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Presentation of Data in Tabular Form Maths - Presentation of Data in Tabular Form

Gujarat Board (GSEB) - STD 9 - Maths (GSEB - English Medium). 320 questions in this chapter.

Question types

Presentation of Data in Tabular Form question types

320 questions across 6 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

320
Questions
6
Question groups
5
Question types
Sample Questions

Presentation of Data in Tabular Form questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q1 Mark
On simplification, the expression $\frac{5^{\text{n}+2}-6\times5^{\text{n}+1}}{13\times5^{\text{n}}-2\times5^{\text{n}+1}}$ equals:

  1. $\frac{5}{3}$

  2. $-\frac{5}{3}$

  3. $\frac{3}{5}$

  4. $-\frac{3}{5}$

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Q 3M.C.Q1 Mark
An irrational number between $\frac{1}{7}$ and $\frac{2}{7}$ is:
  1. $\frac{1}{2}\Big(\frac{1}{7}+\frac{2}{7}\Big)$
  2. $\Big(\frac{1}{7}\times\frac{2}{7}\Big)$
  3. $\sqrt{\frac{1}{7}\times\frac{2}{7}}$
  4. None of these.
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Q 4M.C.Q1 Mark
The rationalisation factor of $\frac{1}{\big(2\sqrt{3}-\sqrt{5}\big)}$ is:
  1. $\sqrt{5}-2\sqrt{3}$
  2. $\sqrt{3}+2\sqrt{5}$
  3. $\big(\sqrt{3}+\sqrt{5}\big)$
  4. $\sqrt{12}+\sqrt{5}$
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Q 5M.C.Q1 Mark
Rationalisation of the denominator of $\frac{1}{\sqrt{5}+\sqrt{2}}$ gives:
  1. $\frac{1}{\sqrt{10}}$
  2. $\sqrt{5}+\sqrt{2}$
  3. $\sqrt{5}-\sqrt{2}$
  4. $\frac{\sqrt{5}-\sqrt{2}}{3}$
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Q 172 Marks Questions2 Marks
It being given that $\sqrt{3}=1.732,\sqrt{5}=2.236,\sqrt{6}=2.449$ and $\sqrt{10}=3.162,$ find to three places of decimal, the value of the following:
$\frac{1}{\sqrt{6}+\sqrt{5}}$
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Q 192 Marks Questions2 Marks
On her birthday Reema distributed chocolates in an orphanage. The total number of chocolates she distributed is given by $\big(5+\sqrt{11}\big)\big(5-\sqrt{11}\big).$
  1. Find the number of chocolates distributed by her.
  2. Write the moral values depicted here by Reema.
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Q 213 Marks Question3 Marks
Prove that:
$\Big(\frac{1}{\text{x}^{\text{a}-\text{b}}}\Big)^{\frac{1}{\text{a}-\text{c}}}\times\Big(\frac{1}{\text{x}^{\text{b}-\text{c}}}\Big)^{\frac{1}{\text{b}-\text{a}}}\times\Big(\frac{1}{\text{x}^{\text{c}-\text{a}}}\Big)^{\frac{1}{\text{c}-\text{b}}}=1$
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Q 223 Marks Question3 Marks
It being given that $\sqrt{3}=1.732,\sqrt{5}=2.236,\sqrt{6}=2.449$ and $\sqrt{10}=3.162,$ find to three places of decimal, the value of the following:
$\frac{6}{\sqrt{5}+\sqrt{3}}$
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Q 233 Marks Question3 Marks
 

It being given that $\sqrt{2}=1.414,\sqrt{3}=1.732,\sqrt{5}=2.236$ and $\sqrt{10}=3.162,$ find the value of three places of decimals, of the following:

$\frac{2}{\sqrt{5}}$

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Q 243 Marks Question3 Marks
Prove that:
$\Big[8^{-\frac{2}{3}}\times2^{\frac{1}{2}}\times25^{-\frac{5}{4}}\Big]\div\Big[32^{-\frac{2}{5}}\times125^{-\frac{5}{6}}\Big]=\sqrt{2}$
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Q 264 Marks Questions4 Marks
If $\text{x}=\frac{5-\sqrt{3}}{5+\sqrt{3}}$ and $\text{y}=\frac{5+\sqrt{3}}{5-\sqrt{3}},$ show that $\text{x}-\text{y}=-\frac{10\sqrt{3}}{11}.$
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Q 274 Marks Questions4 Marks
If $\text{a}=\frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}+\sqrt{2}}$ and $\text{b}=\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}},$ find the value of a2 + b2 - 5ab.
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Q 304 Marks Questions4 Marks
If $\text{a}=\frac{\sqrt{5}+\sqrt{2}}{\sqrt{5}-\sqrt{2}}$ and $\text{b}=\frac{\sqrt{5}-\sqrt{2}}{\sqrt{5}+\sqrt{2}},$ show that $3\text{a}^2+4\text{ab}-3\text{b}^2=4+\frac{56}{3}\sqrt{10}.$
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