ASVAB Math Knowledge Practice Test 766949 Results

Your Results Global Average
Questions 5 5
Correct 0 3.17
Score 0% 63%

Review

1

A quadrilateral is a shape with __________ sides.

91% Answer Correctly

2

3

4

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.


2

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

77% Answer Correctly

a = π r2

a = π d2

a = π r

a = π d


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

Find the value of a:
5a + y = -5
-5a + 9y = -9

42% Answer Correctly
-\(\frac{18}{25}\)
\(\frac{2}{3}\)
-2\(\frac{3}{4}\)
-3\(\frac{2}{9}\)

Solution

You need to find the value of a so solve the first equation in terms of y:

5a + y = -5
y = -5 - 5a

then substitute the result (-5 - 5a) into the second equation:

-5a + 9(-5 - 5a) = -9
-5a + (9 x -5) + (9 x -5a) = -9
-5a - 45 - 45a = -9
-5a - 45a = -9 + 45
-50a = 36
a = \( \frac{36}{-50} \)
a = -\(\frac{18}{25}\)


4

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

54% Answer Correctly

2(π r2) + 2π rh

π r2h2

4π r2

π r2h


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.


5

The dimensions of this trapezoid are a = 4, b = 4, c = 6, d = 9, and h = 3. What is the area?

51% Answer Correctly
20
19\(\frac{1}{2}\)
30
6

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(4 + 9)(3)
a = ½(13)(3)
a = ½(39) = \( \frac{39}{2} \)
a = 19\(\frac{1}{2}\)