PiCAT Math Knowledge Practice Test 2024

Last Updated on May 23, 2024

PiCAT Math Knowledge Practice Test 2024: Try our free Prescreen Internet Computerized Adaptive Test (PiCAT) US Armed Forces Math Knowledge review questions and answers. You can also download PiCAT Math Knowledge Practice Test in PDF.

This is a test of your ability to solve 16 general mathematical problems. You are to select the correct response from the choices given. Use scratch paper to do any figuring.

PiCAT Math Knowledge Practice Test 2024

Q1. If 30 is divided by .06, the result is

• A. 5
• B. 50
• C. 500
• D. 5,000

Q2. 36 yards and 12 feet divided by 3 =

• A. 40 feet
• B. 124 feet
• C. 28 yards
• D. 32 yards

Q3. The cube of 4 is

• A. 12
• B. 32
• C. 64
• D. 128

Q4. In the formula l = p + prt, what does l equal when p = 500, r = 20%, t= 2?

• A. 10,000
• B. 700
• C. 8,000
• D. 12,000

Q5. (x + 3)(x + 3) =

• A. x² + 9x + 6
• B. x² + 9x + 9
• C. x² + 6x + 6
• D. x² + 6x + 9

Q6. 2.4 × 10⁴ =

• A. 9,600
• B. 2,400
• C. 24,000
• D. 240,000

Q7. x² × x³ =

• A. x⁶
• B. x⁵
• C. 2x⁶
• D. 2x⁵

Q8. In the figure, m ∠AOB = 60°. If O is the center of the circle, then minor arc AB is what part of the circumference of the circle?

• A.   \frac12
• B.   \frac13
• C.   \frac16
• D.   \frac18

Q9. In a bag there are red, green, black, and white marbles. If there are 6 red, 8 green, 4 black, and 12 white and one marble is to be selected at random, what is the probability it will be white?

• A.   \frac15
• B.   \frac25
• C. \frac{4}{15}
• D.   \frac{2}{15}

Q10. A man has T dollars to invest; after he invests $1,000, how much money does he have remaining?

• A. T + 1,000
• B. T – 1,000
• C. 1,000 – T
• D. 1,000T

Q11. A rectangular field is 900 yards by 240 yards. What is the greatest number of rectangular lots 120 yards by 60 yards that it can be divided into?

• A. 20
• B. 60
• C. 30
• D. 40

Q12. 14. If a = 3, then a ^a · a =

• A. 9
• B. 51
• C. 18
• D. 81

Q13. A cube has a volume of 27 cubic inches. What is the surface area?

• A. 18 square inches
• B. 36 square inches
• C. 45 square inches
• D. 54 square inches

Q14. (10³)2 =

• A. 106
• B. 109
• C. 206
• D. 209

Q15. The sum of the measure of the angles of a pentagon is

• A. 540°
• B. 720°
• C. 900°
• D. 1,080°

Q16. 8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1. Therefore, 4! =

• A. 44
• B. 32
• C. 42
• D. 24