Grammar Hero’s ASVAB, PiCAT, AFOQT, & OAR Mathematics Knowledge Practice Test (50 Questions)

Опубликовано: 02 Май 2026
на канале: Grammar Hero
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In this video, I work out some questions from an ASVAB mathematics knowledge practice test. In order to do well on the Armed Services Vocational Aptitude Battery (ASVAB), Pre-screening internet-delivered Computer Adaptive Test (PiCAT), Air Force Officer Qualifying Test (AFOQT), or Officer Aptitude Rating (OAR), you must be comfortable solving problems that are similar to the ones in this video. In order to get the most from this video, you should pause the video after I read each practice question, attempt to work out the question on your own, and then resume playing the video to check your solution.

Download my reference sheet for free here: https://www.asvabapp.com/Reference.pdf

0:00 Intro: No Calculator or Reference Sheet!
2:30 Q1: Prime Numbers and Divisibility Rules (   • How to Quickly Determine if a Number is Pr...  )
5:33 Q2: Factorials (   • Factorials and Factorial Expressions: What...  )
7:30 Q3: Solving Equations (   • Solving Equations | Ace the Mathematics Kn...  )
10:40 Q4: Convert Celsius to Fahrenheit (   • Converting Celsius to Fahrenheit: What You...  )
13:24 Q5: Convert a Word Problem into an Equation
15:38 Q6: Subtracting Polynomials (   • Combining Like Terms and Adding and Subtra...  )
21:29 Q7: Multiplying Polynomials (   • Multiplying Polynomials | Grammar Hero's A...  )
23:22 Q8: Factoring (   • Factoring Quadratic Trinomials That Have a...  )
24:31 Q9: Evaluating an Algebraic Expression (   • Evaluating Algebraic Expressions With Vari...  )
29:00 Q10: The Pythagorean Theorem (   • ASVAB Geometry: Everything You MUST Know A...  )
32:40 Q11: Circumference of a Circle (   • How to Find the Area and Circumference of ...  )
34:54 Q12: Surface Area of a Cube (   • Finding Surface Area and Volume: Formulas ...  )
36:06 Q13: Area of a Shaded Region (   • Finding the Area of a Shaded Region: Circl...  )
41:49 Q14: Reciprocals and Multiplication of Fractions (   • How To Find The Reciprocal of Fractions, W...  )
44:50 Q15: Solving Equations (   • Solving Equations | Ace the Mathematics Kn...  )
46:42 Q16: Area of a Circle (   • How to Find the Area and Circumference of ...  )
51:29 Q17: Area and Perimeter of Quadrilaterals (   • Finding the Perimeter & Area of Quadrilate...  )
55:22 Q18: Pythagorean Theorem
(   • ASVAB Geometry: Everything You MUST Know A...  )
58:30 Q19: Triangle Inequality Theorem (   • ASVAB Geometry: Everything You MUST Know A...  )
1:00:56 Q20: Slope of a Line (   • Algebra Review: Finding the Slope of a Lin...  )
1:02:31 Q21: System of Equations (   • Solving Systems of Equations on The ASVAB:...  )
1:06:03 Q22: Evaluating an Algebraic Expression (   • Evaluating Algebraic Expressions With Vari...  )
1:08:01 Q23: Solving Equations (   • Solving Systems of Equations on The ASVAB:...  )
1:09:46 Q24: Identifying Equations of Lines (   • Writing Equations of Lines: Guided Practic...  )
1:11:25 Q25: Writing Equations of Lines (   • Writing Equations of Lines: Guided Practic...  )
1:14:05 Q26: Compound Interest (   • Compound Interest: Everything You Need to ...  )
1:18:23 Q27: Area of a Triangle (   • ASVAB Geometry: Everything You MUST Know A...  )
1:20:17 Q28: Inequalities (   • Solving and Graphing Multiple-Step Inequal...  )
1:24:14 Q29: Absolute Value Equation (   • How To Solve Absolute Value Equations | Gr...  )
1:27:20 Q30: Solving Equations
1:29:23 Q31: Distance Between Two Points on a Line (   • A Formula You Must Know for the ASVAB: The...  )
1:32:10 Q32: Simplifying an Expression
1:35:20 Q33: Simplifying Radicals
1:35:55 Q34: Factoring by Grouping (   • Factoring by Grouping: A Factoring Techniq...  )
1:38:06 Q35: Multiplying Fractions (   • A Review of Fractions for the ASVAB/PiCAT  )
1:39:27 Q36: Odd and Even Numbers
1:41:05 Q37: Volume of a Cylinder (   • Finding Surface Area and Volume: Formulas ...  )
1:43:16 Q38: Find the Next Term in a Sequence
1:45:33 Q39: Prime Numbers (   • How to Quickly Determine if a Number is Pr...  )
1:47:52 Q40: Laws of Exponents (   • The Laws of Exponents: What You Need to Kn...  )
1:50:16 Q41: Simplifying Radicals (   • Simplifying Radicals and Radical Expressio...  )
1:51:41 Q42: Cube Root of a Number
1:53:24 Q43: Order of Operations (   • Order of Operations (PEMDAS): What You Nee...  )
1:55:19 Q44: Convert Fractions to Decimals (   • Learn Almost Everything About Fractions in...  )
1:57:28 Q45: Simplifying Expressions
1:58:42 Q46: Triangle Sum Theorem (   • ASVAB Geometry: Everything You MUST Know A...  )
2:01:50 Q47: Sum of the Interior Angles of a Polygon
2:03:05 Q48: Sum of an Arithmetic Sequence (   • Grammar Hero's ASVAB Tutoring: Guided Prac...  )
2:06:36 Q49: Simplifying Expressions
2:08:18 Q50: Exponents
2:09:54 Outro: Like, Share, and Subscribe!

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