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Understanding percentages
Interpret percentages, convert between common forms, and calculate percentage change and quantities.
Read lessonSubject Curriculum & Practice
Quantitative Aptitude
Work through numerical methods and examples covering number basics, percentages, ratios, averages, interest, motion, work rates, algebra, geometry, data, and probability.
13 structured lessons 13 topic assessments
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Curriculum Overview & Recommended Progression
The Quantitative Aptitude curriculum is organized systematically from baseline conceptual definitions to advanced practical applications. For optimal learning retention:
1. Conceptual Study
Read each lesson thoroughly, focusing on key definitions, worked demonstrations, and highlighted common mistakes.
2. Active Assessment
Immediately complete the paired topic quiz to test your active recall and diagnose misconceptions using instant feedback.
3. Progressive Mastery
Follow the recommended sequence below before tackling specialized topics or related subject intersections.
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Core foundations
Begin with these foundational topics to establish core mental models, then continue through the remaining curriculum.
Lesson
Ratios and proportions
Compare quantities with ratios and solve equivalent-ratio problems using scale factors or unit rates.
Read lessonLesson
Arithmetic averages
Calculate and interpret the arithmetic mean, including problems with a missing value or combined total.
Read lessonLesson
Fraction foundations
Interpret fractions, create equivalent forms, and perform arithmetic operations with unlike denominators.
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All topics in Quantitative Aptitude
Lesson
Number system and decimals
Work confidently with place value, signed numbers, factors, multiples, and decimal operations.
Read lessonLesson
Profit, loss, and discount
Calculate profit, loss, markup, and discount while keeping the correct reference amount clear.
Read lessonLesson
Simple and compound interest
Compare interest calculated on the original principal with growth calculated on a changing balance.
Read lessonLesson
Time and work
Solve work-rate problems by expressing each person's contribution as a fraction of one complete job.
Read lessonLesson
Speed, distance, and time
Connect speed, distance, and time while managing units, relative motion, and average speed.
Read lessonLesson
Algebra basics
Translate statements into expressions and solve simple linear equations while preserving equality.
Read lessonLesson
Geometry and mensuration basics
Calculate common angles, perimeters, areas, surface areas, and volumes with consistent units.
Read lessonLesson
Data interpretation and probability
Read tables and charts accurately, compare values, and calculate basic event probabilities.
Read lessonLesson
Order of operations
Evaluate numerical expressions by handling grouping, exponents, multiplication, division, addition, and subtraction in the correct order.
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Topic Assessments
Check your understanding
Quantitative Aptitude · Understanding percentages
Percentage foundations practice
Convert percentages and calculate a percentage of a quantity using fractions, decimals, and reasonableness checks.
- Level
- beginner
- Questions
- 8
- Time
- 8–12 min
Quantitative Aptitude · Ratios and proportions
Ratios and proportions practice
Simplify ratios, match units, identify equivalent forms, and solve proportional sharing and unit-rate problems.
- Level
- beginner
- Questions
- 8
- Time
- 8–12 min
Quantitative Aptitude · Arithmetic averages
Averages and data practice
Calculate means, recover totals, find missing values, and interpret average speed and percentage change.
- Level
- beginner
- Questions
- 5
- Time
- 5–8 min
Quantitative Aptitude · Algebra basics
Algebra Basics Quiz
Translate expressions, combine like terms, solve linear equations, preserve equality, and check by substitution.
- Level
- beginner
- Questions
- 5
- Time
- 5–8 min
Quantitative Aptitude · Data interpretation and probability
Data Interpretation and Probability Quiz
Read labels and scales, calculate percentage change, find simple probabilities, and use complementary events.
- Level
- beginner
- Questions
- 5
- Time
- 5–8 min
Quantitative Aptitude · Fraction foundations
Fraction Foundations Quiz
Interpret numerator and denominator, form equivalent fractions, add unlike fractions, compare values, and simplify.
- Level
- beginner
- Questions
- 5
- Time
- 5–8 min
Quantitative Aptitude · Geometry and mensuration basics
Geometry and Mensuration Quiz
Calculate angles, perimeter, area, and volume while choosing the correct formula and measurement units.
- Level
- beginner
- Questions
- 5
- Time
- 5–8 min
Quantitative Aptitude · Number system and decimals
Number System and Decimals Quiz
Check place value, signed numbers, factors, multiples, decimal alignment, and estimation.
- Level
- beginner
- Questions
- 5
- Time
- 5–8 min
Quantitative Aptitude · Profit, loss, and discount
Profit, Loss, and Discount Quiz
Calculate profit, loss, percentages, markup, discount, selling price, and successive percentage changes.
- Level
- beginner
- Questions
- 5
- Time
- 5–8 min
Quantitative Aptitude · Simple and compound interest
Simple and Compound Interest Quiz
Compare principal, rate, time, simple interest, compound growth, accumulated amount, and compatible periods.
- Level
- intermediate
- Questions
- 5
- Time
- 5–8 min
Quantitative Aptitude · Speed, distance, and time
Speed, Distance, and Time Quiz
Use speed, distance, time, unit conversion, relative motion, and average-speed relationships.
- Level
- beginner
- Questions
- 5
- Time
- 5–8 min
Quantitative Aptitude · Time and work
Time and Work Quiz
Convert completion times to work rates, combine compatible rates, calculate time, and compare efficiency.
- Level
- intermediate
- Questions
- 5
- Time
- 5–8 min
Quantitative Aptitude · Order of operations
Order of Operations Quiz
Evaluate grouping symbols, exponents, multiplication, division, addition, and subtraction in standard order.
- Level
- beginner
- Questions
- 5
- Time
- 5–8 min
Structured Pathway
Aptitude Foundations
Connect fractions, ratios, percentages, averages, and data interpretation in one numerical sequence.
Open learning path →