USTET Mathematics — Word Problems — Number, Age, Work, Motion, Mixture, InvestmentConcept Map
Concept maps are proven memory anchors for high-volume exams like USTET. This page maps out the key ideas of Word Problems — Number, Age, Work, Motion, Mixture, Investment, the sub-topics that appear on USTET Mathematics papers, and the connections University of Santo Tomas frequently tests in mixed-concept questions.
Exam context
On the USTET 2026, the Mathematics subtest carries a "Core section" weight in University of Santo Tomas's pattern. Word Problems — Number, Age, Work, Motion, Mixture, Investment lands at position 4th out of 9 in the standard review order. Target score is Competitive overall score, and roughly a meaningful share of items come from Mathematics on a typical USTET paper.
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
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Algebra — Sets, Exponents, Radicals, Polynomials & Equations
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Geometry — Lines, Angles, Polygons, Triangles & Circles
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