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100+ Free UPCAT Practice Questions

University of the Philippines College Admission Test (UPCAT) practice questions are available now; exam metadata is being verified.

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Key Facts: UPCAT Exam

The UPCAT is an approximately five-hour entrance exam with four subtests: Language Proficiency, Reading Comprehension, Mathematics, and Science. Admission uses the UPG, which combines standardized UPCAT results with the composite of final Grades 8 to 11; UP does not publish a fixed universal cutoff or 60/40 formula in the current public bulletin.

Sample UPCAT Practice Questions

Try these sample questions to test your UPCAT exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1If 3x - 7 = 2x + 5, what is the value of x?
A.12
B.2
C.-12
D.6
Explanation: Collect the x-terms on one side: 3x - 2x = 5 + 7, so x = 12. Substituting back, 3(12) - 7 = 29 and 2(12) + 5 = 29, confirming the solution.
2What is the value of 2^5 - 3^2?
A.16
B.23
C.32
D.1
Explanation: Evaluate the powers first following the order of operations: 2^5 = 32 and 3^2 = 9. Then 32 - 9 = 23.
3A shirt originally priced at PHP 800 is sold at a 25% discount. What is the sale price?
A.PHP 775
B.PHP 1000
C.PHP 600
D.PHP 200
Explanation: A 25% discount means the buyer pays 75% of the price: 0.75 x 800 = 600. Equivalently, the discount is 0.25 x 800 = 200, and 800 - 200 = 600.
4Factor completely: x^2 - 9.
A.(x - 3)^2
B.(x - 9)(x + 1)
C.(x + 3)^2
D.(x - 3)(x + 3)
Explanation: The expression is a difference of two squares, x^2 - 3^2, which factors as (x - 3)(x + 3). Expanding (x - 3)(x + 3) gives x^2 - 9, confirming the result.
5What is the slope of the line passing through the points (1, 2) and (4, 11)?
A.3
B.1/3
C.9
D.-3
Explanation: Slope equals the change in y over the change in x: (11 - 2) / (4 - 1) = 9 / 3 = 3. The line rises 3 units for every 1 unit moved to the right.
6Solve for x: 2(x + 3) = 4x - 2.
A.2
B.4
C.-4
D.1
Explanation: Distribute on the left: 2x + 6 = 4x - 2. Subtract 2x from both sides and add 2: 8 = 2x, so x = 4. Checking, 2(4 + 3) = 14 and 4(4) - 2 = 14.
7The angles of a triangle are in the ratio 2:3:4. What is the measure of the largest angle?
A.60 degrees
B.90 degrees
C.80 degrees
D.40 degrees
Explanation: The angle sum of a triangle is 180 degrees. The ratio parts total 2 + 3 + 4 = 9, so each part is 180/9 = 20 degrees. The largest angle is 4 x 20 = 80 degrees.
8A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?
A.14
B.48
C.7
D.10
Explanation: By the Pythagorean theorem, the hypotenuse c satisfies c^2 = 6^2 + 8^2 = 36 + 64 = 100, so c = 10. This is the well-known 6-8-10 right triangle.
9What is the area of a circle with radius 7? (Use pi approximately 22/7.)
A.154
B.44
C.49
D.22
Explanation: The area of a circle is pi times r squared: (22/7)(7^2) = (22/7)(49) = 22 x 7 = 154 square units.
10If f(x) = 2x^2 - 3x + 1, what is f(2)?
A.11
B.3
C.-1
D.5
Explanation: Substitute x = 2: f(2) = 2(2)^2 - 3(2) + 1 = 2(4) - 6 + 1 = 8 - 6 + 1 = 3.

About the UPCAT Practice Questions

Verified exam format metadata for University of the Philippines College Admission Test (UPCAT) is pending. The practice questions above remain available while official exam length, timing, passing score, fee, and administrator details are reviewed.