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Sample Practice Test Questions

Arithmetic Reasoning

A machine in a factory has an error rate of 6 parts per 100. The machine normally runs 24 hours a day and produces 5 parts per hour. Yesterday the machine was shut down for 6 hours for maintenance.

How many error-free parts did the machine produce yesterday?

84.6

The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:

\( \frac{6}{100} \) x 5 = \( \frac{6 \times 5}{100} \) = \( \frac{30}{100} \) = 0.3 errors per hour

So, in an average hour, the machine will produce 5 - 0.3 = 4.7 error free parts.

The machine ran for 24 - 6 = 18 hours yesterday so you would expect that 18 x 4.7 = 84.6 error free parts were produced yesterday.

Arithmetic Reasoning

A triathlon course includes a 500m swim, a 30.8km bike ride, and a 8.100000000000001km run. What is the total length of the race course?

39.4km

To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 500 meters to kilometers, divide the distance by 1000 to get 0.5km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.5km + 30.8km + 8.100000000000001km
total distance = 39.4km

Math Knowledge

Order the following types of angle from least number of degrees to most number of degrees.

acute, right, obtuse

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.

General Science

The crust and lithosphere of the Earth is made up of which of the following?

plates

The crust and the rigid lithosphere (upper mantle) is made up approximately thirty separate plates. These plates more very slowly on the slightly more liquid mantle (asthenosphere) beneath them. This movement has resulted in continental drift which is the gradual movement of land masses across Earth's surface. Continental drift is a very slow process, occurring over hundreds of millions of years.

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.

Electronics Information

What is the potential difference in an electrical circuit a measure of?

the voltage at a specific location in the circuit

Electrons flow from an area of high concentration to an area of low concentration. A high voltage indicates a high concentration of electrons that creates a greater potential for electron flow than a low voltage. When applied to a load, voltage creates electricity and potential difference is the measure of voltage at a specific location in an electrical circuit.

General Science

What part of the nervous system controls simple reflexes?

spinal cord

The spinal cord connects the brain to the body's network of nerves. It carries impulses between all organs and the brain and controls simple reflexes.

General Science

When two air masses meet and neither is displaced, what kind of front is present?

stationary

When two air masses meet and neither is displaced, a stationary front is created. Stationary fronts often cause persistent cloudy wet weather.

Electronics Information

Electrons will flow as current from areas of __________ potential (concentration of electrons) to areas of __________ potential.

high, low

Voltage (V) is the electrical potential difference between two points. Electrons will flow as current from areas of high potential (concentration of electrons) to areas of low potential. Voltage and current are directly proportional in that the higher the voltage applied to a conductor the higher the current that will result.

General Science

Which of the following is the smallest component of an element that still retains the properties of the element?

atom

An atom is the smallest component of an element that still retains the properties of the element.