ASVAB-MATHEMATICS KNOWLEDGE AND OPERATIONS

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ASVAB-MATHEMATICS KNOWLEDGE AND OPERATIONS

EXAM QUESTIONS

Actual Qs and Ans - Expert-Verified Explanation -Guaranteed passing score -49 Questions and Answers

-Format: Multiple-choice / Flashcard

Question 1: Step 4 After you've found a common denominator

Answer:

you add the two fractions by simply adding the numerators together: 6/10 3/10 9/10 . Think of it this way: If your cousin eats 6/10 of the pizza (which 1? is just another way of saying 3/5 ) and you eat 3/10 of the pizza, together you've eaten 9/10 of the pizza.Question 2: Reciprocal:

Answer:

A reciprocal is the number by which another number can be multiplied to produce 1; if you have a fraction, its reciprocal is that fraction turned upside down. For example, the reciprocal of 3 is 13 . If you multiply 3 times 13 , you get

• The reciprocal of 61 is 61 (which is the

same thing as 6); 61 6

• The reciprocal of 23 is 32 . Get the idea?

Question 3: 3 is the square root of

Answer:

9

Question 4: 1 Parentheses take precedence.

Answer:

You should do everything contained in parentheses first. In cases where parentheses are contained within parentheses, do the innermost parentheses first.

Question 5: 7 is the square root of

Answer:

49

Question 6: Converting Perceages to Decimals

Answer:

move decimal two places to the left and drop the percent sign Question 7: Perfect squares:

Answer:

Only a few whole numbers, called perfect squares, have exact square roots. For example, the square root of 25 is 5.

Question 8: Dealing with more than one operation in a sequence

Answer:

Don't forget that more than one operation can occur in a sequence. For example, a sequence may be "add 1, subtract 1, add 2, subtract 2." That would look something like this: 2, 3, 2, 4, ?Because the numbers in the sequence both increase and decrease as the sequence continues, you should suspect that something tricky is going on.

Question 9: 5 is the square root of

Answer:

25

Question 10: opposite

and inverse

Answer:

Don't confuse opposite with inverse.

When you're doing mathematical operations, such as adding and multiplying, the inverse operation is the opposite operation. But when you're talking numbers, opposite and inverse don't mean the same thing. The opposite of a positive number is a negative number, so the opposite of x is - x.But the inverse of a number is its reciprocal - that number turned on its head! The inverse of x is 1 x . The inverse of 15 is 15 (or just 5).Question 11: Base:

Answer:

A base is a number that's used as a factor at least two times - it's a number raised to an exponent. For instance, the term 43 (which can be written 4 4 4, and in which 4 is a factor three times) has a base of 4

Question 12: 10 is the square root of

Answer:

100

Question 13: Simple interest

Answer:

I Prt, where I represents the amount of interest, P is the principal (the initial amount invested), r is the interest rate, and t is the length of time the money is invested.

Question 14: Distance

Answer:

d rt , where d represents the distance traveled, r is the rate (speed) of travel, and t is the amount of time traveled.

Question 15: 4 is the square root of

Answer:

16

Question 16: Step 1 Divide the larger denominator by the smaller denominator.

Answer:

If there's a remainder, then you can't use this method, and you have to use method two (see the next section). In this case, 10 can be divided evenly by

• The quotient (answer) that results is 2.

Question 17: Completing a number sequence (contd)

Answer:

But of course, the questions on the ASVAB aren't quite this simple. More likely, you'll see some- thing like this: 2, 4, 16, 256, ? In this case, each number is being multiplied by itself, so 2 2 4, 4 4 16, and so on. The next number in the sequence is 256 256, which equals 65,536 - the correct answer.

Question 18: 9 is the square root of

Answer:

81 Question 19: Factors:

Answer:

Factors are integers (whole numbers) that can be divided evenly into another integer. To factor a number, you simply determine the numbers that you can divide into it. For example, 8 can be divided by the numbers 2 and 4 (in addition to 1 and 8), so 2 and4 are factors of 8.