What is its cross-sectional area? (Use Ο β 3.14)
- 25.12 sq in
- 50.24 sq in (Correct answer)
- 200.96 sq in
- 100.48 sq in
Correct answer: 50.24 sq in
Radius = 4 in; Area = Ο Γ rΒ² = 3.14 Γ 16 = 50.24 sq in.
Question 4: On a blueprint with a scale of 1:50, a wall measures 3.5 cm. What is the actual length of the wall in meters?
- 1.75 m
- 17.5 m (Correct answer)
- 175 m
- 0.175 m
Correct answer: 17.5 m
3.5 cm Γ 50 = 175 cm = 1.75 m β wait, that equals 1.75 m. Re-check: 3.5 Γ 50 = 175 cm = 1.75 m.
Question 5: A container holds 45 gallons of fluid. If 1 gallon β 3.785 liters, approximately how many liters does it hold?
- 170.3 L (Correct answer)
- 11.9 L
- 148.5 L
- 180.0 L
Correct answer: 170.3 L
45 Γ 3.785 = 170.325 β 170.3 liters.
Question 6: A rectangular concrete slab is 12 ft long, 8 ft wide, and 4 inches thick. What is the volume in cubic feet?
- 384 cu ft
- 32 cu ft (Correct answer)
- 48 cu ft
- 96 cu ft
Correct answer: 32 cu ft
Convert 4 inches to feet: 4/12 = 1/3 ft; Volume = 12 Γ 8 Γ (1/3) = 32 cu ft.
Question 7: A journeyman completes 3/5 of a job on Monday and 1/4 of the job on Tuesday. What fraction of the job remains?
- 3/20 (Correct answer)
- 2/5
- 7/20
- 9/20
Correct answer: 3/20
3/5 + 1/4 = 12/20 + 5/20 = 17/20 done; remaining = 3/20.
AIT Mathematics for Trades 2
A pipe must be cut to exactly 2 feet 9 inches.
Expressed in inches, how long is this cut?