Tag: maths

Quizzes (518) Questions (9324)

Questions Related to maths

Multiple choice converting decimals to fractions and vice-versa decimal to fraction addition, subtraction and multiplication of fractions decimal fractions maths

Convert the following into a fraction:

$0.2\times 0.02\times 0.002$

  1. $\dfrac {1}{125}$
  2. $\dfrac {1}{1250}$
  3. $\dfrac {1}{125000}$

  4. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$\dfrac {2}{10}\times \dfrac {2}{100} \times \dfrac {2}{1000}$

$= \dfrac {8}{10\times 100\times 1000}$
$= \dfrac {4}{5\times 100\times 1000}$
$= \dfrac {1}{125000}$

So, option $C$ is correct.

Multiple choice converting decimals to fractions and vice-versa decimal to fraction addition, subtraction and multiplication of fractions decimal fractions maths

$2.\overline{8768}$  expressed as a rational number is 

  1. $\displaystyle 2\frac{878}{999}$
  2. $\displaystyle 2 _{10}^{9}$
  3. $\displaystyle 2\frac{292}{333}$
  4. $\displaystyle 2\frac{4394}{4995}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$\displaystyle 2.\overline{8768}=2+0.\overline{8768}$
= $\displaystyle 2+\frac{8768-8}{9990}=2+\frac{8760}{9990}$
= $\displaystyle 2+\frac{292}{333}=2\frac{292}{333}$

Multiple choice converting decimals to fractions and vice-versa decimal to fraction addition, subtraction and multiplication of fractions decimal fractions maths

Express the following as a fraction and simplify:

$2.45$

  1. $\cfrac {49}{20}$
  2. $\cfrac {20}{49}$
  3. $\cfrac {19}{20}$
  4. $\cfrac {20}{19}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

To convert a decimal to a fraction, write it over the appropriate power of 10 and simplify:
$2.45 = 2\cfrac{45}{100} = 2\cfrac{9}{20}$    ...Mixed fraction

$=\cfrac{49}{20}$     ....Improper fraction

Multiple choice converting decimals to fractions and vice-versa decimal to fraction addition, subtraction and multiplication of fractions decimal fractions maths

Express the infinite decimal .212121 as a common fraction.

  1. $\frac{21}{100}$
  2. $\frac{23}{99}$
  3. $\frac{7}{100}$
  4. $\frac{7}{99}$
  5. $\frac{7}{33}$
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

$Let\quad x=0.212121...\ 100x=21.212121....\ 100x-x=21\ 99x=21\ x=\frac { 21 }{ 99 } =\frac { 7 }{ 33 } $

So correct answer will be option E

Multiple choice maths spaces and boundaries - 2 area of rectangular paths comparing areas problems on areas

A closed box made of steel of uniform thickness has length breadth and height 12 dm, 10 sm and 8 dm respectively If the thickness of the steel sheet is 1 dm then the inner surface area is

  1. $ \displaystyle 456$ $\displaystyle dm^{2}$
  2. $ \displaystyle 376$ $\displaystyle dm^{2}$
  3. $ \displaystyle 264$ $\displaystyle dm^{2}$
  4. $ \displaystyle 696$ $\displaystyle dm^{2}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A closed box made by steel with uniform thickness length 12 dm ,breath  10 dm and 8 dm and thickness  of steel is 1 dm

Then inner length =12-2=10 dm ,breadth=10-2=8 dm and height=8-2=6 dm 
So surface area of box=$2(lw+wh+lh)=2(10\times 8)+(8\times 6)+(10\times 6)=2(80+48+60)=2\times 188=376 dm ^{2}$

Multiple choice maths how many squares area of rectangular paths comparing areas spaces and boundaries - 2

The side of a square is 2 cm Semicircles are constructed on two sides of the square then the area of the whole figure is

  1. $ \displaystyle (4+\pi )cm^{2} $
  2. $ \displaystyle (4+4\pi )cm^{2} $
  3. $ \displaystyle 4\pi cm^{2} $
  4. $ \displaystyle 8\pi cm^{2} $
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The side of square is 2 cm 

Then area of square =$(2)^{2}=4 cm^{2}$
The Semicircle constructed on two side diameter 2 cm then radius =1 cm
Then area of one semicircle =$\frac{\pi r^{2}}{2}=\frac{\pi (1)^{2}}{2}=\frac{\pi }{2}$
Then  area of two semicircle=$2\times \frac{\pi }{2}=\pi $
So total area of whole figure=$(4+\pi )cm^{2}$

Multiple choice maths how many squares area of rectangular paths comparing areas spaces and boundaries - 2

A square of side x is taken A rectangle is cut out from this square such that one side of the rectangle is half that of the square and the other is $\displaystyle \frac{1}{3}$ of the first side of the rectangle
What is the area of the remaining portion?

  1. $\displaystyle \left ( \frac{3}{4} \right )x^{2}$
  2. $\displaystyle \left ( \frac{7}{8} \right )x^{2}$
  3. $\displaystyle \left ( \frac{11}{12} \right )x^{2}$
  4. $\displaystyle \left ( \frac{15}{16} \right )x^{2}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the side of square is x 

Then area of square=$x^{2}$
Given one side of rectangle is half of square=$\frac{x}{2}$
And second side is $\frac{1}{3}$ of other side=$\frac{1}{3}\times \frac{x}{2}=\frac{x}{6}$
Then area of rectangle =$\frac{x}{2}\times \frac{x}{6}=\frac{(x)^{2}}{12}$
So remaining area of square =$x^{2}-\frac{(x)^{2}}{12}=\frac{11x^{2}}{12}$