1.
What is the ratio of the number of months whose names start with vowels to the number of months whose names start with consonants?
Correct Answer
B. 1 : 3
Explanation
The ratio of the number of months whose names start with vowels to the number of months whose names start with consonants is 1:3. This means that for every month whose name starts with a vowel, there are three months whose names start with a consonant.
2.
Find the missing term in the proportion
Correct Answer
D. 63
Explanation
The missing term in the proportion can be found by observing the pattern in the given sequence. By subtracting 5 from each term, we can see that the sequence follows a pattern of increasing by 5. Therefore, the missing term would be 63 since it is the next term in the sequence after 58.
3.
Bobbi earns $25.80 for 6 hours of work. How much will she earn if she works 10 hours?
Correct Answer
A. $43.00
Explanation
If Bobbi earns $25.80 for 6 hours of work, we can calculate her hourly rate by dividing her earnings by the number of hours worked. The hourly rate is $25.80/6 = $4.30. To find out how much she will earn if she works 10 hours, we can multiply her hourly rate by the number of hours worked. $4.30 x 10 = $43.00. Therefore, she will earn $43.00 if she works 10 hours.
4.
The temperature dropped 42 degrees in 6.2 hours. What is the unit rate for the drop, to the nearest tenth?
Correct Answer
C. 6.8 degrees / hour
Explanation
The unit rate represents the amount of change in temperature per hour. In this case, the temperature dropped 42 degrees in 6.2 hours. To find the unit rate, we divide the total change in temperature (42 degrees) by the total time (6.2 hours). When we divide 42 by 6.2, we get approximately 6.8. Therefore, the unit rate for the drop in temperature is 6.8 degrees per hour.
5.
If Mr. Brown can milk 42 cows in 50 minutes, how long would it take him to milk 150 cows (to the nearest 5 minutes)?
Correct Answer
D. 3 hours
Explanation
If Mr. Brown can milk 42 cows in 50 minutes, it means that he can milk approximately 0.84 cows per minute (42 cows divided by 50 minutes). To find out how long it would take him to milk 150 cows, we can divide 150 cows by 0.84 cows per minute. This gives us approximately 178.57 minutes. Rounding to the nearest 5 minutes, it would take him 180 minutes, which is equivalent to 3 hours. Therefore, the correct answer is 3 hours.
6.
There are 12 girls in a class of 21. Write the ratio of girls to boys in the class as a decimal rounded to the nearest hundredth.
Correct Answer
C. 1.33
Explanation
The ratio of girls to boys in the class can be found by dividing the number of girls (12) by the total number of students in the class (21). This gives us 12/21, which can be simplified to 4/7. To express this ratio as a decimal rounded to the nearest hundredth, we divide 4 by 7, resulting in 0.57. Therefore, the correct answer is 0.57.
7.
What is the unit rate for 203 miles in 3.5 hours?
Correct Answer
B. 58 miles / hour
Explanation
The unit rate is calculated by dividing the total distance traveled by the total time taken. In this case, the distance traveled is 203 miles and the time taken is 3.5 hours. Dividing 203 by 3.5 gives us a unit rate of approximately 58 miles per hour.
8.
You are building a model of the Eiffel Tower, which is 984 feet tall. If you use a scale of 1 inch = 24 feet, how tall will your model be?
Correct Answer
B. 41 inches
Explanation
Using a scale of 1 inch = 24 feet means that for every 1 inch on the model, it represents 24 feet in real life. Since the Eiffel Tower is 984 feet tall, we can calculate the height of the model by dividing 984 by 24. This gives us 41 inches, which means that the model will be 41 inches tall.
9.
The Blue Jays won 89 out of 147 games. Use a "nice" fraction to estimate the percent of games they won.
Correct Answer
C. 60%
Explanation
To estimate the percent of games the Blue Jays won, we can simplify the fraction 89/147. By dividing both the numerator and denominator by 3, we get 29/49. This fraction can be approximated to 60%, which means that the Blue Jays won approximately 60% of their games.
10.
Which of the following pairs of ratios are not equivalent?
Correct Answer
D. 3 : 2 and 9 : 4
Explanation
The given ratios 3:2 and 9:4 are not equivalent because they cannot be simplified to the same ratio. When we simplify 3:2, we divide both numbers by their greatest common divisor, which is 1. This gives us the simplified ratio 3:2. However, when we simplify 9:4, we divide both numbers by their greatest common divisor, which is 1. This gives us the simplified ratio 9:4. Since these simplified ratios are not the same, the original ratios 3:2 and 9:4 are not equivalent.
11.
Find the value. 40% of 140
Correct Answer
56
Explanation
To find 40% of 140, we multiply 140 by 0.40 (which is the decimal equivalent of 40%). 140 * 0.40 equals 56. Therefore, the value is 56.
12.
Find the value. 75% of 320
Correct Answer
240
Explanation
To find 75% of 320, we can multiply 320 by 0.75. This is because 75% is equivalent to 0.75 as a decimal. Multiplying 320 by 0.75 gives us 240. Therefore, the value is 240.
13.
Find the value. 10% of 400
Correct Answer
40
Explanation
The question is asking for 10% of 400. To find this, we can multiply 400 by 10% (or 0.1). Multiplying 400 by 0.1 gives us 40, which is the correct answer.
14.
The ratios 6 : 14 and 18 : 32 are equivalent.
Correct Answer
B. False
Explanation
The ratios 6:14 and 18:32 are not equivalent because in order for two ratios to be equivalent, the cross products must be equal. However, when we cross multiply 6 and 32, we get 192, and when we cross multiply 14 and 18, we get 252. Since 192 is not equal to 252, the ratios are not equivalent. Therefore, the correct answer is False.
15.
The ratios 9 : 21 and 19 : 50 are equivalent.
Correct Answer
B. False
Explanation
The ratios 9:21 and 19:50 are not equivalent because they represent different proportions. In the first ratio, for every 9 units, there are 21 units, while in the second ratio, for every 19 units, there are 50 units. Since the proportions are different, the ratios cannot be equivalent.
16.
The ratios 3 : 11 and 15 : 55 are equivalent.
Correct Answer
A. True
Explanation
The given ratios 3:11 and 15:55 are equivalent because they can be simplified to the same ratio. By dividing both sides of the first ratio by 3, we get 1:11. Similarly, by dividing both sides of the second ratio by 5, we get 3:11. Therefore, the ratios are equivalent and the answer is true.
17.
Write the ratio 8 : 25 as a decimal to the nearest hundredth.
Correct Answer
0.32
.32
Explanation
The ratio 8:25 can be written as a decimal by dividing 8 by 25. This division gives us 0.32, which can also be written as .32.
18.
Write the ratio 34 : 45 as a decimal to the nearest hundredth.
Correct Answer
0.76
.76
Explanation
The ratio 34:45 can be written as a fraction 34/45. To convert this fraction into a decimal, we divide the numerator (34) by the denominator (45). The result is approximately 0.7556. Rounding this to the nearest hundredth gives us 0.76.
19.
Write the ratio 8 : 9 as a decimal to the nearest hundredth.
Correct Answer
0.89
.89
Explanation
To convert a ratio to a decimal, divide the first number by the second number. In this case, dividing 8 by 9 gives us 0.8888888888... However, we are asked to round to the nearest hundredth. Since the next digit after the hundredth place is 8, which is greater than 5, we round up the hundredth place to 9. Therefore, the correct decimal representation of the ratio 8:9 is 0.89.
20.
Write the ratio 10 : 55 as a decimal to the nearest hundredth.
Correct Answer
0.18
.18
Explanation
The ratio 10:55 can be written as a decimal by dividing 10 by 55. The result is 0.1818181818... However, we are asked to round the decimal to the nearest hundredth, which means we look at the digit in the thousandth place. Since the digit in the thousandth place is 1 and less than 5, we round down to 0.18.
21.
The ratios 2 : 5 and 6 : 20 are equivalent.
Correct Answer
B. False
Explanation
The ratios 2 : 5 and 6 : 20 are not equivalent because they represent different relationships between the numbers. In the first ratio, for every 2 units, there are 5 units, while in the second ratio, for every 6 units, there are 20 units. Therefore, the ratios are not equal, making the answer false.