Naep Mathematics Grade 8

1) What is the multiple of 3 and 5?

14

13

12

15

The number 15 is a multiple of both 3 and 5 because it can be divided evenly by both numbers without leaving a remainder.

Explanation

The number 15 is a multiple of both 3 and 5 because it can be divided evenly by both numbers without leaving a remainder.

2) Which of these is an even number?

1

2

3

5

The number 2 is an even number because it is divisible by 2 without leaving a remainder. Even numbers are those that can be divided by 2, while odd numbers cannot be divided by 2 without leaving a remainder.

Explanation

The number 2 is an even number because it is divisible by 2 without leaving a remainder. Even numbers are those that can be divided by 2, while odd numbers cannot be divided by 2 without leaving a remainder.

3) What is the square root of 81?

7

1

9

8

The square root of a number is a value that, when multiplied by itself, gives the original number. In this case, the square root of 81 is 9 because 9 multiplied by itself equals 81.

Explanation

The square root of a number is a value that, when multiplied by itself, gives the original number. In this case, the square root of 81 is 9 because 9 multiplied by itself equals 81.

4) What is the sum of 25 and 13?

36

38

33

37

The sum of 25 and 13 is 38.

Explanation

The sum of 25 and 13 is 38.

5) Which of these is not a factor of 12?

3

4

5

6

The number 5 is not a factor of 12 because a factor of a number is a whole number that divides evenly into that number without leaving a remainder. When we divide 12 by 5, we get a remainder of 2, which means that 5 is not a factor of 12.

Explanation

The number 5 is not a factor of 12 because a factor of a number is a whole number that divides evenly into that number without leaving a remainder. When we divide 12 by 5, we get a remainder of 2, which means that 5 is not a factor of 12.

6) What is the cube root of 64?

7

5

3

4

The cube root of a number is the value that, when multiplied by itself three times, gives the original number. In this case, the cube root of 64 is 4 because 4 multiplied by itself three times equals 64.

Explanation

The cube root of a number is the value that, when multiplied by itself three times, gives the original number. In this case, the cube root of 64 is 4 because 4 multiplied by itself three times equals 64.

7) What is the product of 5 and 6 divided by 10?

1

2

3

4

To find the product of 5 and 6 divided by 10, we first multiply 5 and 6, which equals 30. Then we divide 30 by 10, resulting in 3. Therefore, the correct answer is 3.

Explanation

To find the product of 5 and 6 divided by 10, we first multiply 5 and 6, which equals 30. Then we divide 30 by 10, resulting in 3. Therefore, the correct answer is 3.

8) Which of these is an prime number?

12

13

14

15

A prime number is a number that is only divisible by 1 and itself. Out of the given options, only 13 satisfies this condition. 12 is divisible by 1, 2, 3, 4, 6, and 12. 14 is divisible by 1, 2, 7, and 14. 15 is divisible by 1, 3, 5, and 15. Therefore, the only prime number among the options is 13.

Explanation

A prime number is a number that is only divisible by 1 and itself. Out of the given options, only 13 satisfies this condition. 12 is divisible by 1, 2, 3, 4, 6, and 12. 14 is divisible by 1, 2, 7, and 14. 15 is divisible by 1, 3, 5, and 15. Therefore, the only prime number among the options is 13.

9) Which of these is a perfect square?

14

12

16

10

16 is a perfect square because it is the square of 4. A perfect square is a number that can be expressed as the product of two equal integers. In this case, 16 can be expressed as 4 multiplied by itself, which equals 16. Therefore, 16 is a perfect square.

Explanation

16 is a perfect square because it is the square of 4. A perfect square is a number that can be expressed as the product of two equal integers. In this case, 16 can be expressed as 4 multiplied by itself, which equals 16. Therefore, 16 is a perfect square.

10) Which of these is a prime number?

5

2

6

8

A prime number is a number that is only divisible by 1 and itself. In this case, 5 is the only option that satisfies this condition. 2 is also a prime number, but it is not given as an option. 6 and 8 are not prime numbers because they are divisible by numbers other than 1 and themselves. Therefore, the correct answer is 5.

Explanation

A prime number is a number that is only divisible by 1 and itself. In this case, 5 is the only option that satisfies this condition. 2 is also a prime number, but it is not given as an option. 6 and 8 are not prime numbers because they are divisible by numbers other than 1 and themselves. Therefore, the correct answer is 5.