UPCAT Mathematics — Word Problems — Number, Age, Work, Motion, Mixture, InvestmentConcept Map
UPCAT candidates who build concept maps early in review tend to retain Word Problems — Number, Age, Work, Motion, Mixture, Investment better through the long stretch to exam day. The Word Problems — Number, Age, Work, Motion, Mixture, Investment concept map on this page shows the sub-topics University of the Philippines includes most often in UPCAT Mathematics, and how they branch off the central idea.
Exam context
The University of the Philippines College Admission Test is conducted by University of the Philippines and is scheduled for Mid-2026 (announced by UP Admissions). The Mathematics subtest is marked as "25% of UPCAT items" in the official pattern, and Word Problems — Number, Age, Work, Motion, Mixture, Investment appears in position 4th of 9 in the UPCAT Mathematics review rotation. Passing mark: UPG ≤ 2.2 typical. Recent UPCAT 2026 papers have drawn roughly 20 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
Ready to practise for the UPCAT 2026?
Super Tutor's AI review plan adapts to your weak areas and builds a weekly practice schedule around your target UPCAT exam date.