Question 1

Evaluate the integral of (2x+3) dx from x=1 to x=5.

Accepted Answer

B. 36

Answer

A. 50

Answer

C. 18

Answer

D. 12

Question 2

In a class of 80 students, there are 8 boys to every 2 girls. If this information is represented on a pie chart, what angle corresponds to the girls?

Accepted Answer

D. 72 degrees

Answer

A. 288 degrees

Answer

B. 270 degrees

Answer

C. 90 degrees

Question 3

The bar chart is a series of bars or columns with each height proportional to the

Accepted Answer

D. frequency of the distribution

Answer

A. highest frequency of the distribution

Answer

B. lowest frequency of the distribution

Answer

C. modal frequency of the distribution

Question 4

Find the median of 2, 3, 4, 7, 6, 8, 9, 2, 1.

Accepted Answer

B. 4

Answer

A. 2

Answer

C. 6

Answer

D. 8

Question 5

Class Interval / Frequency table: 45-49(6), 50-54(9), 55-59(12), 60-64(10). Find the class mark and the lower class boundary of the modal class respectively.

Accepted Answer

B. 57.0 and 54.5

Answer

A. 54.5 and 59.5

Answer

C. 57.0 and 59.5

Answer

D. 62.0 and 64.5

Question 6

Given that the standard deviation of a set of data is 3.6, what is the variance of the data?

Accepted Answer

C. 12.96

Answer

A. 1.90

Answer

B. 7.26

Answer

D. 36.00

Question 7

The value of nCr is the same as the value of

Accepted Answer

B. (1/r!) x nPr

Answer

A. r! x nPr

Answer

C. (n-r)! x nPr

Answer

D. (1/n) x nPr

Question 8

How many arrangements are there of all the letters of the word LETTER?

Accepted Answer

C. 180

Answer

A. 24

Answer

B. 96

Answer

D. 720

Question 9

A fair die is thrown once. The probability of the result being a prime number is

Accepted Answer

B. 1/2

Answer

A. 1/3

Answer

C. 2/3

Answer

D. 5/6

Question 10

A bag contains 12 similar balls, 5 of which are yellow, 4 red and the rest black. If a ball is picked at random, what is the probability that it is not black?

Accepted Answer

D. 3/4

Answer

A. 1/2

Answer

B. 3/5

Answer

C. 2/3

Question 11

At a college, approximately 2 out of 5 seniors go on to attend graduate school. If there are 750 seniors at the college, how many would be expected to attend graduate school?

Accepted Answer

E

Question 12

The Mills Library has 1,007,199 books. The Springvale Library has 907,082 books. Which of the following is the best estimate of how many more books the Mills Library has than the Springvale Library?

Accepted Answer

A. 100,000 books

Answer

B. 80,000 books

Answer

C. 10,000 books

Answer

D. 8,000 books / E. 1,000 books

Question 13

Which of the following is the best estimate for 4,286 x 390?

Accepted Answer

B. 1,600,000

Answer

A. 12,000,000

Answer

C. 1,200,000

Answer

D. 16,000 / E. 12,000

Question 14

The lowest point on Earth is the bottom of the Mariana Trench at a depth of 35,840 feet below sea level. The highest point on Earth is the summit of Mt. Everest at a height of 29,028 feet above sea level. Which of the following is the best estimate of the distance between the lowest and highest points on Earth?

Accepted Answer

D. 65,000 feet / E. 66,000 feet

Answer

A. 6,000 feet

Answer

B. 7,000 feet

Answer

C. 64,000 feet

Question 15

Kim is in the tenth grade and takes a standardized science test (raw score 72, percentile 88, stanine 8, grade equivalent 12.1). Kim's test scores indicate that:

Accepted Answer

D. he scored as well or better than 88% of the test takers / E. he answered 72% of the questions correctly

Answer

A. he scored as well or better than 72 of the test takers

Answer

B. 28% of the test takers scored better than he did

Answer

C. he would perform adequately in a twelfth grade science class

Question 16

The expression -105 + (-14) + 34 simplifies to which of the following?

Accepted Answer

C. -85

Answer

A. -57

Answer

B. -75

Answer

D. 143 / E. 153

Question 17

As part of a unit on weather, students recorded the outdoor temperature at 8:30 A.M. for five mornings (7°C, 12°C, 4°C, -13°C, -15°C). What was the difference between the week's highest and lowest morning temperatures?

Accepted Answer

E

Question 18

A teacher has three packages of stickers containing 56, 48, and 58 stickers. If the teacher divides all the stickers equally among 27 students, how many stickers will each student receive?

Accepted Answer

B. 9 stickers

Answer

A. 6 stickers

Answer

C. 54 stickers

Answer

D. 81 stickers / E. 162 stickers

Question 19

What is the tens digit in the dividend of the problem below (divisor 25, quotient 5, remainder 23)?

Accepted Answer

C. 4

Answer

A. 2

Answer

B. 3

Answer

D. 5 / E. 7

Question 20

Last week Mario walked 7 3/4 miles. This week he walked 15 5/6 miles. What is the difference between the distance he walked this week and the distance he walked last week?

Accepted Answer

B. 8 1/12 miles

Answer

A. 8 miles

Answer

C. 8 1/2 miles

Answer

D. 9 miles / E. 9 1/12 miles

Question 21

A sporting goods store is offering a 10% discount on in-line skates that normally cost $110.99. How much will the in-line skates cost with the discount, not including tax?

Accepted Answer

A. $99.89

Answer

B. $99.99

Answer

C. $100.99

Answer

D. $109.88 / E. $122.09

Question 22

At the beginning of a class period, half of the students in a class go to the library. Later in the period, half of the remaining students go to the computer lab. If there are 8 students remaining in the class, how many students were originally in the class?

Accepted Answer

D. 32 students / E. 40 students

Answer

A. 12 students

Answer

B. 16 students

Answer

C. 24 students

Question 23

Peter works 38 hours per week and earns $7.25 per hour. His employer gives him a raise that increases his weekly gross pay to $307.80. What is the increase in Peter's weekly gross pay?

Accepted Answer

A. $32.30

Answer

B. $34.70

Answer

C. $42.46

Answer

D. $275.50 / E. $300.55

Question 24

Use the diagram below (rectangular package) to answer the question. Aguilar Manufacturing Company packages a product for shipping by wrapping tape around the package as shown in the diagram. An additional 10% length of tape per package is needed for overlap. What is the total length of tape needed per package?

Accepted Answer

E

Question 25

Use the diagram below (road sign) to answer the question. Arturo is driving at a speed of 50 miles per hour. At 2:00 he sees a sign showing Caanan is 62 miles away. Arturo continues at the same speed. At 2:30 how far from Caanan will he be?

Accepted Answer

E

Question 26

Keiko spent the day bird watching and counted 34 more birds in the morning than in the afternoon. If she counted a total of 76 birds, how many birds did she count in the afternoon?

Accepted Answer

A. 21 birds

Answer

B. 40 birds

Answer

C. 42 birds

Answer

D. 84 birds / E. 110 birds

Question 27

Solve for y: y - 2 + 3y = 10

Accepted Answer

B. 3

Answer

A. 2

Answer

C. 4

Answer

D. 5 / E. 6

Question 28

Read the information about a partially filled refrigerator (42 sandwiches: 13 turkey, 14 cheese, 15 egg salad; 21 sold). Which of the following facts can be determined from the information given?

Accepted Answer

E

Question 29

Wei-Jen and Sue plan to drive about 400 miles each day for 5 days at $2.00 per gallon average. Which single piece of information is necessary to solve the problem of budgeting for gasoline?

Accepted Answer

B. the number of miles the car travels per gallon of gasoline

Answer

A. the number of times they will have to stop for gasoline

Answer

C. the number of miles Wei-Jen will drive

Answer

D. the total distance of their trip / E. the number of miles the car travels per hour

Question 30

Maria left home at 9:00 A.M., ran 3 miles to the lake, ran around the lake twice, and ran home along the same route for a total distance of 10 miles. Which single piece of additional information is required to determine Maria's average jogging speed?

Accepted Answer

B. the time she returned home

Answer

A. the distance around the lake

Answer

C. the amount of time she stopped to rest

Answer

D. the average length of her jogging stride / E. the amount of time it took her to run from the lake to her home

Question 31

Antonio buys 4 notebooks for $3.50 each. The next day he returns to the store and exchanges 3 notebooks that have gone on sale for $1.75 each. Antonio uses the expression (4 x $3.50) - (3 x $1.75) to calculate the money he should receive back. Which of the following expressions could Antonio have also used?

Accepted Answer

B. 3($3.50 - $1.75) + $3.50

Answer

A. $3.50 - $1.75

Answer

C. (4 x $3.50) - $1.75

Answer

D. (4 x 3) - ($3.50 x $1.75) / E. 12 - ($3.50 + $1.75)

Question 32

Rudi needs to calculate 14% of 50 by computing 50 x 14/100. Which of the following methods could Rudi also use to correctly determine the percentage?

Accepted Answer

E

Question 33

The table shows Sabra's grades for a class (Quiz Average 83%, Test Average 79%, Final Exam 88%). For her overall average, the test average counts twice as much as the quiz average, and the final exam counts twice as much as the test average. Sabra uses (83+79+79+88+88+88+88)÷7. Which of the following is another way to find her overall average?

Accepted Answer

A. 83 + 2(79) + 4(88), all over 7

Answer

B. 83 + 0.2(79) + 0.4(88)

Answer

C. [83 + 2(79) + 4(88)] ÷ 0.7

Answer

D. [83 + 2(79) + 4(88)] ÷ 1/7 / E. [83 + 2(79) + 4(88)] x 1/7

Question 34

Use the chart below (X, Y values: 1→3, 1.5→4.5, 2→6, 2.5→?, 3→9, 3.5→10.5) to answer the question. Given this relationship, what would be the value of Y that is missing?

Accepted Answer

D. 7.5 / E. 8

Answer

A. 5

Answer

B. 6.5

Answer

C. 7

Question 35

A school district is proposing a 5% increase in the number of days in a school year. Currently there are 180 days in a school year. How long would a school year be with the proposed increase?

Accepted Answer

D. 189 days / E. 270 days

Answer

A. 181 days

Answer

B. 183 days

Answer

C. 185 days

Question 36

Which of the following mathematical statements is correct (comparing 3 2/3, 3 1/3, 2 2/3)?

Accepted Answer

D. 3 2/3 > 3 1/3 > 2 2/3 / E. 3 1/3 < 3 2/3 < 2 2/3

Answer

A. 3 2/3 < 3 1/3 < 2 2/3

Answer

B. 3 2/3 > 2 2/3 > 3 1/3

Answer

C. 3 1/3 > 2 2/3 > 3 2/3

Question 37

Use the mathematical statement 2/6 < [ ]/6 < 8 to answer the question. Which of the following values when entered in the box will satisfy the statement above?

Accepted Answer

D. 9/10

Answer

A. 1

Answer

B. 1

Answer

C. 3

Question 38

Which of the following mathematical expressions is equivalent to bh?

Accepted Answer

C. (b+h)/2

Answer

A. b x h / 2 ÷ 2

Answer

B. 2(b x h)

Answer

D. 1(b x h) / E. b x 2h

Question 39

Which of the following numbers is between 2,329,500 and 2,598,100?

Accepted Answer

E

Question 40

If the value of x is between 0.0051 and 0.038, which of the following could be x?

Accepted Answer

B. 0.0261

Answer

A. 0.0042

Answer

C. 0.049

Answer

D. 0.052 / E. 0.06

Question 41

Abby drives 18 miles round trip between home and work each day. If her daily round trip is rounded to the nearest 5 miles, which of the following is the best estimate of the total number of miles driven in 5 days?

Accepted Answer

B. 100 miles

Answer

A. 75 miles

Answer

C. 125 miles

Answer

D. 180 miles / E. 200 miles

Question 42

Kerri ran the same distance in four different races with times 18.04, 21.39, 12.99, and 14.14 seconds. If the individual times are rounded to the nearest one-tenth of a second, what is the estimate of Kerri's total time for all four races?

Accepted Answer

B. 66.5 seconds

Answer

A. 66.6 seconds

Answer

C. 66 seconds

Answer

D. 65.5 seconds / E. 61.56 seconds

Question 43

The grocery store is located three miles away from the house. The house is located four miles away from the highway. Based on this information, which of the following conclusions can be made?

Accepted Answer

C. the grocery store is no more than seven miles away from the highway

Answer

A. the grocery store is no more than three miles away from the highway

Answer

B. the grocery store is no more than one mile away from the highway

Answer

D. the grocery store is exactly three miles from the highway / E. the grocery store is exactly four miles from the highway

Question 44

Matt will drive, ride his bicycle, or walk depending on distance to a destination (rules given). If Matt rode his bicycle to Zachary's apartment, which of the following statements could be true?

Accepted Answer

C. Zachary's apartment is about 7 miles from Matt's home

Answer

A. Matt's home is less than 1 mile from Zachary's apartment

Answer

B. Matt and Zachary live within 2 miles of each other

Answer

D. Zachary's apartment is at least 10 miles from Matt's home / E. the round trip distance between Matt's and Zachary's is greater than 20 miles

Question 45

There will be softball practice every Saturday with exceptions (rain cancels; no practice on the third Saturday). If it is Saturday but there is no softball practice, then it must be true that:

Accepted Answer

D. it is raining or it is the third Saturday of the month / E. softball games are on the third Saturday of the month

Answer

A. it is raining

Answer

B. it is the third Saturday of the month

Answer

C. it is raining and it is the third Saturday of the month

Question 46

Use the table below (Middle School Bell Schedule) to answer the question. The partial school schedule shows the start times and end times of class periods. Except for lunch, all classes are the same length. What is the missing start time for fifth period?

Accepted Answer

B. 12:19 P.M.

Answer

A. 12:15 P.M.

Answer

C. 12:30 P.M.

Answer

D. 12:36 P.M. / E. 12:40 P.M.

Question 47

Use the chart below (U.S. and World Silver Production in Metric Tons) to answer the question. How many metric tons of silver were produced outside the United States in 1950?

Accepted Answer

A. 4976 metric tons

Answer

B. 5024 metric tons

Answer

C. 5620 metric tons

Answer

D. 5833 metric tons / E. 6323 metric tons

Question 48

Use the graph below (U.S. Energy Consumption: nuclear vs hydroelectric) to answer the question. According to the graph above, what was the maximum difference in energy consumption between the two sources of energy in any one of the years shown?

Accepted Answer

D. 3.2 quadrillion Btu / E. 5.9 quadrillion Btu

Answer

A. 0.4 quadrillion Btu

Answer

B. 2.0 quadrillion Btu

Answer

C. 2.4 quadrillion Btu

Question 49

Use the chart below (Percent of Total Corn Crop Yield in 1999: West 24%, East 21%, South 7%, North 31%, Central ?) to answer the question. What percent of the total crop yield did the Central Farm generate in 1999?

Accepted Answer

A. 17%

Answer

B. 24%

Answer

C. 38%

Answer

D. 41% / E. 48%

Question 50

Use the graph below (Sales of a commodity, thousands of dollars, 1940-1990) to answer the question. Between what years did sales increase by the greatest amount?

Accepted Answer

B. between 1950 and 1960

Answer

A. between 1940 and 1950

Answer

C. between 1960 and 1970

Answer

D. between 1970 and 1980 / E. between 1980 and 1990

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