[ AFPSAT 13 ] Armed Forces of the Philippines Service Aptitude Test Reviewer XIII

Armed Forces of the Philippines Service Aptitude Test Reviewer - Math

Instructions:

Please answer each question to the best of your ability. Each question is multiple choice, and only one answer per question is correct. Select the most appropriate answer from the options provided. There are 20 questions in total.

When you have completed all questions, click the "Submit" button at the bottom of the page to see your score. Good luck!

1. Simplify: \( 2x + 3x - 5 \)

A) \( 5x - 5 \)
B) \( 2x - 5 \)
C) \( x - 5 \)
D) \( 6x - 5 \)

2. Solve for \( x \): \( 5x - 7 = 18 \)

A) 6
B) 5
C) 4
D) 3

3. If a rectangle has a length of 8 meters and a width of 3 meters, what is its area?

A) 24 sq. meters
B) 20 sq. meters
C) 24 sq. meters
D) 12 sq. meters

4. What is the slope of the line given by the equation \( y = 3x + 7 \)?

A) -3
B) 7
C) 0
D) 3

5. Evaluate: \( 7^2 - 4^2 \)

A) 33
B) 24
C) 49
D) 16

6. Solve for \( x \) in \( 2x^2 = 8 \)

A) 3
B) 2
C) 1
D) 0

7. Find the value of \( x \) in the equation \( 4(x - 1) = 12 \).

A) 4
B) 3
C) 5
D) 6

8. What is the derivative of \( f(x) = 3x^2 \)?

A) 6x
B) 3x
C) 6
D) 9x

9. Simplify: \( (2x)(3x^2) \)

A) \( 5x^3 \)
B) \( 2x^3 \)
C) \( 6x^3 \)
D) \( 12x^3 \)

10. Solve: \( 3x + 5 = 14 \)

A) 2
B) 3
C) 4
D) 5

11. What is the value of \( \sqrt{81} + \sqrt{16} \)?

A) 8
B) 10
C) 13
D) 9

12. If \( f(x) = 2x - 4 \), what is \( f(5) \)?

A) 6
B) 10
C) 0
D) -6

13. Find the next number in the sequence: \( 3, 6, 12, 24, ? \).

A) 30
B) 48
C) 36
D) 54

14. Solve: \( \frac{5}{x} = 10 \)

A) 1
B) 3
C) 0.5
D) 2

15. If \( x^2 - 16 = 0 \), solve for \( x \).

A) 2
B) ±4
C) ±2
D) 4

16. The area of a triangle is \( \frac{1}{2} \times \text{base} \times \text{height} \). If the base is 8 and the height is 10, what is the area?

A) 40
B) 80
C) 20
D) 50

17. What is the sum of the first five prime numbers?

A) 20
B) 24
C) 28
D) 32

18. Simplify: \( (x^3)(x^2) \)

A) \( x^5 \)
B) \( x^6 \)
C) \( x^2 \)
D) \( x^3 \)

19. What is the value of \( 5! \) (5 factorial)?

A) 50
B) 100
C) 120
D) 125

20. If \( 3x + 7 = 19 \), what is the value of \( x \)?

A) 4
B) 6
C) 8
D) 5

Result

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