Questão 1
Questão
Line AC = 2 x (3)1/2.
If the area of the top of a circular cylinder equals the shaded region in the above diagram, then what is the radius of the circular cylinder?
Questão 2
Questão
If the mean and median are the same in the following set of positive integers, then what could x equal?
17, 5, 11, 2, 20, 9, x
Questão 3
Questão
If Z is divisible by 2, 6, and 7, then which of the following is also divisible by these numbers?
Responda
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Z + 42
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Z + 10
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Z + 5
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Z + 20
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Z + 36
Questão 4
Questão
What is the distance between the points (1,0) and (5,0)?
Questão 5
Questão
Metropolis is 450 miles from Gotham City. Keisha boards a train in Metropolis, headed for Gotham City, at 10 am. Her train travels at 45 miles per hour.
Jerome boards an express train in Gotham City, headed for Metropolis, at 4 pm. His train travels at 100 miles per hour.
Who will reach their destination first, and at what time?
Responda
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Keisha, 7:00 pm
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Jerome, 7:30 pm
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Jerome, 7:00 pm
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Jerome, 8:30 pm
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Keisha, 8:00 pm
Questão 6
Questão
If the two legs of a right triangle are measured to be 10m and 24m, what must the perimeter of this triangle be?
Questão 7
Questão
What is the midpoint of (-2, 1) and (4, 5)?
Responda
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(2, 2)
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(3, 1)
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(1, 1)
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(1, 3)
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(2, 3)
Questão 8
Questão
A car travels 27 meters per second for 10 minutes.
How many meters does it travel in that time?
Responda
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1,620 meters
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48,600 meters
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270 meters
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2,700 meters
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16,200 meters
Questão 9
Questão
The price of gasoline is $2.35 per gallon.
If Tony needs fourteen gallons for his car, what will the total price be?
Responda
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$32.90
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$94.00
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$35.42
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$9.40
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$29.70
Questão 10
Questão
Consider triangles ABC and DEF. ∠A and ∠D have the same measure and ∠B and ∠E have the same measure.
If AB = x + 6, BC = x, DE = 3x, and EF = 3 - x, which of the following is true?
Responda
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AC is 1.78 times longer than DF.
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AB is 1.46 times shorter than BC.
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AC is 1.46 times longer than DF.
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AC is 0.56 times shorter than DF.
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AB is 1.78 times longer than BC.
Questão 11
Questão
John makes 7 dollars an hour, and was given a 100 dollar bonus for starting the job.
If John must make at least $1,000, which of the following equations could be used to solve for the number of hours he has to put in?
Responda
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7x > 950
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7x + 100 ≥ 1,000
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x ≥ 500
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7x + 100 < 1,000
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7x > 800
Questão 12
Questão
Romeo needs to climb up to the third floor window of Juliet's house to visit her. The window is 24 feet above the ground, and there is a 10 foot wide moat around the base of the house, in which he cannot place the ladder.
How long is the shortest ladder Romeo will need to reach Juliet's window?
Responda
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30 feet
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28 feet
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34 feet
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26 feet
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24 feet
Questão 13
Questão
If x = 16 and x(-2) = y, what is xy?
Questão 14
Questão
x + y > 8
2x + 2y > ?
Questão 15
Questão
3x / 4 = 3
If y = 4, then what is 3x + 2y?
Questão 16
Questão
In a class of 20 students, 85% of them were present on test day. The average test score of those present was 78%.
What is the approximate average score the absent students need to earn on the make-up test in order to bring the class test average to 80%?
Questão 17
Questão
Mary and Tom are standing next to each other and walk in opposite directions for one minute. Over the course of the minute, the midpoint between them has moved from the starting point towards Mary by one meter.
If Tom was walking at one meter per minute, how fast was Mary walking?
Responda
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3 meters per minute
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4 meters per minute
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2 meters per minute
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5 meters per minute
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1.5 meters per minute
Questão 18
Questão
The variable y varies directly as v, and y is 2 when v is 8.
When y = 3, what is v - y?
Questão 19
Questão
A right triangle with a hypotenuse of 10 is similar to another right triangle with legs of lengths 3 and 4.
What is one half of the sum of the areas of the triangles?
Questão 20
Questão
If ba = c, then what is 2b?
Responda
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None of these
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(2a) / c
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2c
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2ba
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(2c) / a