Free online practice test
Calculus and Vectors Sectional Test 1
NDA · NDA (National Defence Academy and Naval Academy Examination)
Syllabus-checked original practice
Mapped to the official Mathematics syllabus and answer-checked on 15 August 2026.
View official syllabus sourceBefore you begin
- 1This sectional test contains 6 original Calculus and Vectors questions.
- 2Each wrong answer deducts marks using the scoring rule shown above. Unattempted questions score zero.
- 3You can mark a question for review and come back to it later using the question palette.
- 4The timer starts as soon as you click "Start test" and the test auto-submits when time runs out.
- 5You can review your answers and explanations for every question immediately after submitting.
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 6 original practice questions across 6 distinct topics, syllabus-checked the same as our full mocks.
Topics covered
Application of Derivatives
1 question
Differentiation
1 question
Integration
1 question
Limits
1 question
Vector Algebra (Dot Product)
1 question
Vector Algebra (Magnitude)
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 6 questions are difficulty-tagged: 1 easy, 4 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 15 August 2026.
How many questions are in this Calculus and Vectors sectional test, and how long is it?
6 questions in 8 minutes.
Which topics does this test focus on?
It spans 6 topics, with the heaviest coverage on Application of Derivatives, Differentiation, and 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.