• 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 11

Congratulations - you have completed Basic Maths: Test 11. 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
The value of $ \displaystyle 1+\frac{3}{1+\frac{2}{3+\frac{4}{5}}}$
A
$ \displaystyle \frac{12}{29}$
B
$ \displaystyle \frac{68}{19}$
C
$ \displaystyle \frac{86}{29}$
D
$ \displaystyle \frac{2}{19}$
Question 1 Explanation: 
$ \displaystyle \begin{array}{l}1+\frac{3}{1+\frac{2}{\frac{15+4}{5}}}\\=1+\frac{3}{1+\frac{2\times 5}{19}}\\=1+\frac{3}{\frac{19+10}{19}}\\=1+\frac{57}{29}=\frac{29+57}{29}=\frac{86}{29}\end{array}$
Question 2
Simplify $ \displaystyle \frac{19}{43}\div \frac{1}{2+\frac{1}{3+\frac{1}{1+\frac{1}{4}}}}$
A
$ \displaystyle \frac{19}{43}$
B
$ \displaystyle \text{1}$
C
$ \displaystyle \frac{34}{19}$
D
$ \displaystyle \frac{45}{43}$
Question 2 Explanation: 
We can simplified this question as
$ \displaystyle \begin{array}{l}\frac{19}{43}\div \frac{1}{2+\frac{1}{3+\frac{1}{1+\frac{1}{4}}}}\\=\frac{19}{43}\div \frac{1}{2+\frac{1}{3+\frac{4}{5}}}\\=\frac{19}{43}\div \frac{1}{2+\frac{5}{19}}\\=\frac{19}{43}\div \frac{19}{43}\\=\frac{19}{43}\times \frac{43}{19}=1\end{array}$
So the right answer for the question is option b
Question 3
The simplification of $ \displaystyle \frac{4}{3+\frac{3}{1-\frac{2}{3}}}$ gives
A
7
B
1/3
C
5/12
D
7/12
Question 3 Explanation: 
We can simplified the equation as
$ \displaystyle \begin{array}{l}\frac{4}{3+\frac{3}{\frac{3-2}{3}}}\\=\frac{4}{3+\frac{3}{\frac{1}{3}}}\\\frac{4}{3+3\times 3}\\=\frac{4}{3+9}\\=\frac{4}{12}\\=\frac{1}{3}\end{array}$
So the best option for the question is option b
Question 4
$ \displaystyle 8=p+\frac{1}{1+\frac{1}{3+\frac{1}{4}}}$, then the value of p is:
A
$ \displaystyle \frac{191}{17}$
B
$ \displaystyle \frac{123}{17}$
C
$ \displaystyle \frac{141}{17}$
D
$ \displaystyle \frac{133}{17}$
Question 4 Explanation: 
$ \displaystyle \begin{array}{l}8=p+\frac{1}{1+\frac{1}{3+\frac{1}{4}}}\\\Rightarrow 8=p+\frac{1}{1+\frac{1}{\frac{12+1}{4}}}\\\Rightarrow 8=p+\frac{1}{1+\frac{4}{13}}\\\Rightarrow 8=p+\frac{1}{\frac{13+4}{13}}\\\Rightarrow 8=p+\frac{1}{\frac{17}{13}}\\\Rightarrow 8=p+\frac{13}{17}\,\,\\\Rightarrow \,p=8-\frac{13}{17}\\=\frac{123}{17}\end{array}$
Question 5
basic-maths-test-11-1
A
$ \displaystyle \frac{12}{29}$
B
$ \displaystyle \frac{68}{19}$
C
$ \displaystyle \frac{86}{29}$
D
$ \frac{2}{19}$
Question 5 Explanation: 
basic-maths-test-11-answer-1
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

Want to explore more Arithmetic Tests?

Explore Our Arithmetic Tests

Join our Free TELEGRAM GROUP for exclusive content and updates

Join Our Newsletter

Get the latest updates from our side, including offers and free live updates, on email.