[ DOST 16 ] DOST SCHOLARSHIP EXAM REVIEWER XVI

2025 DOST Scholarship Reviewer - Mathematics

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 40 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. What is the value of 7 + 5?

A) 10
B) 12
C) 15
D) 14

2. What is the area of a rectangle with a length of 10 and a width of 4?

A) 40
B) 14
C) 30
D) 24

3. What is the result of 15 divided by 3?

A) 5
B) 7
C) 3
D) 8

4. What is the perimeter of a square with a side length of 6?

A) 24
B) 20
C) 36
D) 12

5. What is the value of 2^3?

A) 4
B) 6
C) 8
D) 10

6. What is the slope of the line defined by the equation y = 2x + 3?

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

7. What is the value of (3 + 5) × 2?

A) 10
B) 16
C) 12
D) 14

8. What is the value of the square root of 81?

A) 9
B) 8
C) 7
D) 10

9. If x = 4, what is the value of 3x + 2?

A) 14
B) 14
C) 18
D) 12

10. What is the least common multiple (LCM) of 4 and 6?

A) 12
B) 24
C) 18
D) 30

11. What is the sum of the interior angles of a triangle?

A) 90°
B) 180°
C) 270°
D) 360°

12. What is the median of the following set of numbers: 3, 1, 4, 2, 5?

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

13. What is the value of 9 - 4 × 2?

A) 1
B) 13
C) 5
D) 3

14. What is 15% of 200?

A) 25
B) 30
C) 45
D) 50

15. If a circle has a radius of 3, what is its circumference? (Use π ≈ 3.14)

A) 18.84
B) 9.42
C) 12.56
D) 6.28

16. What is the value of 100 ÷ 5?

A) 15
B) 20
C) 25
D) 40

17. What is the value of 4 + 3 × 2?

A) 10
B) 14
C) 12
D) 16

18. What is the probability of rolling a 3 on a six-sided die?

A) 1/6
B) 1/3
C) 1/2
D) 1/4

19. What is 7! (7 factorial)?

A) 5040
B) 720
C) 120
D) 60

20. What is 2 + 2 × 2?

A) 6
B) 8
C) 4
D) 2

21. Solve for x: 2x^2 - 5x - 3 = 0

A) x = -1, x = 3/2
B) x = -1/2, x = 3
C) x = 1, x = -3/2
D) x = 1/2, x = -3

22. Simplify the expression: (x^2 - 4) / (x + 2)

A) x + 2
B) x - 2
C) x^2 - 2
D) x + 4

23. Find the vertex of the parabola defined by the equation y = x^2 - 4x + 3

A) (2, -1)
B) (2, -1)
C) (-2, 3)
D) (-2, -1)

24. Solve the system of equations: 2x + y = 5 and x - 2y = -1

A) x = 2, y = 1
B) x = 2, y = 1
C) x = -1, y = 3
D) x = 1, y = -2

25. Simplify the expression: √(16x^4y^6)

A) 4x^2y^3
B) 4x^2y^3
C) 4xy^3
D) 16x^2y^3

26. Solve for x: |x - 3| = 5

A) x = 8 only
B) x = -2 only
C) x = 8 or x = -2
D) No solution

27. Find the domain of the function f(x) = 1 / (x^2 - 9)

A) All real numbers
B) All real numbers except x = 3 and x = -3
C) All real numbers except x = 9
D) All real numbers except x = 0

28. Solve for x: log2(x + 1) = 3

A) x = 7
B) x = 7
C) x = 1
D) x = 3

29. Find the inverse of the function f(x) = 2x - 1

A) f^-1(x) = x + 1/2
B) f^-1(x) = (x + 1)/2
C) f^-1(x) = 2x + 1
D) f^-1(x) = (x - 1)/2

30. Simplify the expression: (x^3 + 8) / (x + 2)

A) x^2 - 2x + 4
B) x^2 - 2x + 4
C) x^2 + 2x + 4
D) x^3 - 2x + 4

31. Solve for x: 3^(x+1) = 27

A) x = 1
B) x = 2
C) x = 3
D) x = 4

32. Find the equation of the line that passes through the points (1, 2) and (3, 6)

A) y = 2x
B) y = 2x
C) y = x + 1
D) y = 3x - 1

33. Solve for x: √(x + 2) = 4

A) x = 14
B) x = 14
C) x = 2
D) x = 16

34. Simplify the expression: (x^2 + 5x + 6) / (x^2 - 4)

A) (x + 3) / (x - 2)
B) (x + 3) / (x - 2)
C) (x + 2) / (x - 3)
D) (x - 3) / (x + 2)

35. Solve for x: (x - 1) / (x + 2) = 2

A) x = -5
B) x = -5
C) x = 3
D) x = -1

36. Find the equation of the circle with center (2, -3) and radius 5

A) (x - 2)^2 + (y + 3)^2 = 25
B) (x - 2)^2 + (y + 3)^2 = 25
C) (x + 2)^2 + (y - 3)^2 = 25
D) (x - 2)^2 + (y - 3)^2 = 5

37. Solve for x: 2^(2x - 1) = 8

A) x = 1
B) x = 2
C) x = 3
D) x = 4

38. Find the sum of the infinite geometric series: 1 + 1/2 + 1/4 + 1/8 + ...

A) 1
B) 2
C) 3
D) 4

39. Solve for x: log3(x) + log3(x - 2) = 1

A) x = 3
B) x = 3
C) x = 1
D) x = 2

40. Simplify the expression: (x^2 - y^2) / (x - y)

A) x - y
B) x + y
C) x^2 + y^2
D) x^2 - y^2

Result

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