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Module II: Math
Jane earns 15 dollars per hour for the first 8 hours worked. Her earnings rate increases to 20 dollars per hour after that. If Jane saves 80% of her earnings, what's the minimum extra hours she must work to have 360 dollars in total savings, rounded to the nearest hour?
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A group plans a picnic with a budget of 200 dollars. They can order sandwiches for 10 dollars each or pizzas for 20 dollars each which is the group discount price. They must order at least 12 items with at least one of each item to get a group discount. What's the maximum number of pizzas they can order within the budget and discount?
Answer:
A hiker walks at a speed of 5 kilometers per hour for 3 hours, then increases the speed to 6 kilometers per hour for 2 hours. What is the total distance traveled?
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A shop offers a tiered discount on its products: 10% for the first 100 dollars, 15% for the next 100 dollars, and 20% for any amount over 200 dollars. What's the final price after the discount for a purchase that costs 250 dollars?
Answer:
For the function h, h(0)=81, and for each increase in x by 1, the value of h(x) decreases by 60 percent. What is the value of h(3)?
5.184
10.144
13.185
14.124
The sum of two consecutive odd integers is 44. What is the smaller of the two integers?
21
15
13
7
Solve for x in the
equation 
x−4=10.
Answer:
Given the function y=x+2x and y=72, what is x?
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20
5
The graph of y=f(x) is shown. What is the sum of all of the x-intercept values?
Answer:
Solve the equation 3x−5=16 for x.
3
5
7
9
Find the area of a rectangle with a length of 12 units and a width of 8 units in square units.
36
48
96
112
Solve for x in the equation 2(3x−4)=30.
Calculate the circumference of a circle in centimeters with a radius of 5 centimeters. (Use π=3.14)
31.4
15.3
13.1
12.6
In the triangle shown, angle a is 10° and angle c is 20°. What is the measure of angle d in degrees?
30
40
50
60
A rectangular garden has a length of 12 meters and a width of 8 meters. What is its perimeter in meters?
Answer:
y=
+6. y=cx+8.
In the system, c is a constant. If there is no
solution, c = ?
For groups of 30 or more people, a museum charges 30 dollars per person for the first 12 people and 15 dollars for each additional person. Which function gives the total charge, in dollars, for a tour group with n people, where n is greater or equal to 30?
f(n)=30n
f(n)=15n
f(n)=360+15(n−12)
f(n)=330+30(n−12)
A right triangle has one leg measuring 8 meters and the hypotenuse measuring 10 meters. What is the length of the other leg in meter?
2.1
6.0
6.4
8.2
In a circle with radius 6 cm, a chord is 6 cm away from the center. What is the length of the chord in cm?
0
1
2
3
A cone has a radius of 3 meters and a height of 4 meters. What is the volume, in cubic meters, of this cone?
7π
9π
10π
12 π
A bookstore purchases books from a distributor at a cost of $4.50 per book. They then sell these books at a markup of 250% of the cost price. At the end of the year, unsold books are sold at a clearance price, which is 70% off the marked retail price. What is the clearance price for each unsold book, in dollars?
4.73
5.62
7.63
10.23
A farmer records the weights of two groups of cattle. Data set X consists of the weights of 40 cattle with a mean weight of 500 kilograms. Data set Y consists of the weights of 60 cattle with a mean weight of 650 kilograms. Data set Z combines the cattle from data sets X and Y, for a total of 100 cattle. What is the mean weight, in kilograms, of the cattle in data set Z?
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.