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ASVAB and PiCAT Math Study Guide

May 2, 2025

Grammar Hero Series: ASVAB and PiCAT Math Practice Test

Overview

  • This video is part of the Grammar Hero series designed for preparation for the ASVAB and PiCAT tests.
  • Includes 86 math practice test questions.
  • Viewers are encouraged to pause the video, attempt questions, and then check solutions.

Performance Evaluation

  • Answering 70-80% correctly indicates readiness for the test.
  • 60-69% is average; more study recommended.
  • Below 59% suggests significant study is required.

Resources

  • Channel offers videos on each math topic covered in the test.
  • Timestamps with question links provided.
  • Encouragement to become a channel member for free access to study materials.

Sample Math Questions

Scientific Notation

  • Question: 5.12 * 10^-5
    • Move the decimal 5 places to the left.
    • Answer: B with four zeros.*

Simplifying Ratios

  • Question: Simplify 12 to 18
    • Both numbers divisible by 6.
    • Simplified ratio: 2 to 3.

Sequence Patterns

  • Question: Find the next number in series 3, 6, 12...
    • Multiplying by 2: 24.

Shaded Fractions

  • Question: Fraction of shaded figure
    • 2 out of 10 parts shaded.
    • Reduced to d 1/5.

Ratios and Percentages

  • Question: 192 is what percent of 600
    • 192/600, reduce, convert to percent: 32%.

Factorials

  • Question: Calculate 5!
    • 5 * 4 * 3 * 2 * 1 = 120.

Simplifying Algebraic Expressions

  • Question: -2x + 8 < 30
    • Solve for x: x > 1.

Quadratic Equations

  • Question: Factors of x^2 + 4x + 3
    • Factors: (x + 1)(x + 3).

Temperature Conversion

  • Question: Convert 20°C to Fahrenheit
    • Formula: F = (9/5)C + 32, answer: 68°F.

Key Formulas and Concepts

Geometry

  • Circle: Area = Ï€r^2, Circumference = 2Ï€r or Ï€d.
  • Triangle: Area = 1/2 base * height.*

Arithmetic and Algebra

  • Factorials, Sequences, Ratios, Percentages.
  • Solving linear equations and inequalities.

Prime Numbers

  • Techniques to identify prime numbers.

Reciprocals and Fractions

  • Understanding reciprocals and simplifying fractions.

Study Tips

  • Practice with a variety of question types.
  • Familiarize with formulas and concepts regularly tested.
  • Utilize video resources for additional practice and explanation.

This summary captures the key points and types of questions discussed in the video, providing a solid study guide for ASVAB and PiCAT test preparation.

Full transcript