Secondary Examination — 2020

21 questions · 5 subjects

Sample questions only — a real NIOS paper has ~27 questions per subject. This is a representative selection, not the complete paper.

📐 Mathematics

Code 211 · 17 marks total

Section A — Objective (1 Mark Each)

Q1–Q1 · 1 mark each

Two lines represented by equations a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0 are parallel when:

[1]

Section B — Short Answer (2 Marks Each)

Q2–Q7 · 2 marks each

Using Euclid's division algorithm, the HCF of 135 and 225 is:

[2]

The sum of the reciprocals of the roots of x² – 3x + 2 = 0 is:

[2]

The 10th term of an AP is 52 and its 16th term is 82. The first term is:

[2]

Two poles of heights 6 m and 11 m stand on a plane. If the distance between their feet is 12 m, the distance between their tops is:

[2]

The curved surface area of a right circular cylinder of height 14 cm is 88 cm². The diameter of the base is: (π = 22/7)

[2]

Two dice are thrown simultaneously. The probability of getting a total of 9 is:

[2]

Section C — Answer in Brief (4 Marks Each)

Q8–Q8 · 4 marks each

The area of the triangle with vertices (1, –1), (–4, 6) and (–3, –5) is:

[4]