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NIOS Board 2022

National Institute of Open Schooling

Secondary Examination β€” 2022

31 questions Β· 5 subjects

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

πŸ“ Mathematics

Code 211 Β· 17 marks total

Practise
Section A β€” Objective (1 Mark Each)

Q1–Q5 Β· 1 mark each

1

The number of zeros of the polynomial p(x) = xΒ² – 4 is:

[1]
  1. A0
  2. B3
  3. C1
  4. D2
2

The common difference of the AP: 3, 1, –1, –3, ... is:

[1]
  1. A1
  2. B2
  3. C–1
  4. D–2
3

In a right triangle, the square of the hypotenuse equals the sum of squares of the other two sides. This is:

[1]
  1. ABPT
  2. BSAS criterion
  3. CPythagoras theorem
  4. DAAA criterion
4

sinΒ²60Β° + cosΒ²60Β° equals:

[1]
  1. A0
  2. B1/2
  3. C3/4
  4. D1
5

The class mark of the class interval 90–120 is:

[1]
  1. A120
  2. B30
  3. C105
  4. D90
Section B β€” Short Answer (2 Marks Each)

Q6–Q11 Β· 2 marks each

6

The LCM of two numbers is 180 and their HCF is 6. If one number is 30, what is the other?

[2]
7

The roots of the equation xΒ² – 3x – 10 = 0 are:

[2]
8

The midpoint of the line segment joining (2, 3) and (–6, 7) is:

[2]
9

Two tangents are drawn from an external point P to a circle of radius 4 cm. If OP = 5 cm, the length of each tangent is:

[2]
10

The circumference of a circle exceeds the diameter by 16.8 cm. The radius of the circle is: (Take Ο€ = 22/7)

[2]
11

A bag contains 3 red, 5 blue and 7 green balls. The probability of drawing a ball that is NOT green is:

[2]
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