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Practice Test · Class 9

Number Systems

10 questions randomised from the chapter. Type each final answer and submit to see your score.

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0/10 attempted
01
Simplify 45+32045\sqrt{45} + 3\sqrt{20} - 4\sqrt{5}.
02
Evaluate (32/3)3/2(3^{2/3})^{3/2}.
03
Rationalise 176\dfrac{1}{\sqrt 7 - \sqrt 6}.
04
Find three rationals between 3/53/5 and 4/54/5.
05
Simplify 21/321/42^{1/3}\cdot 2^{1/4}.
06
Find two irrationals between 22 and 33.
07
Prove 2\sqrt 2 is irrational.
08
Is zero a rational number?
09
Express 0.30.\overline{3} as p/qp/q.
10
Rationalise 12+3\dfrac{1}{2 + \sqrt 3}.
Gyaan Maths — CBSE Class 6-10, built for board-toppers.
v1.1 · Feb 2026