1.
What is the value of 15 multiplied by 6?
Correct Answer
C. 90
Explanation
To find the value of 15 multiplied by 6, you need to perform a simple multiplication operation. Multiplication is one of the basic arithmetic operations, where you add a number to itself a specified number of times. In this case, you are adding 15 to itself 6 times. The calculation is 15 times 6, which equals 90. This means that if you have 15 groups of 6 or 6 groups of 15, the total will be 90.
2.
If you subtract 37 from 82, what do you get?
Correct Answer
A. 45
Explanation
Subtracting 37 from 82 involves a basic subtraction operation. Subtraction is the process of removing a certain amount from a larger amount. Here, you start with 82 and subtract 37 from it. To do this, you line up the numbers and subtract each digit starting from the right. The result of 82 minus 37 is 45, meaning that when you take 37 away from 82, you are left with 45.
3.
What is 144 divided by 12?
Correct Answer
C. 12
Explanation
Subtracting 37 from 82 involves a basic subtraction operation. Subtraction is the process of removing a certain amount from a larger amount. Here, you start with 82 and subtract 37 from it. To do this, you line up the numbers and subtract each digit starting from the right. The result of 82 minus 37 is 45, meaning that when you take 37 away from 82, you are left with 45.
4.
How many quarters are there in 5 dollars?
Correct Answer
C. 20
Explanation
Subtracting 37 from 82 involves a basic subtraction operation. Subtraction is the process of removing a certain amount from a larger amount. Here, you start with 82 and subtract 37 from it. To do this, you line up the numbers and subtract each digit starting from the right. The result of 82 minus 37 is 45, meaning that when you take 37 away from 82, you are left with 45.
5.
What is the value of 9 squared?
Correct Answer
B. 81
Explanation
To determine how many quarters are in 5 dollars, you first need to know that each dollar is made up of 4 quarters, because each quarter is worth 25 cents, and a dollar is 100 cents. Therefore, to find the number of quarters in 5 dollars, you multiply 4 quarters by 5 dollars. The calculation is 4 times 5, which equals 20. This means that 5 dollars is equivalent to 20 quarters.
6.
If you have 3 dimes and 4 nickels, how much money do you have?
Correct Answer
D. 50 cents
Explanation
Squaring the number 9 means multiplying 9 by itself. Squaring is a mathematical operation where a number is multiplied by itself to find its square. For 9 squared, you perform the multiplication 9 times 9, which equals 81. This operation is used in various mathematical contexts, such as calculating the area of a square with sides of length 9 units.
7.
What is the greatest common divisor of 36 and 48?
Correct Answer
C. 12
Explanation
If you have 3 dimes and 4 nickels, you need to calculate the total value in cents. A dime is worth 10 cents, so 3 dimes equal 30 cents. A nickel is worth 5 cents, so 4 nickels equal 20 cents. To find the total amount, you add the value of the dimes and nickels together. The calculation is 30 cents plus 20 cents, which equals 50 cents. This total represents the combined value of the dimes and nickels.
8.
How many pennies make up a dollar?
Correct Answer
C. 100
Explanation
The greatest common divisor (GCD) of two numbers is the largest number that can divide both numbers without leaving a remainder. For the numbers 36 and 48, you first list the divisors of each. The divisors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36, while the divisors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. The largest number that appears in both lists is 12, making 12 the greatest common divisor of 36 and 48.
9.
Solve for x in the equation 2x + 3 = 11. What is x?
Correct Answer
C. 4
Explanation
To determine how many pennies make up a dollar, you need to understand that each penny is worth 1 cent, and a dollar is worth 100 cents. Since each penny represents 1 cent, it takes 100 pennies to make up 100 cents, which equals one dollar. This is a straightforward calculation because you are simply counting how many individual units of 1 cent add up to 100 cents.
10.
If you multiply a number by 3 and then subtract 7, you get 14. What is the number?
Correct Answer
C. 7
Explanation
Solving the equation 2x + 3 = 11 involves finding the value of x that makes the equation true. You start by isolating the term containing x. Subtract 3 from both sides of the equation, resulting in 2x = 8. Next, you divide both sides by 2 to solve for x. The calculation gives x = 4. This means that when x equals 4, the original equation holds true, as substituting 4 for x results in 2 times 4 plus 3, which indeed equals 11.