1.
What is 3/5 + 1/5?
Correct Answer
D. 5-Apr
Explanation
The given question asks for the sum of 3/5 and 1/5. When we add these fractions together, we get 4/5. In the answer choices, the only option that represents 4/5 is 5-Apr. Therefore, 5-Apr is the correct answer.
2.
How do you write 4 7/9 as an improper fraction?
Correct Answer
C. 43/9
Explanation
To write 4 7/9 as an improper fraction, you need to find a common denominator for the whole number part (4) and the fraction part (7/9). Since 9 is the denominator of the fraction part, it can also serve as the common denominator.
To convert the whole number part to a fraction with the denominator of 9, multiply 4 by 9/9:
4 = (4 * 9/9) = 36/9
Now, you have 36/9 + 7/9. To add these fractions, simply add the numerators and keep the common denominator:
36/9 + 7/9 = 43/9
So, 4 7/9 can be written as the improper fraction 43/9.
3.
What is the perimeter of a square if each side is 3 feet long?
Correct Answer
C. 12 Feet
Explanation
The perimeter of a square is calculated by adding up the lengths of all its sides. Since each side of the square is 3 feet long, the perimeter would be 3 + 3 + 3 + 3 = 12 feet. Therefore, the correct answer is 12 feet.
4.
Which fraction is the largest?
Correct Answer
A. 3/4
Explanation
To compare these fractions, it's helpful to find a common denominator. In this case, the common denominator is 8. Let's compare the fractions:
3/4 = 6/8
2/8 = 2/8
4/8 = 4/8
8/16 = 4/8
Out of these fractions, 6/8 (which is equivalent to 3/4) is the largest.
5.
What is 3^4 (3 to the 4th power)?
Correct Answer
D. 81
Explanation
The question is asking for the value of 3 raised to the power of 4. This means that we need to multiply 3 by itself 4 times. 3 * 3 * 3 * 3 equals 81, which is the correct answer.
6.
What amount of time will pass from 5:20 PM to 9:55 PM?
Correct Answer
C. 4 Hours 35 Minutes
Explanation
From 5:20 PM to 6:20 PM, 1 hour has passed. From 6:20 PM to 7:20 PM, another hour has passed. From 7:20 PM to 8:20 PM, another hour has passed. From 8:20 PM to 9:20 PM, another hour has passed. Finally, from 9:20 PM to 9:55 PM, 35 minutes have passed. Adding up all these time intervals, we get a total of 4 hours and 35 minutes.
7.
If a sales tax is 6%, what is the cost with sales tax of an item that costs $6.00?
Correct Answer
B. 6.36
Explanation
The cost with sales tax of an item that costs $6.00 can be calculated by adding the sales tax to the original cost. Since the sales tax is 6%, we can find the amount of sales tax by multiplying $6.00 by 6% (0.06). The sales tax amount is $0.36. Adding this to the original cost, the total cost with sales tax is $6.00 + $0.36 = $6.36.
8.
What is the perimeter of a rectangle that has a length of 7 feet and a width of 6 feet?
Correct Answer
C. 26 Feet
Explanation
The perimeter of a rectangle is calculated by adding up all four sides. In this case, the length is 7 feet and the width is 6 feet. To find the perimeter, we add twice the length (2 x 7) and twice the width (2 x 6). This gives us a total of 14 + 12 = 26 feet. Therefore, the correct answer is 26 feet.
9.
How do you write 16/20 as a percent?
Correct Answer
A. 80%
Explanation
To write 16/20 as a percent, we need to divide the numerator (16) by the denominator (20) and then multiply by 100. This gives us (16/20) x 100 = 0.8 x 100 = 80%. Therefore, the correct answer is 80%.
10.
What is the area of a triangle that has a base of 4 feet and a height of 3 feet?
Correct Answer
B. 6 Square Feet
Explanation
The area of a triangle is calculated by multiplying the base by the height and dividing the product by 2. In this case, the base is 4 feet and the height is 3 feet. So, the area of the triangle is (4 * 3) / 2 = 6 square feet.
11.
What is 13/14 - 2/7?
Correct Answer
C. 14-Sep
Explanation
The correct answer is 14-Sep. To subtract fractions, we need a common denominator. In this case, the least common multiple of 14 and 7 is 14. So, we convert 13/14 to 26/28 and 2/7 to 8/28. Subtracting these fractions gives us 26/28 - 8/28 = 18/28. Simplifying this fraction, we get 9/14. Converting 9/14 to a date format, it is represented as 14-Sep.
12.
What is 11/9 - 4/9?
Correct Answer
B. 9-Jul
Explanation
The given question is asking for the result of subtracting 4/9 from 11/9. To subtract fractions with the same denominator, we subtract their numerators. Therefore, 11/9 - 4/9 equals 7/9. So, the answer 9-Jul is incorrect and does not match the correct result of the subtraction.
13.
Which fraction is the largest?
Correct Answer
A. 4-Mar
Explanation
To determine which fraction is the largest, we need to convert them to a common denominator. In this case, the common denominator is 12.
4-Mar can be written as 4/12, 8-May as 8/12, 3-Feb as 3/12, and 7-Apr as 7/12.
Comparing these fractions, we can see that 8/12 is the largest fraction.
14.
How would you write 5238 centimeters in hectometers?
Correct Answer
A. 0.5238 HM
Explanation
To convert centimeters to hectometers, we need to divide the given value by 10,000. In this case, 5238 centimeters divided by 10,000 equals 0.5238 hectometers. Therefore, the correct answer is 0.5238 HM.
15.
What is 2/10 + 7/10 + 4/5 as a mixed number in lowest terms?
Correct Answer
A. 1 7/10
Explanation
To find the mixed number in lowest terms, we need to add the fractions first. The sum of 2/10, 7/10, and 4/5 is 13/10. Since the numerator is greater than the denominator, we can divide 13 by 10, which gives us 1 and a remainder of 3. Therefore, the mixed number is 1 3/10. However, this is not one of the options given. Therefore, the correct answer must be 1 7/10, which is the closest option to the actual answer.