TheoryGED
Practice Test
Practice across all four GED subject areas: Math, RLA, Science, and Social Studies. Build the skills and confidence to earn your high school equivalency credential.
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GED exam — full Q&A walkthrough
Every question read aloud with the answer explained. Play it on your commute, then test yourself.
30 free GED questions
Sampled across every topic area — not just the first page. Try them as a quiz or flip them as flashcards.
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GED
A store marks up a wholesale price of $40 by 25%. What is the final retail price?
Correct — A. A 25% markup on $40 equals $40 × 1.25 = $50.00; markup means multiplying the original price by (1 + rate). -
GED
On a number line, which integer is closest to −7.8?
Correct — C. −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. -
GED
A recipe calls for 2¾ cups of flour. If you want to make 1½ times the recipe, how many cups of flour do you need?
Correct — C. Converting to improper fractions: (11/4) × (3/2) = 33/8 = 4⅛ cups; multiplying mixed numbers requires converting to improper fractions first. -
GED
Which of the following is equivalent to 3⁻²?
Correct — B. A negative exponent denotes the reciprocal of the base raised to the positive exponent: 3⁻² = 1/3² = 1/9. -
GED
A car travels 180 miles on 6 gallons of fuel. At the same rate, how many gallons are needed for a 255-mile trip?
Correct — A. 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. -
GED
Solve for x: 4(x − 3) + 2x = 18
Correct — B. Distributing gives 4x − 12 + 2x = 18, so 6x = 30, yielding x = 5; check: 4(5−3) + 2(5) = 8 + 10 = 18 ✓. -
GED
A bank account earns simple interest. After 3 years the account holds $1,180, having started with $1,000. What is the annual interest rate?
Correct — B. Using I = P × r × t: $180 = $1,000 × r × 3, so r = 180/3000 = 0.06 = 6%. -
GED
Point A is at (−3, 4) and point B is at (5, −2). What is the midpoint of segment AB?
Correct — D. The midpoint formula gives ((−3+5)/2, (4+(−2))/2) = (2/2, 2/2) = (1, 1). -
GED
Which value of x satisfies both inequalities: 3x − 7 < 2x + 5 AND x > −1?
Correct — C. 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. -
GED
A tank is 40% full and contains 120 liters. What is the tank's total capacity?
Correct — B. If 40% of capacity C equals 120 liters, then C = 120 ÷ 0.40 = 300 liters, using the percent equation part = percent × whole. -
GED
On a coordinate plane, line m passes through (0, −1) and (4, 3). What is the slope of any line parallel to m?
Correct — A. Slope of m = (3 − (−1)) / (4 − 0) = 4/4 = 1; parallel lines have equal slopes, so any parallel line also has slope 1. -
GED
A contractor mixes sand and gravel in the ratio 3:5. If the total mixture weighs 480 kg, how many more kilograms of gravel than sand are in the mixture?
Correct — A. Sand = (3/8) × 480 = 180 kg; gravel = (5/8) × 480 = 300 kg; the difference is 300 − 180 = 120 kg. -
GED
Evaluate: (−2)⁴ − 4 × 2³ ÷ 8 + (−3)²
Correct — D. Order of operations: (−2)⁴ = 16; 4 × 2³ ÷ 8 = 4 × 8 ÷ 8 = 4; (−3)² = 9; so 16 − 4 + 9 = 21. -
GED
A laptop's price decreased by 15% and then the reduced price was further cut by 10%. What is the total percentage decrease from the original price?
Correct — B. The retained fraction is 0.85 × 0.90 = 0.765, representing a total decrease of 1 − 0.765 = 0.235 = 23.5%; successive percentage reductions multiply, not add. -
GED
A line has the equation 3y − 6x = 12. What is the x-intercept of this line?
Correct — A. The x-intercept occurs where y = 0: substituting gives −6x = 12, so x = −2; the x-intercept is (−2, 0). -
GED
A worker earns a $12/hour base wage plus weekly commission. One week she worked 40 hours and earned $680 total. The following week, at the same base and hours, she earned $740. By how much did her weekly commission increase from the first week to the second?
Correct — B. Base pay = 40 × $12 = $480; first commission = $680 − $480 = $200; second commission = $740 − $480 = $260; increase = $260 − $200 = $60. -
GED
A rectangular garden measures 14 feet long and 9 feet wide. What is the perimeter of the garden?
Correct — A. Perimeter of a rectangle = 2(length + width) = 2(14 + 9) = 2(23) = 46 feet. -
GED
A bar chart shows monthly rainfall (in inches) for a city: January = 3, February = 2, March = 5, April = 4. What is the mean (average) monthly rainfall for these four months?
Correct — C. Mean = total ÷ number of months = (3 + 2 + 5 + 4) ÷ 4 = 14 ÷ 4 = 3.5 inches. -
GED
A spinner has 8 equal sections numbered 1 through 8. What is the probability of landing on a number greater than 5?
Correct — B. Numbers greater than 5 are 6, 7, and 8 — that is 3 favorable outcomes out of 8 equal sections, giving a probability of 3/8. -
GED
A triangular sail has a base of 12 feet and a height of 7 feet. What is the area of the sail?
Correct — A. Area of a triangle = (1/2) × base × height = (1/2) × 12 × 7 = 42 square feet. -
GED
A ladder leans against a wall. The base of the ladder is 6 feet from the wall, and the ladder reaches 8 feet up the wall. How long is the ladder?
Correct — A. Using the Pythagorean theorem: c² = 6² + 8² = 36 + 64 = 100, so c = √100 = 10 feet. -
GED
A cylindrical water tank has a radius of 3 feet and a height of 10 feet. Using π ≈ 3.14, what is the approximate volume of the tank?
Correct — A. Volume of a cylinder = π × r² × h = 3.14 × 9 × 10 = 282.6 cubic feet. -
GED
The following data set shows the number of hours 7 students studied: 2, 4, 4, 5, 6, 7, 10. What is the median number of hours studied?
Correct — A. When values are ordered, the median is the middle value; with 7 values the 4th value is the median, which is 5 hours. -
GED
A line graph shows a store's weekly sales: Week 1 = $800, Week 2 = $950, Week 3 = $900, Week 4 = $1,150. Between which two consecutive weeks did sales increase the most?
Correct — D. Week 3 to Week 4 shows an increase of $250 (from $900 to $1,150), which is larger than the $150 increase from Week 1 to Week 2 and the $50 decrease from Week 2 to Week 3. -
GED
A tile floor in an L-shaped room can be divided into two rectangles: one measuring 6 m × 4 m and another measuring 3 m × 2 m. If tiles cost $5 per square meter, what is the total cost to tile the floor?
Correct — C. Total area = (6 × 4) + (3 × 2) = 24 + 6 = 30 square meters; cost = 30 × $5 = $150. Wait — that is $150, which is option A. Rechecking: 30 × 5 = 150, so the correct answer is $150. -
GED
A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If one marble is drawn at random, what is the probability that it is NOT red?
Correct — A. Non-red marbles = 3 + 2 = 5 out of 10 total, so probability = 5/10 = 1/2. -
GED
A rectangular box (rectangular prism) has a length of 8 cm, a width of 5 cm, and a height of 4 cm. What is the surface area of the box?
Correct — A. Surface area = 2(lw + lh + wh) = 2(8×5 + 8×4 + 5×4) = 2(40 + 32 + 20) = 2(92) = 184 square centimeters. -
GED
A scatter plot of 10 data points shows the relationship between hours of exercise per week and resting heart rate (beats per minute). The trend line has a negative slope. Which conclusion is best supported by this data?
Correct — A. A negative slope on a scatter plot trend line indicates a negative correlation — as one variable increases the other tends to decrease — but correlation does not establish causation or apply to every individual. -
GED
A square piece of land has an area of 225 square meters. A fence is built around its entire perimeter. If fencing costs $12 per meter, what is the total cost of the fence?
Correct — C. Side length = √225 = 15 m; perimeter = 4 × 15 = 60 m; cost = 60 × $12 = $720. That equals $720, which is option B. -
GED
A right triangle has legs of length x and (x + 7). Its hypotenuse is 13. What is the value of x?
Correct — B. Using the Pythagorean theorem: x² + (x+7)² = 13²; x² + x² + 14x + 49 = 169; 2x² + 14x − 120 = 0; x² + 7x − 60 = 0; factors as (x+12)(x−5) = 0; since x must be positive, x = 5.
GED sample questions
Tap any question below to reveal the answer and a plain-English explanation.
GED The following data set shows the number of hours 7 students studied: 2, 4, 4, 5, 6, 7, 10. What is the median number of hours studied?
A. 5 hours ✓
B. 4 hours
C. 5.4 hours
D. 6 hours
Correct — A. When values are ordered, the median is the middle value; with 7 values the 4th value is the median, which is 5 hours.
GED A line graph shows a store's weekly sales: Week 1 = $800, Week 2 = $950, Week 3 = $900, Week 4 = $1,150. Between which two consecutive weeks did sales increase the most?
A. Week 1 to Week 4
B. Week 1 to Week 2
C. Week 2 to Week 3
D. Week 3 to Week 4 ✓
Correct — D. Week 3 to Week 4 shows an increase of $250 (from $900 to $1,150), which is larger than the $150 increase from Week 1 to Week 2 and the $50 decrease from Week 2 to Week 3.
GED A tile floor in an L-shaped room can be divided into two rectangles: one measuring 6 m × 4 m and another measuring 3 m × 2 m. If tiles cost $5 per square meter, what is the total cost to tile the floor?
A. $165
B. $30
C. $150 ✓
D. $180
Correct — C. Total area = (6 × 4) + (3 × 2) = 24 + 6 = 30 square meters; cost = 30 × $5 = $150. Wait — that is $150, which is option A. Rechecking: 30 × 5 = 150, so the correct answer is $150.
GED A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If one marble is drawn at random, what is the probability that it is NOT red?
A. 1/2 ✓
B. 3/10
C. 2/10
D. 5/10
Correct — A. Non-red marbles = 3 + 2 = 5 out of 10 total, so probability = 5/10 = 1/2.
GED A rectangular box (rectangular prism) has a length of 8 cm, a width of 5 cm, and a height of 4 cm. What is the surface area of the box?
A. 184 sq cm ✓
B. 104 sq cm
C. 200 sq cm
D. 160 sq cm
Correct — A. Surface area = 2(lw + lh + wh) = 2(8×5 + 8×4 + 5×4) = 2(40 + 32 + 20) = 2(92) = 184 square centimeters.
GED A scatter plot of 10 data points shows the relationship between hours of exercise per week and resting heart rate (beats per minute). The trend line has a negative slope. Which conclusion is best supported by this data?
A. People who exercise more tend to have a lower resting heart rate. ✓
B. Resting heart rate has no relationship to exercise.
C. Exercise causes a lower resting heart rate in all people.
D. People with low resting heart rates exercise exactly 5 hours per week.
Correct — A. A negative slope on a scatter plot trend line indicates a negative correlation — as one variable increases the other tends to decrease — but correlation does not establish causation or apply to every individual.
GED A square piece of land has an area of 225 square meters. A fence is built around its entire perimeter. If fencing costs $12 per meter, what is the total cost of the fence?
A. $540
B. $2,700
C. $720 ✓
D. $1,080
Correct — C. Side length = √225 = 15 m; perimeter = 4 × 15 = 60 m; cost = 60 × $12 = $720. That equals $720, which is option B.
GED A right triangle has legs of length x and (x + 7). Its hypotenuse is 13. What is the value of x?
A. 4
B. 5 ✓
C. 3
D. 6
Correct — B. Using the Pythagorean theorem: x² + (x+7)² = 13²; x² + x² + 14x + 49 = 169; 2x² + 14x − 120 = 0; x² + 7x − 60 = 0; factors as (x+12)(x−5) = 0; since x must be positive, x = 5.
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