- This is an assessment test.
- These tests focus on the basics of Maths and are meant to indicate your preparation level for the subject.
- Kindly take the tests in this series with a pre-defined schedule.

## Basic Maths: Test 19

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*Basic Maths: Test 19*.You scored %%SCORE%% out of %%TOTAL%%.You correct answer percentage: %%PERCENTAGE%% .Your performance has been rated as %%RATING%% Your answers are highlighted below.

Question 1 |

$ \displaystyle \left( 0.\overline{11}+0.\overline{22} \right)\times 2$

$ \displaystyle 1.\overline{9}$ | |

3 | |

2/3 | |

$ \displaystyle 0.\overline{3}$ |

Question 1 Explanation:

Expression
$ \displaystyle \begin{array}{l}=\left( 0.\overline{11}+0.\overline{22} \right)\times 2\\=\left( \frac{11}{99}+\frac{22}{99} \right)\times 2\\=\frac{33}{99}\times 2\\=2/3\end{array}$

Question 2 |

$ \displaystyle \sqrt{0.014\times 0.14a}=0.014\times 0.14\sqrt{b},\,\,find\,\,\,the\,\,\,value\,\,\,of\,\,\,\frac{a}{b}.$

0.000196 | |

0.00196 | |

0.0196 | |

0.196 |

Question 2 Explanation:

$\displaystyle \begin{array}{l}=\sqrt{0.014\times 0.14a}=0.014\times 0.14\sqrt{b}\\On\,\,squaring\,\,\,both\,\,sides,\\0.014\times 0.14a={{\left( 0.014 \right)}^{2}}\times {{\left( 0.14 \right)}^{2}}b\\therefore\,\,\,\frac{a}{b}=0.014\times 0.14=0.00196\end{array}$

Question 3 |

$ \displaystyle \left\{ \frac{{{\left( 0.1 \right)}^{2}}-{{\left( 0.01 \right)}^{2}}}{0.0001}+2 \right\}$

is equal to

is equal to

1010 | |

110 | |

101 | |

100 |

Question 3 Explanation:

$ \displaystyle \begin{array}{l}=\frac{0.01-0.0001}{0.0001}+2=\frac{0.0099}{0.0001}+2\\=99+2=101\end{array}$

Question 4 |

$ \displaystyle \sqrt{1\frac{1}{4}\times \frac{64}{125}\times 3.24}$

is equal to

is equal to

$ \displaystyle 1\frac{1}{25}$ | |

$ \displaystyle \frac{36}{25}$ | |

$ \displaystyle \frac{23}{25}$ | |

$ \displaystyle \frac{21}{25}$ |

Question 4 Explanation:

$ \displaystyle \begin{array}{l}=\sqrt{\frac{5}{4}\times \frac{64}{125}\times 3.24}\\=\sqrt{\frac{16}{25}\times \frac{324}{100}}\\=\frac{4}{5}\times \frac{18}{10}\\=\frac{36}{25}\end{array}$

Question 5 |

$ \displaystyle \frac{\left( 5+5+5+5 \right)\div 4}{3+3+3+3\div 2}$

1 | |

$ \displaystyle \frac{3}{10}$ | |

$ \displaystyle \frac{4}{9}$ | |

$ \displaystyle \frac{10}{21}$ |

Question 5 Explanation:

$ \displaystyle =\frac{20\div 4}{9+3\div 2}=\frac{10}{21}$

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