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ACET MathematicsWord Problems — Number, Age, Work, Motion, Mixture, InvestmentConcept Map

If you learn better by seeing ideas connected visually, this concept map of Word Problems — Number, Age, Work, Motion, Mixture, Investment is built for you. Every ACET Mathematics question draws on these relationships, so building this map mentally is half the battle when you sit for ACET 2026.

Exam context

On the ACET 2026, the Mathematics subtest carries a "Core section" weight in Ateneo de Manila University'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 score across all sub-tests, and roughly a meaningful share of items come from Mathematics on a typical ACET 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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