1.
Use the graph below to answer the following question What is the total amount Karen has budgeted for savings?a. $14 b. $140 c. $274 d. $300 e. $322
Correct Answer
E. .
2.
Carol has an initial balance of $4,300 in her checking account. She makes a deposit of $350, then writes two checks, one for $67, the other for $247. Carol then makes a deposit of $150. What is her new balance?a. $4650 b. $4486 c. $4336 d. $4351 e. $4450
Correct Answer
B. .
3.
What is the value of x if x = -8 + 10 - 14 ?a. -12 b. 12 c. -32 d. 32 e. 14
Correct Answer
A. .
Explanation
The value of x can be found by simplifying the expression -8 + 10 - 14. First, we add -8 and 10 to get 2. Then, we subtract 14 from 2 to get -12. Therefore, the value of x is -12.
4.
A rectangle is 7 inches wide and 10 inches long. If the width is doubled, what is the perimeter of the resulting rectangle?a. 17 inches b. 34 inches c. 48 inches d. 68 inches e. 51 inches
Correct Answer
C. .
Explanation
If the width of the rectangle is doubled, it becomes 14 inches wide. The length remains the same at 10 inches. The formula for the perimeter of a rectangle is 2(length + width). Plugging in the values, we get 2(10 + 14) = 2(24) = 48 inches. Therefore, the perimeter of the resulting rectangle is 48 inches.
5.
What is the value of 18 + (-14) ?
Correct Answer
A. 4
Explanation
The given question asks for the value of 18 + (-14). When adding a positive number and a negative number, we subtract the absolute value of the smaller number from the absolute value of the larger number, and then assign the sign of the larger number to the result. In this case, the absolute value of 18 is larger than the absolute value of 14, so we subtract 14 from 18, resulting in 4. Therefore, the correct answer is 4.
6.
Which of the following is the closest approximation to 7/9 ?a. 7.80 b. 1.29 c. 0.78 d. 0.63 e. 0.83
Correct Answer
C. .
Explanation
The closest approximation to 7/9 is 0.78.
7.
Which of the following is a true statement?a. 14 > 15 b. -3 < -4 c. 63 > ( 9 x 8) d. 15 < (3 x 5) e. -15 > -16
Correct Answer
E. .
8.
Which of the following is equivalent to 0.25 ? a. 4/10 b. 25/50 c. 8/32 d. 4/8 e. 4/25
Correct Answer
C. .
9.
A piece of wood is 4.5 yards long. What is the length expressed in inches?a. 162 b. 450 c. 54 d. 13.5 e. 150
Correct Answer
A. .
10.
Which of the following is equivalent to 1/2 ?a. 13/27 b. 14/29 c. 26/52 d. 32/66 e. 50/110
Correct Answer
C. .
11.
In Mr. Hall's class, any grade below 60% is failing. If 27 out of 36 students have average scores greater than or equal to 60%, what is the percentage of the class that is failing?a. 27% b. 36% c. 60% d. 9% e. 25%
Correct Answer
E. .
12.
If x = 3, which of the following is a true statement?a. x + 4 > x + 5 b. - x = - x + 3 c. 2x > 3x d. x + 5 > - 6 + x e. x - 3 = x + 3
Correct Answer
D. .
13.
A proposed road is to be 3.4 miles long. How many feet long would the road be? (1 mile = 5280 feet)a. 17952 feet b. 15840 feet c. 10560 feet d. 21120 feet e. 5280 feet
Correct Answer
A. .
Explanation
The correct answer is d. 21120 feet. To convert miles to feet, we multiply the number of miles by the conversion factor of 5280 feet per mile. In this case, 3.4 miles multiplied by 5280 feet per mile equals 21120 feet.
14.
What is the value of 9 - (-8) + 5 ?a. 12 b. 22 c. 6 d. -12 e. -22
Correct Answer
B. .
Explanation
The value of 9 - (-8) + 5 is 22. This is because when subtracting a negative number, it is the same as adding the positive value. So, -(-8) becomes +8. Therefore, 9 + 8 + 5 equals 22.
15.
Use the following table to answer questionThe following table represents information based on reported scores from a standardized mathematics test. *Please note: The information is fictional and represents no real school, real data, or any real graph. What would be the appropriate range to put in the empty box in the percentile column?a. 40 - 49 b. 41 - 49 c. 39 - 49 d. 41 - 51 e. 40 - 50
Correct Answer
A. .
16.
Use the information below to answer the question that follows.4 quarts = 1 gallon 1 gallon = 3.8 litersApproximately how many liters of water would fit in a container that held 2 quarts ?a. 0.5 liters b. 1 liter c. 1.9 liters d. 7.2 liters e. 2.7 liters
Correct Answer
C. .
Explanation
Since 4 quarts is equal to 1 gallon, and 1 gallon is equal to 3.8 liters, we can find the equivalent amount of liters for 2 quarts by dividing 2 by 4 (since 2 quarts is half of 4 quarts) and then multiplying the result by 3.8. Therefore, 2 quarts is equal to 0.95 liters, which is approximately equal to 1 liter. Therefore, the correct answer is b. 1 liter.
17.
Use the following graph to answer question 24. Between which months in 2000 was there virtually no difference in sales ?a. February and March b. March and April c. May and June d. November and December e. June and July
Correct Answer
C. .
Explanation
In the given graph, the sales for each month in 2000 are shown. To determine the months with virtually no difference in sales, we need to identify the months where the sales values are very close to each other. By observing the graph, it can be seen that the sales values for May and June are almost the same. Therefore, the correct answer is c. May and June.
18.
Which of the following values for x satisfies the statement: 10 < x + 5 ? a. 1 b. 2 c. 3 d. 4 e. 5
Correct Answer
E. .
19.
The temperature at 3 pm was 25 degrees F (above zero). By 5 pm, the temperature had dropped 17 degrees. At 10 pm, the temperature was recorded as being 20 degrees below zero (-20 degrees F). How far had the temperature dropped between 5 pm and 10 pm?a. 17 degrees b. 25 degrees c. degrees d. 28 degrees c. 42 degrees
Correct Answer
D. .
Explanation
Between 5 pm and 10 pm, the temperature had dropped 20 degrees below zero (-20 degrees F).
20.
3 out of every 11 students at an elementary school would like to take band. If there are 704 total students, how many want to take band?a. 192 b. 64 c. 33 d. 640 e. 512
Correct Answer
A. .
Explanation
The correct answer is 192. To find the number of students who want to take band, we can set up a proportion. We know that 3 out of every 11 students want to take band, so we can set up the proportion 3/11 = x/704, where x represents the number of students who want to take band. Cross-multiplying, we get 11x = 3 * 704, which simplifies to 11x = 2112. Dividing both sides by 11, we find that x = 192. Therefore, 192 students want to take band.
21.
A school will put no more than 32 students in a classroom. If there are 549 total students, what is the least number of classrooms needed ?a. 17 b. 18 c. 19 d. 20 e. 21
Correct Answer
B. .
Explanation
To find the least number of classrooms needed, divide the total number of students (549) by the maximum number of students per classroom (32). This gives us 17.15625, which means we need at least 18 classrooms to accommodate all the students. Therefore, the correct answer is b. 18.
22.
A hot air balloon is at an altitude of 237 feet. It descends 56 feet, climbs 75, then descends for 43 feet before leveling off. At what altitude is the balloon now at ?a. 237 feet b. 174 feet c. 16 feet d. 371 feet e. 213 feet
Correct Answer
E. .
Explanation
The balloon starts at an altitude of 237 feet. It then descends 56 feet, bringing its altitude to 237 - 56 = 181 feet. It then climbs 75 feet, bringing its altitude to 181 + 75 = 256 feet. After that, it descends 43 feet, bringing its altitude to 256 - 43 = 213 feet. Therefore, the balloon is now at an altitude of 213 feet.
23.
Use the following information to answer questionWhen open for business in the morning, a women's shoe store had:123 pairs of athletic shoes 45 pairs of boots 67 pairs of sandals 76 pairs of dress shoesAt the end of the business day, the store had reported selling 87 pairs total of footwear. They also now had on hand 60 pairs of sandals. Which of the following would you be able to calculate ?a. The number of boots sold. b. The number of sandals sold. c. The number of athletic shoes left. d. The number of customers that bought shoes. e. The number shoes returned.
Correct Answer
D. .
Explanation
The number of sandals sold can be calculated. Since the store had 67 pairs of sandals at the beginning of the day and now has 60 pairs on hand, it means that 7 pairs of sandals were sold.
24.
Carl and Joe are driving in separate cars to a city 320 miles away. Both of them are leaving from the same place. Joe leaves at 9 am and does an average of 60 mph. Carl leaves at 9:30 am and catches up to Joe at 12 noon. How fast is Carl's average speed?a. 60 mph b. 72 mph c. 65 mph d. 62 mph e. 80 mph
Correct Answer
B. .
Explanation
Since Joe leaves at 9 am and travels at an average speed of 60 mph, by 12 noon he would have traveled for 3 hours and covered a distance of 180 miles (60 mph x 3 hours). Carl catches up to Joe at 12 noon, which means Carl also traveled for 3 hours. Since Carl catches up to Joe, it means that Carl also covered a distance of 180 miles in 3 hours. Therefore, Carl's average speed is 180 miles divided by 3 hours, which equals 60 mph.
25.
Jennifer works in a grocery store part-time at $8.25 per hour. She works at least 25 hours per week. Her employer does not allow her to work more than 30 hours in one week. Her work week is Sunday to Thursday. If you know she had worked a total of 17 hours as of the end of Tuesday, which of the following do you know to be true?a. She will work at least 8 more hours for the week. b. She will not work 13 hours more for the week. c. She will work 8 hours on Wednesday. d. She will not work on Thursday. e. She did not work on Sunday.
Correct Answer
A. .
Explanation
Based on the given information, we know that Jennifer works at least 25 hours per week and she had worked a total of 17 hours as of the end of Tuesday. Since she cannot work more than 30 hours in one week, it is safe to say that she will work at least 8 more hours for the week (option a) in order to reach the minimum required hours. However, we cannot determine if she will work exactly 8 hours on Wednesday (option c) or if she will not work on Thursday (option d). There is also no information given about whether she worked on Sunday (option e), so we cannot make any conclusions about that.
26.
Convert Fahrenheit to Celsius: If F = 77, what is C ? Use the formula: C = 5/9(F - 32)a. 25 b. 35 c. 45 d. 55 e. 65
Correct Answer
A. .
Explanation
To convert Fahrenheit to Celsius, we use the formula C = 5/9(F - 32). Plugging in F = 77 into the formula, we get C = 5/9(77 - 32) = 5/9(45) = 25. Therefore, the correct answer is 25 (option a).
27.
The following report on a student was sent home regarding standardized testing. *Note: It is totally fictitious!Name: John Doe Current Grade Level: 4th Grade Equivalent: 5.7 National Norm: 3.7 Raw Score: 26 National Norm: 17 Percentile: 80th What was the number of correct answers this student had on this test ?a. 80 b. 17 c. 5.7 d. 3.7 e. 26
Correct Answer
E. .
28.
A 6th grade teacher is ordering pencils, crayons, and markers for her classroom. The prices are as follows:Pencils: $0.27 per dozen Crayons: $0.48 per box of eight. Markers, set of 6 different colors: $0.96She orders 72 pencils, 20 boxes of crayons, and 10 sets of markers. How much (before tax) is the total cost ?a. $20.82 b. $38.44 c. $1.71 d. $16.20 e. $21.72
Correct Answer
A. .
29.
Use the following information to answer the questionWhen open for business in the morning, a women's shoe store had:123 pairs of athletic shoes 45 pairs of boots 67 pairs of sandals 76 pairs of dress shoesAt the end of the business day, the store had reported selling 87 pairs total of footwear. They also now had on hand 60 pairs of sandals. Which of the following would you be able to calculate ?a. The number of boots sold. b. The number of sandals sold. c. The number of athletic shoes left. d. The number of customers that bought shoes. e. The number shoes returned.
Correct Answer
B. .
Explanation
The number of sandals sold can be calculated by subtracting the number of sandals on hand at the end of the day (60 pairs) from the initial number of sandals (67 pairs).
30.
What is the average number of correct answers given by all students tested ?a. 57 b. 26 c. 17 d. 84 e. 39
Correct Answer
C. .
31.
Convert Celsius to Fahrenheit: If C = 15, what is F ? Use the formula: F = (9/5)C + 32a. 19 b. 29 c. 39 d. 49 e. 59
Correct Answer
E. .
32.
The price of a newspaper subscription was $40. The new price is $43. What percent was the price increased?a. 3% b. 6% c. 7.5% d. 8% e. 9.5%
Correct Answer
C. .
Explanation
The price of the newspaper subscription increased from $40 to $43, which is a difference of $3. To find the percentage increase, we divide the difference by the original price and multiply by 100. So, the percentage increase is (3/40) * 100 = 7.5%. Therefore, the correct answer is c. 7.5%.
33.
Solve for x in the following equation. (1/3)X + 8 = 17a. 11 b. 17 c. 9 d. 27 e. 25
Correct Answer
D. .
Explanation
To solve for x in the equation (1/3)x + 8 = 17, we need to isolate x. First, we can subtract 8 from both sides of the equation, which gives us (1/3)x = 9. Then, to get rid of the fraction, we can multiply both sides of the equation by 3, resulting in x = 27. Therefore, the correct answer is d. 27.
34.
What is the perimeter of the figure below? a. 36 b. 52 c. 48 d. 28 e. 32
Correct Answer
B. .
35.
5 green marbles, 13 red marbles, and 12 purple marbles are in a box. What is the probability of taking out a green marble?a. 13/30 b. 2/5 c. 1/6 d. 5/6 e. 1/5
Correct Answer
C. .
Explanation
The probability of taking out a green marble can be calculated by dividing the number of green marbles by the total number of marbles. In this case, there are 5 green marbles and a total of 5 + 13 + 12 = 30 marbles. Therefore, the probability is 5/30 which simplifies to 1/6.
36.
Which of the following would come between 1/3 and 0.6 ?a. 1/5 b. 4/10 c. 0.05 d. 1/4 e. 0.7
Correct Answer
B. .
37.
Which of the following has a larger value ?a. 5/9 b. 6/11 c. 7/10 d. 9/15 e. 6/13
Correct Answer
D. .
Explanation
The correct answer is b. 6/11. To compare fractions, we can cross-multiply and compare the products. When we cross-multiply 5/9 and 6/11, we get 5*11 = 55 and 9*6 = 54. Since 55 is greater than 54, 5/9 is smaller than 6/11. Similarly, when we cross-multiply the other fractions, we find that 6/11 has the largest value compared to the other fractions.
38.
John works in a camera store. He must work at least 25 hours a week, but no more than 38. If he has worked 9 hours so far in the current week, which of the following is true ?a. He must work 29 more hours. b. He can work 16 hours more. c. He cannot work more than 20 hours more. d. He cannot work 20 hours more. e. He must work at least 9 more hours.
Correct Answer
B. .
Explanation
John must work at least 25 hours a week and he has already worked 9 hours. Therefore, he must work at least 16 more hours to meet the minimum requirement.
39.
If 45 is 120% of a number, what is 80% of the same number?A. 30 B. 32 C. 36 D. 38 E. 41
Correct Answer
A. .
Explanation
If 45 is 120% of a number, it means that the number is 45 divided by 1.2. To find 80% of the same number, we multiply the number by 0.8. Therefore, 80% of the number is (45/1.2) * 0.8, which is equal to 30. So, the correct answer is A.
40.
Jim works for $15.50 per hour for a health care facility. He is supposed to get a 75 cent per hour raise at one year of service. What will his percent increase in hourly pay be?A. 2.7% B. 3.3% C. 133% D. 4.8% E. 105%
Correct Answer
D. .
41.
Once inch equals 2.54 cm, How many centimeters tall is a 76- inch man?A. 20 cm B. 29.92 cm C. 193.04 cm D. 300.04 cm E. 593.04 cm
Correct Answer
C. .
Explanation
A 76-inch man is equal to 76 * 2.54 = 193.04 cm.
42.
You need exactly a 1680 ft3 aquarium for your fish. At the pet store you see four choices of aquariums, but the volume is not listed. The length, width, and height are listed on the box. Which of the following aquariums would fit your needs?A. 12 ft x 12 ft x 12 ft B. 13 ft x 15 ft x 16 ft C. 14 ft x 20 ft x 6 ft D. 15 ft x 16 ft x 12 ft E. 15 ft x 12 ft x 12 ft
Correct Answer
C. .
43.
One slice of bread is 80 calorie. Approximately how many calories are in 2 ½ slices of bread?A. 140 calories B. 200 calories C. 220 calories D. 240 calories E. 260 calories
Correct Answer
B. .
44.
How long will Lucy have to wait before for her $2,500 invested at 6% earns $600 in simple interest?A. 2 years B. 3 years C. 5 years D. 4 years E. 6 years
Correct Answer
D. .
Explanation
Lucy's investment is earning interest at a rate of 6% per year. To calculate how long it will take for her investment to earn $600 in interest, we can use the formula: Interest = Principal * Rate * Time. Plugging in the values, we have $600 = $2,500 * 0.06 * Time. Solving for Time, we get Time = $600 / ($2,500 * 0.06) = 4 years. Therefore, Lucy will have to wait for 4 years before her $2,500 investment earns $600 in simple interest.
45.
Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?A. 4 B. 13C. 12 D. 8E. 16
Correct Answer
B. .
46.
Two angles of a triangle each measure 70°. What is the measure of the third angle in degrees?A. 40° B. 80° C. 100° D. 120° E. 140°
Correct Answer
A. .
Explanation
The sum of the angles in a triangle is always 180°. Since two angles of the triangle measure 70° each, the third angle can be found by subtracting the sum of the two known angles from 180°. Therefore, the measure of the third angle is 180° - 70° - 70° = 40°.
47.
In triangle ABC, AB=BC and (C's measure is 65°.) What is the measure of angle B?A. 40° B. 50° C. 60° D. 65° E. 75°
Correct Answer
B. .
Explanation
Since AB=BC, we know that angle A and angle C are congruent. Since angle C measures 65°, angle A must also measure 65°. In a triangle, the sum of the angles is always 180°. Therefore, angle B can be found by subtracting the measures of angles A and C from 180°. Since angle A and angle C both measure 65°, subtracting 65° from 180° gives us an angle of 50° for angle B. Therefore, the correct answer is B.
48.
If the average of three numbers is V. If one of the numbers is Z and another is Y, what is the remaining number?A. ZY - V B. Z/V – 3 - Y C. Z/3 – V - Y D. 3V- Z - Y E. V- Z – Y
Correct Answer
D. .
49.
During a 5-day festival, the number of visitors tripled each day. If the festival opened on a Thursday with 345 visitors, what was the attendance on that Sunday?
Correct Answer
9315
9,315
Explanation
The number of visitors tripled each day, starting from Thursday. Therefore, on Friday, there would be 345 x 3 = 1035 visitors. On Saturday, there would be 1035 x 3 = 3105 visitors. Finally, on Sunday, there would be 3105 x 3 = 9315 visitors.
50.
Divide x5 by x2answer=?use ^ to express the exponent in your answer, i.e. x^y
Correct Answer
x3
x^3
X3
Explanation
The correct answer is x^3. When dividing x^5 by x^2, we subtract the exponents, which gives us x^(5-2) = x^3. Therefore, x^3 is the correct answer. X3 and x3 are not correct because they do not properly represent the exponentiation.