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25 questions from the electrical apprenticeship aptitude practice test.
10 questions, graded as you go, with the reason for every answer. No sign-up.
An apprenticeship requires 8,000 hours of on-the-job training. An apprentice has completed 5,350 hours and works 50 hours each week. How many more weeks are needed?
Answer in weeks.
53 weeks
Hours remaining = 8,000 − 5,350 = 2,650. Weeks = 2,650 ÷ 50 = 53.
Reference: Two-step rate problems
A journeyman earns $14 more per hour than an apprentice. Together they earn $58 per hour. What is the apprentice's hourly wage?
Answer in dollars per hour.
22 dollars per hour
Let the apprentice earn a. Then a + (a + 14) = 58, so 2a = 44 and a = $22. The journeyman earns $36. Check: 22 + 36 = 58.
Reference: Linear equation word problems
After an 8% raise, an electrician's wage is $27.00 per hour. What was the wage before the raise?
Answer in dollars per hour.
25 dollars per hour
The new wage is 108% of the old one: 1.08 × w = 27.00, so w = 27.00 ÷ 1.08 = $25.00. Check: 8% of $25 is $2, and $25 + $2 = $27.
Reference: Percent increase; finding the original amount