ASVAB Math Knowledge Practice Test 458919 Results

Your Results Global Average
Questions 5 5
Correct 0 3.02
Score 0% 60%

Review

1

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

63% Answer Correctly

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

all interior angles are right angles


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 types of triangles will always have at least two sides of equal length?

54% Answer Correctly

equilateral, isosceles and right

equilateral and right

equilateral and isosceles

isosceles and right


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.


3

A trapezoid is a quadrilateral with one set of __________ sides.

70% Answer Correctly

equal angle

parallel

right angle

equal length


Solution

A trapezoid is a quadrilateral with one set of parallel sides.


4

Find the value of a:
-6a + x = 5
3a + 4x = -9

42% Answer Correctly
\(\frac{3}{4}\)
-3\(\frac{7}{10}\)
-1\(\frac{2}{27}\)
-\(\frac{9}{19}\)

Solution

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

-6a + x = 5
x = 5 + 6a

then substitute the result (5 - -6a) into the second equation:

3a + 4(5 + 6a) = -9
3a + (4 x 5) + (4 x 6a) = -9
3a + 20 + 24a = -9
3a + 24a = -9 - 20
27a = -29
a = \( \frac{-29}{27} \)
a = -1\(\frac{2}{27}\)


5

On this circle, line segment AB is the:

71% Answer Correctly

radius

chord

diameter

circumference


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).