IMO Olympiad Work Book 9>Chapter 1 - Number Systems>MATHEMATICAL REASONING>Q 3

MEDIUM

9th Foundation

IMPORTANT

Earn 100

Express the mixed recurring decimal $4.3 \bar{2}$ in the form of $\frac{p}{q}$

60% studentsanswered this correctly

Important Questions on Number Systems

MEDIUM

9th Foundation

IMPORTANT

IMO Olympiad Work Book 9>Chapter 1 - Number Systems>MATHEMATICAL REASONING>Q 4

If

x = (7 + 4 \sqrt{3})

, then

(x + \frac{1}{x})

=_________

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9th Foundation

IMPORTANT

IMO Olympiad Work Book 9>Chapter 1 - Number Systems>MATHEMATICAL REASONING>Q 5

\frac{7 \sqrt{3}}{(\sqrt{10} + \sqrt{3})} - \frac{2 \sqrt{5}}{(\sqrt{6} + \sqrt{5})} - \frac{3 \sqrt{2}}{(\sqrt{15} + 3 \sqrt{2})} =

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9th Foundation

IMPORTANT

IMO Olympiad Work Book 9>Chapter 1 - Number Systems>MATHEMATICAL REASONING>Q 7

Rational number

- \frac{18}{5}

lies between consecutive integers _____

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9th Foundation

IMPORTANT

IMO Olympiad Work Book 9>Chapter 1 - Number Systems>MATHEMATICAL REASONING>Q 8

An irrational number between

\frac{1}{7}

and

\frac{2}{7}

is ______

MEDIUM

9th Foundation

IMPORTANT

IMO Olympiad Work Book 9>Chapter 1 - Number Systems>MATHEMATICAL REASONING>Q 9

The ascending order of the surds

\sqrt[3]{2}, \sqrt[6]{3}

,

\sqrt[9]{4}

is _____

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9th Foundation

IMPORTANT

IMO Olympiad Work Book 9>Chapter 1 - Number Systems>MATHEMATICAL REASONING>Q 10

The greater number among

\sqrt{17} - \sqrt{12}

and

\sqrt{11} - \sqrt{6}

is _____

MEDIUM

9th Foundation

IMPORTANT

IMO Olympiad Work Book 9>Chapter 1 - Number Systems>MATHEMATICAL REASONING>Q 12

If

x = 2 - \sqrt{3},

then the value of

x^{2} + \frac{1}{x^{2}}

and

x^{2} - \frac{1}{x^{2}}

respectively are ________

MEDIUM

9th Foundation

IMPORTANT

IMO Olympiad Work Book 9>Chapter 1 - Number Systems>MATHEMATICAL REASONING>Q 13

Which of the following statements is incorrect?