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Sample Practice Test Questions

Math Knowledge
c2 - a2

For this diagram, the Pythagorean theorem states that b2 = ?

c2 - a2

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)

General Science

Which of these does not contain oxygenated blood?

right atrium

To provide oxygen to the body, blood flows through the heart in a path formed by the right atrium → right ventricle → lungs → left atrium → left ventricle → body. When blood enters the right side of the heart it is deoxygenated. It enters the left side of the heart oxygenated after traveling to the lungs.

Arithmetic Reasoning

What is c5 x 4c7?

4c12

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

c5 x 4c7
(1 x 4)c(5 + 7)
4c12

Automotive Information

Waste gases from combustion are removed from the combustion chamber by the:

exhaust valve

The combustion chamber is located in the cylinder head and contains the combustion of the air-fuel mixture. This mixture is delivered by an intake valve and the waste gases from combustion are removed from the combustion chamber by the exhaust valve.

General Science

pH is a scale that measures of how basic or acidic a solution is. A solution with a pH of 9 is:

alkaline

An acid is a substance that gives up positively charged hydrogen ions (H+) when dissolved in water. A base (alkaline) gives up negatively charged hydroxide ions (OH-) when dissolved in water. pH is a scale that measures of how basic or acidic a solution is. Numbered from 0 to 14, solutions with a pH of 7 are neutral, less than 7 are acidic, more than 7 are alkaline.

Word Knowledge
Finite most nearly means:
limited
Having definite limits.
Mechanical Comprehension

The advantage of using a third-class lever is that it increases:

the speed of the load

A third-class lever is used to increase distance traveled by an object in the same direction as the force applied. The fulcrum is at one end of the lever, the object at the other, and the force is applied between them. This lever does not impart a mechanical advantage as the effort force must be greater than the load but does impart extra speed to the load. Examples of third-class levers are shovels and tweezers.

Automotive Information

The catalytic converter output consists primarily of:

water and carbon dioxide

The catalytic converter converts pollutants in exhaust gas into less pollutant substances like carbon dioxide and water.

Shop Information

A __________ is driven by a motor and used to shape and form edge contours.

router

A router is a tool that a worker uses to rout (hollow out), shape, or contour an area in relatively hard material like wood or plastic.

Math Knowledge
40

This diagram represents two parallel lines with a transversal. If w° = 40, what is the value of a°?

40

For parallel lines with a transversal, the following relationships apply:

  • angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
  • alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
  • 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°)

Applying these relationships starting with w° = 40, the value of a° is 40.