PICAT Pre-ASVAB Math Quiz

Questions and Answers

How many 5 lb bags of apples can be made from 400 apples each weighing 1/4 of a pound?

100

If a pie was cut into two equal pieces, then each piece was cut in half again and further cut into two equal pieces, what portion of the pie remains after two pieces are eaten?

3/4

If a company announced that 40% of 60 people enrolled in its training program will be sent to a new plant, how many will be sent?

If a 5-foot post casts an 8-foot shadow, how tall is a nearby tree that casts a 48-foot shadow?

45 Signup and view all the answers

Small most nearly means?

little Signup and view all the answers

Emphasize most nearly means?

Accentuate Signup and view all the answers

What does 'perilous' mean in the context of a journey?

hazardous Signup and view all the answers

What does 'inept' mean?

silly Signup and view all the answers

What does 'oppressive' mean?

tyrannically Signup and view all the answers

What does 'fervently' mean?

passionate Signup and view all the answers

Devout most nearly means?

pious Signup and view all the answers

What does 'adage' mean?

proverb Signup and view all the answers

What does 'erratically' mean?

irregularly Signup and view all the answers

What does 'embody' mean?

exemplify Signup and view all the answers

What does 'admonition' mean?

warn Signup and view all the answers

What does 'communique' mean?

message Signup and view all the answers

What does 'decry' mean?

disparage Signup and view all the answers

What does 'peruse' mean?

study Signup and view all the answers

What does 'cajole' mean?

wheedle Signup and view all the answers

What does 'contentious' mean?

quarrelsome Signup and view all the answers

According to the paragraph, the lens of the eye focuses light rays as they enter the eye. What is its purpose?

Focus light Signup and view all the answers

In the passage about the heart's mitral valve, what is the author's purpose?

Convince readers of the stress on the mitral valve. Signup and view all the answers

Which of the following illustrates the correct sequence of events regarding the history of Kennicott?

Copper drew prospectors, copper ran out, town abandoned, tourist attraction Signup and view all the answers

Which of the following questions is most clearly an example of the kind discussed in the physics passage?

How fast do stones of a particular size fall? Signup and view all the answers

According to the passage, what does an allergy indicate?

Medical science does not fully understand why the body has an allergic reaction to certain substances. Signup and view all the answers

How is time generally measured according to the passage?

guessed relative Signup and view all the answers

What is the best sequence of events regarding cacti and their economic value?

Cactus have slow growth, reproduction rates restlers anticipate profits, removing cactus is a felony Signup and view all the answers

Which example best demonstrates 'seeing' as described in the passage?

She was surprised at the shiny black shell and the odd limbs of the beetle. Signup and view all the answers

What is primarily concerned in the passage regarding humorous writing?

Lack of respect given to humorous writing. Signup and view all the answers

What is true about the trees in Pierce Park?

They were planted in the early 1800s. Signup and view all the answers

What does the passage imply about the oil quota program?

Approximately 90% of crude oil needs were met domestically. Signup and view all the answers

If x + 1 equals 3, then x equals?

2 Signup and view all the answers

If a equals 6 and b equals 5, what is the value of $(A^2-B^2)^2$?

121 Signup and view all the answers

What are the factors of $x^2+4x+3$?

(x+3)(x+1) Signup and view all the answers

Simplify $\frac{3}{5}X + X$.

$\frac{8}{5}x$ Signup and view all the answers

What equation can be used to find the length of the third side if the hypotenuse of a right triangle is 14 units and one side is 9 units?

x^2 = 14^2 - 9^2 Signup and view all the answers

What is the product of $3!$?

6 Signup and view all the answers

Factor $2x^2 + xy - 3y^2$.

(2x+3y)(x-y) Signup and view all the answers

Which of the following equations graphs are straight except?

x = 4y Signup and view all the answers

What is the area of a parallelogram if its length is $x + 4$ and its height is $x + 3$?

$x^2 + 7x + 12$ Signup and view all the answers

What is the area of a triangle with a base of 8 feet and a height of 4 feet?

16 sq ft Signup and view all the answers

The reciprocal of 3 - $\frac{1}{5}$ is?

$\frac{5}{16}$ Signup and view all the answers

What is the product of $(a-1)(2a+2)$?

2(a^2-1) Signup and view all the answers

If $\frac{4}{3}\times\frac{3}{4}=5k$, what is k?

$\frac{1}{5}$ Signup and view all the answers

What is the reciprocal of 7?

$\frac{1}{7}$ Signup and view all the answers

What is $8b - ab + 7a$ subtracted from $3a - 9ab + b$?

$4a + 8ab + 7b$ Signup and view all the answers

If $\frac{x}{4}>12$, what is x?

x > 48 Signup and view all the answers

What does the abbreviation AC stand for?

alternating current Signup and view all the answers

Which tool is used to remove a module from an electronic assembly?

Chip puller Signup and view all the answers

Silicon chips are used primarily in?

Integrated circuits Signup and view all the answers

What does a standard multimeter not measure?

frequency Signup and view all the answers

When current flow is interrupted by a blown fuse, the circuit becomes?

Shorted Signup and view all the answers

Which of the following cannot be used to store an electric charge?

Fuse Signup and view all the answers

When wire conductors are coated with solder, the process is called?

tinning Signup and view all the answers

Electrical current flowing from one component to the next is an example of what kind of circuit?

series Signup and view all the answers

Which of the following is the smallest in size and can amplify electrical signals?

Switch Signup and view all the answers

In order to make an electrical current flow, what is necessary?

Copper conductor Signup and view all the answers

A device that converts sound waves to electric current is a?

transducer Signup and view all the answers

What kind of energy is converted to electrical energy by a car battery?

Chemical Signup and view all the answers

Wires are joined together with solder to ensure?

Minimum resistance Signup and view all the answers

An electric generator has all the following except?

Carburetor Signup and view all the answers

The type of electrical use to power a car radio is typically?

DC Signup and view all the answers

The most commonly used fuel for running automobile engines is?

Gasoline Signup and view all the answers

Which of the following is not part of a car's drivetrain?

Axel Signup and view all the answers

Which engine component stores oil for lubrication?

Oil pan Signup and view all the answers

A catalytic converter is part of what system?

Emission control systems Signup and view all the answers

How many crankshafts are there in a V8 automobile engine?

1 crank shaft Signup and view all the answers

The function of the master cylinder is to?

Apply hydraulic pressure to the wheel cylinders. Signup and view all the answers

Which of the following is part of a conventional distributor?

voltage regulator Signup and view all the answers

What kind of wrench should be used to tighten engine components such as manifolds and cylinder heads?

torque wrench Signup and view all the answers

Coolant flow through an engine is regulated by the?

radiator Signup and view all the answers

The starter gear disengages from the car's flywheel to avoid?

Damage to the starter. Signup and view all the answers

Nails are usually driven into wood with?

hammers Signup and view all the answers

The torque wrench is used when both need to be?

When exact force needs to be determined on the bolt. Signup and view all the answers

Taps and dies are tools to?

cut screw threads Signup and view all the answers

What is this type of pattern on metal called?

knurling Signup and view all the answers

Which tool is used to bend large sections of sheet metal?

Forge Signup and view all the answers

Four weights are tied together and hung from the ceiling, what will be the tension in the cord at the point labeled X?

60 lb Signup and view all the answers

What is placed around a chimney to prevent leaks?

splash block Signup and view all the answers

Which of the following uses a penny system to specify its size?

finishing nail Signup and view all the answers

To properly turn wood stock, one should use a?

lathe Signup and view all the answers

Which of these does not make wood chips when it is used?

drill press Signup and view all the answers

What is the technique for joining copper water pipes?

soldering Signup and view all the answers

What is a dado head used to do?

cut a groove Signup and view all the answers

Four weights are tied together and hung from the ceiling, what will be the tension in the cord at the point labeled X?

60 lb Signup and view all the answers

What would you tell a person who is trying to loosen a rusty nut with a wrench?

Use penetrating oil or heat to help loosen the rust. Signup and view all the answers

Is it true that friction forces?

False Signup and view all the answers

If a car stops suddenly, why are the passengers thrown forward against their seatbelts?

Inertia causes passengers to continue moving forward. Signup and view all the answers

In the police system, what force must be applied to balance the 10-pound weight?

The opposing force must equal 10 pounds. Signup and view all the answers

A ball is attached to one end of rod AB, and the other end is attached to a vertical rotating axle. If the axle BC rotates faster, what will angle X do?

decrease Signup and view all the answers

What is centrifugal force?

The apparent force that acts outward on a body moving around a center. Signup and view all the answers

Space instruments were created to?

explore outer space and collect data. Signup and view all the answers

Which of these reduces friction?

car brakes Signup and view all the answers

When a lobster grows a claw to replace the one that was lost, this process is called?

Regeneration Signup and view all the answers

Any smaller body traveling around a larger body is called what?

A satellite Signup and view all the answers

According to their location on the periodic table, argon (Ar) and neon (Ne) are what type of gases?

Noble gases Signup and view all the answers

Regeneration in man is limited to?

Reproduction Signup and view all the answers

By definition, an aquifer is?

A body of permeable rock that can contain or transmit groundwater. Signup and view all the answers

To test the effectiveness of a plant fertilizer, groups of plants are grown with different types of fertilizer. A control group's plants?

not be given fertilizer. Signup and view all the answers

In chemistry, to be classified as an organic substance, a substance must contain?

carbon. Signup and view all the answers

Study Notes

Mathematics and Logic

A calculation for how many 5 lb bags can be made from 400 apples weighing 1/4 lb each results in 100 bags.
A pie cut into eighths leaves 3/4 remaining after consuming 2 pieces.
For a training program of 60 enrollees, 40% would result in 24 individuals being sent to new locations.
The height of a tree can be determined by proportions, finding it to be 45 feet when a 5-foot post casts an 8-foot shadow.

Vocabulary

"Small" closely resembles "little."
"Emphasize" can be interpreted as "accentuate."
"Perilous" means "hazardous," while "inept" translates to "silly."
"Oppressive" implies a "tyrannical" nature, and "fervently" means "passionate."
"Devout" indicates a "pious" character, and "adage" refers to a "proverb."
"Erratically" supports "irregularly," while "embody" conveys "exemplify."
"Admonition" suggests a "warning," "communique" is a "message," and "decry" means "disparage."

Reading Comprehension

The lens of the eye is primarily used to focus light.
The mitral valve's crucial role in blood flow is to prevent loss while transitioning from the left atrium to the left ventricle.
In historical context, copper attracted miners, leading to the abandonment of communities once the resource was exhausted that then transformed into tourist attractions.
Simple physical questions, like the speed of falling stones, are exemplified as good scientific queries.
Allergies involve the immune system's hypersensitivity, causing symptoms due to histamine releases; the cause of these reactions remains mostly unknown.

Algebra and Geometry

Solving x + 1 = 3 indicates x equals 2.
Given a = 6 and b = 5, the expression (A^2-B^2)^2 simplifies to 121.
The polynomial x^2 + 4x + 3 factors into (x + 3)(x + 1).
The area of a parallelogram and triangle can be respectively calculated using A = B × H and A = 1/2 × base × height.
The Pythagorean theorem is approximated for a right triangle scenario with one side 9 units and hypotenuse 14 units.

Electrical Concepts

AC stands for alternating current, while common items used in electronic assemblies include a chip puller.
Silicon chips are primarily utilized in integrated circuits, and a standard multimeter measures voltage, current, and resistance but not frequency.
When current interrupts due to a blown fuse, the circuit is said to be shorted.
Electric generators typically do not include a carburetor but require a copper conductor for current flow.

Automotive Knowledge

The most commonly used fuel for engines is gasoline, and the type of electrical used for car radios is DC.
The oil pan serves to store oil for lubrication, whereas a catalytic converter aids in emission control.
Torque wrenches are essential for tightening engine components accurately, and the starter gear's disengagement prevents damage.

Construction and Tools

Hammers are the primary tool for driving nails into wood, while taps and dies create screw threads.
Knurling refers to a specific pattern process on metal, and tools for bending sheet metal include a forge.
Joining copper water pipes typically involves soldiering, and a dado head is used to cut grooves.

Science and Biology

Regeneration is the process by which a lobster regrows a lost claw, representing an example of biological recovery.
Satellites, as smaller bodies orbiting larger ones, include elements like argon and neon categorized as noble gases on the periodic table.
Aquifers are defined as permeable rocks that can hold groundwater, while organic substances in chemistry must contain carbon.

General Knowledge

Control group plants are those not given fertilizer during experiments to measure growth effectiveness.
Understanding friction forces is essential for explaining why passengers lurch forward during sudden stops, which relates to inertia.

Additional Notes

Tension in cords with weights and various other physics principles can be analyzed through mechanics.
It is important to grasp the nuances of these concepts for practical applications in engineering and sciences.

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Description

Test your math skills with this quiz designed for the PICAT Pre-ASVAB. You'll solve problems involving basic arithmetic and fractions, just like those you'll encounter on the exam. Perfect for anyone preparing for a career in the Navy!