Mental Math Practice Test Quiz

1. 72 divided by 9 is

10

8

Division is the process of splitting a number into equal parts. In this case, we are dividing 72 by 9. This means we are trying to find out how many groups of 9 are contained within 72. The answer is 8, as 9 multiplied by 8 equals 72.

Explanation

Division is the process of splitting a number into equal parts. In this case, we are dividing 72 by 9. This means we are trying to find out how many groups of 9 are contained within 72. The answer is 8, as 9 multiplied by 8 equals 72.

2. 8 x 7 =

64

56

The expression 8×7 represents the multiplication of the numbers 8 and 7. When you multiply them together, you get the product:

8×7=56

So, the correct answer is 56.

Explanation

The expression 8×7 represents the multiplication of the numbers 8 and 7. When you multiply them together, you get the product:

8×7=56

So, the correct answer is 56.

3. 240 divided by 6 is

30

40

To find the result of dividing 240 by 6, we need to divide 240 by 6. When we do this calculation, we get the result of 40. Therefore, the correct answer is 40.

Explanation

To find the result of dividing 240 by 6, we need to divide 240 by 6. When we do this calculation, we get the result of 40. Therefore, the correct answer is 40.

4. 23 x 8 =

194

184

The correct answer is 184 because when you multiply 23 by 8, you get the product of 184.

Explanation

The correct answer is 184 because when you multiply 23 by 8, you get the product of 184.

5. Which statement is TRUE?

Multiplication is the inverse of division.

Subtraction is the inverse of multiplication.

In mathematics, the inverse of an operation "undoes" the effects of that operation. Multiplication and division are inverse operations of each other. If you multiply a number by another number and then divide the result by the same number, you get back to the original number. This relationship makes multiplication the inverse of division.

Explanation

In mathematics, the inverse of an operation "undoes" the effects of that operation. Multiplication and division are inverse operations of each other. If you multiply a number by another number and then divide the result by the same number, you get back to the original number. This relationship makes multiplication the inverse of division.

6. 55 x 6 =

330

350

The correct answer is 330 because when you multiply 55 by 6, you are essentially adding 55 to itself 6 times. So, 55 + 55 + 55 + 55 + 55 + 55 equals 330.

Explanation

The correct answer is 330 because when you multiply 55 by 6, you are essentially adding 55 to itself 6 times. So, 55 + 55 + 55 + 55 + 55 + 55 equals 330.

7. It is the process of taking away.

Multiplication

Subtraction

Subtraction is the correct answer because it is the process of taking away. In mathematics, subtraction is an arithmetic operation that involves subtracting one number from another to find the difference between them. It is the opposite of addition and is used to find the result when something is removed or taken away from a given quantity. Therefore, subtraction fits the description of the process of taking away.

Explanation

Subtraction is the correct answer because it is the process of taking away. In mathematics, subtraction is an arithmetic operation that involves subtracting one number from another to find the difference between them. It is the opposite of addition and is used to find the result when something is removed or taken away from a given quantity. Therefore, subtraction fits the description of the process of taking away.

8. 6 x 65 =

390

380

The correct answer is 390 because when you multiply 6 by 65, you get the product of 390.

Explanation

The correct answer is 390 because when you multiply 6 by 65, you get the product of 390.

9. It is always less than the divisor.

Dividend

Remainder

The remainder is always less than the divisor because it represents the amount left over after dividing the dividend by the divisor. In division, the divisor is the number by which the dividend is divided, and the remainder is the amount that is left over. Since the remainder is the part that is not evenly divisible by the divisor, it will always be smaller than the divisor itself.

Explanation

The remainder is always less than the divisor because it represents the amount left over after dividing the dividend by the divisor. In division, the divisor is the number by which the dividend is divided, and the remainder is the amount that is left over. Since the remainder is the part that is not evenly divisible by the divisor, it will always be smaller than the divisor itself.

10. The product of two numbers is 100. Their difference is 15. What are the two numbers?

25 and 10

20 and 5

The question states that the product of two numbers is 100 and their difference is 15. To find the two numbers, we need to find two numbers whose product is 100 and whose difference is 15. The only pair of numbers that satisfies these conditions is 20 and 5. The product of 20 and 5 is 100, and their difference is 15. Therefore, the two numbers are 20 and 5.

Explanation

The question states that the product of two numbers is 100 and their difference is 15. To find the two numbers, we need to find two numbers whose product is 100 and whose difference is 15. The only pair of numbers that satisfies these conditions is 20 and 5. The product of 20 and 5 is 100, and their difference is 15. Therefore, the two numbers are 20 and 5.

11. Which multiplication is less than 2,210?

32 x 65

30 x 81

To determine which multiplication is less than 2,210, let's calculate both:

32×65=2,080

30×81=2,430

Therefore, 32×6532×65 is less than 2,210, making it the answer.

Explanation

To determine which multiplication is less than 2,210, let's calculate both:

32×65=2,080

30×81=2,430

Therefore, 32×6532×65 is less than 2,210, making it the answer.

12. Paul and Liza went shopping. They spent a total of 6,475 pesos. If Liza spent 1,895 pesos, how much did Paul spend shopping?

4,580 pesos

5,000 pesos

Since Liza spent 1,895 pesos and the total amount spent by both Paul and Liza is 6,475 pesos, we can subtract Liza's amount from the total to find out how much Paul spent. Therefore, Paul spent 6,475 - 1,895 = 4,580 pesos.

Explanation

Since Liza spent 1,895 pesos and the total amount spent by both Paul and Liza is 6,475 pesos, we can subtract Liza's amount from the total to find out how much Paul spent. Therefore, Paul spent 6,475 - 1,895 = 4,580 pesos.

13. It is the process of putting together sets of the same number.

Division

Multiplication

Multiplication is the correct answer because it involves the process of combining sets of the same number. In multiplication, you are essentially adding the same number repeatedly, which can be thought of as putting together sets of the same number. Division, on the other hand, involves splitting a number into equal parts, which is not the same as putting together sets of the same number.

Explanation

Multiplication is the correct answer because it involves the process of combining sets of the same number. In multiplication, you are essentially adding the same number repeatedly, which can be thought of as putting together sets of the same number. Division, on the other hand, involves splitting a number into equal parts, which is not the same as putting together sets of the same number.

14. The words "rows of" mean...

Multiplication

Division

The words "rows of" indicate a multiplication operation. Multiplication involves combining equal groups or quantities, and the term "rows of" suggests that there are multiple sets or groups being multiplied together. In multiplication, the number of rows represents the number of groups or sets, and the number of items in each row represents the quantity in each group. Therefore, the correct answer is multiplication.

Explanation

The words "rows of" indicate a multiplication operation. Multiplication involves combining equal groups or quantities, and the term "rows of" suggests that there are multiple sets or groups being multiplied together. In multiplication, the number of rows represents the number of groups or sets, and the number of items in each row represents the quantity in each group. Therefore, the correct answer is multiplication.

15. What is the estimated product of 4,857 and 23?

10,000

100,000

The estimated product of 4,857 and 23 is 100,000. This is because when estimating the product, we round the numbers to the nearest ten or hundred and then multiply them. In this case, rounding 4,857 to the nearest thousand gives us 5,000, and rounding 23 to the nearest ten gives us 20. Multiplying 5,000 and 20 gives us 100,000, which is the estimated product.

Explanation

The estimated product of 4,857 and 23 is 100,000. This is because when estimating the product, we round the numbers to the nearest ten or hundred and then multiply them. In this case, rounding 4,857 to the nearest thousand gives us 5,000, and rounding 23 to the nearest ten gives us 20. Multiplying 5,000 and 20 gives us 100,000, which is the estimated product.

16. What is the greatest remainder if the divisor is 7?

6

4

5

1

The greatest remainder that can be obtained when dividing any number by 7 is 6. This means that when any number is divided by 7, the remainder will never be greater than 6.

Explanation

The greatest remainder that can be obtained when dividing any number by 7 is 6. This means that when any number is divided by 7, the remainder will never be greater than 6.

17. Which has the least difference?

47.4 - 14.5

47.7 - 15.9

The given question asks for the option with the least difference. To find the difference, we subtract the smaller number from the larger one. In the first option, the difference is 32.9, while in the second option, the difference is 31.8. Therefore, the second option (47.7 - 15.9) has the least difference.

Explanation

The given question asks for the option with the least difference. To find the difference, we subtract the smaller number from the larger one. In the first option, the difference is 32.9, while in the second option, the difference is 31.8. Therefore, the second option (47.7 - 15.9) has the least difference.

18. What is the estimated quotient of 560 by 11?

58

50

The estimated quotient of 560 divided by 11 is approximately 50.

To estimate this, you can round 560 down to the nearest multiple of 11, which is 550. Then, divide 550 by 11, and you get 50. This is a rough approximation, and the exact quotient is 560 divided by 11 equals 50.909090... (repeating).

Explanation

The estimated quotient of 560 divided by 11 is approximately 50.

To estimate this, you can round 560 down to the nearest multiple of 11, which is 550. Then, divide 550 by 11, and you get 50. This is a rough approximation, and the exact quotient is 560 divided by 11 equals 50.909090... (repeating).