Civil Service Exam (Subprofessional) Numerical Ability — Word Problems — Speed/Distance/Age, Discount & InterestMemory Anchors

Tags

• formula
• basic_calculation

Topic

Speed/Distance/Time

Concept

Speed = Distance ÷ Time formula

Anchor Id

A1

Difficulty

easy

Memory Aid

Super Dog Travels - SDT triangle where Speed is at the top, Distance and Time at the bottom. Cover what you want to find!

Anchor Type

acronym

Why It Works

Visual triangles create spatial memory, and the silly 'Super Dog Travels' phrase makes it emotionally memorable

Example Usage

When asked 'A jeepney travels 150km in 3 hours, find its speed' - think Super Dog Travels, cover S in triangle, get D÷T = 150÷3 = 50 kph

Recall Trigger

Picture a superhero dog flying through the air when you see speed problems

Tags

• formula
• business_math

Topic

Simple Interest

Concept

Simple Interest formula I = PRT

Anchor Id

A2

Difficulty

medium

Memory Aid

A pirate named Captain PRT buried treasure. To find his Interest (I), he needed his Principal (P) gold coins, the Rate (R) of growth per year, and Time (T) buried underground. I = P × R × T

Anchor Type

micro_story

Why It Works

Pirates and treasure create strong emotional connections, making the abstract formula concrete and memorable

Example Usage

For 'Find interest on P10,000 at 5% for 2 years' - Captain PRT: I = 10,000 × 0.05 × 2 = P1,000

Recall Trigger

Think of a pirate counting treasure when you see interest problems

Tags

• formula
• business_math

Topic

Discount

Concept

Discount formula: Discount = List Price - Selling Price

Anchor Id

A3

Difficulty

easy

Memory Aid

Imagine a price tag with two numbers: the BIG original price and the SMALLER sale price. The discount is the chunk that got 'eaten away' between them - like a pac-man chomping the difference!

Anchor Type

visual_association

Why It Works

Visual imagery of Pac-Man eating the price difference creates a strong mental picture that's hard to forget

Example Usage

T-shirt listed at P500, sold at P400. Pac-man ate P500 - P400 = P100 discount

Recall Trigger

Picture Pac-Man eating money when you see discount problems

Tags

• algebra
• word_problem

Topic

Age Problems

Concept

Age problems - setting up present, past, and future ages

Anchor Id

A4

Difficulty

hard

Memory Aid

Age problems are like time machines! Create a table with three columns: Past (subtract years), Present (now), Future (add years). Each person is a time traveler with their own journey.

Anchor Type

analogy

Why It Works

Time travel is exciting and familiar from movies, making abstract age relationships concrete and visual

Example Usage

Maria is 3 times older than Juan. In 5 years, she'll be twice as old. Set up: Present (M=3J), Future (M+5=2(J+5))

Recall Trigger

Think 'Back to the Future' when solving age problems

Tags

• concept
• comparison

Topic

Compound Interest

Concept

Compound Interest vs Simple Interest difference

Anchor Id

A5

Difficulty

medium

Memory Aid

Simple Interest is like a lazy employee - earns the same amount each year. Compound Interest is like an ambitious entrepreneur - earns money on the money it already earned, growing exponentially like a snowball rolling downhill!

Anchor Type

analogy

Why It Works

Contrasting personalities (lazy vs ambitious) and familiar images (snowball) make the concepts distinct and memorable

Example Usage

P1,000 at 10%: Simple stays flat (100+100+100), Compound grows (100+110+121)

Recall Trigger

Picture a lazy person vs a snowball when comparing interest types

Tags

• conversion
• formula

Topic

Speed Conversion

Concept

Converting km/hr to m/s

Anchor Id

A6

Difficulty

medium

Memory Aid

King Henry's Magic: Multiply by 5, Divide by 18. Or remember 'Keep Happy, Make Sure' - K(m)/H(r) to M(eters)/S(econds) = × 5/18

Anchor Type

mnemonic

Why It Works

Rhyming phrases and royal imagery create memorable patterns for the conversion factor

Example Usage

Convert 72 km/hr: 72 × 5/18 = 20 m/s (King Henry's Magic!)

Recall Trigger

Think of King Henry when converting speed units

Tags

• formula
• calculation

Topic

Average Speed

Concept

Average Speed formula

Anchor Id

A7

Difficulty

medium

Memory Aid

Meet Average Joe - he never rushes or slows down. To find his constant speed on any trip, he adds ALL the distances he traveled and divides by ALL the time it took. Average Speed = Total Distance ÷ Total Time

Anchor Type

micro_story

Why It Works

Personifying average speed as 'Average Joe' makes the concept relatable and the formula logical

Example Usage

Trip 1: 60km in 1hr, Trip 2: 90km in 2hrs. Average Joe: (60+90)÷(1+2) = 50 kph

Recall Trigger

Think of a steady, consistent person named Average Joe

Tags

• percentage
• formula

Topic

Discount Percentage

Concept

Discount Percentage formula

Anchor Id

A8

Difficulty

medium

Memory Aid

Imagine a pizza cut into 100 slices (100%). The discount percentage is how many slices you DON'T have to pay for. Discount % = (Original Price - Sale Price) ÷ Original Price × 100

Anchor Type

visual_association

Why It Works

Pizza slices make percentages visual and concrete - everyone understands pizza portions!

Example Usage

Shoes: P2000 → P1600. Missing pizza slices: (2000-1600)÷2000 × 100 = 20%

Recall Trigger

Picture pizza slices when calculating discount percentages

Tags

• formula
• exponential

Topic

Compound Interest

Concept

Future Value in Compound Interest F = P(1+r)^t

Anchor Id

A9

Difficulty

hard

Memory Aid

Future Fairy grants wishes! She takes your Present money (P), adds the rate (r) to make it grow, then waves her magic wand (1+r) and multiplies it by itself for each year (^t). F = P(1+r)^t

Anchor Type

micro_story

Why It Works

Fairy magic explains the mysterious power of exponential growth in a memorable way

Example Usage

P10,000 at 5% for 3 years: Future Fairy says F = 10,000(1.05)³ = P11,576.25

Recall Trigger

Think of a magical fairy when calculating compound interest

Tags

• conversion
• time

Topic

Time Conversion

Concept

Time conversion in interest problems

Anchor Id

A10

Difficulty

easy

Memory Aid

Months to years, never fear! Divide by twelve, the answer's here! Days to years, don't you cry! Divide by three-sixty-five!

Anchor Type

rhyme

Why It Works

Rhymes create rhythm and melody that stick in memory better than plain facts

Example Usage

9 months = 9÷12 = 0.75 years, 180 days = 180÷365 = 0.49 years

Recall Trigger

Sing the rhyme when you need to convert time units

Tags

• strategy
• algebra

Topic

Age Problem Strategy

Concept

Setting up age problem equations

Anchor Id

A11

Difficulty

hard

Memory Aid

Walk through your house: Front door = Present ages (let x be younger person), Living room = Past relationships (subtract years), Kitchen = Future relationships (add years), Bedroom = Write equations and solve

Anchor Type

method_of_loci

Why It Works

Method of loci uses familiar spatial memory to organize complex problem-solving steps

Example Usage

Father 4x older than son. In 20 years, only 2x older. House tour: Door(F=4S), Kitchen(F+20=2(S+20)), solve!

Recall Trigger

Mentally walk through your house when solving age problems

Tags

• classification
• business_terms

Topic

Types of Discount

Concept

Types of discount (Trade, Quantity, Promotional)

Anchor Id

A12

Difficulty

easy

Memory Aid

TQP - 'Top Quality Products' = Trade (business to business), Quantity (bulk buying), Promotional (marketing/clearance)

Anchor Type

acronym

Why It Works

The phrase 'Top Quality Products' is positive and business-related, making it easy to remember all three types

Example Usage

Question asks about discount types - recall TQP: Trade (distributor to retailer), Quantity (bulk discounts), Promotional (sales/clearance)

Recall Trigger

Think 'Top Quality Products' when asked about discount types

Tags

• strategy
• organization

Topic

Complex Distance Problems

Concept

Distance problems with multiple speeds

Anchor Id

A13

Difficulty

hard

Memory Aid

Picture a race track with different lanes - each lane has different speeds but the same distance. Make a table like a scoreboard: Distance | Speed | Time for each 'lane' of the journey

Anchor Type

visual_association

Why It Works

Race tracks are visually familiar, and scoreboards naturally organize information in tables

Example Usage

Car travels 200km at 50kph, returns same route at 100kph. Scoreboard: Lane 1 (200|50|4), Lane 2 (200|100|2)

Recall Trigger

Visualize a race track scoreboard when dealing with complex distance problems

Tags

• formula
• inverse_calculation

Topic

Principal Calculation

Concept

Principal calculation P = I÷(RT)

Anchor Id

A14

Difficulty

medium

Memory Aid

Principal is like the seed that grows into the Interest fruit. To find the original seed size, you take the fruit (Interest) and divide by how much it grew (Rate × Time). Bigger growth factors mean smaller original seed needed!

Anchor Type

analogy

Why It Works

Seeds growing into fruit is a natural, intuitive process that explains inverse relationships clearly

Example Usage

Interest earned P2,400 at 8% for 3 years. Seed size: P = 2,400÷(0.08×3) = P10,000

Recall Trigger

Think of seeds growing into fruit when finding principal

Tags

• formula
• addition

Topic

Maturity Value

Concept

Maturity Value calculation M = P + I

Anchor Id

A15

Difficulty

easy

Memory Aid

Picture a piggy bank growing fat! The Maturity Value is the final fat piggy (M) = Original skinny piggy (P) + All the extra weight it gained (I). Simple addition!

Anchor Type

visual_association

Why It Works

Piggy banks are associated with savings, and the visual of growth makes addition logical

Example Usage

Invested P50,000, earned P7,500 interest. Fat piggy: M = 50,000 + 7,500 = P57,500

Recall Trigger

Picture a piggy bank getting fat when calculating maturity value

Tags

• formula
• investigation

Topic

Rate Calculation

Concept

Rate calculation R = I÷(PT)

Anchor Id

A16

Difficulty

medium

Memory Aid

Rate Detective investigates: 'How fast did this money grow?' He takes the Interest evidence (I) and divides by the Principal suspect (P) and Time witness (T) to find the growth Rate. R = I÷(P×T)

Anchor Type

micro_story

Why It Works

Detective stories create narrative structure, making abstract division meaningful and memorable

Example Usage

P20,000 earned P3,000 in 2 years. Detective work: R = 3,000÷(20,000×2) = 0.075 = 7.5%

Recall Trigger

Channel your inner detective when finding interest rates

Tags

• percentage
• step_by_step

Topic

Selling Price Calculation

Concept

Selling Price calculation after discount

Anchor Id

A17

Difficulty

medium

Memory Aid

Think '100 minus discount, then multiply': SP = List Price × (100% - Discount%). Break it into chunks: Step 1: 100 - discount%, Step 2: Convert to decimal, Step 3: Multiply by list price

Anchor Type

chunking

Why It Works

Chunking breaks complex calculations into manageable steps, reducing cognitive load

Example Usage

P800 shirt, 25% off. Chunks: 100-25=75%, 75%=0.75, SP = 800×0.75 = P600

Recall Trigger

Count '100 minus, then multiply' on your fingers

Tags

• visualization
• algebra

Topic

Age Relationships

Concept

Age relationship patterns

Anchor Id

A18

Difficulty

hard

Memory Aid

Draw age problems like a family tree that travels through time! Present ages at the trunk, past ages on the left branches (subtract), future ages on right branches (add). Relationships stay proportional as the tree grows!

Anchor Type

visual_association

Why It Works

Family trees are familiar visual structures, and the time-travel aspect makes age changes logical

Example Usage

Mom 3x older than daughter now, will be 2x older in 10 years. Tree shows: Now(3x|x), Future(3x+10|x+10), equation: 3x+10=2(x+10)

Recall Trigger

Sketch a time-traveling family tree for age problems

Tags

• strategy
• systematic_approach

Topic

Problem-Solving Strategy

Concept

Word problem identification strategy

Anchor Id

A19

Difficulty

medium

Memory Aid

SWIFT strategy: S-Scan for keywords (speed, discount, age, interest), W-What is being asked?, I-Information given, F-Formula needed, T-Time to calculate! Like a SWIFT response team!

Anchor Type

acronym

Why It Works

SWIFT suggests speed and efficiency, and the military/emergency response analogy makes problem-solving feel organized and confident

Example Usage

Problem mentions 'annual rate' and 'how much earned' - SWIFT scan identifies interest problem, formula I=PRT needed

Recall Trigger

Deploy SWIFT team tactics when facing any word problem

Tags

• mistake_prevention
• checking

Topic

Error Prevention

Concept

Common word problem mistake prevention

Anchor Id

A20

Difficulty

medium

Memory Aid

Picture a red STOP sign with common traps: Units not matching (km/hr vs m/s), Time not converted (months to years), Forgetting to add principal to interest, Using wrong formula. The STOP sign prevents crashes!

Anchor Type

visual_association

Why It Works

STOP signs are universal warning symbols, creating strong associations with danger/mistakes to avoid

Example Usage

About to submit interest calculation - STOP sign reminds to check: Did I convert 6 months to 0.5 years? Did I add principal to get maturity value?

Recall Trigger

Visualize a red STOP sign before submitting answers

Formula

Speed = Distance ÷ Time

Mnemonic

Super Dog Travels - SDT triangle, cover what you want to find

When To Use

Any problem asking for speed, distance, or time in motion

What Each Part Means

Speed (how fast), Distance (how far), Time (how long)

Formula

Simple Interest: I = PRT

Mnemonic

I Prefer Reading Tonight - Interest equals Principal × Rate × Time

When To Use

When interest is calculated only on the original principal amount

What Each Part Means

I (interest earned/paid), P (principal/original amount), R (rate as decimal), T (time in years)

Formula

Compound Interest: F = P(1+r)^t

Mnemonic

Future Perfect - Present grows by (1 plus rate) powered by time

When To Use

When interest earns interest (compounds)

What Each Part Means

F (future value), P (present value), r (rate as decimal), t (time periods)

Formula

Discount = List Price - Selling Price

Mnemonic

Don't Lose Sales Profits - Discount equals List minus Selling Price

When To Use

When finding the peso amount of discount given

What Each Part Means

Discount (amount saved), List Price (original price), Selling Price (final price paid)

Formula

Average Speed = Total Distance ÷ Total Time

Mnemonic

All Students Take Tests - Average Speed equals Total Distance over Total Time

When To Use

When finding constant speed for trips with different speeds

What Each Part Means

Average Speed (constant speed equivalent), Total Distance (sum of all distances), Total Time (sum of all times)

Chain Title

Steps to Solve Speed Problems

Recall Test

What are the 5 steps to solve any speed problem?

Memory Chain

I Will Surely Calculate Correctly - like a racing driver checking everything before the race

Items To Remember

• Identify what's missing
• Write the formula
• Substitute known values
• Calculate the answer
• Check units

Chain Title

Age Problem Setup Sequence

Recall Test

What 5 steps help organize age problems?

Memory Chain

Detective Creates Tables, Writes Reports, Solves Cases - like a detective investigating through time

Items To Remember

• Define variables
• Create time table
• Write present relationship
• Write future/past relationship
• Solve equations

Chain Title

Interest Problem Types

Recall Test

Name the 6 key elements in interest problems

Memory Chain

Smart Children Practice Reading Time Management - all the components of interest problems

Items To Remember

• Simple Interest
• Compound Interest
• Principal
• Rate
• Time
• Maturity Value

Chain Title

Discount Problem Elements

Recall Test

What are the 4 main elements in discount problems?

Memory Chain

Lazy Dogs Don't Sell - the four key prices/rates in discount problems

Items To Remember

• List Price
• Discount Amount
• Discount Rate
• Selling Price

Chain Title

Unit Conversion Factors

Recall Test

What are the 5 most important conversion factors for word problems?

Memory Chain

King Henry's Magic Numbers: 1000, 60, 12, and the magic fractions 5/18 and 18/5

Items To Remember

• 1 km = 1000 m
• 1 hour = 60 minutes
• 1 year = 12 months
• km/hr to m/s: ×5/18
• m/s to km/hr: ×18/5