PNPAE Mathematics — Ratio & ProportionConcept Map
Concept maps are proven memory anchors for high-volume exams like PNPAE. This page maps out the key ideas of Ratio & Proportion, the sub-topics that appear on PNPAE Mathematics papers, and the connections Philippine National Police Academy frequently tests in mixed-concept questions.
Exam context
For the Philippine National Police Academy Entrance Examination, Philippine National Police Academy tests Mathematics under a "Core" label, with Ratio & Proportion in the 2nd slot across 9 chapters. PNPAE candidates must clear the Top scorers meeting regional quotas cut on the 2026 paper, which draws about a meaningful share of Mathematics questions. Date to watch: Q3 2026 (expected).
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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