ASVAB Mathematics Knowledge Test 1

Question 1

The volume of this box is

Accepted Answer

60 cm^3<\/sup>

Answer

To calculate the volume of a rectangular box (or cuboid), you multiply its length, width, and height. Assuming the dimensions shown in the image (not provided here) are 5 cm, 4 cm, and 3 cm, the volume would be 5 cm * 4 cm * 3 cm. This calculation yields 60 cm³.

Question 2

If n is a positive integer divisible by 7, and if n < 70, what is the greatest possible value of n?

Accepted Answer

63

Answer

We are looking for the largest positive integer 'n' that is a multiple of 7 and strictly less than 70. Listing the multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70. Since 'n' must be less than 70, the greatest possible value from this list is 63.

Question 3

Blair’s average (arithmetic mean) on two physics tests is 7. What should Blair’s score be on the next test to have an overall average of 8 for all the tests?

Accepted Answer

10

Answer

Blair's average of 7 on two tests means the sum of those two scores is 7 * 2 = 14. To have an overall average of 8 for three tests, the total sum of all three scores must be 8 * 3 = 24. Therefore, the score Blair needs on the third test is 24 - 14 = 10 to achieve the desired overall average.

Question 4

(4x + 2) (x + 1) =

Accepted Answer

4x^{2<\/sup> + 6x + 2}

Answer

To multiply these two binomials, use the FOIL method (First, Outer, Inner, Last). First: (4x)(x) = 4x². Outer: (4x)(1) = 4x. Inner: (2)(x) = 2x. Last: (2)(1) = 2. Combining these terms gives 4x² + 4x + 2x + 2, which simplifies to 4x² + 6x + 2.

Question 5

2 − 8 ÷ (2^{4<\/sup> ÷ 2) =}

Accepted Answer

1

Answer

Follow the order of operations (PEMDAS/BODMAS). First, calculate the exponent: 2⁴ = 16. Next, perform the division inside the parentheses: 16 ÷ 2 = 8. Now the expression is 2 − 8 ÷ 8. Perform the division: 8 ÷ 8 = 1. Finally, perform the subtraction: 2 − 1 = 1.

ASVAB - Armed Services Vocational Aptitude Battery Practice Test

ASVAB - Armed Services Vocational Aptitude Battery Practice Test

ASVAB Mathematics Knowledge Test 1