📐 Official ADRE Syllabus Specification
Mathematics & Quantitative Aptitude
Comprehensive 10-Phase preparation hierarchy covering foundation arithmetic, commercial math, algebra, geometry, mensuration, data interpretation, and speed calculation strategies.
20% Marks (Class 10/12 Level)📥 Download Official PDF
🚀 Interactive 10-Phase Learning Roadmap
Topic Priority Matrix
Filter Priority:
| Domain / Area | Priority | Why It Matters | Target |
|---|---|---|---|
| Number System & Simplification | Priority A | Foundation + frequent calculation | Master |
| Ratio / Proportion | Priority A | Feeds percentage, partnership, mixtures | Master |
| Percentage | Priority A | High transfer to many word problems | Master |
| Profit / Loss / Discount | Priority A | Standard arithmetic application | Master |
| Average | Priority A | Short, scoring, highly reusable | Master |
| Time & Work / Pipes | Priority A | Formula + rate reasoning | Master |
| Time-Speed-Distance | Priority A | Common application family | Master |
| Algebra | Priority B | Conceptual but manageable | Strong |
| Geometry | Priority B | Properties + direct application | Strong |
| Mensuration | Priority B | Formula-driven scoring | Strong |
| Data Interpretation | Priority B | Fast marks if calculation is controlled | Strong |
| SI / CI | Priority B | Formula + application | Strong |
Detailed Subtopic & Chapter Breakdown
1. Foundation Arithmetic & Calculation
▲ HideNumber System & Divisibility
- Types of numbers, prime numbers, divisibility rules (2-13), place value, unit digit calculation.
HCF & LCM
- Prime factorisation method, division method, word problems on bells/traffic lights, fraction HCF/LCM.
Simplification & Approximation
- BODMAS/PEMDAS rule, surds & indices, decimal operations, approximation techniques.
Fractions & Decimals
- Proper/improper/mixed fractions, recurring decimals, ordering of fractions, conversion.
2. Core Commercial Mathematics
▲ HidePercentage
- Base change, population growth, expenditure & consumption, mark-up & effective percentage.
Profit, Loss & Discount
- Cost price, selling price, marked price, successive discounts, dishonest shopkeeper problems.
Simple Interest & Compound Interest
- Formula vs ratio method, annual/half-yearly compounding, difference between SI and CI.
Ratio & Proportion & Partnership
- Direct/inverse proportion, mean proportional, profit distribution in partnership based on time & capital.
Average & Ages
- Weighted average, change in average when items added/removed, age calculation problems.
3. Work, Speed & Distance
▲ HideTime & Work / Pipes & Cisterns
- Efficiency method, alternate work days, men-women-children work formula, inlet/outlet pipes.
Time, Speed & Distance
- Average speed, relative speed, train crossing platform/pole, boat and stream (upstream/downstream).
4. Algebra, Geometry & Mensuration
▲ HideAlgebraic Basics & Identities
- Expansion formulas (a+b)², (a+b)³, factorisation, linear equations in 1 & 2 variables, quadratic equations.
Geometry Basics
- Lines & angles, triangle properties (congruence/similarity), circle theorems (chords, tangents, angles).
Mensuration 2D & 3D
- Area & perimeter of triangle/rectangle/circle, surface area & volume of cylinder/cone/sphere/cube.
Data Interpretation
- Reading tables, bar charts, pie charts, line graphs, calculating percentage change & averages.
Ready to Solve Official Questions for Mathematics & Quantitative Aptitude?
Practice solved MCQs collected from ADRE 2022 & 2024 papers with complete answer keys.