ASVAB Math Knowledge Practice Test 554940 Results

Your Results Global Average
Questions 5 5
Correct 0 3.26
Score 0% 65%

Review

1

If angle a = 31° and angle b = 38° what is the length of angle c?

71% Answer Correctly
90°
73°
111°
95°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 31° - 38° = 111°


2

If a = 1, b = 3, c = 9, and d = 6, what is the perimeter of this quadrilateral?

88% Answer Correctly
15
19
33
14

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 1 + 3 + 9 + 6
p = 19


3

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

49% Answer Correctly

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

a parallelogram is a quadrilateral

the area of a parallelogram is base x height

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).


4

The dimensions of this cylinder are height (h) = 4 and radius (r) = 6. What is the surface area?

48% Answer Correctly
120π
196π
216π
154π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(62) + 2π(6 x 4)
sa = 2π(36) + 2π(24)
sa = (2 x 36)π + (2 x 24)π
sa = 72π + 48π
sa = 120π


5

Which of the following statements about math operations is incorrect?

70% Answer Correctly

you can add monomials that have the same variable and the same exponent

you can multiply monomials that have different variables and different exponents

all of these statements are correct

you can subtract monomials that have the same variable and the same exponent


Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.