AFCT Mathematical Aptitude

Question 1

What is the value of 8 + 3 × 5?

Accepted Answer

23

Answer

To solve 8 + 3 × 5, the order of operations (PEMDAS/BODMAS) must be followed, which dictates that multiplication takes precedence over addition. First, calculate 3 × 5, which equals 15. Then, add 8 to 15, resulting in a final value of 23.

Question 2

If a rectangle has a length of 12 meters and a width of 7 meters, what is its area?

Accepted Answer

84

Answer

The area of a rectangle is calculated by multiplying its length by its width. For a rectangle with a length of 12 meters and a width of 7 meters, the area is found by multiplying 12 × 7. This calculation yields an area of 84 square meters.

Question 3

Solve for x: 4x - 7 = 9

Accepted Answer

x = 4

Answer

To solve the equation 4x - 7 = 9 for x, first add 7 to both sides of the equation to isolate the term with x, which gives 4x = 16. Next, divide both sides by 4 to find the value of x. This results in x = 4.

Question 4

What is the value of 5² - 6 × 3 + 2?

Accepted Answer

9

Answer

To solve 5² - 6 × 3 + 2, follow the order of operations (PEMDAS/BODMAS). First, calculate the exponent: 5² = 25. Next, perform the multiplication: 6 × 3 = 18. The expression becomes 25 - 18 + 2. Finally, perform subtraction and addition from left to right: 25 - 18 = 7, and 7 + 2 = 9.

Question 5

A car travels 180 miles in 3 hours. What is the average speed of the car?

Accepted Answer

60 mph

Answer

Average speed is calculated by dividing the total distance traveled by the total time taken. In this scenario, the car travels 180 miles in 3 hours. Dividing 180 miles by 3 hours gives an average speed of 60 miles per hour (mph).

(AFCT) Armed Forces Classification Test Practice Test

(AFCT) Armed Forces Classification Test Practice Test

AFCT Mathematical Aptitude