NIOS Board 2019
National Institute of Open Schooling
Secondary Examination — 2019
15 questions · 4 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 · 14 marks total
Section A — Objective (1 Mark Each)
Q1–Q4 · 1 mark each
1
(3 + √5)(3 – √5) equals:
[1]- A9 – 5
- B4
- C14
- D6
2
A polynomial of degree 3 is called:
[1]- ALinear polynomial
- BBiquadratic
- CQuadratic polynomial
- DCubic polynomial
3
tan 45° + sin 30° equals:
[1]- A1
- B2
- C1/2
- D3/2
4
A coin is tossed twice. The probability of getting at least one head is:
[1]- A1/4
- B3/4
- C1
- D1/2
Section B — Short Answer (2 Marks Each)
Q5–Q5 · 2 marks each
5
How many multiples of 4 lie between 10 and 250?
[2]Section C — Answer in Brief (4 Marks Each)
Q6–Q7 · 4 marks each
6
A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less. The speed of the train (in km/h) is:
[4]7
If the mean of the following frequency distribution is 18, find the missing frequency p. Class: 11-13, 13-15, 15-17, 17-19, 19-21, 21-23, 23-25. Frequency: 3, 6, 9, 13, p, 5, 4.
[4]