• 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 58

Congratulations - you have completed Basic Maths: Test 58.

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

Your performance has been rated as %%RATING%%


Your answers are highlighted below.
Question 1
$\sqrt{\sqrt{3721}+\sqrt{11664}}\times 8.5=?$
A
158.5
B
142.5
C
148.5
D
110.5
Question 1 Explanation:
$\begin{align} & ?=\sqrt{\sqrt{3721}+\sqrt{11664}}\times 8.5 \\ & =\sqrt{61+108}\times 8.5 \\ & =\sqrt{169}\times 8.5 \\ & =13\times 8.5=110.5 \\ \end{align}$
Question 2
${{2}^{3.5}}\times {{10}^{2}}\times {{30}^{2.5}}\div {{3}^{2.5}}\times {{5}^{3.5}}={{10}^{?}}$
A
8
B
10
C
12.5
D
6.5
Question 2 Explanation:
\[\begin{align} & {{2}^{3.5}}\times {{10}^{2}}\times {{30}^{2.5}}\div {{3}^{2.5}}\times {{5}^{3.5}}={{10}^{?}} \\ & \Rightarrow {{21}^{?}} \\ & =\frac{{{2}^{3.5}}\times {{2}^{2}}\times {{2}^{2.5}}\times {{3}^{2.5}}\times {{5}^{2}}\times {{5}^{2.5}}\times {{5}^{3.5}}}{{{3}^{2.5}}} \\ & ={{\left( 2 \right)}^{3.5+2.5+2}}\times {{\left( 5 \right)}^{2+2.5+3.5}} \\ & ={{\left( 2\times 5 \right)}^{8}}={{\left( 10 \right)}^{8}} \\ & \Rightarrow ?=8 \\ \end{align}\]
Question 3
${{\left( 46 \right)}^{2}}+{{\left( 81 \right)}^{2}}={{\left( ? \right)}^{2}}-{{\left( 97 \right)}^{2}}-2078$
A
142
B
20164
C
135
D
24025
Question 3 Explanation:
$\begin{align} & {{\left( 46 \right)}^{2}}+{{\left( 81 \right)}^{2}}={{\left( ? \right)}^{2}}-{{\left( 97 \right)}^{2}}-2078 \\ & \Rightarrow 2116+6561={{\left( ? \right)}^{2}}-9409-2078 \\ & \Rightarrow 8677={{\left( ? \right)}^{2}}-11487 \\ & \Rightarrow {{\left( ? \right)}^{2}}=8677+11487 \\ & \Rightarrow {{\left( ? \right)}^{2}}=20164 \\ & \Rightarrow ?=\sqrt{20164}=142 \\ \end{align}$
Question 4
${{\left( \sqrt{5}+\frac{1}{\sqrt{5}} \right)}^{2}}$ Simplifies to
A
$7\frac{1}{2}$
B
$7\frac{1}{5}$
C
$4\frac{1}{5}$
D
$5\frac{1}{2}$
Question 4 Explanation:
$\begin{align} & ={{\left( \sqrt{5}+\frac{1}{\sqrt{5}} \right)}^{2}} \\ & {{\left( \sqrt{5} \right)}^{2}}+{{\left( \frac{1}{\sqrt{5}} \right)}^{2}}+2\times \sqrt{5}\times \frac{1}{\sqrt{5}} \\ & =5+\frac{1}{5}+2=7\frac{1}{5} \\ \end{align}$
Question 5
$\left( 0.3\times 4+0.35\times 0.3+0.3\times 4.5+0.3\times 1.15 \right)$ is equal to
A
3
B
30
C
5
D
7
Question 5 Explanation:
$\begin{align} & =0.3\,\left( 4+0.35+4.5+1.15 \right) \\ & =0.3\times 10=3 \\ \end{align}$
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