1.
What will be the answer to (5 x 5 - 3 + 2 - 5)?
Correct Answer
D. 19
2.
πr2 is the formula for
Correct Answer
A. The area of a circle
Explanation
The formula πr2 represents the area of a circle. The symbol π represents the mathematical constant pi, which is approximately equal to 3.14159. The radius of the circle is denoted by r, and squaring it (r2) gives the area of the circle. Therefore, the correct answer is "The area of a circle."
3.
47 x 69 = ?
Correct Answer
A. 3243
Explanation
To find the product of 47 and 69, you can use a calculator or perform long multiplication. Long multiplication involves multiplying each digit of the second number (69) by each digit of the first number (47), starting with the units digit and moving to the tens digit. The resulting partial products are then added together to get the final product of 3243.
4.
What is 152/4?
Correct Answer
A. 38
Explanation
The correct answer is 38 because when we divide 152 by 4, we get 38.
5.
What is a prime number?
Correct Answer
C. A number with only factors 1 and itself
Explanation
A prime number is a number that can only be divided by 1 and itself without leaving a remainder. It does not have any other factors. For example, 2, 3, 5, 7, and 11 are prime numbers because they can only be divided by 1 and themselves. Any number with more than 2 factors, such as 4 (1, 2, and 4), is not a prime number.
6.
One-fifth of something is equal to 20 percent of it.
Correct Answer
A. True
Explanation
The statement is true because one-fifth is equal to 20 percent. This can be understood by converting the fraction one-fifth to a percentage, which is done by multiplying it by 100. One-fifth multiplied by 100 equals 20, therefore it is equal to 20 percent.
7.
The formula for the volume of a sphere is V = (4/3)πr^3.
Correct Answer
A. True
Explanation
The volume of a sphere is calculated using the formula V = (4/3)πr^3, where V represents the volume, π (pi) is a mathematical constant approximately equal to 3.14159, and r is the radius of the sphere. This formula is derived from the principles of calculus and geometry, and it accurately calculates the amount of three-dimensional space occupied by a sphere.
8.
What is the percent of 3/5?
Correct Answer
A. 60%
Explanation
To express a fraction as a percentage, divide the numerator (top number) by the denominator (bottom number). This gives you a decimal value. Multiply the decimal by 100 to convert it into a percentage. In this case, 3 divided by 5 equals 0.6. Multiplying 0.6 by 100 yields 60%. Therefore, 3/5 is equivalent to 60%.
9.
Solve:
35 - 12 x 5 =
Correct Answer
C. -25
Explanation
To solve this, we need to follow the order of operations (PEMDAS/BODMAS):
Parentheses/Brackets: There are none in this expression.
Exponents/Orders: There are none in this expression.
Multiplication and Division: 12 x 5 = 60
Addition and Subtraction: 35 - 60 = -25
Therefore, the answer is -25.
10.
Solve:
42 + 12/4 =
Correct Answer
B. 45
Explanation
42 + 12/4
First, perform the division:
12/4 = 3
Now, substitute this result back into the expression:
42 + 3
Finally, perform the addition:
42 + 3 = 45
So, the solution is 45.