ASVAB ARITHMETIC REASONING NOTES EXAM QUESTIONS

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ASVAB ARITHMETIC REASONING NOTES EXAM QUESTIONS

Actual Qs and Ans - Expert-Verified Explanation -Guaranteed passing score -70 Questions and Answers

-Format: Multiple-choice / Flashcard

Question 1: Multiplying fractions

Answer:

Multiply the numerators together and then multiply the denominators together Ex. 1/4 x 1/3 = 1x1/4x3 = 1/12

Question 2: What to do when dealing with fractions

Answer:

generally its smart to reduce them

Question 3: Using Prime Factorization on the ASVAB (GCF)

Answer:

Useful for finding the greatest common factor of two integers Break down both in tow prime factorization and multiply all prime numbers they have in common

Question 4: Convert a Fraction to a Decimal

Answer:

Divide the denominator into the numerator

Question 5: Odd and Evens when Multiplying two Numbers

Answer:

Multiplying 2 numbers, the rule for determining whether the result is even or odd is that any integer will result in an even number

• x 4 = 24

• x 4 = 12

The only way the product of two integers will be an odd number is if you multiply 2 odd numbers

• x 5 = 15

Question 6: Decimals and Scientific Notation

Answer:

For numbers written in scientific notation, where the first number always has exactly one digit to the left of the decimal point, the long version of the number can be written out by moving the decimal to the right by th same number of places as the value in the exponent of the power of 10 1.23 x 10^4 = 12,300

Question 7: |x - 5| = 5 then x =

Answer:

Definition of absolute values states expression between lines can be either 5 or -5 so you must write two equations

x - 5 = 5: x = 10

or

x - 5 = -5: x =0

Question 8: Square Roots

Answer:

Number that when multiplied by itself produces the given quantity Radical sign represent the positive square root of a number (sq. rt. of 25 = 5)

Question 9: Rules for working with integers

Answer:

Add, subtract or multiple two integers, answer will always be an integer Dividing two integers will give a result that may or may not be an integer

Question 10: Dividing Exponents

Answer:

With the same base, subtract the exponent that is in the denominator from the exponent in the numerator

3^4/3^2 = 2^4-2 = 3^2

Question 11: Adding/Subtracting Exponents

Answer:

Both variables and exponents must be the same 3x^4 + 7x^4 = 10x^4 x^2 + x^3 cannot be combined

Question 12: Find the Least Common Multiple of 20 and 16

Answer:

20 = 10 (2) = 5 (2)

Prime factors = 2, 2, 5

16 = 8(2) = 4 (2) = 2 (2)

Prime Factors = 2, 2, 2, 2 Any multiple that is a multiple of both 16 and 20 must have four prime factors of 2 and one prime factor of 5 LCM = 2 x 2 x 2 x 2 x 5 = 80

Question 13: Divisibility Rules

Answer:

2: All even numbers are divisible by 2

3: Add up individual digits of number, if total is divisible by three then number is divisible by 3 (ex: 243 =

2+4+3=9)

4: Take last two digits and divide them by

• Even result = divisible by 4

5: All numbers ending in 5 or 0

6: All even numbers that meet divisibility test for 3 are divisible by 6

8: Divide number by 2 twice, if result is even then number is divisible by 8

9: Add up digits of the number, if total is divisible by 9 then number is divisible by 9

Question 14: Comparing Fraction Questions

Answer:

Determine which has the greater value Most straightforward way to do this to convert the fractions being compared to a common denominator and compare their numerators Greater the numerator means the greater the fraction

Question 15: Integers

Answer:

All whole numbers including zero, and their negative counterparts

Question 16: Using Prime Factorization on the ASVAB Least Common Multiple (LCM)

Answer:

If you need to find a common multiple of two integers, you can just multiply them In other cases you may need to find the least common multiple (LCM). Can use prime factors to efficiently identify LCMs)

Question 17: Factoring 36

Answer:

• x 36
• x 18
• x 12
• x 9
• x 6

As soon as reach a factor on left which is equal to or greater than a factor on the right you can stop

Question 18: Getting Rid of Decimals

Answer:

Multiply numbers by 10 as many times as necessary When you multiply a number with decimals by 10 simply move the decimal point one place to the right When multiplying numbers without decimals by 10 add a zero at the end Ex. 1.22 x 10 = 12.2 12.2 x 10 = 122 122 x 10 = 1,220

Question 19: Solve 6!/4!

Answer:

6x5x4x3x2x1/4x3x2x1 (cancel out 4, 3, 2, 1) 6x5/1 = 30

Question 20: Scientific Notation and Power of 10

Answer:

The exponent is the number of zeroes the number has when written out (10^4 = 10,000)

Question 21: Raising a Term involving an Exponent to Another Exponent

Answer:

(x^2)^4 = x^2x4 = x^8