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FTCE Math General Knowledge Test Questions And Answers
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1. Mrs. Green was told that she could reduce her heating expenses at least 20% by increasing the
insulation of her house. After doing so, she found her average monthly bill for oil decreased from $80 to $60. What fractional part of her former heating expenses did Mrs. Green save by adding insulation.: ¼
2. A woman buys eight items at the grocery store. The lightest item weighs 6 ounces and the
heaviest item weighs 14 ounces. The woman buys 4 items the weigh 10 ounces per item. Which of the following is the maximum weight of the items purchased (Answer) 88oz.
3. Simplify 6-
8/2x4: -
4. Simplify
(1+2) to the 2 power -2(3-4)to the 3 power: 11
5. In triangle ABC, AB=AC and angle A measures 40. What is the measure of angle B (Answer) 70
6. The driving distance between tallahassee and Tampa is 280 miles. If 1/2 inch on a map
represents 40 miles, what is the distance in inches between the cities (Answer) 3.5 in.
7. A milligram would be the most appropriate unit to use for measuring the mass of a: Feather with
a 1-inch length
8. A child is cutting steaks from a 12-pound section of beef. Allowing '/2 pound for waste, how
many 8-ounce steaks can be prepared from the section of beef (Answer) 23 steaks
9. If fencing is $4.00 per yard, how much will it cost a farmer to fence a rectangular field with
dimensions 300 feet by 600 feet (Answer) $
10. Find an algebraic expression equivalent to 2x/3 + 3y14: 8x/12 + 9y
11. The function h = 2d + 4 represents the height (h) in inches of a plant after a certain number of
days' (d) growth. Which of the following represents the height of the plant for the first two days (Answer) d=0 1 2 h=4 6 8
12. Which algebraic expression can be used,to determine the sale price? (chart) regular
price/sale price: S=3/4 r
13. Which of the following is the solution of 3(4-2x)-(2x-2)=38: -
14. Which of the following values is the solution to the given equation? 2(h
— 6) = -(16 + 3h): -4/
21. The following graph shows a company's sales since it engaged in a new growth strategy. What
aspect of the graph is most misleading (Answer) The vertical axis is not scaled linearly
22. At a gymanstic meet, 3 of the 5 judges gave a gymnast a 9.5 score on the parallel bars. The
other 2 judges gave scores less than 9.5 Which of the following statements is true about the distribution of scores (Answer) The mean is less than the mode
23. What is the median of the data i the following sample? 2, 1, 4, 3, 7, 5, 3,
24. A major league baseball team has 25 active players on its roster. Which of the following about
salaries would one be expected to know in order to determine the annual payroll for players (Answer) Mean
25. A student's parents promise to pay for next semester's tuition if an A average is earned in
chemistry. With examination grades of 95%, 94%,
93%, 87%, 87%, and 61%, the student reports that an A average has been earned. Which measure of central tendency is the student reporting as the average (Answer) Median
26. If a student finishes all of her classwork, she gets to choose a prize from the treasure box.
There are three bags of mints and four bags of chocolates in the treasure box. The student is not allowed to look inside the box before she picks her prize. What is the probability of her pulling a bag of mints from the treasure box (Answer) 3/
27. Tyrone needs to take Composition I and Physics II this semester. There are three sections of
Composition I and two sections of Physics II being offered at times that do not create a conflict for scheduling both classes. How many different ways can Tyrone schedule these two classes (Answer) 6
28. The following data show that salaries of recent graduates from a partic- ular department in a
college. Which statistics best gives the most accurate salary of a typical graduate from the department? Student/Salary (Graph): - Median
29. To estimate the population of grasshoppers in a field, a biologist counts 60 grasshoppers in a
randomly selected 4-square-foot sections of the field. Which of the following is the best estimate for the total number of grasshop- pers in the field if it measures 200 square feet (Answer) 3000
30. Order the following numbers from least to greatest:: 1/3, 0.8, 3/10, 75% 31. 1/11 0.09: =
32. A carpenter can make 3 cabinets in 2 days. An apprentice works half as fast. In how many
days can the apprentice make 9 cabinets (Answer) 12
33. A family's dinner bill at a restaurant amounted to $40.00 before a 5% tax was added to the bill.
After the sales. tax was added, the family left a 15% lip on the bill. AfterWards, they decided that the tip should have been 15% of just the dinner bill and not the total bill inchiaing tax. How much money would have been saved if they had left a tip only on the dinner bill (Answer) $0.
- Simplify: (-2)-(-3) + (-1) x 4: -
- Simplify: -(9-3)^2 —2^3/2: -
36. Select the geometric figure named below that possesses all of the fol- lowing characteristics:
37. An isosceles triangle could have which of the following interior angle measurements
(Answer) 30°, 30°, 120°
38. On the blue print of a house, the screened porch is 1.25 inches long and
0.75 inches wide. If the scale on the blueprint indicates that V2 inches equals 10 feet, what is the length, in feet, of the screened porch (Answer) 25 feet
39. Which of the following is the most appropriate unit to use for expressing the volume of a
classroom (Answer) Cubic meters
40. The distance of one lap around the school track is 400 meters. If a student runs 8 laps, how
many kilometers has the student run (Answer) 3.2 Kilometers
41. Given 6x^2 + kx — 5 = (2x — 1)(3x + 5), what is the value of k (Answer) 7 42. 1f 12a—
3(a+ 1)= a + 1, then: a = 1/
43. A company has the following information. The cost in dollars to make n bikes is given by C =
0.1(n — 50) + 45The revenue in dollars from selling n bikes is given by R = 0.3(n — 60) + 18. How many bikes must the company sell so that the cost equals the revenue (Answer) 200
44. The equation 5x + 10y = 450 models the relationship between the number of children, x, and the
number of adults, y, attending a movie. What is the y-intercept of the line produced when the equation is graphed on an x-y-coordinate system (Answer) 45
45. Which of the following graphs represents a function (Answer) The answer is graph "a"
46. vi7. Which of the following relations is a function? (4 pairs of boxes): The answer is graph "c"
47. The circle graph below indicates a yearly budget for a school district. The numerals in each
category represent millions of dollars. Use the graph to answer the question that follows. salaries: 40; expenses:16; maintenance: 4; security: 2; transportation:8 new construction: 10 What is the category spent 20% of the school budget (Answer) Expenses
48. A car salesperson uses the following graph to claim a steady increase in the total number of
cars sold. What aspect of the graph could be considered misleading? [vertical: total # of car sold: 2, 6, 10,11, 12,} horizontal-total months at job 1, 2, 3, 4, 5] (Graph): The increments on the vertical axis a not equal
56. Identify the symbol that should be placed in the box to form a true statement
4 3/16 < a < 43/8: 4.
57. One store regularly sells a particular TV for $375 but is offering it at 20% off the regular price
this week. A second store sells the same TV for $400 but
is having a 30% off sale this week. What is the difference in the sale prices before_a 6% sale tax is added (Answer) $20.
58. Over the past 20 seasons, a college basketball team won, 22 games dur- ing its best season
and 14 games during its worst season. If the team had 12 seasons in which they won 18 games, which of the following represents the minimum possible number of games they won during the 20 seasons (Answer) 360 games
59. Simplify
-[3+4(-2)+1]: 4
60. Pat wanted to make a scale drawing with 1 mc= 4 fl. How many centime- ters should he.
use to represent the dimension X in the drawing? (drawing): 4 5/8 cm
61. A booster club hoped to sell 10 gallons of fruit pm& as a fund-raiser at a football game. With 1
hour remaining, it had sold 128 cups of fruit punch, each cup containing 8oz. How many gallons does the booster club need to sell in the last hour in order to meet its goal (Answer) 2 gallons
62. department wants to double each of the dimensions of a sandbox at a. public park. The
original sandbox is 9 feet by 12 feet What would the new dimensions of the sandbox in yard (Answer) 6 yd by 8yd
63. Lee drive from Dennison to Westport in 3 hour without stopping his driving speed from 40 miles
per hour to 60 miles per hour. Lee then drove from dennison to westport in 1 hour without stopping. his speed on this part of the trip varied from 20 mile per hour to 40 miles per hour. What is a reasonable estimate of the total number of miles that Lee drove from Swanson to Westport (Answer) 180 miles
64. Find an algebraic expression equivalent to 15a8/-5a2: -3a^
65. Which of the following is the solution for the inequality below?
-6<2x<10: -3<x<
66. Which of the following is the solution to the given equation? 6W = 4[W + (- 2
+W)]: W=
68. Near the surface of Earth, the temperature decreases linearly with alti- tude. The following
table lists data points for a particular day. Graph What is the slope of the line connecting the two data points if the temperature is on the vertical axis and the height above the ground is on the horizontal axis (Answer) -
69. The mass, in grams, of a small jar of marbles can. be modeled by the following equation, -
where Mrepresents the total mass and N represents the number of warbles. Which of the following is the most accurate interpretation of this equation (Answer) M= 18N+ 190 There are initially 18 marbles in the jar
70. The following bar chart depicts the number of auto accidents to age of thedriver [vertica' axis:
number of auto accidents in thousands 0, 10, 2 0, 50, 601 [horizontal axis: 20yr and less, 21-27 Note: 3449 º • $ R .11.. to 30° fl On the vertical-barl. What % °fall accidentsirrliolveedrivers between ages, o: 30%
71. Which-of the following research questions would require a control group in addition to the
target sample being polled (Answer) Are people with children more likely to shop online?
72. Which of the following symbols should be placed in the box to form a true statement (Answer) -
73. Which of the following symbols should be placed in the box to form a true statement (Answer)
74. Two sports teams are tied, each having won five games and lost three. If one of the teams wins
next tow games and the order loses the next games, by how much will the teams winning percentages differ (Answer) 20%
75. Simplify
2·[3+(-2)^2+(4^2÷-2)^2]: 142
76. A square pyramid has how many faces (Answer) 5
77. On a map the distance between two particular cities is 7 1/2 inches. If 5/8 inch represents 10
miles, what is the distance between the two cities, to the nearest mile (Answer) 120 miles
78. Five tables are placed end to end to from one long rectangle serving table. Two of the tables are
5 feet 4 inches long and the other three tables are 2 feet 4 inches long each. what is the total length of the serving table (Answer) 17ft 8 in.
89. The following graph depicts the number of students who select certain career performance.
What percentage of the students chose engineering as a career? Computer science 72, Medicine 36, Engineering 48, law 44, and other 40.: 20%
90. The following graph shows cost associated with purchasing three differ- ent cost of
televisions. What aspects of the graph is most misleading (Answer) The height of the bars are not scaled correctly
91. What is the median of the set of data in the following sample? 8, 19, 14, 12, 16, 19,
92. If a student finishes all of her classwork, she gets to chose a prize from the treasure box. There
are three bags of mint and four bags of chocolate in each treasure box. The student
- is not allowed to look inside the box before she picks her prize. What is the probability of her pulling a bag of mint from the treasure box (Answer) 3/
93. There are 24 marbles in a bag. Nine are yellow and the rest are blue. If one marble is randomly
selected, what is the probability that it will be blue (Answer) 5/
94. local newspaper conducted an online survey o visitors
which of the two candidates would win an upcoming election. The following survey t instruction was used Please take a survey I. No thanks, I am not a registered voter Select one answer Who are you planning to vote for in the-upcoming election?
2. Candidate Ortize
3. Candidate Wilkins: Which of the following best describes the most significant problem with this type of
survey? Respondents may not represent the actual voting public
95. Which of the following symbols should be placed between the two num- bers (Answer) 1 1/10 >
96. Which of the following symbols should be placed between the two num- bers (Answer) -5/6 < -
the study (Answer) #3 Tick bites take longer to stop itching #4 Ammonia is the better choice for bite treatment if only one product is
100. An advertisement agency has been hired to test four brands of tooth- paste, The different
brands have been labeled A, B, C, D. How many different pairings must be made to ensure that each brand is compared with every other brand (Answer) 6
101. A bag contains four marbles. One marble is blue, one is red, one is white, and ane is yellow.
Two marbles are drawn from the bag by removing one marble and then without replacing the first marble, removing a second marble. In how many ways can the two marbles be drawn from the bag so that at least one of the marbles is red (Answer) 3 ways
102. A student recorded the number of chin-ups she did at the gym during the past few weeks.
The following list shows her chin-up totals. 13,6,23,7,8,23,9,16,12, Which measure of central tendency would allow the student to brag to her friends about the highest typical number of chin-ups she is able to do (Answer) Mode
103. Which of the following is between 0 and 2 (Answer) 4.37 x 10-
104. In a year, a family member earned $24,000.00 and another earned
$24,000.00, The total annual income for the family was $56,000.00. The extra earning came from investment.What fraction came from: 1/
105. An automobile travels 200 miles at an average speed of 55 miles per hour and has a gas
mileage of 22 miles per gallon of gasoline. If the auto- mobile continues to travel the same speed and continues getting the same mileage, how many gallons of gasoline will the automobile use in 5 hours of travel (Answer) 12.5 gallons
106. A baseboard molding in a room is being replaced; the room has a rectangular floor with
dimensions of 12 feet by 15 feet, The room also has a door that is 3 feet wide. No molding will be placed for the doorway, Allowing 5 extra feet of molding for waste, how many feet of molding will be needed for the room (Answer) 56 ft
107. A recipe for pancake requires 2 h cups of flour and 3 cups of sugar. How many cups of flour is
needed to make 1 % times as much pancake (Answer) 3 3/
108. A married couple who shared a family plan for telephone have their base telephone rate as
$82.000 per month. Each member paid 1/2f the bill plus his or her data usage. The total bill for a month was $125.00. What was the' payment per person, ifof data usage was his (Answer) $66.
