Free IBEW Aptitude Test Fractions, Decimals, and Percentages Questions and Answers 1 — Questions and Answers
Question 1: An electrician's hourly wage is $32.00. After a union negotiation, they receive a 4.5% raise. What is their new hourly wage?
- $32.45
- $33.44 (Correct answer)
- $36.50
- $33.80
Correct answer: $33.44
To find the raise amount, multiply the original wage by the percentage expressed as a decimal: $32.00 * 0.045 = $1.44. Then, add the raise amount to the original wage to find the new hourly rate: $32.00 + $1.44 = $33.44.
Question 2: An electrical plan has several measurements listed for the required spacing between conduits. Which of the following values is the largest?
- 5/8 inch
- 0.620 inch
- 65%
- 2/3 inch (Correct answer)
Correct answer: 2/3 inch
To compare the values directly, convert them all to decimals: 5/8 = 0.625; 0.620 is already a decimal; 65% = 0.65; and 2/3 is approximately 0.667. Comparing these decimal values, 0.667 is the largest.
Question 3: A 500-foot spool of wire has had 3/8 of its length used for a rough-in. How many feet of wire remain on the spool?
- 187.5 feet
- 250.0 feet
- 312.5 feet (Correct answer)
- 375.0 feet
Correct answer: 312.5 feet
First, determine the fraction of wire remaining, which is 1 - 3/8 = 5/8. Then, multiply the total length by this fraction: 500 feet * (5/8) = 2500 / 8 = 312.5 feet. Alternatively, calculate the used portion (500 * 3/8 = 187.5) and subtract it from the total (500 - 187.5 = 312.5).
Question 4: A blueprint requires a hole to be drilled with a diameter of 7/16 inches. What is this measurement expressed as a decimal?
- 0.4255
- 0.5625
- 0.7160
- 0.4375 (Correct answer)
Correct answer: 0.4375
To convert a fraction to a decimal, the numerator is divided by the denominator. In this case, 7 divided by 16 equals 0.4375.
Question 5: An electrical supply house offers a 15% discount on a bulk order of fixtures that costs $860.00. After the discount, a 6% sales tax is applied. What is the final total cost?
- $729.14
- $774.86 (Correct answer)
- $783.56
- $816.20
Correct answer: $774.86
First, calculate the discount amount: $860.00 * 0.15 = $129.00. Subtract this from the original price: $860.00 - $129.00 = $731.00. This is the new subtotal. Now, calculate the sales tax on this subtotal: $731.00 * 0.06 = $43.86. Finally, add the tax to the discounted price: $731.00 + $43.86 = $774.86.
Question 6: An apprentice correctly terminates 45 out of 50 wires in a control panel. What percentage of the wires were terminated correctly?
- 85%
- 90% (Correct answer)
- 45%
- 95%
Correct answer: 90%
To find the percentage, create a fraction of the correctly terminated wires over the total number of wires, which is 45/50. To convert this fraction to a percentage, divide the numerator by the denominator (45 ÷ 50 = 0.9) and then multiply the result by 100 (0.9 * 100 = 90%).
Free IBEW Aptitude Test Fractions, Decimals, and Percentages Questions and Answers 1
An electrician's hourly wage is $32.00.
After a union negotiation, they receive a 4.5% raise.
What is their new hourly wage?