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BFP Entrance Exam Numerical AbilityIntegers, PEMDAS & DivisibilityConcept Map

A visual concept map is the fastest way to remember how Integers, PEMDAS & Divisibility connects to the rest of BFP Entrance Exam Numerical Ability. This page shows the key concepts, sub-topics, and relationships you need to anchor in memory before sitting for the BFP Entrance Exam 2026.

Exam context

On the BFP Entrance Exam 2026, the Numerical Ability subtest carries a "Core" weight in Bureau of Fire Protection (BFP)'s pattern. Integers, PEMDAS & Divisibility lands at position 1st out of 9 in the standard review order. Target score is BFP-set percentile (typically 70%+), and roughly a meaningful share of items come from Numerical Ability on a typical BFP Entrance Exam paper.

Integers, PEMDAS & Divisibility - Concept map

Central Concept

Numerical Operations and Properties

Related Concepts

Concept

Integers

Sub Concepts

  • Positive integers
  • Negative integers
  • Zero properties
  • Law of signs
  • Absolute value
  • Integer operations

Relationship To Central

Foundation for all numerical operations

Concept

PEMDAS Order of Operations

Sub Concepts

  • Parentheses first
  • Exponents second
  • Multiplication and Division left-to-right
  • Addition and Subtraction left-to-right

Relationship To Central

Rules governing how to perform multiple operations correctly

Concept

Divisibility Rules

Sub Concepts

  • Divisibility by 2,5,10
  • Divisibility by 3,6,9
  • Divisibility by 4,8
  • Divisibility by 7,11,12

Relationship To Central

Quick methods to determine if numbers divide evenly

Concept

Factors and Multiples

Sub Concepts

  • Prime factors
  • Composite numbers
  • GCF and LCM
  • Common factors
  • Common multiples

Relationship To Central

Related concepts that help understand number relationships

Concept Connections

To

PEMDAS

From

Integers

Strength

strong

Relationship

Integers are the numbers used in PEMDAS operations

To

Divisibility

From

PEMDAS

Strength

moderate

Relationship

PEMDAS helps evaluate expressions before applying divisibility tests

To

Factors and Multiples

From

Divisibility

Strength

strong

Relationship

Divisibility rules help find factors and determine multiples

To

Factors and Multiples

From

Integers

Strength

strong

Relationship

Factors and multiples are relationships between integers

To

Law of Signs

From

Absolute Value

Strength

strong

Relationship

Absolute value is used when applying sign rules in integer operations

To

Divisibility Rules

From

Prime Factors

Strength

moderate

Relationship

Prime factorization helps understand why divisibility rules work

To

Divisibility

From

GCF and LCM

Strength

moderate

Relationship

Finding GCF and LCM often requires checking divisibility

To

PEMDAS

From

Zero Properties

Strength

moderate

Relationship

Special zero properties affect calculations in PEMDAS

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