Free CDS Mock Test 2026: Combined Defence Services Elementary Maths Prep
Take our Free CDS Elementary Mathematics Mock Test 2026. 100 questions in 120 minutes. Practice Arithmetic, Algebra, Geometry, and Trigonometry for UPSC CDS exam and IMA, OTA, AFA, INA entry.
The Combined Defence Services (CDS) Examination is conducted by UPSC twice a year for recruitment of officers to the Indian Military Academy (IMA), Indian Naval Academy (INA), Air Force Academy (AFA), and Officers' Training Academy (OTA). CDS is the most common route for graduates to join the Indian Armed Forces as commissioned officers.
The CDS exam comprises three papers: English, General Knowledge, and Elementary Mathematics (for IMA, INA, AFA — not required for OTA). Our mock focuses on the challenging Elementary Mathematics paper that eliminates a large portion of candidates.
Challenge yourself with our Free CDS Elementary Mathematics Mock Test 2026.
CDS 2026 Elementary Mathematics Exam Pattern & Mock Test Structure
| Topic Area | Questions | Marks | Difficulty |
|---|---|---|---|
| Arithmetic | 40 | 100 | Class 10 standard |
| Algebra & Geometry | 40 | 100 | Class 10 standard |
| Trigonometry & Statistics | 20 | 50 | Class 10–11 standard |
| Total | 100 | 250 | Good Score: 60+ |
Duration: 120 Minutes | Negative Marking: -1/3 per wrong answer | Only MCQ format
👉 Attempt Free CDS Mathematics Mock Test!
CDS 2026 Complete Exam Overview
The CDS written exam consists of:
| Paper | Questions | Marks | Duration | For |
|---|---|---|---|---|
| English | 120 | 100 | 2 Hours | All academies |
| General Knowledge | 120 | 100 | 2 Hours | All academies |
| Elementary Mathematics | 100 | 100 | 2 Hours | IMA, INA, AFA only |
After clearing the written exam, candidates appear for SSB (Services Selection Board) — a 5-day rigorous interview and assessment process.
Elementary Mathematics — Detailed Syllabus
Arithmetic (40 Questions)
- Number Systems: Natural numbers, integers, rational/irrational numbers, decimals, percentages
- Unitary Method: Time-Distance, Time-Work, Pipes-Cisterns
- Simple & Compound Interest: Formulae and application
- Profit, Loss & Discount: Trade and bank discounts
- Ratio & Proportion: Direct and inverse variation
- Averages: Simple average, weighted average
Algebra & Geometry (40 Questions)
- Basic Algebra: Polynomials, linear/quadratic equations, simultaneous equations
- Matrices: Basic operations, determinants (2×2, 3×3)
- Coordinate Geometry: Lines, circles, distance formula, section formula
- Basic Geometry: Properties of triangles, circles, quadrilaterals, congruency and similarity
Trigonometry & Statistics (20 Questions)
- Trigonometry: Ratios, identities, height and distance problems
- Statistics: Mean, Median, Mode, Variance, Standard Deviation, basic probability
Why Take Our CDS Mathematics Mock Test?
- Class 10 Level, But Tricky: CDS Math is Class 10 standard but questions involve multi-step logical thinking — not direct formula application.
- -1/3 Negative Marking: This makes the 100-question paper very score-sensitive. Every 3 wrong answers cancel one correct answer.
- 120 Minutes Training: 1.2 minutes per question — more time than SSC/IBPS but still requires practice to solve complex geometry or DI under pressure.
- Score 60+ to Qualify: A score of 60+ out of 100 in Math is generally a safe benchmark for competitive CDS ranks.
SSB Preparation — Don't Ignore It!
The CDS written exam is just the first filter. The Services Selection Board (SSB) is the true battleground — a 5-day assessment that evaluates:
- Officer Like Qualities (OLQs): Leadership, courage, teamwork, adaptability
- Psychological Tests: Thematic Apperception Test (TAT), Word Association Test (WAT), Situation Reaction Test (SRT)
- Group Tasks: Group Discussion, Group Planning Exercise, Group Obstacle Race
- Personal Interview: Detailed discussion on your background, motivation, current affairs
Only 30–40% of SSB candidates are recommended after this gruelling process. Start developing your personality alongside your written exam preparation.
CDS vs NDA — Which Defence Route is Right for You?
| Feature | CDS | NDA |
|---|---|---|
| Eligibility | Graduate (20–24 years) | Class 12 (16.5–19.5 years) |
| Technical Exam | Elementary Maths (Class 10) | Maths (Class 12 level, 300 marks) |
| For Branches | IMA, INA, AFA, OTA | Army, Navy, Air Force |
| Entry Level | Lieutenant | Lieutenant (after 3 years NDA training) |
Pro Tips for CDS 2026
- NCERT Class 9–10 Math is Sufficient: Unlike JEE, CDS Math requires only Class 10 proficiency. Be thorough — don't leave any chapter.
- Triangles and Circles are High-Value: Geometry carries significant weightage. Master congruency, Pythagoras, circles, and triangle properties.
- Speed and Accuracy Balance: With 120 minutes for 100 questions, you have more comfortable time than SSC/IBPS. Use it to double-check tricky geometry answers.
- Apply for Both CDS I & II: UPSC conducts two CDS exams per year (typically Feb and Sept). Apply for both!
- Start SSB Prep Alongside Written: Reading books like "SSB Cracker" before the written exam helps you understand the full journey.
Related Defence Exams
- NDA: For joining defence straight after Class 12, take the Free NDA GAT Mock Test.
- AFCAT: For Air Force officer entry after graduation (non-IMA route), try the Free AFCAT Mock Test.
- UPSC CSE: For IPS (civilian uniformed service), explore the Free UPSC Prelims Mock Test.
Joining the Indian Armed Forces as a commissioned officer is among the most honourable career choices. Take this mock test, sharpen your Mathematics, and step confidently toward your SSB interview!
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