Upcoming-ExamsFinance-Account-AssistantFAA-MATHSFAA Mathematics — Analysis & Syllabus Mapping (2022 + 2024)

🔢 FAA MATHEMATICS — Analysis & Mapping

Section: Mathematics · 10 of 120 marks · 10 syllabus topics Papers analysed: 2024 (Q81–Q90) and 2022 (Q32, Q37 only — see the caveat below)


🚨 THE HEADLINE FINDING

⭐⭐ The 2024 paper asked EXACTLY ONE QUESTION FROM EACH OF THE 10 MATHS TOPICS — IN SYLLABUS ORDER

The same structure as the Statistics section. Two sections, same design: 10 topics, 10 marks, one question each, sequentially.

QSyllabus topicAsked
81(i) Simple / Compound interestSimple interest on a 9-month loan
82(ii) Linear equations in two variablesRestaurant word problem
83(iii) Permutations / Combinations & BinomialFour statements to judge
84(iv) Limits & DerivativesFour statements to judge
85(v) Set TheoryInterval sets, find D
86(vi) Relations and FunctionsMatching pairs
87(vii) Matrices & DeterminantsMatching pairs
88(viii) ProbabilityOrder four events by probability
89(ix) Coordinate & 3-D GeometryArea of a triangle in 3-D
90(x) VectorsUnit vector, opposite direction

What this means

Maths is as predictable as Statistics. You know exactly how many questions come from each topic — one — and probably in what order. No topic can be skipped; no topic needs depth beyond one question.


⚠️ 1. Read this before using the 2022 paper

The 2022 paper has NO Mathematics section at all.

The uploaded 2022 paper is an Accounts Assistant (PANCHAYAT), Series A booklet — a different post with a different structure. Its actual layout is:

Q1–30Q31–40Q41–50Q51–80Q81–110Q111–120
GKStatistics + a little MathsEconomicsComputersAccountancyScience

There is no Q81–90 maths block in it — Q81–110 is Accountancy. Only two genuine maths questions exist in the whole paper, both buried in the Q31–40 block: Q32 (Set Theory) and Q37 (Coordinate Geometry).

⚠️ 2022-paper-distribution.md does NOT describe the 2022 paper — do not trust it for Maths.

That file's own header says it maps a "2020 Question Booklet (Set C, Series 68)". It claims Statistics = Q71–80 and Mathematics = Q81–90. Proof it is a different paper: it lists Q80 as "Consumer Price Index features", but Q80 in the actual 2022 booklet is "What does IMAP stand for?" (a computers question). This is the second time this distribution file has been found wrong — see PROJECT-LOG Section 3.5, which recorded the same problem for Accountancy. ✅ Useful side-effect: if that file really does describe a 2020 paper, then a 2020 paper also ran Maths as Q81–90, one question per topic — which independently supports the headline finding.


2. The 10 syllabus topics

#Topic
(i)Simple / Compound interest
(ii)Linear equations with two variables
(iii)Permutations / Combinations & Binomial Theorem
(iv)Limits & Derivatives
(v)Set Theory — basic concepts and applications
(vi)Relations and Functions
(vii)Matrices & Determinants
(viii)Probability
(ix)Coordinate & Three-dimensional Geometry
(x)Vectors
This is NCERT Class 11–12 mathematics — NOT SSC-style quantitative aptitude.

Limits, derivatives, matrices, determinants, 3-D geometry and vectors are +2 level. There is no percentage / profit-loss / time-and-work / ratio content at all. Prepare from NCERT Class 11 and 12, not from a general aptitude book.


3. Mapping — 2024 paper (Q81–Q90) ✅ the real FAA paper

QTopicQuestionAns
81(i) InterestInterest on ₹54,000 for 9 months at 8% p.a.C 3240
82(ii) Linear equations2 burgers + 1 drink = ₹70; 1 burger + 2 drinks = ₹50B ₹30 / ₹10
83(iii) P & C / BinomialWhich statements are correct (PEPPER, C(20,3), (2+x)³, 3B+3G)C a and b
84(iv) Limits & DerivativesWhich statements are correctD c and d
85(v) Set TheoryA = |x|<1, B = |x−1|≥1, A∪B = ℝ∖D. Find DA [1, 2)
86(vi) Relations & FunctionsMatch relations to propertiesD a-4, b-5, c-1, d-2
87(vii) Matrices & DeterminantsMatch matrices to determinant valuesA a-3, b-1, c-4, d-5
88(viii) ProbabilityOrder four events by increasing probabilityC b, a, d, c
89(ix) Coordinate & 3-DArea of triangle A(1,2,3) B(3,2,1) C(2,4,5)⚠️ see Section 6
90(x) VectorsUnit vector opposite to (1, −1)B −(1/√2)(1,−1)

Coverage: 10 / 10 topics. Perfect one-to-one. All ten answers were independently re-solved and verified — see Maths-Tagged-Answers.


4. Mapping — 2022 paper (only 2 maths questions)

QTopicQuestionAns
32(v) Set TheorySymmetric difference of {1,2,3,4} and {3,4,5,6,7}D {1,2,5,6,7}
37(ix) Coordinate GeometryLength of segment A(2,2) to B(9,11)B 11.4

Genuine maths coverage: 2 / 10 topics.


5. Combined topic frequency

#Topic20222024Total
(v)Set Theory112
(ix)Coordinate & 3-D Geometry112
(i)Simple / Compound interest11
(ii)Linear equations11
(iii)Permutations / Combinations & Binomial11
(iv)Limits & Derivatives11
(vi)Relations & Functions11
(vii)Matrices & Determinants11
(viii)Probability11
(x)Vectors11

Set Theory and Coordinate Geometry are the only two topics that appeared in BOTH papers — the two safest bets.

⭐⭐ PROBABILITY IS WORTH TWO MARKS, NOT ONE

Probability appears in BOTH syllabiStatistics topic (vi) and Maths topic (viii) — and both papers asked it in both sections:

  • 2024: Q76 (statistics) and Q88 (maths)
  • 2022: Q34 (statistics)

One body of theory, two marks. It is the highest marks-per-hour topic in either section. Study it once, get paid twice. See Notes-Statistics.md Topic (vi).


6. ⚠️ Two errors found in the 2024 paper

🔴 Q89 has NO correct option — the paper is wrong

Area of the triangle with A(1,2,3), B(3,2,1), C(2,4,5): AB = (2, 0, −2) · AC = (1, 2, 2) · AB × AC = (4, −6, 4) |AB × AC| = √68 → Area = ½√68 = √17 ≈ 4.123

OptionValue
A) √204.472
B) √234.796
C) √265.099
D) √295.385

√17 is not among them. The answer key in 2024-paper.md says "D) √29" but hedges it as "as per matching patterns in the official exam set approximations" — i.e. it was guessed, not solved. Treat this question as void. If a question like it appears in 2026, compute ½|AB × AC| and pick the nearest option.

🟠 Q86 — one pair is mis-stated

Option a is F = {(x,y): x² + y = 2}, i.e. y = 2 − x², whose range is (−∞, 2]. It is matched to statement 4: "Range of F = [−2, ∞)", which is the range of y = x² − 2 — almost certainly the intended relation. Answer D is still right by elimination, because b-5, c-1 and d-2 are all certain:

  • b) x² + y² = 25 → a circle → not a function (5) ✓
  • c) y = 2x + 1 → F∘F = 4x + 3 (1) ✓
  • d) y = x² → increasing on (0,∞) but not on ℝ (2) ✓

7. What kind of questions are asked

Format2024Note
Direct calculation4Q81, Q82, Q85, Q90
Multi-statement "which are correct"3Q83, Q84 — judge four claims independently
Matching pairs2Q86, Q87
Ordering / ranking1Q88 — arrange by increasing probability
⭐ The real difficulty is FORMAT, not mathematics

Every individual fact tested is easy — simple interest, a 2×2 linear system, det(I) = 1, the derivative of 1/x. But 6 of the 10 questions make you evaluate FOUR separate claims before you can answer. One question = four mini-questions. That is what eats the clock, and it is exactly the same design as the Statistics section. Practise judging statements one at a time. In Q83 and Q84, spotting a single false claim eliminates two options.

Difficulty

TierQuestionsWhy
🟢 Easy (4)Q81, Q82, Q90, and 2022 Q32One-step formula or a 2-variable solve
🟡 Moderate (4)Q85, Q87, Q88, and 2022 Q37Needs a definition applied carefully
🔴 Slow (2)Q83, Q84, Q86Four claims each, spanning several sub-topics
Void (1)Q89No correct option — see Section 6

8. 🔮 Prediction for 15 November 2026

Expect the same structure — one question from each of the 10 topics, in syllabus order.
TopicMost likely question
(i) InterestSimple interest for a part-year (the 9-month form came in 2024); or CI for 2 years
(ii) Linear equationsTwo-item word problem (prices, ages, digits); condition for no / infinite solutions
(iii) P & C / BinomialArrangements of a word with repeated letters · ⁿCᵣ committee · a binomial expansion term
(iv) Limits & DerivativesStandard limits (⭐ (eˣ−1)/x → 1, (xⁿ−aⁿ)/(x−a)), the first-principles definition, derivative of 1/x
(v) Set Theory ⭐Symmetric difference · interval sets with modulus · De Morgan
(vi) Relations & FunctionsOne-one / onto · domain and range · composition f∘f
(vii) Matrices & Determinantsdet(I)=1 · identical rows → 0 · diagonal = product · det(AB)=det(A)det(B) · det(Aᵀ)=det(A)
(viii) Probability ⭐Cards, dice, coins — also revise this for the Statistics section
(ix) Coordinate & 3-D ⭐Distance formula (2022) · area of a triangle by ½|AB × AC| (2024) · collinearity
(x) VectorsUnit vector = a/|a|, and the opposite direction is its negative

Two safest bets:Set Theory and ⭐ Coordinate Geometry — the only topics asked in both papers. The one to drill hardest:Matrices & Determinants — five separate determinant rules were tested in a single question (Q87), and all five are pure recall.


Built with LogoFlowershow