ASVAB Practice Test 1 Mathematics Knowledge

Questions and Answers

If x = 8, what's the value of y in the equation $y = (x^2 ÷ 4) − 2$?

14 (correct)

The cube of 5 is:

125 (correct)

What is $2.5 × 33$?

675.0

22.5

75.0

67.5 (correct)

The fourth root of 16 is:

2 Signup and view all the answers

What's the equation of a line that passes through points (0, -1) and (2, 3)?

y = 2x - 1 Signup and view all the answers

(12 yards + 14 feet) ÷ 5 =

10 feet Signup and view all the answers

What is $x^3 × x^4$?

x^12 Signup and view all the answers

What is $(x + 4)(x + 2)$?

x^2 + 6x + 8 Signup and view all the answers

What is $1.5 × 10^3$?

1,500 Signup and view all the answers

Which of the following is a prime number?

11 Signup and view all the answers

What's the mode of the following series of numbers? 4, 4, 8, 8, 8, 10, 10, 12, 12

8 Signup and view all the answers

If a = 4, then $a^3 ÷ a$ is:

16 Signup and view all the answers

Solve: $5!$

120 Signup and view all the answers

What is $(900 × 2) ÷ 6$?

300 Signup and view all the answers

If x = 2, then $x^x(x)$ is:

8 Signup and view all the answers

If $(5 + 1)(6 ÷ 3)(8 − 5) = (3 + 3)x$, then what is x?

6 Signup and view all the answers

What is $√49 × √64$?

56 Signup and view all the answers

Which of the following fractions is the largest?

13/16 Signup and view all the answers

If $2 + x ≥ 4$, then what is x ≥?

2 Signup and view all the answers

If a circle has a radius of 12 feet, what's its circumference most nearly?

72 feet Signup and view all the answers

An aquarium measures 16-inches long × 8-inches deep × 18-inches high. What's its volume?

2,304 cubic inches Signup and view all the answers

Triangle ABC is a(n):

equilateral triangle Signup and view all the answers

The sum of the measures of the angles of a trapezoid is:

360 degrees Signup and view all the answers

Angles 1 and 2 are:

complementary Signup and view all the answers

Convert 24% to a fraction:

6/25 Signup and view all the answers

A cube has a volume of 64 cubic inches. What's its surface area?

96 square inches Signup and view all the answers

What's the sum of the integers from 1 to 300?

45,150 Signup and view all the answers

Study Notes

Mathematics Knowledge Practice Notes

To find the value of ( y ) in the equation ( y = \left(\frac{x^2}{4}\right) - 2 ) with ( x = 8 ), calculate to find ( y = 14 ).
The cube of a number is calculated by multiplying the number by itself three times; thus, ( 5^3 = 125 ).
To calculate ( 2.5 \times 33 ), perform multiplication to get 67.5.
The fourth root of 16 is the number that, when raised to the power of four, equals 16; therefore, it is 2.
A line that passes through points (0, -1) and (2, 3) has the equation ( y = 2x - 1 ).
To add 12 yards and 14 feet, convert yards to feet, compute ( \frac{(12 \times 3) + 14}{5} ), resulting in 10 feet.
The multiplication of powers of the same base can be simplified; ( x^3 \times x^4 = x^{(3+4)} = x^7 ).
The expression ( (x + 4)(x + 2) ) can be expanded to ( x^2 + 6x + 8 ).
( 1.5 \times 10^3 ) results in ( 1,500 ).
A prime number is defined as a number greater than one that has no positive divisors other than 1 and itself; 11 is prime.
The mode of a data set is the number that appears most frequently; in the series 4, 4, 8, 8, 8, 10, 10, 12, 12, the mode is 8.
If ( a = 4 ), calculating ( \frac{a^3}{a} ) gives ( \frac{64}{4} = 16 ).
Factorial notation ( 5! ) denotes multiplying all whole numbers from 5 down to 1, yielding 120.
For the equation ( (900 \times 2) \div 6 ), compute directly to find the answer of 300.
Evaluating ( x^x(x) ) with ( x = 2 ), results in ( 2^2(2) = 8 ).
The equation ( (5 + 1)(6 \div 3)(8 - 5) = (3 + 3)x ) simplifies to find ( x = 6 ).
The product of square roots ( \sqrt{49} \times \sqrt{64} = 7 \times 8 = 56 ).
To compare fractions and determine the largest, the largest among ( \frac{2}{5}, \frac{3}{8}, \frac{7}{10}, \frac{13}{16} ) is ( \frac{13}{16} ).
Solving the inequality ( 2 + x \geq 4 ) gives the result ( x \geq 2 ).
The circumference of a circle can be calculated using the formula ( C = 2\pi r ); with a radius of 12 feet, it approximates to 75 feet.
The volume of an aquarium measuring 16 inches long, 8 inches deep, and 18 inches high is calculated as ( V = length \times width \times height = 2,304 ) cubic inches.
Triangle ABC is classified as an equilateral triangle, indicating all sides and angles are equal.
The total measure of angles in a trapezoid is consistently 360 degrees.
Angles classified as complementary add up to 90 degrees.
Converting percentages to fractions: 24% translates to ( \frac{24}{100} = \frac{6}{25} ).
A cube's volume relates to its side length cubed; given a volume of 64 cubic inches, the surface area is 96 square inches.
The sum of all integers from 1 to 300 can be derived using the formula for the sum of an arithmetic series, yielding 45,150.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Description

Test your Mathematics Knowledge for the ASVAB with this practice quiz. This set of flashcards covers a variety of mathematical concepts and problems, helping you prepare effectively. Each question is designed to challenge your understanding and improve your problem-solving skills.