• 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 42

Congratulations - you have completed Basic Maths: Test 42.

You scored %%SCORE%% out of %%TOTAL%%.

Your performance has been rated as %%RATING%%


Your answers are highlighted below.
Question 1
${{\left( 0.16 \right)}^{-1.5}}$ on simplification gives:
A
64
B
125
C
14.625
D
12.5
Question 1 Explanation:
$\begin{align} & {{\left( 0.16 \right)}^{-1.5}}=\frac{1}{{{\left( 0.16 \right)}^{1.5}}} \\ & =\frac{1}{{{\left[ {{\left( 0.4 \right)}^{2}} \right]}^{\frac{3}{2}}}}=\frac{1}{{{\left( 0.4 \right)}^{2\times \frac{3}{2}}}}=\frac{1}{{{\left( 0.4 \right)}^{3}}} \\ & =\frac{1}{0.064}=\frac{1000}{64}=14.625 \\ \end{align}$
Question 2
$\frac{{{\left( 0.16 \right)}^{3}}-{{\left( 0.04 \right)}^{3}}}{{{\left( 0.16 \right)}^{2}}+0.0064+{{\left( 0.04 \right)}^{2}}}$is simplified to:
A
1.2
B
0.04
C
0.12
D
0.16
Question 2 Explanation:
Let 0.16= a and 0.04 = b,
Therefore Expression
$\begin{align} & \frac{{{a}^{3}}-{{b}^{3}}}{{{a}^{2}}+ab+{{b}^{2}}}=\frac{\left( a-b \right)\left( {{a}^{2}}+ab+{{b}^{2}} \right)}{{{a}^{2}}+ab+{{b}^{2}}} \\ & =a-b=0.16-0.04=0.12 \\ \end{align}$
Question 3
$\sqrt{\frac{0.49}{0.0025}}\times \sqrt{\frac{0.16}{0.64}}$ is equal to:
A
7
B
8
C
9
D
11
Question 3 Explanation:
Expression
$\begin{align} & =\sqrt{\frac{0.49}{0.0025}}\times \sqrt{\frac{0.16}{0.64}} \\ & =\sqrt{\frac{\frac{49}{100}\times \frac{16}{100}}{\frac{25}{10000}\times \frac{64}{100}}} \\ & =\sqrt{\frac{49\times 16\times 1000000}{25\times 64\times 10000}} \\ & =\frac{7\times 4\times 10}{5\times 8} \\ & =7 \\ \end{align}$
Question 4
$\frac{-\frac{3}{2}-\frac{2}{3}+\frac{3}{5}-\frac{3}{3}+\frac{7}{5}+\frac{3}{4}}{\frac{3}{2}+\frac{7}{4}-\frac{4}{3}+\frac{5}{3}-\frac{1}{5}-\frac{4}{5}}$ is simplified to
A
$-\frac{1}{3}$
B
$-\frac{3}{10}$
C
$-\frac{1}{30}$
D
$-\frac{1}{5}$
Question 4 Explanation:
Expression
$\begin{align} & \frac{\frac{-90-40+36-60+84+45}{60}}{\frac{90+75-80+100-12-48}{60}} \\ & =\frac{165-190}{265-140}=-\frac{25}{125}=-\frac{1}{5} \\ \end{align}$
Question 5
The simplification of $\left( 0.\overline{65}+.0\overline{35}+0.\overline{87} \right)$ yields the result
A
$1.\overline{98}$
B
$1.\overline{81}$
C
$1.\overline{79}$
D
1.99
Question 5 Explanation:
Expression
$\begin{align} & \left( 0.\overline{65}+.0\overline{35}+0.\overline{87} \right) \\ & =\frac{65}{99}+\frac{35}{99}+\frac{87}{99} \\ & =\frac{65+35+87}{99}=\frac{187}{99} \\ & =1\frac{98}{99} \\ & =1.\overline{98} \\ \end{align}$
Once you are finished, click the button below. Any items you have not completed will be marked incorrect. Get Results
There are 5 questions to complete.
List
Return
Shaded items are complete.
12345
End
Return