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. x
^{2}+ 9x + 6 - B. x
^{2}+ 9x + 9 - C. x
^{2}+ 6x + 6 - D. x
^{2}+ 6x + 9

**Q6**. 2.4 × 10^{4} =

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

**Q7.** x^{2} × x^{3} =

- A. x
^{6} - B. x
^{5} - C. 2x
^{6} - D. 2x
^{5}

**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.** (10^{3})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

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