PUPCET Mathematics — Word Problems — Number, Age, Work, Motion, Mixture, InvestmentConcept Map
A visual concept map is the fastest way to remember how Word Problems — Number, Age, Work, Motion, Mixture, Investment connects to the rest of PUPCET Mathematics. This page shows the key concepts, sub-topics, and relationships you need to anchor in memory before sitting for the PUPCET 2026.
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 Word Problems — Number, Age, Work, Motion, Mixture, Investment appears in position 4th 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.
Word Problems — Number, Age, Work, Motion, Mixture, Investment - Concept map
Central Concept
Word Problem Solving
Related Concepts
Concept
Problem-Solving Strategy
Sub Concepts
- Read thoroughly
- Represent with variables
- Relate variables
- Equate using facts
- Solve equations
- Prove answers
Relationship To Central
foundational methodology
Concept
Translation Skills
Sub Concepts
- Addition phrases
- Subtraction phrases
- Multiplication phrases
- Division phrases
- Equality phrases
Relationship To Central
essential skill for converting words to math
Concept
Number Problems
Sub Concepts
- Simple numbers
- Consecutive integers
- Digit problems
- Mathematical expressions
Relationship To Central
basic application type
Concept
Age Problems
Sub Concepts
- Present ages
- Past ages
- Future ages
- Age relationships
- Time tables
Relationship To Central
time-based application
Concept
Work Problems
Sub Concepts
- Individual work rates
- Combined work rates
- Work = Rate × Time
- Fractions of work
Relationship To Central
rate-based application
Concept
Motion Problems
Sub Concepts
- Distance = Velocity × Time
- Meeting problems
- Overtaking problems
- Opposite directions
Relationship To Central
distance-based application
Concept
Mixture Problems
Sub Concepts
- Solutions and solvents
- Percentage concentrations
- Dilution
- Mixing different concentrations
Relationship To Central
concentration-based application
Concept
Investment Problems
Sub Concepts
- Simple interest
- Principal and rate
- Interest = P × R × T
- Multiple investments
Relationship To Central
interest-based application
Concept Connections
To
All Problem Types
From
Problem-Solving Strategy
Strength
strong
Relationship
universal methodology applies to
To
Problem-Solving Strategy
From
Translation Skills
Strength
strong
Relationship
essential component of
To
Motion Problems
From
Work Problems
Strength
moderate
Relationship
similar rate-time relationships
To
Number Problems
From
Age Problems
Strength
moderate
Relationship
both use linear equations
To
Investment Problems
From
Mixture Problems
Strength
moderate
Relationship
both use percentage calculations
To
Simple Numbers
From
Consecutive Integers
Strength
strong
Relationship
specialized type of
To
Work Rate Formula
From
Distance Formula
Strength
weak
Relationship
analogous mathematical structure
To
Percentage Concentrations
From
Interest Formula
Strength
weak
Relationship
both involve rate calculations
Previous chapter
Algebra — Sets, Exponents, Radicals, Polynomials & Equations
Next chapter
Geometry — Lines, Angles, Polygons, Triangles & Circles
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