All Practice Exams
Free Practice Questions for UES Conocimiento General
Exam-style questions and explanations by OpenExamPrep.
✓ No registration✓ No credit card
60+ Questions
100% Free
Loading practice questions...
Same family resources
Explore More Latin America University Entrance Exams
Continue into nearby exams from the same family. Each card keeps practice questions, study guides, flashcards, videos, and articles in one place.
Sample UES Conocimiento General Practice Questions
Try these sample questions to review concepts for the UES Conocimiento General exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 60+ question experience with AI tutoring.
1What is the completely factored form of 9x^2 - 25?
A.(3x - 5)(3x + 5)
B.(3x - 5)^2
C.(9x - 5)(x + 5)
D.(3x + 5)^2
Explanation: Write the expression as (3x)^2 - 5^2. The difference-of-squares identity a^2 - b^2 = (a - b)(a + b) then gives (3x - 5)(3x + 5).
2Solve 5(2x - 3) = 3(x + 2) + 7.
A.x = 4
B.x = 2
C.x = -2
D.x = 14/5
Explanation: Expand to obtain 10x - 15 = 3x + 13. Collecting terms gives 7x = 28, so x = 4; substituting yields 25 on both sides.
3What is the distance between A(1, -2) and B(4, 2)?
A.5 units
B.7 units
C.sqrt(7) units
D.25 units
Explanation: The coordinate differences are 3 and 4. The distance is sqrt(3^2 + 4^2) = sqrt(25) = 5 units.
4What is tan(45 degrees) + cos(60 degrees)?
A.3/2
B.1/2
C.1 + sqrt(3)/2
D.2
Explanation: The special-angle values are tan(45 degrees) = 1 and cos(60 degrees) = 1/2. Their sum is 3/2.
5What is the real domain of f(x) = 1/(2x - 10)?
A.All real numbers except 5
B.All real numbers greater than 5
C.All real numbers except -5
D.All real numbers
Explanation: A denominator cannot equal zero. Since 2x - 10 = 0 at x = 5, that is the only excluded real number.
6Three adult passes and four student passes cost USD 31 in total. An adult pass costs USD 1 more than a student pass. What are the two prices?
A.Adult USD 5; student USD 4
B.Adult USD 4; student USD 5
C.Adult USD 7; student USD 2
D.Adult USD 6; student USD 3
Explanation: Let s be the student price, so the adult price is s + 1. Then 3(s + 1) + 4s = 31 gives 7s = 28, hence student USD 4 and adult USD 5.
7What are the real roots of 2x^2 - 5x - 3 = 0?
A.x = 3 and x = -1/2
B.x = -3 and x = 1/2
C.x = 1 and x = -3/2
D.x = 5/2 and x = -3
Explanation: The polynomial factors as (2x + 1)(x - 3). Setting each factor to zero gives x = -1/2 and x = 3.
8Which parabola has vertex (0,0) and focus (0,3)?
A.x^2 = 12y
B.y^2 = 12x
C.x^2 = 3y
D.y^2 = 3x
Explanation: A focus at (0,p) gives a vertical parabola x^2 = 4py. Here p = 3, so x^2 = 12y.
9Given f(x) = 2x + 3 and g(x) = x^2 - 1, what is g(f(1))?
A.24
B.3
C.1
D.8
Explanation: First calculate f(1) = 5. Then use that output as the input to g: g(5) = 25 - 1 = 24.
10Simplify (1 - sin^2(theta))/cos(theta), assuming cos(theta) is nonzero.
A.cos(theta)
B.sin(theta)
C.sec(theta)
D.tan(theta)
Explanation: The Pythagorean identity gives 1 - sin^2(theta) = cos^2(theta). Dividing by the nonzero cos(theta) leaves cos(theta).
About the UES Conocimiento General Practice Questions
Check the official exam sponsor for the exam format, time limit, passing standard, fees, and eligibility requirements. These details are not yet confirmed here.