1.
Which number is closest to 5?
Correct Answer
C. 4 7/8
Explanation
The number 4 7/8 is the closest to 5 because it is the largest number among the given options. It is only 1/8 less than 5, while the other options are further away from 5.
2.
Which is the best estimate for 5/11 + 12/13?
Correct Answer
C. 1
Explanation
The best estimate for 5/11 + 12/13 is 1. This can be determined by approximating the fractions to their nearest whole numbers. 5/11 is slightly less than 1/2, and 12/13 is slightly less than 1. When adding these approximations, we get a sum that is slightly larger than 1. Therefore, 1 is the best estimate for the given expression.
3.
What is the difference of 35/60 and 11/60?
Correct Answer
B. 2/5
Explanation
The difference between two fractions is found by subtracting the numerator of one fraction from the numerator of the other fraction while keeping the denominator the same. In this case, subtracting 11/60 from 35/60 gives us 24/60. Simplifying this fraction, we get 2/5. Therefore, the correct answer is 2/5.
4.
9/12 + 4/16
Correct Answer
D. 1
Explanation
The given expression is a sum of two fractions. To add fractions, we need to find a common denominator. In this case, the least common multiple of 12 and 16 is 48. We then convert both fractions to have the denominator 48. 9/12 becomes 36/48 and 4/16 becomes 12/48. Adding these fractions gives us 48/48, which simplifies to 1. Therefore, the correct answer is 1.
5.
Which two nubmers have a sum of 15 3/8?
Correct Answer
B. 8 1/8 & 7 1/4
Explanation
The sum of 8 1/8 and 7 1/4 is equal to 15 3/8.
6.
10 1/10 - 3 2/5
Correct Answer
C. 6 7/10
Explanation
The given expression is a subtraction problem involving mixed numbers. To solve it, we need to convert the mixed numbers into improper fractions. The first number, 10 1/10, can be written as 101/10, and the second number, 3 2/5, can be written as 17/5. Next, we subtract the second fraction from the first fraction, which gives us (101/10) - (17/5). To subtract fractions, we need a common denominator, which in this case is 10. After finding the common denominator, we subtract the numerators and keep the denominator the same, resulting in (101-34)/10 = 67/10. Finally, we convert the improper fraction back into a mixed number, which is 6 7/10.
7.
A baby weighed 6 3/16 punds at birth and gained about 2 1/8 pounds. What is the current weight of the baby?
Correct Answer
C. 8 5/16
Explanation
The baby weighed 6 3/16 pounds at birth and gained about 2 1/8 pounds. To find the current weight, we need to add the two weights together. When we add 6 3/16 and 2 1/8, we get 8 5/16. Therefore, the current weight of the baby is 8 5/16 pounds.
8.
What is the elapsed time between 4:25 AM and 7:24 AM?
Correct Answer
A. 2h 59min
Explanation
The elapsed time between 4:25 AM and 7:24 AM is 2 hours and 59 minutes. This can be calculated by subtracting the starting time (4:25 AM) from the ending time (7:24 AM). The difference in hours is 2 and the difference in minutes is 59, resulting in a total elapsed time of 2 hours and 59 minutes.
9.
What is 3/7 of 35?
Correct Answer
D. 15
Explanation
To find 3/7 of 35, we can multiply 35 by 3/7. Multiplying 35 by 3 gives us 105, and dividing that by 7 gives us 15. Therefore, 3/7 of 35 is equal to 15.
10.
Which number multiplied by 4 1/3 gives a product closest to 12?
Correct Answer
C. 3 1/5
Explanation
To find the number that, when multiplied by 4 1/3, gives a product closest to 12, we can calculate the product of each option and compare it to 12. Multiplying 4 1/3 by 1 1/5 gives a product of approximately 5.8667, multiplying it by 2 1/5 gives a product of approximately 11.7333, multiplying it by 3 1/5 gives a product of approximately 17.6, and multiplying it by 4 1/5 gives a product of approximately 23.4667. Among these options, the product closest to 12 is obtained when we multiply 4 1/3 by 2 1/5, so the correct answer is 3 1/5.
11.
1/2 รท 5
Correct Answer
C. 1/10
Explanation
To divide a fraction by a whole number, you can multiply the numerator of the fraction by the reciprocal of the whole number. In this case, 1/2 divided by 5 can be rewritten as 1/2 multiplied by 1/5. Multiplying the numerators gives 1, and multiplying the denominators gives 10. Therefore, the answer is 1/10.
12.
Solve for x.3/4x=12
Correct Answer
C. 16
Explanation
To solve for x in the equation 3/4x = 12, we can start by multiplying both sides of the equation by the reciprocal of 3/4, which is 4/3. This will cancel out the fraction on the left side, leaving us with x = 12 * 4/3. Simplifying this expression gives us x = 16. Therefore, the correct answer is 16.
13.
Jai alai is a game played in Cuba, Spain, Mexico, and the United States. The ball, or pelota, weighs 4 1/2 ounces. How many ounces are in 16 pelotas?
Correct Answer
A. 72
Explanation
Jai alai is a game played in multiple countries, including Cuba, Spain, Mexico, and the United States. The weight of one ball, or pelota, is given as 4 1/2 ounces. To find the total weight of 16 pelotas, we need to multiply the weight of one pelota by the number of pelotas. 4 1/2 ounces multiplied by 16 equals 72 ounces. Therefore, the correct answer is 72.
14.
You bought a 12-count variety pack of dried fruit. Each bag of dried fruit contains c ounces. How many ounces of dried fruit did you buy?
Correct Answer
D. 12c
Explanation
The correct answer is 12c because there are 12 bags of dried fruit in the variety pack, and each bag contains c ounces. By multiplying the number of bags (12) by the number of ounces in each bag (c), we can determine the total number of ounces of dried fruit bought.
15.
X - 1/10 = 1/2
Correct Answer
D. 3/5
Explanation
To solve the equation x - 1/10 = 1/2, we need to isolate the variable x. To do this, we can add 1/10 to both sides of the equation. This gives us x = 1/2 + 1/10. To add these fractions, we need a common denominator, which is 10. So, 1/2 can be written as 5/10. Adding 5/10 and 1/10 gives us 6/10, which simplifies to 3/5. Therefore, the answer is 3/5.
16.
Write 2/5 as a percent.
Correct Answer
B. 40%
Explanation
To convert a fraction to a percent, you need to multiply it by 100. In this case, multiplying 2/5 by 100 gives you 40%. Therefore, 2/5 as a percent is 40%.
17.
Find 5% of 200
Correct Answer
B. 10
Explanation
To find 5% of a number, you can multiply the number by 0.05. In this case, multiplying 200 by 0.05 gives us 10. Therefore, the correct answer is 10.
18.
Find the range of the data.8, 7, 16, 13, 4, 25, 11
Correct Answer
D. 21
Explanation
The range of a set of data is the difference between the largest and smallest values. In this case, the largest value is 25 and the smallest value is 4. Subtracting the smallest value from the largest value gives us a range of 21.
19.
What is the mode of the data?2, 5, 8, 4, 6, 5, 7, 9, 5, 5, 3, 2, 2, 4, 5
Correct Answer
B. 5
Explanation
The mode of a set of data is the value that appears most frequently. In this case, the number 5 appears 4 times, which is more than any other number in the set. Therefore, the mode of the data set is 5.
20.
What is the median of the data?7, 8, 6, 3, 1, 4
Correct Answer
B. 5
Explanation
The median is the middle value when the data is arranged in ascending or descending order. In this case, if we arrange the data in ascending order, we have 1, 3, 4, 6, 7, 8. The middle value is 4, so it is the median of the data.