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29 Cards in this Set

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micrometer is to machinist as trowel is to

mason

a micrometer is a tool used by a machinist.

horizontal is to vertical as warp is to
woof

horizontal is at the right angle to vertical. in yarns, warp is the right angle to...

kilometer is to meter as
millennium is to years

a kilometer is equal to 1000 meters

octagon is to square as hexagon is to
triangle

an octagon is an 8 sided polygon; a square is 4 sided. a hexagon is a 6 sided polygon

ordinance is to regulation as ordnance is to
munition
trickle is to gush as tepid is to
hot

trickle means to flow or fall gently; gush means to flow plentifully. tepid means moderately warm

a persons jogs 15 laps around a track. total distance jogged is 3 km. what's the distance around the track

200 m

1) 3km =3000 m


2) 3000/15=200 m

the floor area measures 200 ft x 200 ft. what is the max safe floor load if the maximum weight the floor area can hold is 4000 tons?

200 lbs per sq ft

1) 200 x 200 = 40000


2) 4000 tons x 2000 lbs = 8000000


3) 8000000/40000 = 200


In order to check on a shipment of 500 articles, a sampling of 50 articles was carefully inspected. Of the sample, 4 articles were found to be defective. On this basis, what is the probable percentage of defective articles in the original shipment?

8%

The sample size is 50. Four defects were found in the sample. The number of defective articles divided by the sample size (4/50) tells us how much of the sample was defective (0.08, or 8%). If 8% of the sample was defective, it is probable that the percentage of defective articles in the complete original shipment is also 8%.

Two office workers have been assigned to address 750 envelopes. One addresses twice as many envelopes per hour as the other. If it takes five hours for them to complete the job, what was the rate of the slower worker?

50 envelopes per hour

Let x equal the number of envelopes addressed in 1 hour by the slower worker, and let 2x equal the number of envelopes addressed in 1 hour by the faster worker. Together, they address 3x envelopes in an hour.


(3x)(5) = 750


15x = 750


x=50



The slower worker addresses 50 envelopes each hour.

A room measuring 15 feet wide, 25 feet long, and 12 feet high is scheduled to be painted shortly. If there are two windows in the room, each 7 feet by 5 feet, and a glass door, 6 feet by 4 feet, then the area of wall space to be painted measures:

866 sq ft

First, let's find the area of one of the long walls: 25 ft. × 12 ft. = 300 sq. ft. Since there are two long walls, the total area of the long walls is 300 × 2 = 600 sq. ft.

Now, let's find the area of the shorter walls: 15 ft. × 12 ft. = 180 sq. ft. There are two short walls, so the total area of both short walls is 2 × 180, which is 360 sq. ft. The total wall space, including the windows and door, is 600 sq. ft. + 360 sq. ft., which equals 960 sq. ft.

The windows take up 35 sq. ft. each (7 ft. × 5 ft.), and the door takes up 24 sq. ft. (6 ft. × 4 ft.). So, the total area that does not need to be painted is: 35 + 35 + 24 = 94 sq. ft.

The total area of wall space that does need to be painted is 960 – 94, or 866 sq. ft.

A pound of margarine contains four equal sticks of margarine. The wrapper of each stick has markings that indicate how to divide the stick into eight sections, each section measuring one tablespoon. If a recipe calls for four tablespoons of margarine, the amount to use is:

1/8 lbs

Each stick of margarine is 1/4 lb. Each stick consists of eight sections or tablespoons. Four sections or tablespoons are (1/2)(1/4) = 1/8 lbs

The price of a $100 item after successive discounts of 10% and 15% is:


$76.50

$100 × 0.10 = $10.00, and $100 – $10 = $90, the price after the initial 10% discount. Then: $90 × 0.15 = $13.50, and $90.00 – $13.50 = $76.50, the price after the additional 15% discount.

A certain governmental agency had a budget last year of $1,100,500. Its budget this year was 7% higher than that of last year. The budget for next year is 8% higher than this year's budget. Which of the following is the agency's approximate budget next year?

$1,271,738

$1,100,500 × 0.07 = $77,035, and $1,100,500 + $77,035 = $1,177,535, this year's budget. For next year: $1,177,535 × 0.08 = $94,203, and $1,177,535 + $94,203 = $1,271,738

If the weight of water is 62.4 pounds per cubic foot, the weight of the water that fills a rectangular container 6 inches by 6 inches by 1 foot is:

15.6 lbs

1/2 foot × 1/2 foot × 1 foot = 1/4 cubic foot



(1/4) x 62.4 pounds = 15.6 pounds.



***note: all dimensions must be in the same unit. 6 inch = 1/2 of 12 inches (1 ft)***

If there are red, green, and yellow marbles in a jar and 20% of these marbles are either red or green, what are the chances of blindly picking a yellow marble out of the jar?

4 out of 5

If 20% are either red or green, 80% are yellow. The chance of blindly picking a yellow marble is 4 out of 5 (80%).

When 550 gallons of oil are added to an oil tank that is 1/8 full, the tank becomes 1/2 full. The capacity of the oil tank is most nearly:


1470 gals

(1/8x) + 550 = (1/2x)


550 = (x/2) - (x/8)


550 = (3/8)x


x = 550 (8/3)


x = 1467

If an aircraft is traveling at 630 miles per hour, how many miles does it cover in 1200 seconds?


210 miles

1200 sec / 60 sec = 20 mins


20 mins / 60 sec = 1/3


630 x (1/3) = 210 miles



***must remember to change everything to the right unit***



If your watch gains 20 minutes per day and you set it to the correct time at 7:00 a.m., the correct time when the watch indicates 1:00 p.m. is:


12:55 pm

The interval between 7:00 a.m. and 1:00 p.m. is 6 hours, or 1/4 of a day, and 1/4 of 20 minutes equals 5 minutes. Subtracting 5 minutes from a watch reading of 1:00 p.m. equals 12:55 p.m.

It takes a runner 9 seconds to run a distance of 132 feet. What is the runner's speed in miles per hour? (5280 feet equal 1 mile)

10

The distance is (132/5280) = 1/40.


The hours is (9/3600) = 1/400.


Traveling 1/40 mile in 1/400 hour, the runner moves 1 mile in 1/10 hour, or 10 miles in 1 hour, or 10 miles per hour.

About how many meters will a point on the rim of a wheel travel if the wheel makes 35 rotations and its radius is one meter?


220

The circumference is multiplied by the number of rotations to get the distance traveled.


Which of the following integers is not a prime number?

9

A natural number that has no other factors except 1 and itself is a prime number. Nine is divisible by 1, 3, and 9.

If 3^n = 9, what is the value of 4^(n+1)?

64



The expression reduces to:



The sum of the angle measures of a pentagon is:


540

(number of sides – 2) × 180 = sum of angles. So:


If the ratio of 3x to 5y is 1:2, what is the ratio of x to y?


5/6



The distance between two points on a graph whose rectangular coordinates are (2,4) and (5,8) is most nearly:

5




The coordinates form a right triangle with a horizontal leg of 3 and a vertical leg of 4. The distance between the two points is the hypotenuse of a right triangle.



The volume of a cylinder with a radius of r and a height of h is:


r^2)h

The cube root of 729 is equal to the square of:

3

The cube root of 729 is 9 (because 93 = 9 x 9 x 9 = 729). In turn, 9 is the square of 3 (because 32 = 3 × 3 = 9).