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ASVAB Mathematics Knowledge Practice Test 2

ASVAB Mathematics Knowledge Practice Test 2: 100 No-Calculator Questions

Use this second ASVAB Mathematics Knowledge practice test after you have tried the first MK set or when you need a fresh diagnostic. Official ASVAB materials describe Mathematics Knowledge as knowledge of high school mathematics principles. This page turns that public scope into a beginner-friendly review map, official timing context, 100 original multiple-choice questions, answer explanations, and internal links that keep this page focused on MK instead of competing with the broader ASVAB study and score guides.

MK Practice Test 1 Arithmetic Reasoning Test 2 AFQT Calculator ASVAB Study Guide

Why This Mathematics Knowledge Test 2 Page Exists

The first Mathematics Knowledge practice page should be the starting point for many students. This Test 2 page has a different job. It gives you a fresh 100-question set after the first practice test, so you can find whether your improvement is real or whether you memorized the earlier answer pattern. That separation matters for SEO and for learning. The first MK page targets the broad "ASVAB Mathematics Knowledge practice test" intent. This page targets students searching for a second set, extra questions, review after a first attempt, or a stronger mixed diagnostic.

Mathematics Knowledge is not the same as Arithmetic Reasoning. Arithmetic Reasoning is mostly word-problem translation: reading a situation, deciding what operation fits, and computing. Mathematics Knowledge is the math-principle side: fractions, exponents, equations, geometry, ratios, measurement, probability, and simple formulas. A student who only drills word problems can still miss MK questions because the underlying rule is weak. A student who only memorizes formulas can still miss AR questions because the wording is misunderstood. That is why this page links to the AR pages without trying to replace them.

This page is written for a student who knows nothing about ASVAB. It does not assume you already understand AFQT, standard scores, adaptive testing, or why calculators are not allowed. The practice questions are original NUM8ERS study questions written from official public ASVAB descriptions and sample style. They are not copied from official test forms, not leaked questions, and not a claim to predict your official scaled score.

Official Mathematics Knowledge Scope

Official ASVAB pages describe Mathematics Knowledge, or MK, as knowledge of high school mathematics principles and place it in the Math domain. Official sample material shows short multiple-choice math items involving ideas such as radicals, volume, algebraic expressions, and ratios. The public ASVAB program does not publish a full classroom syllabus with chapter numbers, homework sections, or a fixed list of formulas. The dependable official structure is the subtest description, sample-question format, timing table, calculator rule, test-day rules, and official scoring explanation.

Because the official description is broad, this page uses a practical study map instead of pretending that every topic is an official subcategory. The map covers number sense, fractions, decimals, percent, ratios, signed numbers, exponents, roots, equations, inequalities, coordinate ideas, geometry, formulas, measurement, basic data reasoning, and probability. Those categories fit the public high-school-math scope and match the type of math a beginner must stabilize before taking a no-calculator exam.

Important: Do not use this page as a secret answer bank. Official ASVAB guidance treats test questions as controlled materials. This page gives original study questions and explanations so you can practice the public skills without using protected test content.

Timing and Test-Day Rules You Should Know

Official CAT-ASVAB information lists Mathematics Knowledge as 15 scored questions with 31 minutes when no tryout questions are present. The same official CAT timing table lists possible tryout questions and a longer time limit when they are administered. Official paper-and-pencil ASVAB timing lists Mathematics Knowledge as 25 questions in 24 minutes. Official applicant guidance also says you cannot use a calculator on the ASVAB, and the FAQ explains that the test is designed to assess whether you can perform basic math without one.

VersionOfficial public timing contextHow to practice on this page
CAT-ASVAB 15 scored MK questions; 31 minutes without tryout questions. Official CAT materials also list possible tryout questions and longer time when they appear. Do short sets of 15 questions first. Review every missed concept before taking another timed set.
Paper-and-pencil ASVAB 25 MK questions in 24 minutes in the official public timing table and fact sheet. Do sets of 25 questions when you want paper-style pacing. Save the full 100-question set for a longer diagnostic.
PiCAT context Official applicant guidance explains that PiCAT is an unproctored option arranged through a recruiter, with its own rules and verification context. Use the same no-calculator discipline. Do not practice with shortcuts that would not be allowed on an official ASVAB setting.

Beginner Method: How to Take This Test If You Are Starting From Zero

Start untimed. A beginner who races through all 100 questions usually learns very little. First, answer questions 1-20 and write down every concept you missed: fraction operation, percent change, exponent rule, equation solving, or formula choice. Then read the explanations and redo the missed problems without looking at the choices. That second pass matters because multiple-choice answers can hide weak math. If you cannot produce the answer without the options, the concept is not secure yet.

After that, move to timed sets. For CAT-style pacing, take 15 questions at a time. For paper-style pacing, take 25 questions at a time. Use scratch paper and keep your work clean enough that you can locate mistakes. On MK, common misses come from skipped signs, mixed-up fraction rules, area/perimeter confusion, and using a memorized formula in the wrong situation. The test is not trying to reward fancy math. It rewards stable, careful math under time pressure.

One-Pass Rule

If a question takes too long, mark it and move. Your goal is not to prove a point on one problem; your goal is to protect the full set.

Repair Rule

Every miss gets a cause label: arithmetic slip, formula missing, concept unknown, sign error, unit error, or rushing. A score without cause labels is not a study plan.

No-Calculator Rule

Use mental math, scratch paper, factors, cancellation, and estimation. Practicing with a calculator trains a habit that official ASVAB rules do not support.

AFQT Rule

MK matters for AFQT, but it is only one of four AFQT subtests. Pair it with AR, WK, and PC practice before making score predictions.

Topic Map for This Test 2 Set

This second set is deliberately mixed. It avoids the feeling of a textbook chapter where every answer uses the same method. That is closer to real test pressure: you must identify the concept before you compute. Questions 1-20 focus on number operations, fractions, decimals, percent, roots, and exponents. Questions 21-40 focus on ratios, proportions, rates, signed numbers, and algebra basics. Questions 41-60 focus on equations, inequalities, expressions, functions, and coordinate ideas. Questions 61-80 focus on geometry, area, perimeter, volume, angles, and measurement. Questions 81-100 mix probability, data, formulas, and cumulative review.

The topic labels are here to help you study; they are not official score-report categories. Official ASVAB score reporting uses standard scores and AFQT calculations, not a public raw subtopic breakdown. Treat this test as a diagnostic that tells you what to repair before you use the AFQT Score Calculator for planning or read the ASVAB Score Guide for score meaning.

Mathematics Knowledge Repair Lessons Before You Start

A strong Mathematics Knowledge score starts with recognizing the kind of problem in front of you. Beginners often treat every question as a new puzzle, but most MK questions are asking for one of a small group of moves. The first move is arithmetic control: can you add, subtract, multiply, divide, reduce fractions, and handle decimal place value without a calculator? The second move is symbol control: can you read an exponent, a square root, an absolute value sign, or a variable expression without changing its meaning? The third move is formula control: can you tell when a question asks for perimeter instead of area, area instead of volume, radius instead of diameter, or mean instead of median?

When you miss a question, do not write "bad at math" in your notes. That label does not help. Write the exact repair: "forgot common denominator," "multiplied before simplifying," "used area formula for perimeter," "dropped the negative sign," "did not distribute," or "did not know the vocabulary word median." Mathematics Knowledge improves fastest when each miss becomes a repairable rule. The official ASVAB score system is more complex than raw right-or-wrong counting, but your practice routine can still be simple: identify the rule, redo the question, make a smaller similar question, then come back to a mixed set.

MK skillWhat the question is really testingClean scratch-paper habit
FractionsWhether you know when to find a common denominator, when to multiply straight across, and when to use a reciprocal.Write the operation symbol first. Addition and subtraction need common denominators; multiplication and division do not.
PercentWhether you can move between fraction, decimal, and percent forms without losing place value.Write percent as a decimal before multiplying. For 35%, write 0.35, not 35.
Signed numbersWhether you understand negative values, subtracting negatives, and product signs.Circle negative signs that belong to numbers. Do not let a subtraction sign and a negative sign blend together.
Exponents and rootsWhether you know repeated multiplication and square-root pairs.For small squares, memorize 12 through 152. For roots, ask which number times itself gives the radicand.
AlgebraWhether you can keep an equation balanced and combine like terms correctly.Use inverse operations line by line. If you add 5 on one side, add 5 on the other side.
GeometryWhether you choose the right formula for shape, dimension, and unit.Before computing, label the task: perimeter, area, circumference, or volume.
Data basicsWhether you know mean, median, mode, range, and simple probability.For median, order the numbers first. For probability, write favorable outcomes over total outcomes.

Here is a practical sequence for a beginner. First, do questions 1-25 without timing and stop. Grade only those questions. If you missed more than eight, do not continue to question 26 yet. Redo the misses until you can explain the rule in a sentence. Second, do questions 26-50 and repeat the same process. Third, take questions 51-75 with a 25-minute target. Fourth, take questions 76-100 with a 25-minute target. Finally, return two days later and retake only the missed questions. If the same missed question is still wrong after two days, the issue is probably conceptual, not careless.

Formula questions deserve special attention because they can look easy while still trapping beginners. Perimeter is distance around a shape; area is space inside a flat shape; volume is space inside a three-dimensional object. Circumference is the perimeter of a circle. Radius goes from the center of a circle to the edge; diameter goes all the way across the circle through the center. If a question gives diameter but the formula needs radius, divide by 2 before using the formula. If a question gives radius but asks for diameter, multiply by 2. These small translation steps are often where no-calculator math practice breaks down.

Algebra questions deserve the same kind of discipline. Do not try to guess the answer from the choices first. Solve the equation on scratch paper, then look for the matching answer. If the equation has parentheses, distribute before combining like terms unless another clean move is obvious. If the equation has fractions, clear the denominator only if you can do it without creating new mistakes. If the equation has the same expression on both sides, check whether it has all real-number solutions or no solution. Those cases appear simple, but they measure whether you understand equality rather than only memorizing steps.

For mixed practice, the most useful review page is not the one with the highest score. It is the one where your errors are documented clearly. After you finish this test, make a two-column list. In the left column, write the question numbers you missed. In the right column, write the repair label. If you see five fraction errors and one geometry error, your next study block is fractions. If you see five different careless errors, your next block is scratch-paper discipline. This method keeps MK practice from becoming random repetition and helps the rest of the ASVAB plan, because cleaner math principles also support Arithmetic Reasoning.

ASVAB Mathematics Knowledge Practice Test 2: 100 Questions

Answer each question without a calculator. Use scratch paper. After each item, open the explanation only after you have chosen an answer. The answer key appears after the full test so you can score the set quickly.

  1. Question 1. What is 18 ÷ 3 + 4 × 2?
    1. 14
    2. 12
    3. 20
    4. 48
    Answer and explanation

    Answer: A. Use order of operations: 18 ÷ 3 = 6 and 4 × 2 = 8, then 6 + 8 = 14.

  2. Question 2. Simplify 24/36.
    1. 1/3
    2. 2/3
    3. 3/4
    4. 4/5
    Answer and explanation

    Answer: B. Divide numerator and denominator by 12: 24/36 = 2/3.

  3. Question 3. What is 0.6 written as a fraction in simplest form?
    1. 6/5
    2. 1/6
    3. 3/5
    4. 5/3
    Answer and explanation

    Answer: C. 0.6 = 6/10, and 6/10 simplifies to 3/5.

  4. Question 4. What is 25% of 80?
    1. 10
    2. 15
    3. 25
    4. 20
    Answer and explanation

    Answer: D. 25% is one fourth. One fourth of 80 is 20.

  5. Question 5. What is √49?
    1. 7
    2. 6
    3. 8
    4. 9
    Answer and explanation

    Answer: A. The square root of 49 is 7 because 7 × 7 = 49.

  6. Question 6. What is 33?
    1. 9
    2. 27
    3. 18
    4. 33
    Answer and explanation

    Answer: B. 33 means 3 × 3 × 3, which equals 27.

  7. Question 7. What is 5/8 + 1/8?
    1. 6/16
    2. 5/16
    3. 3/4
    4. 1/2
    Answer and explanation

    Answer: C. Add the numerators because the denominators match: 5/8 + 1/8 = 6/8 = 3/4.

  8. Question 8. What is 7 − (−3)?
    1. 4
    2. −10
    3. −4
    4. 10
    Answer and explanation

    Answer: D. Subtracting a negative is the same as adding: 7 − (−3) = 10.

  9. Question 9. Which number is greatest?
    1. 0.5
    2. 0.45
    3. 0.09
    4. 0.49
    Answer and explanation

    Answer: A. 0.5 is 0.50, which is greater than 0.49, 0.45, and 0.09.

  10. Question 10. What is 2/3 of 18?
    1. 6
    2. 12
    3. 9
    4. 15
    Answer and explanation

    Answer: B. One third of 18 is 6, so two thirds is 12.

  11. Question 11. What is 4.2 + 0.35?
    1. 4.37
    2. 4.235
    3. 4.55
    4. 45.5
    Answer and explanation

    Answer: C. Align decimal places: 4.20 + 0.35 = 4.55.

  12. Question 12. What is 9/10 − 2/5?
    1. 7/5
    2. 5/10
    3. 1/5
    4. 1/2
    Answer and explanation

    Answer: D. Convert 2/5 to 4/10. Then 9/10 − 4/10 = 5/10 = 1/2.

  13. Question 13. A ratio of 12:18 is equivalent to which ratio?
    1. 2:3
    2. 1:3
    3. 3:2
    4. 6:9 only
    Answer and explanation

    Answer: A. Divide both parts by 6: 12:18 = 2:3.

  14. Question 14. If 5 pencils cost $2, how much do 15 pencils cost at the same rate?
    1. $4
    2. $6
    3. $5
    4. $8
    Answer and explanation

    Answer: B. 15 pencils is three times 5 pencils, so the cost is 3 × $2 = $6.

  15. Question 15. Solve for x: x/4 = 9.
    1. 13
    2. 9/4
    3. 36
    4. 5
    Answer and explanation

    Answer: C. Multiply both sides by 4: x = 36.

  16. Question 16. What is 15% written as a decimal?
    1. 1.5
    2. 0.015
    3. 15.0
    4. 0.15
    Answer and explanation

    Answer: D. Move the percent decimal two places left: 15% = 0.15.

  17. Question 17. What is (−4)(6)?
    1. −24
    2. 24
    3. −10
    4. 10
    Answer and explanation

    Answer: A. A negative times a positive is negative, and 4 × 6 = 24.

  18. Question 18. What is 25?
    1. 10
    2. 32
    3. 16
    4. 25
    Answer and explanation

    Answer: B. 25 = 2 × 2 × 2 × 2 × 2 = 32.

  19. Question 19. What is 3/4 as a percent?
    1. 34%
    2. 50%
    3. 75%
    4. 80%
    Answer and explanation

    Answer: C. 3/4 = 0.75, which is 75%.

  20. Question 20. Which expression equals 6 × 6 × 6 × 6?
    1. 62
    2. 63
    3. 46
    4. 64
    Answer and explanation

    Answer: D. Four factors of 6 are written as 64.

  21. Question 21. Solve for x: 2x + 5 = 17.
    1. 6
    2. 11
    3. 24
    4. 34
    Answer and explanation

    Answer: A. Subtract 5 to get 2x = 12. Divide by 2 to get x = 6.

  22. Question 22. Solve for y: 3y − 4 = 20.
    1. 6
    2. 8
    3. 12
    4. 16
    Answer and explanation

    Answer: B. Add 4 to get 3y = 24. Divide by 3 to get y = 8.

  23. Question 23. Which value makes 4x = 28 true?
    1. 6
    2. 8
    3. 7
    4. 24
    Answer and explanation

    Answer: C. Divide both sides by 4: x = 7.

  24. Question 24. Simplify 5a + 2a.
    1. 10a
    2. 7a2
    3. 3a
    4. 7a
    Answer and explanation

    Answer: D. Combine like terms: 5a + 2a = 7a.

  25. Question 25. Simplify 9b − 4b + b.
    1. 6b
    2. 4b
    3. 5b
    4. 14b
    Answer and explanation

    Answer: A. 9b − 4b = 5b, and 5b + b = 6b.

  26. Question 26. What is the value of 2x2 when x = 3?
    1. 12
    2. 18
    3. 36
    4. 64
    Answer and explanation

    Answer: B. x2 = 9, so 2x2 = 18.

  27. Question 27. Solve for x: x − 7 = −2.
    1. −9
    2. −5
    3. 5
    4. 9
    Answer and explanation

    Answer: C. Add 7 to both sides: x = 5.

  28. Question 28. Which inequality is true when x = 4?
    1. x > 10
    2. 2x < 5
    3. x + 1 < 4
    4. 3x > 11
    Answer and explanation

    Answer: D. If x = 4, then 3x = 12, and 12 is greater than 11.

  29. Question 29. If f(x) = 2x + 1, what is f(5)?
    1. 11
    2. 7
    3. 10
    4. 15
    Answer and explanation

    Answer: A. Substitute 5: f(5) = 2(5) + 1 = 11.

  30. Question 30. What is the slope of a line that rises 6 units and runs 3 units?
    1. 1/2
    2. 2
    3. 3
    4. 9
    Answer and explanation

    Answer: B. Slope is rise over run: 6/3 = 2.

  31. Question 31. Which point is on the y-axis?
    1. (5, 0)
    2. (3, 3)
    3. (0, 5)
    4. (−2, 4)
    Answer and explanation

    Answer: C. Points on the y-axis have x-coordinate 0.

  32. Question 32. What is the y-intercept of y = 3x − 4?
    1. 3
    2. 4
    3. −3
    4. −4
    Answer and explanation

    Answer: D. In y = mx + b, the y-intercept is b. Here b = −4.

  33. Question 33. Solve for x: 5(x − 2) = 20.
    1. 6
    2. 2
    3. 4
    4. 10
    Answer and explanation

    Answer: A. Divide by 5 to get x − 2 = 4, so x = 6.

  34. Question 34. Simplify (x3)(x2).
    1. x6
    2. x5
    3. x1
    4. 2x3
    Answer and explanation

    Answer: B. When multiplying powers with the same base, add exponents: 3 + 2 = 5.

  35. Question 35. Simplify x6 ÷ x2 for x not equal to 0.
    1. x3
    2. x8
    3. x4
    4. x12
    Answer and explanation

    Answer: C. When dividing powers with the same base, subtract exponents: 6 − 2 = 4.

  36. Question 36. What is (2x)(3x)?
    1. 5x
    2. 6x
    3. 5x2
    4. 6x2
    Answer and explanation

    Answer: D. Multiply coefficients and variables: 2 × 3 = 6 and x × x = x2.

  37. Question 37. Factor x2 + 5x.
    1. x(x + 5)
    2. 5(x + 1)
    3. x(x − 5)
    4. (x + 5)2
    Answer and explanation

    Answer: A. Both terms share a factor of x, so x2 + 5x = x(x + 5).

  38. Question 38. Solve for x: 2x < 10.
    1. x > 5
    2. x < 5
    3. x < 8
    4. x > 8
    Answer and explanation

    Answer: B. Divide both sides by positive 2, so the inequality direction stays the same: x < 5.

  39. Question 39. If a line has slope 0, what kind of line is it?
    1. Vertical
    2. Curved
    3. Horizontal
    4. Undefined
    Answer and explanation

    Answer: C. A line with slope 0 is horizontal because its rise is 0.

  40. Question 40. What is the solution to x + 3 = 3 + x?
    1. x = 0 only
    2. x = 3 only
    3. No solution
    4. All real numbers
    Answer and explanation

    Answer: D. Both sides are identical for every value of x, so all real numbers work.

  41. Question 41. What is the perimeter of a rectangle with length 9 and width 4?
    1. 26
    2. 13
    3. 36
    4. 81
    Answer and explanation

    Answer: A. Perimeter = 2(length + width) = 2(9 + 4) = 26.

  42. Question 42. What is the area of a rectangle with length 8 and width 5?
    1. 13
    2. 40
    3. 26
    4. 80
    Answer and explanation

    Answer: B. Area of a rectangle = length × width = 8 × 5 = 40.

  43. Question 43. What is the area of a triangle with base 10 and height 6?
    1. 16
    2. 60
    3. 30
    4. 120
    Answer and explanation

    Answer: C. Area of a triangle = 1/2 × base × height = 1/2 × 10 × 6 = 30.

  44. Question 44. A square has side length 7. What is its area?
    1. 14
    2. 28
    3. 56
    4. 49
    Answer and explanation

    Answer: D. Area of a square = side2 = 72 = 49.

  45. Question 45. What is the circumference of a circle with radius 5, using π = 3.14?
    1. 31.4
    2. 15.7
    3. 50
    4. 78.5
    Answer and explanation

    Answer: A. Circumference = 2πr = 2(3.14)(5) = 31.4.

  46. Question 46. What is the area of a circle with radius 3, using π = 3.14?
    1. 9.42
    2. 28.26
    3. 18.84
    4. 37.68
    Answer and explanation

    Answer: B. Area = πr2 = 3.14 × 9 = 28.26.

  47. Question 47. What is the volume of a rectangular prism with length 4, width 3, and height 5?
    1. 12
    2. 20
    3. 60
    4. 35
    Answer and explanation

    Answer: C. Volume = length × width × height = 4 × 3 × 5 = 60.

  48. Question 48. A right triangle has legs 6 and 8. What is the hypotenuse?
    1. 12
    2. 14
    3. 48
    4. 10
    Answer and explanation

    Answer: D. Use a 6-8-10 right triangle, or 62 + 82 = 100, so the hypotenuse is 10.

  49. Question 49. How many degrees are in a straight angle?
    1. 180
    2. 45
    3. 90
    4. 360
    Answer and explanation

    Answer: A. A straight angle forms a line and measures 180 degrees.

  50. Question 50. Two angles in a triangle measure 50 degrees and 60 degrees. What is the third angle?
    1. 50 degrees
    2. 70 degrees
    3. 60 degrees
    4. 110 degrees
    Answer and explanation

    Answer: B. Triangle angles sum to 180 degrees. 180 − 50 − 60 = 70 degrees.

  51. Question 51. What is the perimeter of a square with side length 11?
    1. 22
    2. 33
    3. 44
    4. 121
    Answer and explanation

    Answer: C. Perimeter of a square = 4s = 4(11) = 44.

  52. Question 52. What is the area of a parallelogram with base 12 and height 5?
    1. 17
    2. 30
    3. 120
    4. 60
    Answer and explanation

    Answer: D. Area of a parallelogram = base × height = 12 × 5 = 60.

  53. Question 53. A cube has side length 3. What is its volume?
    1. 27
    2. 9
    3. 18
    4. 81
    Answer and explanation

    Answer: A. Volume of a cube = side3 = 33 = 27.

  54. Question 54. What is the area of a trapezoid with bases 6 and 10 and height 4?
    1. 16
    2. 32
    3. 24
    4. 64
    Answer and explanation

    Answer: B. Area = 1/2(b1 + b2)h = 1/2(6 + 10)(4) = 32.

  55. Question 55. A rectangle has area 48 and width 6. What is its length?
    1. 6
    2. 12
    3. 8
    4. 42
    Answer and explanation

    Answer: C. Area = length × width, so length = 48 ÷ 6 = 8.

  56. Question 56. Convert 3 feet to inches.
    1. 12 inches
    2. 24 inches
    3. 48 inches
    4. 36 inches
    Answer and explanation

    Answer: D. There are 12 inches in 1 foot, so 3 feet = 36 inches.

  57. Question 57. Convert 2.5 hours to minutes.
    1. 150
    2. 120
    3. 125
    4. 250
    Answer and explanation

    Answer: A. 2.5 hours × 60 minutes per hour = 150 minutes.

  58. Question 58. Which is larger: 3/8 or 5/12?
    1. 3/8
    2. 5/12
    3. They are equal
    4. Cannot be determined
    Answer and explanation

    Answer: B. Use common denominator 24: 3/8 = 9/24 and 5/12 = 10/24, so 5/12 is larger.

  59. Question 59. What is the mean of 4, 8, 10, and 14?
    1. 8
    2. 10
    3. 9
    4. 36
    Answer and explanation

    Answer: C. Add the numbers to get 36, then divide by 4: 36 ÷ 4 = 9.

  60. Question 60. What is the median of 3, 9, 12, 20, and 21?
    1. 9
    2. 13
    3. 20
    4. 12
    Answer and explanation

    Answer: D. The numbers are already ordered, and the middle value is 12.

  61. Question 61. A bag has 3 red marbles and 5 blue marbles. What is the probability of picking a red marble?
    1. 3/8
    2. 5/8
    3. 3/5
    4. 1/3
    Answer and explanation

    Answer: A. There are 3 red marbles out of 8 total marbles, so the probability is 3/8.

  62. Question 62. What is 40% of 150?
    1. 45
    2. 60
    3. 50
    4. 75
    Answer and explanation

    Answer: B. 40% = 0.40, and 0.40 × 150 = 60.

  63. Question 63. A price increases from $20 to $25. What is the percent increase?
    1. 5%
    2. 20%
    3. 25%
    4. 50%
    Answer and explanation

    Answer: C. The increase is $5. Since 5/20 = 1/4, the increase is 25%.

  64. Question 64. What number is 30% of 90?
    1. 18
    2. 24
    3. 30
    4. 27
    Answer and explanation

    Answer: D. 30% of 90 is 0.30 × 90 = 27.

  65. Question 65. If 7 out of 10 answers are correct, what percent are correct?
    1. 70%
    2. 7%
    3. 17%
    4. 700%
    Answer and explanation

    Answer: A. 7/10 = 0.7, which is 70%.

  66. Question 66. What is 1.2 × 0.5?
    1. 0.06
    2. 0.6
    3. 1.7
    4. 6.0
    Answer and explanation

    Answer: B. Half of 1.2 is 0.6.

  67. Question 67. What is 6.4 ÷ 0.8?
    1. 0.8
    2. 4
    3. 8
    4. 12
    Answer and explanation

    Answer: C. Move both decimals one place: 64 ÷ 8 = 8.

  68. Question 68. What is 5/6 × 3/10?
    1. 1/2
    2. 8/16
    3. 15/16
    4. 1/4
    Answer and explanation

    Answer: D. Multiply and simplify: (5 × 3)/(6 × 10) = 15/60 = 1/4.

  69. Question 69. What is 3/4 ÷ 3/8?
    1. 2
    2. 1/2
    3. 1
    4. 3
    Answer and explanation

    Answer: A. Divide by multiplying by the reciprocal: 3/4 × 8/3 = 2.

  70. Question 70. A scale drawing uses 1 inch for 4 feet. How many feet does 6 inches represent?
    1. 10
    2. 24
    3. 18
    4. 30
    Answer and explanation

    Answer: B. 6 inches represents 6 × 4 = 24 feet.

  71. Question 71. What is the next number in the pattern 2, 5, 8, 11, ...?
    1. 12
    2. 13
    3. 14
    4. 16
    Answer and explanation

    Answer: C. The pattern adds 3 each time, so 11 + 3 = 14.

  72. Question 72. What is 103?
    1. 30
    2. 100
    3. 10,000
    4. 1,000
    Answer and explanation

    Answer: D. 103 = 10 × 10 × 10 = 1,000.

  73. Question 73. Which is equal to 0.04?
    1. 4%
    2. 40%
    3. 0.4%
    4. 400%
    Answer and explanation

    Answer: A. Convert a decimal to a percent by moving two places right: 0.04 = 4%.

  74. Question 74. What is the least common multiple of 6 and 8?
    1. 12
    2. 24
    3. 14
    4. 48
    Answer and explanation

    Answer: B. Multiples of 6 include 6, 12, 18, 24. Multiples of 8 include 8, 16, 24. The least common one is 24.

  75. Question 75. What is the greatest common factor of 18 and 30?
    1. 3
    2. 9
    3. 6
    4. 15
    Answer and explanation

    Answer: C. The common factors include 1, 2, 3, and 6; the greatest is 6.

  76. Question 76. What is the reciprocal of 7/9?
    1. 7/9
    2. 1/7
    3. 1/9
    4. 9/7
    Answer and explanation

    Answer: D. The reciprocal flips numerator and denominator: 7/9 becomes 9/7.

  77. Question 77. Which fraction is equivalent to 0.25?
    1. 1/4
    2. 1/2
    3. 1/5
    4. 1/8
    Answer and explanation

    Answer: A. 0.25 = 25/100 = 1/4.

  78. Question 78. What is the value of |−13|?
    1. −13
    2. 13
    3. 0
    4. 26
    Answer and explanation

    Answer: B. Absolute value is distance from 0, so |−13| = 13.

  79. Question 79. Which number is prime?
    1. 21
    2. 27
    3. 29
    4. 33
    Answer and explanation

    Answer: C. 29 has no positive factors other than 1 and 29.

  80. Question 80. What is 144 ÷ 12?
    1. 10
    2. 11
    3. 13
    4. 12
    Answer and explanation

    Answer: D. 12 × 12 = 144, so 144 ÷ 12 = 12.

  81. Question 81. Solve for x: x/3 + 2 = 7.
    1. 15
    2. 9
    3. 12
    4. 21
    Answer and explanation

    Answer: A. Subtract 2 to get x/3 = 5. Multiply by 3 to get x = 15.

  82. Question 82. Solve for x: 4x + 1 = 2x + 9.
    1. 2
    2. 4
    3. 5
    4. 8
    Answer and explanation

    Answer: B. Subtract 2x from both sides: 2x + 1 = 9. Subtract 1: 2x = 8, so x = 4.

  83. Question 83. Which expression is equivalent to 3(x + 4)?
    1. 3x + 4
    2. x + 12
    3. 3x + 12
    4. 7x
    Answer and explanation

    Answer: C. Distribute 3 to both terms: 3(x + 4) = 3x + 12.

  84. Question 84. Simplify 2(x + 5) − x.
    1. 2x + 10
    2. x + 5
    3. 3x + 10
    4. x + 10
    Answer and explanation

    Answer: D. Distribute first: 2x + 10 − x = x + 10.

  85. Question 85. If 2a = 10 and b = 3, what is a + b?
    1. 8
    2. 5
    3. 13
    4. 20
    Answer and explanation

    Answer: A. From 2a = 10, a = 5. Then a + b = 5 + 3 = 8.

  86. Question 86. What is the value of 72 − 42?
    1. 21
    2. 33
    3. 25
    4. 65
    Answer and explanation

    Answer: B. 72 = 49 and 42 = 16, so 49 − 16 = 33.

  87. Question 87. What is √81 + √16?
    1. 9
    2. 17
    3. 13
    4. 97
    Answer and explanation

    Answer: C. √81 = 9 and √16 = 4, so the sum is 13.

  88. Question 88. If a number is divisible by 9, which statement must be true?
    1. It is odd.
    2. It ends in 9.
    3. It is less than 90.
    4. Its digits add to a multiple of 9.
    Answer and explanation

    Answer: D. A divisibility test for 9 is that the sum of the digits is divisible by 9.

  89. Question 89. What is 2.75 written as a mixed number?
    1. 2 3/4
    2. 2 1/4
    3. 2 1/2
    4. 3 1/4
    Answer and explanation

    Answer: A. 0.75 = 3/4, so 2.75 = 2 3/4.

  90. Question 90. What is 5 1/2 written as an improper fraction?
    1. 5/2
    2. 11/2
    3. 10/2
    4. 12/2
    Answer and explanation

    Answer: B. 5 1/2 = (5 × 2 + 1)/2 = 11/2.

  91. Question 91. A set contains 2, 2, 3, 5, 8. What is the mode?
    1. 3
    2. 5
    3. 2
    4. 8
    Answer and explanation

    Answer: C. The mode is the value that appears most often. The number 2 appears twice.

  92. Question 92. What is the range of 6, 14, 3, 10, and 9?
    1. 7
    2. 9
    3. 17
    4. 11
    Answer and explanation

    Answer: D. Range = greatest value − least value = 14 − 3 = 11.

  93. Question 93. A spinner has 4 equal sections labeled A, B, C, and D. What is the probability of landing on A or B?
    1. 1/2
    2. 1/4
    3. 1/3
    4. 3/4
    Answer and explanation

    Answer: A. Two favorable sections out of four total sections gives 2/4 = 1/2.

  94. Question 94. If the perimeter of a square is 36, what is the side length?
    1. 6
    2. 9
    3. 12
    4. 18
    Answer and explanation

    Answer: B. A square has four equal sides. 36 ÷ 4 = 9.

  95. Question 95. A rectangle has length 12 and perimeter 34. What is its width?
    1. 7
    2. 10
    3. 5
    4. 22
    Answer and explanation

    Answer: C. Perimeter = 2L + 2W. So 34 = 24 + 2W, giving 2W = 10 and W = 5.

  96. Question 96. Which pair of numbers has a product of −24?
    1. −6 and −4
    2. 6 and 4
    3. −12 and −2
    4. −6 and 4
    Answer and explanation

    Answer: D. A negative times a positive is negative, and 6 × 4 = 24.

  97. Question 97. What is the value of 3(4 + 2) − 5?
    1. 13
    2. 9
    3. 17
    4. 23
    Answer and explanation

    Answer: A. Parentheses first: 4 + 2 = 6. Then 3 × 6 = 18, and 18 − 5 = 13.

  98. Question 98. Which value is closest to √50?
    1. 5
    2. 7
    3. 6
    4. 8
    Answer and explanation

    Answer: B. Since 72 = 49, √50 is just over 7.

  99. Question 99. What is 3/5 of 45?
    1. 9
    2. 15
    3. 27
    4. 30
    Answer and explanation

    Answer: C. One fifth of 45 is 9, and three fifths is 27.

  100. Question 100. Which statement is true about the number 0?
    1. 0 is positive.
    2. 0 is negative.
    3. 0 is not a whole number.
    4. 0 is neither positive nor negative.
    Answer and explanation

    Answer: D. Zero is neither positive nor negative, and it is a whole number.

Show Compact Answer Key

Compact Answer Key

Answers 1-100: 1 A, 2 B, 3 C, 4 D, 5 A, 6 B, 7 C, 8 D, 9 A, 10 B, 11 C, 12 D, 13 A, 14 B, 15 C, 16 D, 17 A, 18 B, 19 C, 20 D, 21 A, 22 B, 23 C, 24 D, 25 A, 26 B, 27 C, 28 D, 29 A, 30 B, 31 C, 32 D, 33 A, 34 B, 35 C, 36 D, 37 A, 38 B, 39 C, 40 D, 41 A, 42 B, 43 C, 44 D, 45 A, 46 B, 47 C, 48 D, 49 A, 50 B, 51 C, 52 D, 53 A, 54 B, 55 C, 56 D, 57 A, 58 B, 59 C, 60 D, 61 A, 62 B, 63 C, 64 D, 65 A, 66 B, 67 C, 68 D, 69 A, 70 B, 71 C, 72 D, 73 A, 74 B, 75 C, 76 D, 77 A, 78 B, 79 C, 80 D, 81 A, 82 B, 83 C, 84 D, 85 A, 86 B, 87 C, 88 D, 89 A, 90 B, 91 C, 92 D, 93 A, 94 B, 95 C, 96 D, 97 A, 98 B, 99 C, 100 D.

How to Use Your Practice Score

This page gives a raw practice count, not an official ASVAB score. Official ASVAB score guidance explains that ASVAB subtest scores are standard scores with a fixed mean and standard deviation, and official AFQT scores are computed from standard scores for Arithmetic Reasoning, Mathematics Knowledge, Paragraph Comprehension, and Word Knowledge. Your result here is a study diagnostic. It tells you whether the weakness is fraction mechanics, equation solving, geometry formulas, percent, signed numbers, or mixed review stamina.

Raw result on this pageWhat it usually meansNext action
0-39 correctCore operations are unstable. You are likely losing points before the problem reaches an ASVAB-level decision.Redo questions 1-40 untimed. Build fraction, decimal, percent, and equation fluency before timing yourself.
40-59 correctYou recognize some concepts but still miss too many basics under mixed conditions.Sort misses by cause. Study the top two weak topics, then take 25 fresh questions from this page.
60-79 correctYou have usable foundations, but timing, formulas, or mixed-topic switching may still be uneven.Practice CAT-style 15-question sets and pair MK with Arithmetic Reasoning Test 2.
80-100 correctYour practice accuracy is strong on this original set.Keep the skill active with timed review, then broaden to WK and PC because AFQT is not math-only.

Official Sources Used

The ASVAB structure, Mathematics Knowledge description, sample-question style, timing, calculator guidance, CAT-ASVAB behavior, and AFQT relationship in this page were checked against official ASVAB sources. The 100 practice questions are original NUM8ERS study questions written from the public MK skill description.

Official ASVAB: Mathematics Knowledge sample page Official ASVAB: Subtests and domains Official ASVAB: CAT-ASVAB timing Official ASVAB: What to expect Official ASVAB: Understanding scores Official ASVAB: FAQs and calculator rule Official ASVAB Fact Sheet PDF

ASVAB Mathematics Knowledge Practice Test 2 FAQs

Are these real ASVAB Mathematics Knowledge questions?

No. They are original practice questions written for study from the official public Mathematics Knowledge description. They are not copied from official ASVAB test forms or protected materials.

What does Mathematics Knowledge test?

Official ASVAB materials describe Mathematics Knowledge as knowledge of high school mathematics principles. Public sample material shows multiple-choice math items involving concepts such as radicals, volume, algebra, and ratios.

Does Mathematics Knowledge count toward AFQT?

Yes. Official score guidance lists Mathematics Knowledge as one of the four subtests used to compute AFQT, along with Arithmetic Reasoning, Paragraph Comprehension, and Word Knowledge.

Can I use a calculator on ASVAB Mathematics Knowledge?

No. Official applicant guidance says you cannot use a calculator when taking the ASVAB, and the official FAQ explains why basic math without a calculator is assessed.

How should I use this Test 2 page with the first MK practice test?

Use the first MK page as your primary practice set, then use this Test 2 page as a fresh mixed diagnostic. If your misses repeat across both sets, that topic should become your next study block.

What To Study After Mathematics Knowledge Test 2

This second MK set should tell you whether your math repair is holding on fresh questions. Use the next page based on the type of miss you still see.

Use the ASVAB Study Guide if you need the full test pathway instead of another math set.