PUPCET Mathematics — Ratio & ProportionConcept Map
For visual learners attacking the PUPCET 2026, a Ratio & Proportion concept map is usually worth more than ten pages of linear notes. PUP builds many Ratio & Proportion items around the same handful of relationships — spot them on a map and you recognise them at a glance in the Mathematics paper.
Exam context
The Polytechnic University of the Philippines College Entrance Test is conducted by Polytechnic University of the Philippines and is scheduled for Q3 2026 (expected). The Mathematics subtest is marked as "Core section" in the official pattern, and Ratio & Proportion appears in position 2nd of 9 in the PUPCET Mathematics review rotation. Passing mark: Varies by programme and campus. Recent PUPCET 2026 papers have drawn roughly a meaningful share of questions from this subject.
Ratio & Proportion - Concept map
Central Concept
Ratio & Proportion
Related Concepts
Concept
Ratio Fundamentals
Sub Concepts
- Definition and notation (a:b, a/b, a to b)
- Simplification techniques
- Continued ratios (a:b:c)
- Unit consistency
Relationship To Central
Foundation concept - basic building block
Concept
Proportion Theory
Sub Concepts
- Equal ratios statement
- Cross-product rule
- Finding missing terms
- Verification methods
Relationship To Central
Core mathematical relationship
Concept
Types of Proportions
Sub Concepts
- Direct proportion (y = kx)
- Inverse proportion (xy = k)
- Identification strategies
- Real-world applications
Relationship To Central
Classification of relationships
Concept
Problem-Solving Applications
Sub Concepts
- Partitive proportion
- Scale and maps
- Mixtures and solutions
- Speed-time-distance problems
Relationship To Central
Practical implementation
Concept
UPCAT Strategies
Sub Concepts
- Common traps identification
- Answer verification
- Time-saving shortcuts
- Pattern recognition
Relationship To Central
Exam-specific techniques
Concept Connections
To
Proportion Theory
From
Ratio Fundamentals
Strength
strong
Relationship
Ratios are the building blocks that form proportions when set equal
To
Problem-solving applications
From
Cross-product rule
Strength
strong
Relationship
Cross-product is the primary tool used to solve all proportion problems
To
Inverse proportion
From
Direct proportion
Strength
moderate
Relationship
Opposite types of relationships that require different solution approaches
To
Continued ratios
From
Partitive proportion
Strength
strong
Relationship
Partitive problems often involve splitting totals using continued ratios
To
UPCAT strategies
From
Simplification techniques
Strength
moderate
Relationship
Simplifying ratios early prevents calculation errors in exam conditions
To
Common traps
From
Unit consistency
Strength
strong
Relationship
Unit mismatch is one of the most frequent UPCAT traps in ratio problems
To
Proportion theory
From
Percentage problems
Strength
moderate
Relationship
Percentages are special cases of ratios with base 100
To
Answer checking
From
Verification methods
Strength
moderate
Relationship
Systematic verification prevents common arithmetic mistakes
Previous chapter
Arithmetic — Multiples, Factors, PEMDAS, Fractions & Decimals
Next chapter
Algebra — Sets, Exponents, Radicals, Polynomials & Equations
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