ASVAB Math Knowledge Practice Test 418706 Results

Your Results Global Average
Questions 5 5
Correct 0 3.00
Score 0% 60%

Review

1

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

50% Answer Correctly

a parallelogram is a quadrilateral

the area of a parallelogram is base x height

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

opposite sides and adjacent angles are equal


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).


2

The formula for the area of a circle is which of the following?

78% Answer Correctly

a = π r2

a = π d2

a = π d

a = π r


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


3

Solve b - 2b = -8b - z - 5 for b in terms of z.

34% Answer Correctly
-\(\frac{1}{10}\)z + \(\frac{3}{5}\)
\(\frac{1}{4}\)z + 1\(\frac{1}{8}\)
z - \(\frac{7}{15}\)
\(\frac{1}{9}\)z - \(\frac{5}{9}\)

Solution

To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.

b - 2z = -8b - z - 5
b = -8b - z - 5 + 2z
b + 8b = -z - 5 + 2z
9b = z - 5
b = \( \frac{z - 5}{9} \)
b = \( \frac{z}{9} \) + \( \frac{-5}{9} \)
b = \(\frac{1}{9}\)z - \(\frac{5}{9}\)


4

For this diagram, the Pythagorean theorem states that b2 = ?

47% Answer Correctly

c2 + a2

c - a

a2 - c2

c2 - a2


Solution

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)


5

A quadrilateral is a shape with __________ sides.

91% Answer Correctly

4

3

2

5


Solution

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.