ASVAB Math Knowledge Practice Test 24767 Results

Your Results Global Average
Questions 5 5
Correct 0 2.82
Score 0% 56%

Review

1

Which of the following is not true about both rectangles and squares?

64% Answer Correctly

all interior angles are right angles

the lengths of all sides are equal

the perimeter is the sum of the lengths of all four sides

the area is length x width


Solution

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).


2

Which of the following statements about parallel lines with a transversal is not correct?

37% Answer Correctly

all of the angles formed by a transversal are called interior angles

all acute angles equal each other

same-side interior angles are complementary and equal each other

angles in the same position on different parallel lines are called corresponding angles


Solution

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).


3

What is the area of a circle with a radius of 2?

70% Answer Correctly
49π
36π

Solution

The formula for area is πr2:

a = πr2
a = π(22)
a = 4π


4

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

24% Answer Correctly

c = π r2

c = π r

c = π d2

c = 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.


5

If a = 3, b = 7, c = 1, and d = 9, what is the perimeter of this quadrilateral?

89% Answer Correctly
20
22
27
26

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 3 + 7 + 1 + 9
p = 20