Free online practice test
NDA Mathematics Calculus and Vectors Mock Test 2
NDA (National Defence Academy and Naval Academy Examination)
Focus on Calculus and Vectors with 12 original questions in one dedicated practice session.
Syllabus-checked original practice
Mapped to the official Mathematics syllabus and answer-checked on 24 September 2026.
View official pattern sourceTest-day essentials
Know before you start
- The timer starts as soon as you click "Start test" and the test auto-submits when time runs out.
- Mark questions for review and return to them while their section or timing group is still open.
- Your answers and timer deadline are saved on this device, so a refresh can resume safely.
- After submitting, review section and topic scores, explanations, and source links.
About this NDA Calculus and Vectors sectional test
This sectional test isolates Calculus and Vectors from the NDA Mathematics pattern, so you can drill it on its own instead of only meeting it inside the full mock. It draws 12 original practice questions across 12 distinct topics, syllabus-checked the same as our full mocks.
Topics covered
Area Under a Curve
1 question
Continuity
1 question
Definite Integration
1 question
Differentiation of a Quotient
1 question
Increasing and Decreasing Functions
1 question
Integration by Substitution
1 question
Limits of Trigonometric Functions
1 question
Maxima and Minima
1 question
Perpendicular Vectors
1 question
Scalar Triple Product
1 question
Unit Vector
1 question
Vector Algebra (Cross Product)
1 question
Scoring and result analysis
Correct answers earn 2.5 marks and wrong answers deduct 0.83 marks. Unattempted questions score zero. This section's 12 questions are difficulty-tagged: 3 easy, 8 medium, 1 hard. After submitting, you receive topic-wise accuracy, time spent, answer explanations, and source links.
Frequently asked questions
Is this an official NDA question paper?
No. It's an independent practice test with original Calculus and Vectors questions, mapped to the official NDA Mathematics syllabus and answer-checked on 24 September 2026.
How many questions are in this Calculus and Vectors sectional test, and how long is it?
12 questions in 15 minutes.
Which topics does this test focus on?
It spans 12 topics, with the heaviest coverage on Area Under a Curve, Continuity, and Definite Integration.
Is there negative marking in this test?
Yes. Each wrong answer deducts 0.83 marks, and each correct answer earns 2.5 marks. Unattempted questions score zero.
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