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Sample Practice Test Questions

Arithmetic Reasoning

Convert 0.0006095 to scientific notation.

6.095 x 10-4

A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

0.0006095 in scientific notation is 6.095 x 10-4

Arithmetic Reasoning

How many 8-passenger vans will it take to drive all 97 members of the football team to an away game?

13 vans

Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{97}{8} \) = 12\(\frac{1}{8}\)

So, it will take 12 full vans and one partially full van to transport the entire team making a total of 13 vans.

Word Knowledge
Jade placed the fragile vase out of reach of her rambunctious boys.
frail
Delicate.
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

Arithmetic Reasoning

On average, the center for a basketball team hits 50% of his shots while a guard on the same team hits 60% of his shots. If the guard takes 25 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?

30
If the guard hits 60% of his shots and takes 25 shots he'll make:

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 25 x \( \frac{60}{100} \) = \( \frac{60 x 25}{100} \) = \( \frac{1500}{100} \) = 15 shots

The center makes 50% of his shots so he'll have to take:

shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)

to make as many shots as the guard. Plugging in values for the center gives us:

center shots taken = \( \frac{15}{\frac{50}{100}} \) = 15 x \( \frac{100}{50} \) = \( \frac{15 x 100}{50} \) = \( \frac{1500}{50} \) = 30 shots

to make the same number of shots as the guard and thus score the same number of points.

Shop Information
combination wrench

This tool is a(n) __________.

combination wrench

Wrenches are used to provide grip and mechanical advantage by applying torque to turn objects (or to keep them from turning). The longer the wrench, the more torque that can be applied. Wrench ends are available in two primary types, open-end and box-end. A box-end wrench encloses the bolt head and is useful when more torque is needed or to maintain contact in difficult to reach locations. An open-end wrench is designed for speedily loosening easier to reach fasteners. Wrenches that feature one open and one box end are called combination wrenches and adjustable wrenches feature an open end with an adjustable width.

Shop Information

You are using a hacksaw to cut a Class 8 bolt. What is the most appropriate TPI for your saw blade?

18 TPI

A Class 8 bolt is made of very hard metal and larger TPI saw blades are most appropriate for very hard metals.

Math Knowledge
30cm

If side x = 12cm, side y = 9cm, and side z = 9cm what is the perimeter of this triangle?

30cm

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 12cm + 9cm + 9cm = 30cm

Word Knowledge
Paula negated Tiffany's argument by proving that her main premise was false.
neutralize
To make invalid.
Arithmetic Reasoning

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Damon buys two shirts, each with a regular price of $39, how much will he pay for both shirts?

$58.50

By buying two shirts, Damon will save $39 x \( \frac{50}{100} \) = \( \frac{$39 x 50}{100} \) = \( \frac{$1950}{100} \) = $19.50 on the second shirt.

So, his total cost will be
$39.00 + ($39.00 - $19.50)
$39.00 + $19.50
$58.50