Class 9 Mathematics Quiz Chapter 1

Chapter 1 – Number Systems

Play the below Class 9 Mathematics Quiz Chapter 1 Number Systems. These questions are very important for examination. We have provided a quiz from each chapter of class 9 Mathematics NCERT book. Check it on our website.


1. Which of the following is irrational:

(A) \large\bf0.\overline{23}
(B) \large\bf7.234234423444.......
(C) \large\bf0.823
(D) \large\bf\sqrt{4}

2. Which of the following is rational:

(A) \large\bf\sqrt{17}
(B) \large\bf\sqrt{19}
(C) \large\bf\sqrt{25}
(D) \large\bf\sqrt{23}

3. Which of the following is a correct statement?

(A) Sum of two irrational numbers is always irrational.
(B) Sum of a rational and irrational number is always irrational.
(C) Square of an irrational number is always a rational number.
(D) Sum of two rational numbers can never be an integer.

4. \large\bf31.\overline{43} when expressed in the form of \large\bf\frac{p}{q} (p, q are integers, \large\bfq\neq0)

(A) \large\bf\frac{3112}{99}

(B) \large\bf\frac{3143}{99}

(C) \huge\bf\frac{3143}{90}

(D) \large\bf\frac{3112}{90}


5. If \large\bf\frac{2^{m+n}}{2^{n-m}} = 16 and \large\bf\frac{3^{p}}{3^{n}} = 81 and \large\bf a = 2^{\frac{1}{10}}, then \large\bf\frac{a^{2m+n-p}}{(a^{m-2n+2p})^{-1}} =

(A) \large\bf\frac{1}{3}

(B) \large\bf\frac{1}{9}

(C) \large\bf9

(D) \large\bf2


6. If \large\bf2^{5}\times\hspace{2pt}2^{3} = 4^{x}, then \large\bf x =

(A) \large\bf2
(B) \large\bf4
(C) \large\bf8
(D) \large\bf6

7. \large\bf(0.0256)^{0.16} \hspace{2pt}\times\hspace{2pt}(0.0256)^{0.09} =

(A) \large\bf0.6
(B) \large\bf4
(C) \large\bf0.4
(D) \large\bf0.04

8. If \large\bf\sqrt{3^{n}} = 729, then \large\bf5^{3\left(\frac{n}{12}-1\right)}

(A) \large\bf 125
(B) \large\bf 3125
(C) \large\bf 0
(D) \large\bf 1

9. If \large\bf6^{x+3} = 1290\hspace{2pt}+ 6^{x}, then \large\bfx =

(A) \large\bf2
(B) \large\bf1
(C) \large\bf6
(D) \large\bf36

10. If \large\bf x=2+\sqrt{3}, then \large\bf x^{2}+\frac{1}{x^{2}} =

(A) \large\bf16
(B) \large\bf8
(C) \large\bf14
(D) \large\bf10

11. If \large\bf x=3+\sqrt{8}, then \large\bf x^{2}+\frac{1}{x^{2}} =

(A) \large\bf34
(B) \large\bf64
(C) \large\bf62
(D) \large\bf36

12. \large\bf \frac{1}{\sqrt{9}-\sqrt{8}} is equals to


(A) \large\bf 3+2\sqrt{2}

(B) \large\bf 3-2\sqrt{2}

(C) \large\bf \frac{1}{3+2\sqrt{2} }

(D) \large\bf \frac{3}{2}-\sqrt{2}


13. \large\bf \sqrt{3+2\sqrt{2}} is equals to

(A) \large\bf 1+\sqrt{2}
(B) \large\bf 1-\sqrt{2}
(C) \large\bf 3+\sqrt{2}
(D) \large\bf \sqrt{3} + 2\sqrt{2}

14. If \large\bf \frac{\sqrt{2}-1}{\sqrt{2}+1} = x+y\sqrt{2}, then \large\bf x and \large\bf y are

(A) \large\bf x=3,\hspace{3pt}y=2
(B) \large\bf x=2,\hspace{3pt}y=3
(C) \large\bf x=3,\hspace{3pt}y=-2
(D) \large\bf x=-3,\hspace{3pt}y=-2

15. If a, b, c are positive real numbers then \large\bf \sqrt[5]{3125\space a^{10}\space b^{5}\space c^{10}} is equals to

(A) \large\bf 25\space a\space b^{2}\space c
(B) \large\bf 125\space a^{2}\space b\space c^{2}
(C) \large\bf 5\space a^{2}\space b\space c^{2}
(D) \large\bf 5\space a^{2}\space b^{2}\space c^{2}



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