Free GED Math Practice Test 2026: 20 Questions + Answers

A free GED math practice test earns its keep when it does more than hand you a percentage. You need questions that force you to choose a method, work through several steps, interpret information, and check whether the answer you produced actually makes sense for the situation described.

The official GED Mathematical Reasoning test covers four content areas: basic math, geometry, basic algebra, and graphs and functions. You get 115 minutes for about 46 questions. The first short section is non-calculator; the rest allow the TI-30XS or the on-screen version. A GED math formula sheet and a calculator reference sheet are provided throughout. If you are not yet sure which topics appear at all, start with what math is on the GED and come back here afterwards.

The 20 questions below are original GED-style items, not questions lifted from the live exam — no legitimate source publishes those. They are built to demand the same reasoning the official test describes. Every answer has been checked against a full worked solution.

Take the 20-question test first. Then check the answer key and the worked solutions to see which content area needs your attention.

How to Take This GED Math Practice Test

Give yourself about 45 minutes for all 20 questions. That is tighter than the real test, which averages roughly 2.5 minutes per item — and that is deliberate. Mild time pressure exposes the topics you can only do slowly, which is precisely what you want a practice set to reveal while you can still do something about it.

Resist checking the solutions while you work. Reading an explanation too early hides the difference between knowing a method and merely recognizing it once someone shows you.

GED Math Practice Questions

Basic Math and Number Sense

Question 1: Fractions and Decimals

A quality-control report lists four measurements:

• 0.375

• 7/16

• 38%

• 0.4

Which measurement is greatest?

• A. 0.375

• B. 7/16

• C. 38%

• D. 0.4

Question 2: Percentage Change

A manufacturing plant increased its monthly production from 18,400 units to 22,080 units. What was the percentage increase?

• A. 15%

• B. 18%

• C. 20%

• D. 22%

Question 3: Successive Percentages

A computer is listed at $2,400. A store applies a 15% discount. After the discount, an 8.25% sales tax is applied to the discounted price. What is the final price?

• A. $2,040.00

• B. $2,208.30

• C. $2,238.00

• D. $2,598.00

Question 4: Ratios

A laboratory mixes two solutions in a ratio of 5 parts solution A to 8 parts solution B. A technician needs 39 litres of the combined solution. How many litres should be solution A?

• A. 12 L

• B. 15 L

• C. 18 L

• D. 24 L

Question 5: Integers and Order of Operations

Evaluate: −3[4 − 2(7 − 10)] + 5

• A. −30

• B. −25

• C. 11

• D. 23

Algebra and Mathematical Reasoning

Question 6: Multi-Step Equation

Solve: 3(4x − 5) − 2(x + 7) = 41

• A. x = 4

• B. x = 5

• C. x = 6

• D. x = 7

Question 7: Inequality

Solve: 5 − 3(2x − 4) ≥ 23

• A. x ≤ −1

• B. x ≥ −1

• C. x ≤ 1

• D. x ≥ 1

Question 8: Word Problem

A delivery company charges a fixed service fee plus a charge for each mile traveled. A 7-mile delivery costs $31.50, while a 15-mile delivery costs $55.50. What is the company’s fixed service fee?

• A. $7.50

• B. $9.00

• C. $10.50

• D. $12.00

Question 9: Slope

A line passes through the points (−4, 11) and (8, −7). What is the slope?

• A. −3/2

• B. −2/3

• C. 2/3

• D. 3/2

Question 10: Function Interpretation

A water tank contains 850 gallons when monitoring begins. The amount decreases by 35 gallons per hour. Which equation represents the amount of water, W, remaining after h hours?

• A. W = 35h + 850

• B. W = 850h − 35

• C. W = 850 − 35h

• D. W = 35 − 850h

Geometry and Measurement

Question 11: Volume

A rectangular storage container has dimensions of 3.5 m by 2.4 m by 1.75 m. What is its volume?

• A. 12.6 m³

• B. 14.7 m³

• C. 15.4 m³

• D. 16.8 m³

Question 12: Pythagorean Theorem

A rectangular field measures 48 metres by 55 metres. A worker walks diagonally from one corner to the opposite corner. Approximately how far does the worker travel?

• A. 65.4 m

• B. 72.0 m

• C. 73.0 m

• D. 103.0 m

Question 13: Circle

A circular tank has a diameter of 18 feet. Using π ≈ 3.14, what is the approximate area of the tank’s circular base?

• A. 56.52 ft²

• B. 113.04 ft²

• C. 254.34 ft²

• D. 508.68 ft²

Question 14: Composite Measurement

A rectangular patio measures 18 ft by 12 ft. A semicircular section with a diameter of 12 ft is attached to one of the 12-foot sides. Using π ≈ 3.14, what is the approximate total area?

• A. 216 ft²

• B. 272.52 ft²

• C. 329.04 ft²

• D. 442.08 ft²

Question 15: Scale and Measurement

A construction drawing uses a scale of 1 inch = 6 feet. A rectangular room measures 3.75 inches by 5.5 inches on the drawing. What is the actual area of the room?

• A. 123.75 ft²

• B. 371.25 ft²

• C. 742.50 ft²

• D. 1,237.50 ft²

Graphs, Functions, Statistics, and Data

Question 16: Linear Function

A company’s monthly operating cost is C(x) = 1,850 + 275x, where x represents the number of production batches. What does 275 represent?

• A. The initial operating cost

• B. The total cost of the first batch

• C. The cost added for each additional batch

• D. The number of batches produced

Question 17: Mean and Median

These values represent the minutes five employees spent completing a task: 38, 42, 47, 51, 92. Which statement is correct?

• A. The mean is 47 and the median is 54

• B. The mean is 54 and the median is 47

• C. The mean is 54 and the range is 47

• D. The median is 54 and the range is 92

Question 18: Table and Percentage

A retailer records online orders during a five-day period:

What was the percentage increase in orders from Monday to Friday?

• A. 55%

• B. 65%

• C. 70%

• D. 75%

Question 19: Linear Relationship

A line passes through (2, 13) and (7, 28). Which equation represents the line?

• A. y = 2x + 9

• B. y = 3x + 7

• C. y = 3x + 9

• D. y = 5x + 3

Question 20: Probability

A box contains 8 red, 5 blue, and 7 green objects. Two objects are selected without replacement. What is the probability that both are blue?

• A. 1/19

• B. 1/20

• C. 1/38

• D. 5/76

Stop here and commit to your 20 answers before scrolling. The value of a practice test collapses the moment you start checking each question as you go.

GED Math Practice Test Answer Key

Every answer below was recomputed from scratch and checked against the worked solution in the next section. Mark your paper first, then read the solutions for anything you missed — and for anything you guessed correctly.

Worked Solutions to the GED Math Problems

The letter matters far less than the method. Read the solution for every question you missed, and for every question you got right without being sure why — a lucky guess on a practice test becomes a lost point on the real one.

Questions 1–5: Basic Math

Question 1

Put every value into the same form. Decimals are easiest:

• 7/16 = 0.4375

• 38% = 0.38

The four values are 0.375, 0.4375, 0.38 and 0.4. The greatest is 0.4375, which is 7/16.

This is the trap the question is built around: 0.4 looks larger than 0.4375 if you compare digit counts instead of place value. Convert everything to the same number of decimal places — 0.4000 versus 0.4375 — and the comparison becomes obvious.

Answer: B

Question 2

Find the increase: 22,080 − 18,400 = 3,680.

Compare it with the original value, not the new one: 3,680 ÷ 18,400 = 0.20.

Convert: 0.20 × 100 = 20%.

Answer: C

Question 3

Apply the discount first: 2,400 × 0.15 = 360, so the discounted price is 2,400 − 360 = 2,040.

Now apply the tax to that discounted price: 2,040 × 0.0825 = 168.30.

Final price: 2,040 + 168.30 = $2,208.30.

Option C is what you get by netting the two rates (15% − 8.25% = 6.75% off). Percentages applied one after another do not add or subtract like that, because the tax is charged on the reduced price rather than the list price.

Answer: B

Question 4

Total parts: 5 + 8 = 13.

Each part represents 39 ÷ 13 = 3 litres.

Solution A is five parts: 5 × 3 = 15 litres.

The common error is dividing 39 by 5 or by 8. A ratio question almost always needs the total number of parts first.

Answer: B

Question 5

Work outward from the innermost bracket: 7 − 10 = −3.

Then 2(−3) = −6, so the bracket becomes 4 − (−6) = 10.

Now −3(10) = −30, and −30 + 5 = −25.

Two traps live here. Subtracting a negative adds — 4 − (−6) is 10, not −2. And the +5 sits outside the bracket, so it is added at the very end rather than folded in early.

Answer: B

Questions 6–10: Algebra

Question 6

Distribute both brackets: 12x − 15 − 2x − 14 = 41.

Note that −2(x + 7) gives −2x and −14. Forgetting to distribute the negative across both terms is the single most common slip in this question type.

Combine: 10x − 29 = 41. Add 29: 10x = 70. Divide: x = 7.

Answer: D

Question 7

Distribute: 5 − 6x + 12 ≥ 23.

Combine: 17 − 6x ≥ 23. Subtract 17: −6x ≥ 6.

Divide by −6 — and because you divided by a negative, reverse the inequality sign: x ≤ −1.

That sign reversal is the entire point of the question. Option B is what you get if you forget it.

Answer: A

Question 8

Let m be the cost per mile and b the fixed fee. The two deliveries give you two equations:

• b + 7m = 31.50

• b + 15m = 55.50

Subtract the first from the second to eliminate b: 8m = 24, so m = 3.

Substitute back: b + 7(3) = 31.50, so b + 21 = 31.50 and b = $10.50.

The question asks for the fixed fee, not the per-mile rate. Solving correctly for m = 3 and answering 3 earns nothing — reread the question before you choose.

Answer: C

Question 9

Use m = (y₂ − y₁) ÷ (x₂ − x₁).

m = (−7 − 11) ÷ (8 − (−4)) = −18 ÷ 12 = −3/2.

Watch the denominator: 8 − (−4) is 12, not 4. Subtracting a negative x-value is where most slope errors originate.

Answer: A

Question 10

The tank starts at 850 gallons, so 850 is the constant.

It loses 35 gallons each hour, so the rate is negative and attaches to h: W = 850 − 35h.

Option A has the right numbers in the wrong roles. In a linear model the starting value stands alone and the rate multiplies the variable.

Answer: C

Questions 11–15: Geometry

Question 11

Volume of a rectangular prism is V = lwh — one of the formulas the GED supplies on its formula sheet.

V = 3.5 × 2.4 × 1.75 = 14.7 m³.

Answer: B

Question 12

The diagonal is the hypotenuse of a right triangle with legs 48 and 55.

c² = 48² + 55² = 2,304 + 3,025 = 5,329.

c = √5,329 = 73 metres exactly.

Option D (103) is the sum of the two sides — the distance walked around the edge rather than across the diagonal.

Answer: C

Question 13

The diameter is 18 feet, so the radius is 18 ÷ 2 = 9 feet.

A = πr² ≈ 3.14 × 9² = 3.14 × 81 = 254.34 ft².

Option D is what you get by squaring the diameter instead of the radius. Halving the diameter first is the step that gets skipped.

Answer: C

Question 14

Rectangle: 18 × 12 = 216 ft².

The semicircle has diameter 12 ft, so radius 6 ft. A full circle would be 3.14 × 6² = 113.04 ft².

Half of that: 113.04 ÷ 2 = 56.52 ft².

Total: 216 + 56.52 = 272.52 ft².

Answer: B

Question 15

Convert each drawing dimension to real feet before multiplying:

• 3.75 in × 6 = 22.5 ft

• 5.5 in × 6 = 33 ft

Actual area: 22.5 × 33 = 742.5 ft².

Option A is the drawing’s own area (3.75 × 5.5 = 20.625) scaled once. Scale converts lengths, so convert both lengths first and multiply afterwards.

Answer: C

Questions 16–20: Graphs, Functions, and Data

Question 16

In C(x) = 1,850 + 275x the constant 1,850 is the cost before any batches are produced.

The coefficient 275 multiplies x, so it is the amount added for each additional batch — the rate of change.

Option B is tempting, but the first batch costs 1,850 + 275 = 2,125, not 275.

Answer: C

Question 17

Add the values: 38 + 42 + 47 + 51 + 92 = 270. Mean = 270 ÷ 5 = 54.

The median is the middle value once the list is ordered, which is 47.

So the mean is 54 and the median is 47. The 92 is an outlier — it drags the mean well above the median, which is exactly why both measures exist.

Answer: B

Question 18

Find the increase: 420 − 240 = 180.

Compare with Monday, the starting value: 180 ÷ 240 = 0.75.

Convert: 0.75 × 100 = 75%.

Dividing by 420 instead of 240 gives about 43% — always divide by the value you are measuring the change from.

Answer: D

Question 19

Slope: m = (28 − 13) ÷ (7 − 2) = 15 ÷ 5 = 3.

Substitute a known point into y = mx + b: 13 = 3(2) + b, so 13 = 6 + b and b = 7.

The equation is y = 3x + 7.

Answer: B

Question 20

Total objects: 8 + 5 + 7 = 20.

Probability the first is blue: 5/20.

Because the first object is not replaced, four blue remain out of 19: 4/19.

Multiply: 5/20 × 4/19 = 20/380 = 1/19.

Option D (5/76) is what you get by treating the draws as independent — that is the “with replacement” answer. The phrase without replacement changes both the numerator and the denominator on the second draw.

Answer: A

Your GED Math Weak-Spot Report

Your total is the least interesting number on the page. The useful question is where you lost points.

The category breakdown matters more than the total:

• Questions 1–5 — number sense: fractions, percentages, ratios, integers, order of operations

• Questions 6–10 — algebra: equations, inequalities, slope, functions, translating word problems

• Questions 11–15 — geometry: area, volume, the Pythagorean theorem, scale and measurement

• Questions 16–20 — graphs and data: interpreting functions, statistics, tables, probability

Three or more misses inside a single block is a signal to study that area, not to take another practice test. If number sense is the weak block, the GED math cheat sheet condenses the rules the formula sheet does not give you.

What the GED Math Test Actually Covers

The GED Mathematical Reasoning test is built on four content areas: basic math, geometry, basic algebra, and graphs and functions. The official Assessment Guide for Educators published by GED Testing Service breaks those into four reporting categories with fixed weights:

Read the bottom two rows together and the picture changes: the test is roughly 45% quantitative and 55% algebraic. Most people preparing for GED math over-invest in arithmetic drills and under-invest in algebra, which is the larger half. If your algebra block was weak above, GED math algebra is where to start.

About half the items sit at Depth of Knowledge level 2, meaning they require more than recalling a fact but stop short of extended multi-stage reasoning. That is why single-step drill questions feel easier than the real thing.

How Many Questions Are on GED Math?

About 46 questions across 115 minutes. Roughly five sit in the short non-calculator segment and the remaining 41 or so in the calculator-permitted segment. Formats include multiple choice, fill-in-the-blank, drag-and-drop, and other technology-enhanced items — so practicing only multiple choice leaves you unprepared for the input types.

The exact count matters less than pacing. About 46 questions in 115 minutes averages roughly 2.5 minutes each, but that average is misleading: a straightforward conversion takes 30 seconds while a multi-step word problem can take four minutes. Budget by difficulty, not by the clock — pacing is the skill worth practicing, not the question count.

Treat 46 as approximate rather than fixed. GED Testing Service describes the test by time limit and content weighting rather than publishing a guaranteed item count, and the number of items you see can vary slightly. Anyone quoting an exact figure with confidence is rounding someone else’s estimate. What is fixed is the 115-minute window and the two-part structure.

Can You Use a Calculator on GED Math?

On most of it, but not all. The first section is non-calculator by design — it tests whether you can handle number sense without a machine. The second section permits the on-screen TI-30XS MultiView, and you may bring your own handheld TI-30XS to a test center. A calculator reference sheet is available throughout.

A calculator will not tell you whether a problem needs a proportion, the slope formula, percentage change, or the Pythagorean theorem. It executes arithmetic; the setup is what is being measured. Question 3 above is the clearest example — the calculator does the multiplication perfectly and still returns a wrong answer if you net the percentages instead of applying them in sequence.

Practice with the TI-30XS specifically rather than a phone or a different scientific calculator. Its fraction entry, exponent key and fraction-to-decimal toggle all cost time if you meet them for the first time on test day. The reference sheet explains the functions but will not build the muscle memory.

What Score Do You Need to Pass GED Math?

You need 145 or higher on Mathematical Reasoning. Scores from 165 to 174 earn the College Ready designation, which lets many colleges waive placement testing. Scores from 175 to 200 earn College Ready + Credit, which can convert into free college credit at participating institutions. GED Testing Service publishes the full score scale and performance levels for all four subjects.

Your percentage on this practice set is not a GED score and does not convert into one. The official test reports on a 100–200 scale that accounts for the difficulty of the specific items you saw. Treat practice results as a map of your weak skills, not as a prediction.

Each subject is also scored and passed independently. A strong Science score does not offset a 140 in Mathematical Reasoning — you must reach 145 in math on its own. Math is the subject that needs the most preparation time for most people, so plan the calendar around it.

How Many GED Math Questions Can You Miss?

There is no fixed number, and any page that gives you one is guessing. GED Testing Service reports scaled scores rather than publishing a raw-correct conversion table, and because item difficulty feeds into the scaling, two people answering the same number of questions correctly can receive different scores.

The practical answer: stop trying to reverse-engineer a cutoff and use your practice results to find the skills that are costing you points. That is the one use of a practice test that reliably raises a score.

The reasoning is straightforward. If two versions of the test differ in difficulty, a raw-correct cutoff would make one easier to pass than the other. Scaling adjusts for that, so 145 means the same level of skill whichever items you received. The trade-off is that no fixed raw-score threshold exists to publish.

In practice, answer every question rather than budgeting for misses. There is no penalty for a wrong answer, so a considered guess always beats a blank.

What Should You Do After Taking the Practice Test?

Go back through every question you missed and classify the mistake. There are four kinds, and they call for completely different responses:

• Calculation error — you knew the method but slipped on the arithmetic or mis-keyed the calculator. The fix is deliberate, slower practice, not new instruction.

• Concept error — you did not know which formula or rule applied. This is the only category that genuinely needs teaching.

• Translation error — you understood the mathematics but could not turn the wording into an equation or proportion. The fix is more word problems, not more equations.

• Reading error — you missed a condition, a unit, a graph label, or answered a different question than the one asked. Question 8 is built to catch exactly this.

Counting four misses tells you nothing. Knowing that three of them were reading errors tells you to slow down and re-read the question stem before choosing, which costs nothing and recovers points immediately. For a full study sequence, see how to pass the GED math test.

GED Math Practice Worksheets for More Practice

Online practice questions are useful when you want the answer immediately. Printable worksheets are useful when you want to sit down and work through a longer set without flipping between questions and explanations — which is closer to how the real test feels.

A worksheet worth using gives you room to show working, mixes difficulty levels rather than grouping easy items together, and explains the method instead of only listing letters. Twigera’s free printable GED worksheets extend the practice once you have worked through the questions on this page.

Mix the two formats deliberately. Use online questions when you are learning a method and want immediate confirmation, and printed sets when you are rehearsing exam conditions — no feedback until the end, working shown on paper, a timer running. The second mode is uncomfortable, which is exactly why it surfaces the topics you only think you know.

What Makes These GED Math Problems Worth Practicing?

A useful practice question does not check whether you remember one isolated formula. It makes you decide which information matters.

A percentage problem should force you to distinguish an original value from a discounted one. A geometry problem should combine a scale drawing with an area calculation. An algebra problem should require translating two real-world conditions into simultaneous equations. A data question should ask you to interpret a relationship rather than compute an average and stop.

That is how the four content areas are described across the official GED subject pages, and it is why a question bank of single-step drills produces practice scores that collapse on test day. Every question above needs at least two decisions.

Finishing a free GED math practice test is not the finish line — your mistakes are the point. Misses in questions 1–5 send you back to fractions, percentages, ratios and integers. Algebra misses point to equations, inequalities, slope, functions and translation. Geometry misses call for measurement, area, volume and the Pythagorean theorem. Graph and data misses mean functions, tables, statistics and probability.

Work the weakest block first, then retake a fresh set of questions rather than this one. Repeating a test you have already seen measures your memory, not your mathematics.