Math Word Problems With Answers For Grade 6

The term "sum" refers to the answer obtained when adding two or more numbers together. In this context, the question is asking for the name of the answer when performing an addition operation. Therefore, the correct answer is "sum."

Mrs. Smith initially had 12 donuts. She then bought 25 more donuts. To find the total number of donuts she has now, we add the initial number of donuts (12) to the number of donuts she bought (25). Therefore, Mrs. Smith now has a total of 37 donuts.

In subtraction, the answer is called the "difference." This is because when subtracting one number from another, we are finding the difference or the amount by which the two numbers differ. The difference represents the result of the subtraction operation and indicates how much one number is smaller than the other.

The correct answer is 91,386 because when you add 84,291 and 7,095, you get a total of 91,386.

The number 15 is not a factor of 99 because when 99 is divided by 15, it does not result in a whole number. A factor is a number that divides evenly into another number without leaving a remainder. However, when 99 is divided by 15, the result is 6 with a remainder of 9. Therefore, 15 is not a factor of 99.

The keyword "fewer" is not used in solving addition word problems. "Fewer" is typically used when comparing quantities and implies a subtraction or reduction rather than an addition. The other keywords, "increase," "combined," and "sum," all relate to addition and are commonly used in solving addition word problems.

After selling 3,710 cards, the number of cards left can be found by subtracting the number of cards sold from the initial number of cards. So, 5,300 - 3,710 = 1,590 cards are left.

A common multiple of two numbers is a number that is divisible by both of those numbers. In this case, we need to find a number that is divisible by both 12 and 30. The number 60 satisfies this condition because it is evenly divisible by both 12 (60 ÷ 12 = 5) and 30 (60 ÷ 30 = 2). Therefore, 60 is a common multiple of 12 and 30.

The greatest common factor (GCF) is the largest number that can evenly divide both 36 and 45 without leaving a remainder. To find the GCF, we can list the factors of both numbers and find the largest one they have in common. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The factors of 45 are 1, 3, 5, 9, 15, and 45. The largest factor they have in common is 9, so the correct answer is 9.

The greatest common factor (GCF) is the largest number that can evenly divide both 48 and 72. To find the GCF, we can list the factors of both numbers and find the largest one they have in common. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. The largest factor they have in common is 24, so the correct answer is 24.

The smallest check they can receive so that both their earnings match is $30. This is because Jake makes $10 an hour and Judy makes $15 an hour, so the smallest check that would equalize their earnings would be the common multiple of $10 and $15, which is $30.

The pair (15, 4) is not a factor pair of 225 because when we multiply 15 and 4, we get 60, not 225.

The keyword "how many more" is commonly used in subtraction word problems to indicate the difference between two quantities. It suggests that there is a comparison being made and the focus is on finding out the additional amount needed to reach a certain value. This keyword helps identify the specific type of word problem that involves subtraction and guides the problem-solving process.

The number 72 is a common multiple of 8 and 12 because it is divisible by both 8 and 12 without leaving a remainder. To find a common multiple, we can list the multiples of one number and check if they are also multiples of the other number. In this case, the multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, and 72. The multiples of 12 are 12, 24, 36, 48, 60, 72, and so on. The only number that appears in both lists is 72, making it a common multiple of 8 and 12.

The factor pair of 72 is (3, 24) because when you multiply 3 and 24 together, you get 72.

To find the number of child tickets sold, subtract the number of adult tickets from the total number of tickets:

3,718 total tickets - 1,279 adult tickets = 2,439 child tickets

13 is a factor of 78 because it divides evenly into 78 without leaving a remainder. When 78 is divided by 13, the result is a whole number, indicating that 13 is a factor of 78.

The least common multiple (LCM) is the smallest multiple that two or more numbers have in common. To find the LCM of 8 and 10, we can list the multiples of each number and find the smallest one they have in common. The multiples of 8 are 8, 16, 24, 32, 40, ... and the multiples of 10 are 10, 20, 30, 40, ... The smallest multiple they have in common is 40, so the LCM of 8 and 10 is 40.

In June, there were 25,150 visitors to the Grand Canyon National Park. The total number of visitors in June and July combined is 48,924. To find the number of visitors in July, we subtract the number of visitors in June from the total. 48,924 - 25,150= 23,774. 

The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers. In this case, the LCM of 3 and 9 is 9 because it is the smallest number that can be evenly divided by both 3 and 9. Therefore, the correct answer is 9.