TheoryFree GED Practice Test
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GED Questions
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Q1A store marks up a wholesale price of $40 by 25%. What is the final retail price?
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✓ Correct answer: $50.00
A 25% markup on $40 equals $40 × 1.25 = $50.00; markup means multiplying the original price by (1 + rate).
Q2On a number line, which integer is closest to −7.8?
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✓ Correct answer: −8
−7.8 lies between −8 and −7, and since |−7.8 − (−8)| = 0.2 while |−7.8 − (−7)| = 0.8, the nearest integer is −8.
Q3A recipe calls for 2¾ cups of flour. If you want to make 1½ times the recipe, how many cups of flour do you need?
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✓ Correct answer: 4⅛ cups
Converting to improper fractions: (11/4) × (3/2) = 33/8 = 4⅛ cups; multiplying mixed numbers requires converting to improper fractions first.
Q4Which of the following is equivalent to 3⁻²?
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✓ Correct answer: 1/9
A negative exponent denotes the reciprocal of the base raised to the positive exponent: 3⁻² = 1/3² = 1/9.
Q5A car travels 180 miles on 6 gallons of fuel. At the same rate, how many gallons are needed for a 255-mile trip?
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✓ Correct answer: 8.5 gallons
The unit rate is 180 ÷ 6 = 30 miles per gallon; dividing 255 by 30 gives 8.5 gallons, using the proportional relationship distance = rate × gallons.
Q6Solve for x: 4(x − 3) + 2x = 18
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✓ Correct answer: x = 5
Distributing gives 4x − 12 + 2x = 18, so 6x = 30, yielding x = 5; check: 4(5−3) + 2(5) = 8 + 10 = 18 ✓.
Q7A bank account earns simple interest. After 3 years the account holds $1,180, having started with $1,000. What is the annual interest rate?
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✓ Correct answer: 6%
Using I = P × r × t: $180 = $1,000 × r × 3, so r = 180/3000 = 0.06 = 6%.
Q8Point A is at (−3, 4) and point B is at (5, −2). What is the midpoint of segment AB?
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✓ Correct answer: (1, 1)
The midpoint formula gives ((−3+5)/2, (4+(−2))/2) = (2/2, 2/2) = (1, 1).
Q9Which value of x satisfies both inequalities: 3x − 7 < 2x + 5 AND x > −1?
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✓ Correct answer: x = 0
The first inequality simplifies to x < 12; combined with x > −1, the solution set is −1 < x < 12, so only x = 0 falls within that range.
Q10A tank is 40% full and contains 120 liters. What is the tank's total capacity?
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✓ Correct answer: 300 liters
If 40% of capacity C equals 120 liters, then C = 120 ÷ 0.40 = 300 liters, using the percent equation part = percent × whole.
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