EMT Practice Test

1. Question Content...

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Question1: The graph of f(x) is shown above.

How many values can be found for f(3)?

Question2: If q is decreased by p percent, then the value of q is now:

Question3: If x is more than one-third the value of y, which of the following expresses the value of y in terms of x?

Question4: Four copy machines make 240 total copies in three minutes.
How long will it take five copy machines to make the same number of copies?

Question5: In a restaurant, the ratio of four-person booths to two-person booths is 3:5.
If 154 people can be seated in the restaurant, how many two-person booths are in the restaurant?

Question6: In the diagram above, triangle ABC is a right triangle and the diameter of circle O is 2/3 the length of AB.

Which of the following is equal to the shaded area?

Question7: The measures of the length, width, and height of a rectangular prism are in the ratio 2:6:5.
If the volume of the prism is 1,620 mm3, what is the width of the prism?

Question8: Which of the following statements is always true if p is a rational number?

Question9: A book receives 30 reviews on Amazon as judged by a 5-star scale. Sixty percent gave the book 5 out of 5 Stars.
How many reviewers gave it this rating?

Question10: FILL BLANK
In Marie's fish tank, the ratio of guppies to platies is 4:5. She adds nine guppies to her fish tank and the ratio of guppies to platies becomes 5:4.
How many guppies are in the fish tank now?

Question11: The equation |2x - 8| + 3 = 5 has 2 solutions.
Those solutions are equal to the solutions to which of the following pairs of equations?

Question12: John took out a cash advance of x dollars from a financing company. The company deducts a fee of 1/4 of the original advanced amount along with a transfer fee of $25.
Which of the following represents the final advanced amount that John receives after all applied fees in dollars?

Question13: A 12-piece chicken meal is ordered at a local KFC, but the family ordering has decided it will give the four chicken breasts included to a homeless person.
What are the chances one of the remaining pieces is a drumstick?

Question14: In the following equation, what is the value of x?
1/2x + 4 = 3/4x - 5

Question15: In the diagram above, what is the sum of the measures of the

,

and

?

Question16: If

, then when a = 8, b could be equal to:

Question17: The pie chart above shows the distribution of video rentals from Al's Video Vault for a single night.

If 250 videos were rented that night, how many more action movies were rented than horror movies?

Question18: If

anda and c are doubled, what happens to the value of d ?

Question19: A streaming box with a list price of $120 is marked down 30%.
If Steve gets an employee discount of 20% off the sale price, how much does he pay for the device?

Question20: Based on the diagram above, which of the following is true?

Question21: ABC Cabs and Tary Taxicabs both have an initial fare of a whole number of dollars for 1 passenger. The fare increases a whole number of dollars at each whole number of miles traveled. The graphs below show the 1-passenger fares, in dollars, for both cab companies for trips up to 6 miles.

When the fares of the 2 cab companies are compared, what is the cheaper fare for a 5-mile trip?

Question22: The volume of a cylinder is 486π cubic units.
If the height of the cylinder is six units, what is the total area of the bases of the cylinder?

Question23: Marcus's favorite casserole recipe requires 3 eggs and makes 6 servings. Marcus will modify the recipe by using 5 eggs and increasing all other ingredients in the recipe proportionally.
What is the total number of servings the modified recipe will make?

Question24: The expression

is equivalent to:

Question25: In the diagram above, if line AB is parallel to line CD, and line EF is perpendicular to lines AB and CD, all of the following are true EXCEPT:

Question26: A number cube is labeled with the numbers one through six, with one number on each side of the cube.
What is the probability of rolling either a number that is even or a number that is a factor of 9?

Question27: The Smith family is planning to build a 3-room cabin which consists of 2 bedrooms (BR) and 1 living room (LR). Shown below are the rectangular floor plan (left figure) and a side view of the cabin (right figure). In the side view, the roof forms an isosceles triangle (ABC), the walls are perpendicular to the level floor (

),

, F is the midpoint of

, and

.

During the week the Smiths plan to roof the cabin, there is 20% chance of rain each day.
Mr, Smith plans to build a 3-foot-wide walkway around the outside of the cabin, as shown in the floor plan.
What will be the area, in square feet, of the top surface of the walkway?

Question28: What is the probability that a number selected at random from the set {2, 3, 7, 12, 15, 22, 72, 108} will be divisible by both 2 and 3?

Question29: If y = - x 3 + 3 x - 3, what is the value of y when x = -3?

Question30: The 3rd and 4th terms of an arithmetic sequence are13 and 18, respectively.
What is the 50th term of the sequence?

Question31: The frequency chart below shows the cumulative number of Ms. Hernandez's science students whose test scores fell within certain score ranges. All test scores are whole numbers.

How many students have a test score in the interval 71 - 80?

Question32: In the diagram above of f(x), for how many values does f(x) = -1?

Question33: An empty crate weighs 8.16 kg and an orange weighs 220 g.
If Jon can lift 11,000 g, how many oranges can he pack in the crate before lifting it onto his truck?

Question34: FILL BLANK

In the diagram above, lines K and L are parallel, and lines M and N are parallel. If b = 8, then a = ____.

Question35: The line y = -2x + 8 is:

Question36: What is the next number in the series below?
3 16 6 12 12 8

Question37: In triangle DEF, the length of

is
√30inches, and the length of

is 3inches. If it can
be determined, what is the length, in inches, of

?

Question38: Which of the following equations represent the linear relationship between time, t, and velocity, v, shown in the table below?

Question39: FILL BLANK
DeDe and Mike both run the length of a two-mile field. If DeDe runs 5 mph and Mike runs 6 mph, how many more minutes does it take DeDe to run the field?

Question40: If 40% of j is equal to 50% of k, then j is:

Question41: In the diagram above, line AB is parallel to line CD, both lines are tangents to circle O and the diameter of circle O is equal in measure to the length of line OH.

If the diameter of circle O is 24 in, what is the measure of

?

Question42: What is the value of the expression below?

Question43: In the diagram above, line OA is congruent to line OB.

What is the measure of arc CD?

Question44: FILL BLANK

In the diagram above, what is the length of side FG?

Question45: If 4x + 5 = 15, then 10x + 5 =:

Question46: The expression

can be reduced to:

Question47: FILL BLANK
A bus holds 68 people. If there must be one adult for every four children on the bus, how many children can fit on the bus?

Question48: Which of the following number pairs is in the ratio 4:5?

Question49: What is the difference between 1.8 and

? (Note: A bar indicates a digit pattern that is repeated.)

Question50: If x × y = 144, x + y = 30, and x > y, what is the value of x/y?

Question51: The average of 5 distinct scores has the same value as the median of the 5 scores. The sum of the 5 scores is 420.
What is the sum of the 4 scores that are NOT the median?

Question52: If 3 x - y = 2 and 2 y - 3 x = 8, which of the following is equal to x / y ?

Question53: At the school carnival, Mike will play a game in which he will toss a penny, a nickel, and a dime at the same time. He will be awarded 3 points for each coin that lands with heads faceup. Let the random variable x represent the total number of points awarded on any toss of the coins.
What is the expected value of x?

Question54: The expression 9 × ( x - 3) + 2 × (4 x + 4) is equivalent to:

Question55: In the standard (x, y) coordinate plane, what is the slope of the line given by the equation 4x = 7y + 5?

Question56: The area of an isosceles right triangle is 18 cm2.What is the length of the hypotenuse of the triangle?

Question57: A banquet hall charges a base price of x dollars for one hour of rental time. A sales tax of a certain percentage is applied to the base price, and an untaxed deposit is added.
If the total amount is paid at the time of the purchase for one night is given by the expression 1.085x + 18, then what is the sales tax, expressed as a percentage of the base price?

Question58: A room has a rectangular floor that is 15 feet by 21 feet.
What is the area of the floor in square yards?

Question59: Lindsay grows only roses and tulips in her garden. The ratio of roses to tulips in her garden is 5:6.
If there are 24 2 total flowers in her garden, how many of them are tulips?

Question60: FILL BLANK
There are seven students on the trivia team. Mr. Randall must choose four students to participate in the trivia challenge.
How many different groups of four students can Mr. Randall form?

Question61: The fluctuation of water depth at a pier is shown in the figure below.

One of the following values gives the positive difference, in feet, between the greatest water depth and the least water depth shown in this graph.
Which value is it?

Question62: Balloons are sold according to the chart above. If a customer buys one balloon at a time, the cost is $1.00 per balloon. If a customer buys ten balloons at a time, the cost is $0.90 per balloon.

If Carlos wants to buy 2,000 balloons, how much money does he save by buying 1,000 balloons at a time rather than ten balloons at a time?

Question63: What is the tenth term of the pattern below?
2/3, 4/9, 8/27, 16/81 ...

Question64: If

, then ( h ^ g ) ^ h =:

Question65: The 35-member History Club is meeting to choose a student government representative. The members decide that the representative, who will be chosen at random, CANNOT be any of the 3 officers of the club.
What is the probability that Hiroko, who is a member of the club but NOT an officer, will be chosen?

Question66: The length of an edge of a cube is equal to half the height of a cylinder that has a volume of 160π cubic units.
If the radius of the cylinder is 4 units, what is the surface area of the cube?

Question67: Which of the following is the midpoint of a line with endpoints at (-2, -8) and (8, 0)?

Question68: A line has a y-intercept of -6 and an x-intercept of 9.
Which of the following is a point on the line?

Question69: If

anda = 4 and b = 8, which of the following could be true?

Question70: What is the degree measure of the acute angle formed by the hands of a 12-hour clock that reads exactly 1 o'clock?

Question71: Which of the following represents four times the sum of x and 8?

Question72: Which of the following is equivalent to (12x 2 + 4x + 5y) + (3x 2 - 2x + 3y) = 15x 2 + 2x + 8y?

Question73: The population ( x ) of town ( y ) since 2000 can be estimated by the equation x = 1.0635 z + 3,250, where z is the number of years since 2000 and 0 ≤ z ≤ 20.
In the context of this equation, what does the number 1.0635 most likely represent?

Question74: A circle in the standard ( x , y ) coordinate plane has center C (-1, 2) and passes through A (2, 6). Line segment

is a diameter of this circle. What
are the coordinates of point B?

Question75: In the diagram above, lines EF and GH are parallel, and line AB is perpendicular to lines EF and GH.

What is the length of line AB?

Question76: Rob has six songs on his portable music player.
How many different four-song orderings can Rob create?

Question77: If g × 1/4 = 16, then g × (-1/5):

Question78: The function m#n is equal to m 2 - n.
Which of the following is equivalent to m#(n#m)?

Question79: In the diagram above, FDCB is a rectangle. Line ED is six units long, line AB is ten units long, and the
measure of angle ECD is 60º.

What is the length of line AE?

Question80: What is the tenth term of the pattern below?

Question81: In the diagram above, ABDE is a square and BCD is an equilateral triangle.

If FC = 6√3 cm, what is the perimeter of ABCDE?

Question82: Which of the following expressions is undefined when x = -2?

Question83: FILL BLANK
The ratio of the number of linear units in the circumference of a circle to the number of square units in the area of that circle is 2:5.
What is the radius of the circle?

Question84: If the statement "No penguins live at the North Pole" is true, which of the following statements must also be true?

Question85: FILL BLANK
Find the measure of

Question86: There are seven vocalists, four guitarists, four drummers, and two bassists in Glen Oak's music program, while there are five vocalists, eight guitarists, two drummers, and three bassists in Belmont's music program.
If a band comprises one vocalist, one guitarist, one drummer, and one bassist, how many more bands can be formed in Belmont?

Question87: If a + 3b = 37 and a - 3b = 19, then b = ___.

Question88: Which of the following is an irrational number?

Question89: FILL BLANK
If a number is chosen at random from a set that contains only the whole number factors of 24, what is the probability that the number is either a multiple of four or a multiple of six?

Question90: If x 2 + 13 x = 90 and x > 0, what is the value of x ?

Question91: Mikea, an intern with the Parks and Recreation Department, is developing a proposal for the new a trapezoidal Springdale Park. The figure below shows her scale drawing of the proposed park with 3 side lengths and radius of the merry-go-round given in inches. In Mikea's scale drawing, 1 inch represents
1.5 feet.

What is the area, in square inches, of the scale drawing of the park?

Question92: If 2(x - 14) = 22, then x = ___.