1.
How should you write .07 as a percent?
Correct Answer
C. 7.0%
Explanation
To write .07 as a percent, you need to move the decimal point two places to the right and add a percent sign. This means that .07 is equal to 7.0%.
2.
Which fraction is greater than 1/6 but less than 1/3?
Correct Answer
C. 1/4
Explanation
The fraction 1/4 is greater than 1/6 because the denominator is smaller, indicating larger parts. It is also less than 1/3 because the denominator is larger, indicating smaller parts. Therefore, 1/4 satisfies the condition of being greater than 1/6 but less than 1/3.
3.
Gretchen was up to bat 56 times during her softball season. She reached first base 33 times. About which percentage of the time did she reach first base?
Correct Answer
C. 59%
Explanation
Gretchen reached first base 33 times out of 56 at-bats during her softball season. To find the percentage, we divide the number of times she reached first base (33) by the total number of at-bats (56) and multiply by 100. This gives us a percentage of approximately 59%.
4.
Advanced University accepted 15000 students in their masters of science program. Only 6000 of those students completed the program. What percent of the students completed the program?
Correct Answer
D. 40%
Explanation
Out of the 15000 students accepted into the masters of science program, only 6000 completed it. To find the percentage of students who completed the program, we divide the number of students who completed (6000) by the total number of students accepted (15000) and multiply by 100. This gives us a percentage of 40%.
5.
Vale Mountain has a snow making machine that will lay down an inch of snow per hour over an area of 50000 square feet. Which expression shows how to find the number of hours this machine takes to lay down 1 inch of new snow on a ski run that is 700 feet long and 120 feet wide?
Correct Answer
A. (700x120)/50,000
Explanation
The given expression (700x120)/50,000 calculates the number of hours it takes for the snow making machine to lay down 1 inch of new snow on a ski run that is 700 feet long and 120 feet wide. This is determined by multiplying the length and width of the ski run (700 and 120) and then dividing it by the area that the snow making machine can cover in an hour (50,000 square feet).
6.
The dimensions of four rectangles are given below. Which rectangle does not have the same ratio of length to width as the other three?
Correct Answer
D. 4 1/2 inches x 2 3/4 inches
Explanation
The ratio of length to width for the first three rectangles is 14:10, 3.5:2.5, and 7:5 respectively. However, for the fourth rectangle, the ratio of length to width is not the same as the other three. Therefore, the fourth rectangle does not have the same ratio of length to width as the other three.
7.
Mr. Rogers bought a small motorboat. Traveling at a speed of 30 miles per hour, he could go 50 miles on a 6 gallon tank of fuel. At that rate, how many gallons of fuel would he need for a 75 mile trip?
Correct Answer
B. 9
Explanation
Based on the given information, Mr. Rogers can travel 50 miles on a 6 gallon tank of fuel. Therefore, he can travel 50/6 = 8.33 miles per gallon. To calculate how many gallons of fuel he would need for a 75 mile trip, we divide 75 by 8.33, which gives us approximately 9. Therefore, Mr. Rogers would need 9 gallons of fuel for a 75 mile trip.
8.
What is the value of 2/3 x 1/5
Correct Answer
A. 2/15
Explanation
To find the value of 2/3 x 1/5, we multiply the numerators (2 x 1) to get 2, and multiply the denominators (3 x 5) to get 15. Therefore, the answer is 2/15.
9.
Spencer cam run 1 mile in about 8 minutes. Ande can run1 mile in about 10 minutes. If both boys run for 30 minutes, about how much father will Spencer run?
Correct Answer
B. .75 mile
Explanation
Spencer can run 1 mile in about 8 minutes, while Ande can run 1 mile in about 10 minutes. Therefore, in 30 minutes, Spencer will be able to run 30/8 = 3.75 miles, while Ande will be able to run 30/10 = 3 miles. The difference between the distances covered by Spencer and Ande is 3.75 - 3 = 0.75 miles.
10.
Sylvia bought 4 2/3 yards of fabric costing $5.49 per yard. Which amount is a reasonable estimate for the cost of the fabric?
Correct Answer
C. $25
Explanation
The cost of the fabric is estimated by multiplying the number of yards by the cost per yard. In this case, Sylvia bought 4 2/3 yards of fabric, which can be rounded up to 5 yards. Multiplying 5 yards by $5.49 per yard gives an estimated cost of $27.45. Among the given options, $25 is the closest reasonable estimate to the actual cost.
11.
Jenisa used 4/5 of her allowance to purchase a gift. How is this fraction represented as a percent?
Correct Answer
D. 80%
Explanation
Jenisa used 4/5 of her allowance, which means she spent 4 parts out of 5. To convert this fraction to a percent, we need to find what percent 4 parts out of 5 is. By dividing 4 by 5 and multiplying by 100, we get 80%. Therefore, 4/5 is represented as 80%.
12.
There were 279 participants in the science fair. About 2/3 of them were seventh graders. Which of these is a reasonable estimate of the number of seventh graders taking part in the science fair?
Correct Answer
C. 200
Explanation
Since 2/3 of the participants were seventh graders, a reasonable estimate of the number of seventh graders taking part in the science fair would be slightly less than 2/3 of the total number of participants. Since 2/3 of 279 is approximately 186, 200 would be a reasonable estimate as it is slightly higher than 186.
13.
Celia fond many items on sale in her favorite store. Teh items were 1/2 off, 25% off, 40% off , and 1/3 off. Which of the following shows the discounts in order from least to greatest?
Correct Answer
D. 25% < 1/3 < 40% < 1/2
Explanation
The correct answer is 25% < 1/3 < 40% < 1/2. This order is determined by comparing the discounts expressed as fractions and percentages. The fraction 1/3 is the smallest discount, followed by 25% (which is equivalent to 1/4), then 40%, and finally 1/2, which is the largest discount.
14.
Jessica had $115 dollars and spent 1/3 of that amount on a new stereo. Which of the following is the most reasonable estimate of how much she spent on the stereo?
Correct Answer
B. $40
Explanation
Jessica had $115 dollars and spent 1/3 of that amount on a new stereo. To find out how much she spent on the stereo, we need to calculate 1/3 of $115. One way to do this is to divide $115 by 3, which equals approximately $38.33. Since the options given are rounded estimates, the most reasonable estimate would be $40, which is the closest option to the calculated amount.
15.
The number of teachers is directly proportional to the number of students. When there are 224 students, there are 14 teachers. how many teachers are there when there are 368 students?
Correct Answer
B. 23 teachers
Explanation
The given information states that the number of teachers is directly proportional to the number of students. This means that as the number of students increases, the number of teachers will also increase in direct proportion.
Using the given ratio of 224 students to 14 teachers, we can find the ratio of students to teachers: 224/14 = 16 students per teacher.
To find the number of teachers when there are 368 students, we divide the number of students by the ratio: 368/16 = 23 teachers.
Therefore, the correct answer is 23 teachers.
16.
The Lauder Theatre uses 3 ushers for every 150 guests. If the net concert is sold out, and the theater holds 992 people, approximately how many ushers will they need for the sold out concert?
Correct Answer
B. 20 ushers
Explanation
The Lauder Theatre uses 3 ushers for every 150 guests. If the theater holds 992 people, we can calculate the number of ushers needed by dividing the total number of guests (992) by 150. This gives us approximately 6.61, which means we would need 7 ushers. However, since the question asks for an approximate number, we round up to the nearest whole number, which is 7. Therefore, the correct answer is 7 ushers, not 20, 50, or 331.
17.
Mary and Ann collected stamps as a hobby. Mary collected 188 stamps which was less than half the number of stamps, s, Ann collected. Which inequality statement?
Correct Answer
A. 188 < 1/2s
Explanation
Mary collected 188 stamps, which is less than half the number of stamps Ann collected. This can be represented by the inequality statement 188 < 1/2s, where s represents the number of stamps Ann collected.
18.
Correct Answer
B. 7
19.
Correct Answer
A. 8
20.
Henry collects stamps. During week one, he collected 2 stamps. During week two, he collected 5 stamps. During week three, he collected 8 stamps. During week four, he collected 11 stamps. If w is the week number, which expression can be used to find the number of stamps Henry collected each week?
Correct Answer
D. 3w-1
Explanation
The expression 3w-1 can be used to find the number of stamps Henry collected each week. This is because the expression represents the pattern of adding 3 stamps each week, starting from 2 stamps in week one. Subtracting 1 from the week number accounts for the initial 2 stamps collected in week one. Thus, the expression 3w-1 accurately represents the number of stamps collected by Henry each week.
21.
Correct Answer
A. 62m
Explanation
The given options are different expressions involving 'm'. The correct answer is 62m. This means that the value of 'm' should be multiplied by 62 to get the correct result.
22.
Bob owns some DVDs. He owns 8 comedies, 5 animated movies, and 7 action movies. What is the ratio of comedies to the total number of DVDs Bob owns?
Correct Answer
C. 2/5
Explanation
The ratio of comedies to the total number of DVDs Bob owns is 2/5. This can be calculated by dividing the number of comedies (8) by the total number of DVDs (8+5+7=20). Simplifying the ratio gives us 2/5.
23.
Cassandra recorded the average amount spent on groceries each week by her family of four as $114.38. How much is this per day for a 7-day week?
Correct Answer
A. $16.34
Explanation
To find the amount spent per day for a 7-day week, we divide the average amount spent on groceries each week by 7. So, $114.38 divided by 7 equals $16.34.
24.
Joanna has 3/4 of her book left to read. If she reads 1/4 of her book each day, how many days will it take her to finish the book?
Correct Answer
D. 3
Explanation
Joanna has 3/4 of her book left to read and she reads 1/4 of her book each day. To find out how many days it will take her to finish the book, we need to divide the remaining fraction (3/4) by the fraction she reads each day (1/4). When we divide 3/4 by 1/4, we get 3. Therefore, it will take Joanna 3 days to finish the book.
25.
A biologist studies a pond and finds that it has 25 fish and 75 frogs. What is the ratio of fish to frogs?
Correct Answer
A. 1:3
Explanation
The ratio of fish to frogs in the pond is 1:3. This means that for every fish in the pond, there are three frogs.
26.
A district office printed surveys for each school in the district to distribute to its students. The office used 3 1/2 reams of paper to print all of the surveys. Each school in the district received 1/4 of a ream of printed surveys. How many schools are in the district?
Correct Answer
D. 14
Explanation
If each school received 1/4 of a ream of printed surveys and the office used 3 1/2 reams of paper in total, we can divide 3 1/2 by 1/4 to find the number of schools. Dividing 3 1/2 by 1/4 is the same as multiplying 3 1/2 by 4/1, which equals 14. Therefore, there are 14 schools in the district.
27.
What is the value of the following expression? 1/2 (2+4x6-3x2)
Correct Answer
A. 10
Explanation
The given expression is solved using the order of operations (PEMDAS/BODMAS). First, we multiply 4 by 6 to get 24, and then multiply 3 by 2 to get 6. Next, we subtract 6 from 24, resulting in 18. Finally, we add 2 and 18 to get 20, and divide it by 2, giving us the final answer of 10.
28.
On Monday, Julie checked out 24 books from the public library. This is 6 more than twice the number of books she checked out on Saturday. How many books did Julie check out on Saturday?
Correct Answer
C. 9
Explanation
Let's assume the number of books Julie checked out on Saturday is x. According to the given information, 24 is 6 more than twice x. So, we can write the equation 2x + 6 = 24. By subtracting 6 from both sides, we get 2x = 18. Finally, dividing both sides by 2, we find x = 9. Therefore, Julie checked out 9 books on Saturday.
29.
Correct Answer
B. (5,2)
Explanation
The answer (5,2) is the only point that appears more than once in the given set of coordinates. All the other points (4,2), (5,3), and (6,2) appear only once. Therefore, the correct answer is (5,2).
30.
What is the value of this expression?
Correct Answer
D. 36
Explanation
The value of the expression is 36 because it is the last number given in the sequence.
31.
The length of Sara's banner for Family Fun Night is 2 feet more than 1/2 the length of Alex's banner. Saras banner is 10 feet long. What is the length of Alexs banner?
Correct Answer
C. 16 feet
Explanation
The length of Sara's banner is 2 feet more than half the length of Alex's banner. Since Sara's banner is 10 feet long, half the length of Alex's banner would be 10 - 2 = 8 feet. Therefore, the length of Alex's banner is 8 feet x 2 = 16 feet.
32.
Mr. Roberts asked his students to solve this expression and tell me which students response is correct?
Correct Answer
D. 59
33.
Rosalba used a sketch to help her build a doghouse. The sketch is 6 inches long. The doghouse is 4 feet long. Which scale factor did Rosalba use to go from the sketch to the actual dog house?
Correct Answer
A. 1:8
Explanation
Rosalba used a scale factor of 1:8 to go from the sketch to the actual doghouse. This means that for every 1 inch on the sketch, the actual doghouse is 8 inches long. Since the sketch is 6 inches long, the actual doghouse would be 6 x 8 = 48 inches long.
34.
Standing at -2.5 on a giant number line, Marco walks to 3.75, then to -6.75, then to -12.5. What is the total distance Marco walks, if each whole number is equal to one foot?
Correct Answer
C. 22.5 feet
Explanation
Marco starts at -2.5 and walks to 3.75, which is a distance of 6.25 feet. Then, he walks from 3.75 to -6.75, which is a distance of 10.5 feet. Finally, he walks from -6.75 to -12.5, which is a distance of 5.75 feet. Adding up these distances, the total distance Marco walks is 6.25 + 10.5 + 5.75 = 22.5 feet.