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Class 9 Mathematics - Number System - Test - 1

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1. The value of \( \sqrt{2} + \sqrt{8} \) is:

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2. If \( x = 0.\overline{6} \), then \( x \) equals:

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3. If \( a = 2 + \sqrt{3} \), then \( \frac{1}{a} \) is:

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4. Simplify: \( \frac{1}{\sqrt{5} + 2} \)

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5. Which of the following is an irrational number between \( 3 \) and \( 4 \)?

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6. If \( 3 + \sqrt{5} \) is multiplied by \( 3 - \sqrt{5} \), the result is:

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7. Which of the following is arranged in ascending order?

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8. Which decimal represents a rational number?

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9. Which of the following is a rational number between \( \frac{2}{5} \) and \( \frac{3}{5} \)?

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10. Which statement is correct about \( \pi \)?

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11. \( \sqrt{0.04} \) is equal to:

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12. Which of the following numbers is the smallest?

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13. Which of the following is a rationalising factor of \( \sqrt{11} + \sqrt{7} \)?

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14. Which of the following is true?

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15. What is the value of \( \left(\sqrt{3} + \sqrt{2}\right)^2 - \left(\sqrt{3} - \sqrt{2}\right)^2 \)?

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