1.
How many gallons are in 20 quarts?
Correct Answer
B. 5
Explanation
There are 4 quarts in a gallon, so to find the number of gallons in 20 quarts, we divide 20 by 4. The result is 5, meaning that there are 5 gallons in 20 quarts.
2.
What is the area of a triangle that has a base of 8 feet and a height of 9 feet?
Correct Answer
D. 36 Square Feet
Explanation
The area of a triangle is calculated by multiplying the base and the height of the triangle and dividing the result by 2. In this case, the base is 8 feet and the height is 9 feet. So, the area of the triangle is (8 * 9) / 2 = 36 square feet.
3.
Which of these fractions is largest?
Correct Answer
A. 7/8
Explanation
The fraction 7/8 is the largest because the numerator (7) is the highest among all the fractions, while the denominators are the same for all the fractions. Therefore, the fraction with the highest numerator will be the largest.
4.
How to write 72 inches in feet?
Correct Answer
A. 6 Feet
Explanation
To convert inches to feet, divide the number of inches by 12. In this case, 72 inches divided by 12 equals 6 feet. Therefore, the correct answer is 6 feet.
5.
What is another way to write the ratio "1 to 5"?
Correct Answer
C. 1:5
Explanation
Another way to write the ratio "1 to 5" is 1:5.
6.
How many pounds are in 3.5 tons?
Correct Answer
D. 7000 (approx)
Explanation
There are 2000 pounds in one ton. Therefore, to convert tons to pounds, you would multiply the number of tons by 2000. In this case, 3.5 tons multiplied by 2000 equals 7000 pounds.
7.
Which point will satisfy the equation: x + y = 5?
Correct Answer
A. (1, 4)
Explanation
The point (1, 4) satisfies the equation x + y = 5 because when we substitute x = 1 and y = 4 into the equation, we get 1 + 4 = 5, which is true.
8.
Which amount is largest?
Correct Answer
B. 1 Gram
Explanation
The gram is the largest unit of measurement among the options given. A decigram is one-tenth of a gram, a milligram is one-thousandth of a gram, and a centigram is one-hundredth of a gram. Therefore, 1 gram is the largest amount.
9.
What is 1 1/2 times 2 1/4?
Correct Answer
C. 3 3/8
Explanation
To find the product of two mixed numbers, we multiply the whole numbers together, multiply the fractions together, and then add the two results. In this case, multiplying 1 1/2 by 2 1/4 gives us 3, multiplying 1/2 by 1/4 gives us 1/8, and adding these results gives us 3 1/8. However, none of the given options match this answer. Therefore, the correct answer is not available.
10.
Within the same day, how much time will pass between 2:15 PM and 5:15 PM?
Correct Answer
C. 3 Hours
Explanation
Between 2:15 PM and 5:15 PM, a total of 3 hours will pass. This is because the time difference between the two given times is exactly 3 hours.
11.
What is 7 x 3/5?
Correct Answer
D. 21/5
Explanation
To find the product of 7 and 3/5, we multiply the whole number by the numerator and divide the result by the denominator. So, 7 multiplied by 3 is 21. Dividing 21 by 5 gives us 4 with a remainder of 1. Therefore, the answer is 21/5.
12.
What is 1/4 + 1/3 in lowest terms?
Correct Answer
C. 7/12
Explanation
To add fractions, we need a common denominator. The common denominator for 1/4 and 1/3 is 12. So, we convert 1/4 to 3/12 and 1/3 to 4/12. Adding these fractions together gives us 7/12. Therefore, the correct answer is 7/12.
13.
What is 2/3 times 1/4 in lowest terms?
Correct Answer
B. 1/6
Explanation
To find the product of two fractions, we multiply their numerators together and their denominators together. In this case, multiplying 2/3 and 1/4 gives us (2*1)/(3*4), which simplifies to 2/12. To express this fraction in lowest terms, we can divide both the numerator and denominator by their greatest common divisor, which is 2. Dividing 2/12 by 2 gives us 1/6, which is the final answer.
14.
What is 1/2 times 1/3 in lowest terms?
Correct Answer
C. 1/6
Explanation
To find the product of two fractions, you multiply their numerators and denominators. In this case, multiplying 1/2 and 1/3 gives (1*1)/(2*3) = 1/6. This fraction cannot be simplified further, so it is already in its lowest terms. Therefore, the correct answer is 1/6.
15.
What is 1/5 times 7/9 in lowest terms?
Correct Answer
B. 7/45
Explanation
To find the product of two fractions, we multiply the numerators together and the denominators together. In this case, we multiply 1/5 by 7/9. The numerator becomes 1 * 7 = 7, and the denominator becomes 5 * 9 = 45. Therefore, 1/5 times 7/9 is equal to 7/45.