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College Mathematics CLEP
All 90 questions from the Modern States practice exams with provided explained solutions
90
Mathematics
Graduate
12/10/2024

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The faces of a fair cube are numbered 1 through 6; the probability of rolling any number from 1 through 6 is equally likely. If the cube is rolled twice, what is the probability that an even number will appear on the top face in the first roll or that the number 1 will appear on the top face in the second roll? 

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Which of the following number is largest?

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What is the future value of $10,000 invested for one year at an annual interest rate of 2 percent, compounded semiannually?

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If P dollars is invested in a savings account that pays 5 percent annual interest, compounded continuously, in how many years will the account value be equal to 2P dollars?

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Suppose a car cost $4000 in 1970. If the inflation rate is constant at 4%, what is the cost of the car in 2000?

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A company manufactures electronic components that each must weigh from 29.5 grams to 30.5 grams, inclusive. Which of the following inequalities describes all acceptable weights x, in grams, for each component?

30−x> 0.5

30−x≤ 0.5

30−x > 0.5

30−x ≤ 0.5

 

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From 1950 to 1990 the population of Country W increased by 40 percent. From 1990 to 2012 the population of Country W increased by 10 percent. What is the percent increase in the population of Country W from 1950 to 2012?

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The rates below show the currency exchange rates on a certain day last year. Based on the values given in the table, which of the following is closest to the value of one euro in Mexican pesos?

Exchange Rates

1 U.S. dollar = 0.72 euros

1 U.S. dollar = 13.21 Mexican pesos

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What is the circumference of a circle with area A = 11

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A scientist estimated the number of bacteria in a sample every hour and recorded the estimates in the table above. Then the scientist used the data to create the scatterplot above. Based on the information, which of the following functions best models the number of bacteria, f(t), at time t, in hours?

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Each number in data set A is increased by adding 3 to each data point to form data set B. Which of the following is the same for sets A and B?

  • Range
  • Median
  • Mode
  • Mean
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if school is not closed, then it does not snow
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The chart below shows the number of teachers in City A, City B, City C, and City D in 2005 and 2010. Which city had the greatest percent increase in the number of teachers from 2005 to 2010?

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On Friday afternoon, Gloria left work, which is 1 mile from home, and drove to the bank, which is 4 miles from home. She spent 20 minutes at the bank and then drove home. Which of the following graphs could represent Gloria's distance from home as a function of the time from when she left work on Friday afternoon?

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Triangle DEF (not shown) is similar to ∆ABC shown, with angle B congruent to angle E and angle C congruent to angle F. The length of side DE is 6 cm. If the area of ∆ABC is 5 square centimeters, what is the area of ∆DEF ?

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  The product of two rational numbers cannot be a integer
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The six students, P, Q, R, S, T, and U in a class took four exams, and the scores for the four exams were recorded in the following graphs. In which graph do the scores shown have the least standard deviation?

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Some students who were women took calculus

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The regular price of a pair of jeans was $50. The regular price was discounted by x percent during a sale, and the discounted price was $30. What was the value of x?

  • 20
  • 50
  • 40
  • 30
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The graph above shows the closing price of one share of stock of Company Y for each of the five business days last week. Which of the following is closest to the percent change in the closing price of one share of stock from Tuesday to Wednesday?

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A house was purchased for $140,000. Three years later, the value of the house was $155,000. If the value V of the house increased linearly from the date it was purchased, which of the following represents the value, in dollars, of the house  t  years after the date it was purchased?

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a.       7y=x-2, 7x=3-y

Put each equation on graphing calculator, find the perpendicular lines

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