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Class 9 Mathematics — Chapter 1: Number Systems

90 practice questions · 30 Easy · 30 Medium · 30 Hard

Free NCERT-aligned multiple-choice practice for Class 9 Mathematics, Chapter 1 (Number Systems). Practise timed Easy, Medium and Hard quizzes with instant explanations — built for CBSE Board exams, JEE Main and NEET UG. Here are a few sample questions; sign in free to practise all 90.

Sample questions

Q1Easy

Every natural number is also a:

A.Negative integer
B.Rational number✓ correct
C.Irrational number
D.Imaginary number
Why

Every natural number n can be expressed as n/1, so it is rational.

Q2Medium

Find a rational number between 1/4 and 1/2.

A.1/8
B.3/8✓ correct
C.3/4
D.2/3
Why

To find a rational number between 1/4 and 1/2, take their average: (1/4 + 1/2)/2 = (1/4 + 2/4)/2 = (3/4)/2 = 3/8. Check: 1/4 = 2/8 < 3/8 < 4/8 = 1/2. So 3/8 lies between 1/4 and 1/2.

Q3Hard

Rationalise: 1/(2+√3).

A.2−√3✓ correct
B.2+√3
C.(2−√3)/7
D.1/(2−√3)
Why

1/(2+√3) × (2−√3)/(2−√3) = (2−√3)/(4−3) = (2−√3)/1 = 2−√3.

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