PUPCET Math Review: Topics That Show Up in the Free CET
PUPCET Math Review: Topics That Show Up in the Free CET
The Polytechnic University of the Philippines College Entrance Test (PUPCET) is the largest free college entrance exam in the country. About 80,000+ Senior High School graduates apply each cycle, with PUP admitting roughly 20,000-25,000 across the system.
PUPCET Math is one of the four major sub-tests (alongside English, Reading Comprehension, and Science). For STEM-track applicants, PUPCET Math should be a strength; for non-STEM strand applicants, it's the highest-leverage subtest to drill.
This post is the topic-by-topic plan that the PUPCET 2026 pillar guide hands off to.
What PUP actually asks
Approximate item distribution within the Math sub-test (~50 items):
| Topic block | Approx. items |
|---|---|
| Arithmetic operations + percentages | 8 |
| Algebra (linear, quadratic, word problems) | 18 |
| Geometry (triangles, circles, area/volume) | 10 |
| Trigonometry basics | 5 |
| Statistics + probability | 5 |
| Number theory | 4 |
PUPCET doesn't explicitly publish these proportions, but post-cycle analysis from review centres consistently puts algebra at roughly one-third of math items.
Algebra — the workhorse
Drill list:
- Linear equations in one and two variables, including word problems
- Quadratic equations: factoring, quadratic formula
- Systems of equations (2×2)
- Exponents and radicals
- Polynomial operations and factoring
- Linear inequalities
- Sequences and series basics
- Functions: domain, range, basic graph reading
PUPCET word problems typically need one of three setups: a system of two linear equations, a single quadratic, or a rate equation. Pattern recognition matters.
Geometry
Drill list:
- Triangle properties: angle sums, congruence, similarity, special right triangles (30-60-90, 45-45-90)
- Circle theorems: area, circumference, arc length, sector area
- Polygon properties: interior/exterior angle sums
- Coordinate geometry: distance, midpoint, slope, line equations
- Area and volume of common solids (prisms, cylinders, pyramids, cones, spheres)
- Pythagorean theorem applications
The 30-60-90 and 45-45-90 ratios appear nearly every cycle.
Trigonometry
PUPCET trig is mostly right-triangle ratios:
- SOH-CAH-TOA on right triangles
- Unit circle values for 0°, 30°, 45°, 60°, 90°
- Sine and cosine of complementary angles
- Pythagorean identity
- Angle of elevation/depression word problems
Skip the deep identities (sum-to-product, double-angle). They almost never appear.
Statistics + probability
- Mean, median, mode, range
- Reading bar charts, line graphs, pie charts
- Basic probability (single event)
- Basic counting (factorials, simple permutations)
Number theory
- Divisibility rules
- Prime factorisation
- GCD, LCM
- Percentages: increase/decrease, reverse percentage
- Ratios and proportions
An 8-week PUPCET Math drilling plan
Within a 12-week PUPCET review, allocate 4 weeks of focused Math attention plus 4 weeks of mixed mock + remediation.
| Week | Focus | Volume target |
|---|---|---|
| 1 | Arithmetic + percentages + algebra basics | 100 items |
| 2 | Algebra: word problems + systems + quadratic | 80 items |
| 3 | Geometry + trigonometry | 80 items |
| 4 | Statistics + number theory + mixed mock | 60 items + 1 mock |
Realistic Math scores
For a candidate running this plan:
| Diagnostic baseline | Realistic test-day score |
|---|---|
| 50% | 70% |
| 60% | 78% |
| 70% | 84% |
Where Super Tutor fits
Super Tutor's PUPCET track covers the math sub-test with item drilling sequenced by topic. Free tier opens algebra; the Focused plan (₱49/week, ₱249/month, ₱1,999/year) opens geometry, trig, and the mock cycle.
What to read next
The PUPCET 2026 pillar guide covers the full review. Other sub-test deep dives publish on a rolling basis.
Start your PUPCET review
Super Tutor covers PUPCET with an AI review plan tuned to your weak areas.
Related reading
Entrance Exams
PUPCET 2026 Reviewer: Format, Score Range, 60-Day Plan
PUPCET 2026 is October-onward in batches. ~50K applicants compete for PUP's NCR + branch campus slots. Here's the exam format, score ranges per programme, and a free 60-day prep plan that beats paid reviewers.
Entrance Exams
PUPCET Science Review: Bio, Chem, Physics, Earth Coverage
PUPCET Science skews conceptual rather than computational. Here's the topic-by-topic plan for biology, chemistry, physics, and earth science.
Entrance Exams
PUPCET English and Reading Comprehension Review
PUPCET English combines grammar with reading comprehension. Daily reading habit closes most gaps. Here's the focused plan for the 50-item sub-test.