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Sample Practice Test Questions

Arithmetic Reasoning

What is 7\( \sqrt{4} \) x 6\( \sqrt{4} \)?

168

To multiply terms with radicals, multiply the coefficients and radicands separately:

7\( \sqrt{4} \) x 6\( \sqrt{4} \)
(7 x 6)\( \sqrt{4 \times 4} \)
42\( \sqrt{16} \)

Now we need to simplify the radical:

42\( \sqrt{16} \)
42\( \sqrt{4^2} \)
(42)(4)
168

Automotive Information

What does the timing belt do?

synchronizes the camshaft and the crankshaft

Maintaining proper synchronization between the rotation of the camshaft and the rotation of the crankshaft is critical to ensure that the engine's valves open and close at the proper times during each cylinder's intake and exhaust strokes.

Math Knowledge

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

The formula for area is πr2:

a = πr2
a = π(22)
a = 4π

General Science

The formula  \(\vec{F_{g}} = { Gm_{1}m_{2} \over r^2}\) applies to which of Newton's laws?

universal gravitation

Newton's law of universal gravitation defines gravity: All objects in the universe attract each other with an equal force that varies directly as a product of their masses, and inversely as a square of their distance from each other. Expressed as a formula:  \(\vec{F_{g}} = { Gm_{1}m_{2} \over r^2}\) where r is the distance between the two objects and G is the gravitational constant with a value of 6.67 x 10-11.

Automotive Information

What is the pimary advantage of using power brakes on a vehicle?

provides higher hydraulic pressure in the braking system

Power brakes multiply the force a driver applies to the brake pedal using a vacuum booster connected to the engine intake manifold. This provides for much higher hydraulic pressure in the braking system than could be generated by the driver alone. Antilock brakes (ABS) use speed sensors and adjust the brake pressure at each wheel to prevent skidding and allow the driver more steering control in slippery conditions.

Shop Information
vernier caliper

This tool is a(n) __________.

vernier caliper

Calipers are similar to micrometers in shape but instead of measuring distances, calipers are used to transfer distances between objects. An outside caliper is used to transfer outside dimensions while an inside caliper is used to transfer inside distances. A vernier caliper is an extremely precise caliper (down to \({1 \over 1000}\) inch) that allows measuring / transferring either inside or outside dimensions.

Arithmetic Reasoning

What is (z5)4?

z20

To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

(z5)4
z(5 * 4)
z20

Automotive Information

Piston rings are responsible for which of the following?

regulating oil distribution inside the cylinder

Cylinders act as a guide for the pistons that translate the heat energy of combustion into the mechanical energy necessary to move a vehicle. Piston rings seal the piston to the cylinder to contain combustion gases and also regulate the oil distribution between the piston and cylinder wall. A cylinder head closes in the top of the cylinder forming the combustion chamber which is sealed by a head gasket (head). The head provides space for air and fuel intake valves, exhaust valves, and mounts for spark plugs and fuel injectors.

Mechanical Comprehension
How much resistance could a 190 lb. effort force lift using a block and tackle pulley that has 8 ropes supporting the resistance?
1520 lbs.

The mechanical advantage (MA) of a block and tackle pulley is equal to the number of times the effort force changes direction. An easy way to count how many times the effort force changes direction is to count the number of ropes that support the resistance which, in this problem, is 8. With a MA of 8, a 190 lbs. effort force could lift 190 lbs. x 8 = 1520 lbs. resistance.

Arithmetic Reasoning

What is -z2 + 5z2?

4z2

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

-1z2 + 5z2
(-1 + 5)z2
4z2