ASVAB Math Knowledge Practice Test 735189 Results

Your Results Global Average
Questions 5 5
Correct 0 3.18
Score 0% 64%

Review

1

A cylinder with a radius (r) and a height (h) has a surface area of:

54% Answer Correctly

π r2h

π r2h2

2(π r2) + 2π rh

4π r2


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.


2

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

91% Answer Correctly

exponents

division

pairs

addition


Solution

When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)


3

What is 9a2 - 4a2?

74% Answer Correctly
13a4
36a2
13
5a2

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

9a2 - 4a2 = 5a2


4

Solve for a:
8a - 3 = \( \frac{a}{7} \)

46% Answer Correctly
-4
\(\frac{21}{55}\)
-1\(\frac{1}{3}\)
1\(\frac{1}{6}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

8a - 3 = \( \frac{a}{7} \)
7 x (8a - 3) = a
(7 x 8a) + (7 x -3) = a
56a - 21 = a
56a - 21 - a = 0
56a - a = 21
55a = 21
a = \( \frac{21}{55} \)
a = \(\frac{21}{55}\)


5

Which of the following statements about a parallelogram is not true?

50% Answer Correctly

opposite sides and adjacent angles are equal

the perimeter of a parallelogram is the sum of the lengths of all sides

the area of a parallelogram is base x height

a parallelogram is a quadrilateral


Solution

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).