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Sample Practice Test Questions

Math Knowledge

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

c = π d

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.

Arithmetic Reasoning

How many 2\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 20 gallon tank to fill it exactly halfway?

4

To fill a 20 gallon tank exactly halfway you'll need 10 gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:

cans = \( \frac{10 \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 4

Arithmetic Reasoning

What is \( 5 \)\( \sqrt{20} \) - \( 2 \)\( \sqrt{5} \)

8\( \sqrt{5} \)

To subtract these radicals together their radicands must be the same:

5\( \sqrt{20} \) - 2\( \sqrt{5} \)
5\( \sqrt{4 \times 5} \) - 2\( \sqrt{5} \)
5\( \sqrt{2^2 \times 5} \) - 2\( \sqrt{5} \)
(5)(2)\( \sqrt{5} \) - 2\( \sqrt{5} \)
10\( \sqrt{5} \) - 2\( \sqrt{5} \)

Now that the radicands are identical, you can subtract them:

10\( \sqrt{5} \) - 2\( \sqrt{5} \)
(10 - 2)\( \sqrt{5} \)
8\( \sqrt{5} \)

Math Knowledge

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

equilateral and isosceles

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.

General Science

The fossil record is a product of which period of Earth's history?

Cambrian

The Cambrian period is one of the most significant geological time periods. Lasting about 53 million years, it marked a dramatic burst of changes in life on Earth known as the Cambrian Explosion. It is from this period that the majority of the history of life on Earth, as documented by fossils, is found. Called the fossil record, the layering of these mineralized imprints of organisms preserved in sedementary rock have allowed geologists to build a historical record of plant and animal life on Earth.

General Science

Regulation of heart rhythm occurs in:

medulla

Part of the brainstem, the medulla is the connection between the brain and the spinal cord. It controls involuntary actions like breathing, swallowing, and heartbeat.

Automotive Information

The combustion chamber is enclosed by the:

cylinder head

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.

General Science

An endoskeleton (internal skeleton) is a charateristic of __________ animals, including humans.

vertebrate

An endoskeleton (internal skeleton) is a charateristic of vertebrate animals, including humans.

Electronics Information
20 Ω Use Ohm's Law to calculate the value of resistance in this circuit if voltage is 40 volts and current is 2 amps.
20 Ω

Ohm's law specifies the relationship between voltage (V), current (I), and resistance (R) in an electrical circuit: V = IR.

Solved for resistance, R = \( \frac{V}{I} \) = \( \frac{40}{2} \) = 20 Ω

General Science

Reproductive haploids are also known as:

gametes

Reproductive (haploid) cells known as gametes have half as many (23) pairs of chromosomes as normal (diploid) cells. When the male gamete (sperm) combines with the female gamete (ovum) through meiosis to form a zygote, each gamete supplies half the chromosomes needed to form the normal diploid cells.