ASVAB Practice Test 1 Mathematics Knowledge

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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.

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