EMT Practice Test

1. Question Content...

---

Question1: What two values are not in the domain of

?

Question2: How does the area of a rectangle change if both the base and the height of the original rectangle are tripled?

Question3: FILL BLANK
Robert is practicing for the long jump competition. His first four jumps measure 12.4 ft, 18.9 ft, 17.3 ft, and
15.3 ft, respectively.
If he averages 16.3 feet for his first five jumps, what is the length in feet of his fifth jump?

Question4: The distribution of Jamal's high school grades by percentage of course credits is given in the circle graph below.

What is Jamal's grade point average if each A is worth 4 points; each B, 3 points; and each C, 2 points?

Question5: 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?

Question6: 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?

Question7: Which of the following has a vertex of (4, -4)?

Question8: What is the tenth term of the pattern below?

Question9: In the diagram above, line OA is congruent to line OB.

What is the measure of arc CD?

Question10: Monica sells pretzels in the cafeteria every school day for a week. She sells 14 pretzels on Monday, 12 pretzels on Tuesday, 16 pretzels on Wednesday, and 12 pretzels on Thursday. Then, she calculates the mean, median, and mode of her sales.
If she sells 13 pretzels on Friday, then:

Question11: The expression

is equivalent to:

Question12: FILL BLANK
There are 750 students in the auditorium for an assembly. When the assembly ends, the students begin to leave. If 32% of the students have left so far, how many students are still in the auditorium?

Question13: The length of a rectangle is one greater than three times its width. If the perimeter of the rectangle is 26 feet, what is the area of the rectangle?

Question14: In Cherokee County, the fine for speeding is $17 for each mile per hour the driver is traveling over the posted speed limit. In Cherokee County, Kirk was fined $221 for speeding on a road with a posted speed limit of 30 mph.
Kirk was fined for traveling at what speed, in miles per hour?

Question15: 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?

Question16: The volume of a glass of water placed in the sun decreases by 20%.
If there are 240 ml of water in the glass now, what was the original volume of water in the glass?

Question17: 8% of 60 is 1/5 of what number?

Question18: 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?

Question19: What is the probability that a number selected at random from the set {2, 4, 5, 7, 9, 10, 12, 13, 18, 20, 60, 124} will be divisible by both 2 and 5?

Question20: If

and

,

___.

Question21: Which of the following equations represent the linear relationship between time, t, and velocity, v, shown in the table below?

Question22: Which of the following statements must be true whenever n, a, b, and c are positive integers such that n < a, c > a, and b > c?

Question23: The graph of y = |x - 6| is in the standard (x, y) coordinate plane.
Which of the following transformations, when applied to the graph of y = | x |, results in the graph of y = |x - 6|?

Question24: What is the perimeter, in feet, of a rectangle with width 10 feet and length 20 feet?

Question25: A building built on a level field casts a shadow seven feet long and stands 35 feet tall. A nearby building casts a shadow 14 feet long.
How tall is the building?

Question26: Given a positive integer n such that i n = 1, which of the following statements about n must be true? (Note: i 2 = -1)

Question27: Which of the following is the set of positive factors of 1 2 that are NOT multiples of 2?

Question28: Melissa runs the 50-yard dash five times, with times of 5.4 seconds, 5.6 seconds, 5.4 seconds, 6.3 seconds, and 5.3 seconds.
If she runs a sixth dash, which of the following would change the mean and mode of her scores, but not the median?

Question29: If 0.34 < x < 0.40 and 5/16 < x < 9/20, which of the following could be x?

Question30: If

, then ( h ^ g ) ^ h =:

Question31: If 2(x - 14) = 22, then x = ___.

Question32: 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?

Question33: The expression

is equivalent to:

Question34: If m = 6, then the expression

is equal to:

Question35: 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?

Question36: In the following equation, what is the value of x?
1/2x + 4 = 3/4x - 5

Question37: The average of five consecutive odd integers is -21.
What is the least of these integers?

Question38: If set M contains only the positive factors of 8 and set N contains only the positive factors of 16, then the union of sets M and N:

Question39: The value of d is increased 50%, then decreased 50%.
Compared to its original value, the value of d is now:

Question40: The expression

can be reduced to:

Question41: 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?

Question42: The expression 4x 2 - 2x + 3 is equal to 3 when x = 0 and when x =

Question43: In the diagram above, ABC and DEC are right triangles, the length of side BC is 15 units, and the measure of

is 60º.

If

is congruent to

, what is the length of side DC?

Question44: 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?

Question45: The graph of f(x) is shown above.

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

Question46: What is the degree measure of the obtuse angle formed by the hands of a 12-hour clock that reads exactly one o'clock?

Question47: Armin is trying to decide whether to buy a season pass to his college basketball team's 20 home games this season. The cost of an individual ticket is $14, and the cost of a season pass is $175. The season pass will admit Armin to any home basketball game at no additional cost.
What is the minimum number of home basketball games Armin must attend this season in order for the cost of a season pass to be less than the total cost of buying an individual ticket for each game he attends?

Question48: Sales for a business were $4 million more the second year than the first, and sales for the third year were double sales of year two.
If sales of the third year were $48 million, what were sales in millions of dollars for the first year?

Question49: What is the difference between 1.8 and

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

Question50: For what positive real value of k , if any, is the determinant of the matrix

equal to k ? (Note: The determinant of matrix

equalsad - bc .)

Question51: If n = 8 and 16 × 2 m = 4 n - 8 , then m = ___.

Question52: Gil drives five times farther in 40 minutes than Warrick drives in 30 minutes.
If Gil drives 45 miles per hour, how fast does Warrick drive?

Question53: 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?

Question54: Which of the following is equivalent to (12x 2 + 4x + 5y) + (3x 2 - 2x + 3y) = 15x 2 + 2x + 8y?

Question55: If

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

Question56: Let the function f be defined as f(x) = 5x 2 - 7(4x + 3).
What is the value of f(3)?

Question57: Which of the following expressions is undefined when x = -2?

Question58: A rectangle with a perimeter of 30 centimeters is twice as long as it is wide.
What is the area of the rectangle in square centimeters?

Question59: What is the greatest common factor of 52, 156, and 260?

Question60: In parallelogram ABCD below,

is a diagonal, the measure of

is 40°, and the
measure of

is
57°.

What is the measure of

?

Question61: 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?

Question62: What is the degree measure of the acute angle formed by the hands of a 12-hour clock that reads exactly 1 o'clock?

Question63: What is the sum of the solutions of the 2 equations below?
8 x = 12
2 y + 10 = 22

Question64: For which of the following conditions will the sum of integers m and n always be an odd integer?

Question65: FILL BLANK
If -6 b + 2 a - 25 = 5 and

, what is the value of

?

Question66: If the statement "All students take the bus to school" is true, then which of the following must be true?

Question67: For -π/2 ≤ θ ≤ π/2, |sin θ | ≥ 1 is true for all and only the values of θ in which of the following sets?

Question68: Which of the following is the midpoint of a line with endpoints at (-2, -8) and (8, 0)?

Question69: The diagonal of one face of a cube measures 4√2 in.
What is the volume of the cube?

Question70: In the diagram above, lines M and N are parallel.

All of the following are true EXCEPT:

Question71: 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

?

Question72: In the diagram above, if

measures 110º, what is the
measure of arc AC?

Question73: If the surface area of a cube is 384 cm2, what is the volume of the cube?

Question74: A box in the shape of a cube has an interior side length of 18 inches and is used to ship a right circular cylinder with a radius of 6 inches and a height of 1 2 inches. The interior of the box not occupied by the cylinder is filled with packing material.
Which of the following numerical expressions gives the number of cubic inches of the box filled with packing material?

Question75: Rob has six songs on his portable music player.
How many different four-song orderings can Rob create?

Question76: Laura plans to paint the 8-foot-high rectangular walls of her room, and before she buys paint she needs to know the area of the wall surface to be painted. Two walls are 10 feet wide, and the other 2 walls are 15 feet wide. The combined area of the 1 window and the 1 door in her room is 60 square feet.
What is the area, in square feet, of the wall surface Laura plans to paint?

Question77: 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?

Question78: 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?

Question79: If x 2 + 16x = 161, and x > 0, what is the value of x?

Question80: In the diagram above, what is the sum of the measures of the

,

and

?

Question81: If q is decreased by p percent, then the value of q is now:

Question82: Greg has nine paintings. The Hickory Museum has enough space to display three of them.
From how many different sets of three paintings does Greg have to choose?

Question83: Which number is a common multiple of 35, 5, and 50?

Question84: When x= -3, the expression -2x 2 + 3x - 7 =:

Question85: 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

?

Question86: If 3x - 1 = 11, what is the value of 3x + 1?

Question87: 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?

Question88: The radius of the outer circle shown above is 1.2 times greater than the radius of the inner circle.

What is the area of the shaded region?

Question89: 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?

Question90: The list of numbers 41, 35, 30, X, Y, 15 has a median of 25. The mode of the list of numbers is 15.
To the nearest whole number, what is the mean of the list?

Question91: The equation |2x - 8| + 3 = 5 has 2 solutions.
Those solutions are equal to the solutions to which of the following pairs of equations?

Question92: FILL BLANK
Stephanie buys almonds at the grocery store for $1.00 per pound. If she buys 4 pounds of almonds and pays a 5% tax on her purchase, what is Stephanie's total bill?

Question93: 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. Mikea's proposal includes installing a fence on the perimeter of the park.

What is the perimeter, in feet, of the park?

Question94: FILL BLANK

In the diagram above, the radius of the circle is 20 units and the length of arc AB is 15π units.
What is the measure in degrees of

?

Question95: FILL BLANK

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

Question96: In the diagram above, line AB is parallel to line CD,

measures 140º and

measures 55º.

What is the measure of

?

Question97: For what value of x is the equation 8/x = 6/12?

Question98: 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?

Question99: 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?

Question100: If n = 8, what is 4 n - 8 ?

Question101: 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?

Question102: A dish is cooked with the secret ingredients A, B, and C mixed in the ratio 2:3:5, respectively, by weight.
How many pounds of secret ingredient A are in 4 2 pounds of the dish?

Question103: In the diagram above, ABCD is a square with an area of 100 cm 2 and lines BD and AC are the diagonals of ABCD.

If line EF is parallel to line BC and the length of line CF = 3√ 2 cm, which of the following is equal to the shaded area?

Question104: The expression

can be reduced to:

Question105: All of the following are less than 2/5 EXCEPT:

Question106: 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?

Question107: Which of the following statements is always true if p is a rational number?