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Module II: Math
A rectangular garden measures 15 meters by 10 meters. What is the perimeter of the garden in meters?
Answer:
A bag contains 5 red balls and 7 blue balls. What is the probability of drawing a red ball?
A car travels 150 kilometers in 2 hours. What is the average speed of the car in kilometers per hour?
Answer:
The sum of two numbers is 28, and their difference is 4. What is the smaller of the two numbers?
Answer:
If 3x + 5 = 17, what is the value of x?
Answer:
A circle has a radius of 7 cm. What is the area of the circle in units of π cm2
Answer:
A cube has an edge length of 4 cm. What is the volume of the cube?
64 cm3
16 cm3
12 cm3
8 cm3
A shop sells apples at $2 per kilogram. How much will 5 kilograms of apples cost in dollars?
Answer:
In a class of 40 students, 18 students wear blue shirts, and the remaining students wear red shirts. What percentage of the class is wearing red shirts? (Express your answer as a percentage, where 100 represents 100 percent.)
Answer:
If the area of a square is 64 square meters, what is the length of one side of the square?
Answer:
A plumber charges a one-time fee plus an hourly rate. The graph represents the total charge, in dollars, for x hours of work. What is the best interpretation of the y intercept?
The plumber's hourly rate
The plumber's one-time fee
The maximum amount the plumber charges
The total amount the plumber charges
A company plans to sell a total of 500 products this month. They can sell products either individually or in a bundle of 5. Let x represent the number of individual sales and y represent the number of bundles sold. Which equation correctly represents this scenario?
x−5y=500
x+y=500
x+5y=500
5x−y=500
A scientist observes a bacterial culture that starts with a population of 200 bacteria. Every hour, the population increases by 30%. What will be the population after 6 hours?
803
965
1093
4848
Which of the provided equations shares the same solution as the equation 48x+84=432?
6x+10=54
8x+14=72
12x+20=108
5x+9=45
The value of x in the equation 4x+8=20 satisfies which of the following inequalities?
x<0
x=4
x>3
x≤3
Line m passes through the points (2,3) and (4,11). Which equation correctly represents line m?
y=4x−5
y=3x−3
y=5x−7
y=4x+1
For a circle with a circumference of 18π meters, what is the area of a quarter segment of the circle?
81π
9π
In the figure, line N is parallel to line M, and line L intersects both lines. What is the value of x?
x=35
x=40
x=45
x=135
The function h is defined by h(x)=200(0.5)x. What is the value of h(1)??
Answer:
Laura surveyed 50 individuals in a park to determine the average number of hours spent outdoors each week. The mean number of hours reported was 4. This conclusion about the mean number of hours spent outdoors each week by all park visitors is:
Accurate, as the sample size is large enough.
Likely inaccurate, due to a small sample size.
Likely biased, as those in the park may spend more time outdoors than the average person.
Reliable, as the survey was conducted in a public space.
Data set A consists of the ages of 50 people and has a mean age of 30 years. Data set B consists of the ages of 100 people and has a mean age of 40 years. Data set C combines the ages from data sets A and B. What is the mean age of data set C?
31.2
36.7
42.3
43.5
Solve ∣4x−2∣=34 and find the positive value of 3x+1.
Answer:
Check Your Work
On test day, you won't be able to move on to the next module until time expires.
For these practice tests, you can click Next when you're ready to move on.
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The questions in this section address a number of important reading and writing skills.
Each question includes one or more passages, which may include a table or graph. Read
each passage and question carefully, and then choose the best answer to the question
based on the passage(s).
All questions in this section are multiple-choice with four answer choices. Each
question has a single best answer.
The questions in this section address a number of important reading and writing skills.
Each question includes one or more passages, which may include a table or graph. Read
each passage and question carefully, and then choose the best answer to the question
based on the passage(s).
All questions in this section are multiple-choice with four answer choices. Each
question has a single best answer.
The questions in this section address a number of important math skills.
Use of a calculator is permitted for all questions. A reference sheet, calculator, and these directions can be accessed throughout the test.
Unless otherwise indicated:
- All variables and expressions represent real numbers.
- Figures provided are drawn to scale.
- All figures lie in a plane.
- The domain of a given function
fis the set of all real numbersxfor whichf(x)is a real number.
For multiple-choice questions, solve each problem and choose the correct answer from the choices provided. Each multiple-choice question has a single correct answer.
For student-produced response questions, solve each problem and enter your answer as described below:
- If you find more than one correct answer, enter only one answer.
- You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
- If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
- If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
- If your answer is a mixed number (such as
3
1
2
), enter it as an improper fraction (
7
2
) or its decimal equivalent (
3.5). - Don't enter symbols such as a percent sign, comma, or dollar sign.
The questions in this section address a number of important math skills.
Use of a calculator is permitted for all questions. A reference sheet, calculator, and these directions can be accessed throughout the test.
Unless otherwise indicated:
- All variables and expressions represent real numbers.
- Figures provided are drawn to scale.
- All figures lie in a plane.
- The domain of a given function
fis the set of all real numbersxfor whichf(x)is a real number.
For multiple-choice questions, solve each problem and choose the correct answer from the choices provided. Each multiple-choice question has a single correct answer.
For student-produced response questions, solve each problem and enter your answer as described below:
- If you find more than one correct answer, enter only one answer.
- You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
- If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
- If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
- If your answer is a mixed number (such as
3
1
2
), enter it as an improper fraction (
7
2
) or its decimal equivalent (
3.5). - Don't enter symbols such as a percent sign, comma, or dollar sign.