CDS Elementary Mathematics Previous Year Question Papers; Download PDF with Answer Key (CDS 1 & CDS 2)
CDS Elementary Mathematics is one of the three papers in CDS 1 and CDS 2, and it is asked only from candidates applying for IMA, INA and AFA. The paper carries 100 marks with 100 objective questions to be attempted in two hours, and the level is set at Matriculation, that is Class 10. Candidates can download year wise papers for CDS 2026 and older cycles along with the answer keys from the section below.
CDS Elementary Mathematics Question Paper and Answer Key PDF
CDS Elementary Mathematics Exam Pattern 2026
CDS 2026 Elementary Mathematics paper follows a pattern that UPSC has kept unchanged for many years. Candidates should read the exam pattern once before opening any question paper, since the marking rule shapes how many questions a candidate can safely attempt in two hours.
| Feature | Details |
|---|---|
| Mode of Exam | Offline, pen and paper with an OMR sheet |
| Question Type | Objective multiple choice, four options each |
| Total Questions | 100 |
| Total Marks | 100 (one mark for each question) |
| Time Allowed | 2 Hours |
| Language of Paper | English and Hindi (bilingual) |
| Applicable For | IMA, INA and AFA candidates only. OTA candidates do not have this paper |
The marking scheme, which decides the attempt strategy, is summed up below.
| Response Type | Marks Awarded / Deducted |
|---|---|
| Correct Answer | +1 mark |
| Wrong Answer | -1/3 mark |
| Un-attempted Question | 0 (no deduction) |
| Multiple Answers Marked | Treated as wrong, -1/3 mark |
Key Takeaways from CDS Mathematics Paper
CDS 1 and CDS 2 papers of the last five cycles carry clear signals about how UPSC frames the maths paper. Candidates who read through even three or four past papers pick up patterns that help them plan the two hour attempt. The main takeaways are listed below.
- Arithmetic dominates the paper, with 40 to 45 questions from topics like Percentage, Profit and Loss, Time and Work, and Simple and Compound Interest.
- Questions are calculation heavy but rarely tricky. Most sums can be solved in under a minute if concepts are strong.
- Geometry and Mensuration questions test basic theorems and standard shape formulas. Learning fifteen to twenty formulas covers most of the section.
- Trigonometry is limited to sine, cosine, tangent, standard identities, and heights and distances. Questions rarely go beyond the NCERT Class 10 level.
- Data Interpretation questions are usually direct, and marks can be picked up quickly if a candidate keeps calm with the calculations.
- The paper is length heavy, so time management matters more than raw speed. Skipping two or three long sums saves time for easier questions.
CDS Mathematics Frequently Asked Question Types
CDS 2026 aspirants who go through old CDS 1 and CDS 2 papers find that a small set of question types comes back in almost every paper. The syllabus is broad, but the question types are limited, which is good news for anyone who has finished at least one full revision.
- Simple and Compound Interest problems that mix half yearly and yearly rates.
- Percentage based word problems on population growth, salary hikes, and price changes.
- Time, Speed and Distance sums involving trains, boats and streams, and average speed.
- Ratio and Proportion problems on partnership and mixture and allegation.
- Quadratic equation roots, and nature of roots using the discriminant.
- Triangle properties, similarity, and simple circle theorems on chords and tangents.
- Volume and surface area of cylinders, cones, spheres, and hemispheres, with simple combinations.
- Height and distance problems using angles of elevation and depression.
- Mean, median and mode from a small frequency distribution table.
CDS Elementary Mathematics Previous Year Comparison
CDS 1 and CDS 2 papers of the same year often carry different difficulty levels, and comparing them side by side helps candidates set realistic score targets for CDS 2026. The table below compares the last four papers reported by aspirants.
| Paper | Overall Difficulty | Arithmetic Questions | Tricky Section | Good Attempts |
|---|---|---|---|---|
| CDS 1 2024 | Moderate | Around 42 | Trigonometry, Mensuration | 70 to 75 |
| CDS 2 2024 | Moderate | Around 44 | Algebra word problems | 68 to 72 |
| CDS 1 2025 | Easy to Moderate | Around 45 | Geometry theorems | 72 to 78 |
| CDS 2 2025 | Moderate | Around 40 | Mensuration 3D shapes | 65 to 70 |
The trend across four papers shows a steady 40 to 45 questions from arithmetic, and a shift in the tricky section from trigonometry (2024) to mensuration (2025). Candidates preparing for CDS 2026 should give extra time to mensuration formulas and 3D shape volume, since UPSC has leaned on this area in the most recent cycle.
Elementary Mathematics rewards steady practice more than last minute cramming. Working through CDS Elementary Mathematics previous year papers one paper at a time, followed by weekly full length mock tests, is the fastest way to build both accuracy and speed. Candidates who follow this cycle for three months usually see their safe attempt count climb from about 60 to over 80, which is enough to clear the qualifying mark for IMA, INA and AFA with a comfortable margin and add strong numbers to the merit list.
| Relevant Links | ||
|---|---|---|
| CDS Application Process | CDS Answer Key | CDS Selection Process |
| CDS Eligibility | CDS Cutoff | CDS Salary |
CDS Mathematics Previous Year Question Papers FAQs
Ques: Is a calculator allowed in the CDS Elementary Mathematics paper?
Ans: No. Calculators, log tables, and any electronic device are not allowed. All working must be done on the rough space in the question booklet or the rough sheets given at the centre.
Ques: What counts as a good score in CDS Elementary Mathematics?
Ans: A score of 60 to 70 marks is considered strong and lifts the overall merit rank. Anything above 50 keeps the candidate safely above the sectional qualifying cutoff.
Ques: Are NCERT Class 9 and 10 books enough for CDS Elementary Mathematics?
Ans: NCERT Class 9 and 10 cover the full syllabus. Candidates should still add a topic wise practice book like R S Aggarwal Quantitative Aptitude or Arihant CDS Pathfinder for extra sums.
Ques: Can a candidate skip Elementary Mathematics and rely on English and General Knowledge?
Ans: No. UPSC sets a sectional cutoff in every paper, so failing Elementary Mathematics disqualifies the whole attempt for IMA, INA and AFA. Only OTA aspirants are exempted since they do not have this paper.
Ques: Does UPSC provide graph sheets for Statistics or Coordinate Geometry questions?
Ans: No separate graph sheets are given. Any rough drawing or working must be done in the blank space inside the question booklet or on the rough sheet issued at the centre.
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