Word Problems — Number, Age, Work, Motion, Mixture, Investment - Concept map
Word Problem Solving
Related concepts
Problem-Solving Strategy
Sub concepts
- Read thoroughly
- Represent with variables
- Relate variables
- Equate using facts
- Solve equations
- Prove answers
Relationship to central
foundational methodology
Translation Skills
Sub concepts
- Addition phrases
- Subtraction phrases
- Multiplication phrases
- Division phrases
- Equality phrases
Relationship to central
essential skill for converting words to math
Number Problems
Sub concepts
- Simple numbers
- Consecutive integers
- Digit problems
- Mathematical expressions
Relationship to central
basic application type
Age Problems
Sub concepts
- Present ages
- Past ages
- Future ages
- Age relationships
- Time tables
Relationship to central
time-based application
Work Problems
Sub concepts
- Individual work rates
- Combined work rates
- Work = Rate × Time
- Fractions of work
Relationship to central
rate-based application
Motion Problems
Sub concepts
- Distance = Velocity × Time
- Meeting problems
- Overtaking problems
- Opposite directions
Relationship to central
distance-based application
Mixture Problems
Sub concepts
- Solutions and solvents
- Percentage concentrations
- Dilution
- Mixing different concentrations
Relationship to central
concentration-based application
Investment Problems
Sub concepts
- Simple interest
- Principal and rate
- Interest = P × R × T
- Multiple investments
Relationship to central
interest-based application
Concept connections
- Problem-Solving StrategyAll Problem Typesuniversal methodology applies to
- Translation SkillsProblem-Solving Strategyessential component of
- Work ProblemsMotion Problemssimilar rate-time relationships
- Age ProblemsNumber Problemsboth use linear equations
- Mixture ProblemsInvestment Problemsboth use percentage calculations
- Consecutive IntegersSimple Numbersspecialized type of
- Distance FormulaWork Rate Formulaanalogous mathematical structure
- Interest FormulaPercentage Concentrationsboth involve rate calculations
Diagrams
Complete Word Problems Concept Map
Comprehensive mind map showing all major word problem types and their key components, organized hierarchically from general problem-solving strategy to specific application areas
Word Problem Solving Process Flow
Step-by-step flowchart showing how to identify problem types and follow the appropriate solution process, with verification steps
Translation Decision Tree
Decision tree for translating English phrases into mathematical operations, showing the logic for choosing the correct mathematical symbol
Distribution of Word Problem Types in UPCAT
Statistical breakdown of different word problem types commonly appearing in UPCAT exams, helping students prioritize their study focus