ASVAB Math Knowledge Practice Test 234727 Results

Your Results Global Average
Questions 5 5
Correct 0 3.08
Score 0% 62%

Review

1

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

55% 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.


2

The dimensions of this trapezoid are a = 4, b = 8, c = 5, d = 3, and h = 2. What is the area?

51% Answer Correctly
17\(\frac{1}{2}\)
11
24
20

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(8 + 3)(2)
a = ½(11)(2)
a = ½(22) = \( \frac{22}{2} \)
a = 11


3

If side x = 14cm, side y = 12cm, and side z = 8cm what is the perimeter of this triangle?

85% Answer Correctly
37cm
34cm
27cm
20cm

Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 14cm + 12cm + 8cm = 34cm


4

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

54% Answer Correctly

4π r2

π r2h

π r2h2

2(π r2) + 2π rh


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

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

64% Answer Correctly

the area is length x width

the lengths of all sides are equal

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

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).