Tag: maths

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Questions Related to maths

Multiple choice maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

Translate the following sentence into an algebraic equation: "13 diminished from twice a number is equal to 17"

  1. $2x-13=17$
  2. $13-2x=17$
  3. $2x-17=13$
  4. $2x+13=17$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let  the  number  be  $x.$


Twice  of  the  number  is  $2x$  and  $13$  is  diminished  from  $2x$  means  $(2x-13)$  and  it  is  equal   to   $17. $
 So  answer  is  option  A

Multiple choice maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

The equation for the statement : 'half of a number added to 20 is 25' 

  1. $\displaystyle{\frac{x}{4}}$ + 20 = 25
  2. $\displaystyle{\frac{x}{5}}$ + 25 = 20
  3. $\displaystyle{\frac{x}{2}}$ + 20 = 25
  4. $\displaystyle{\frac{x}{3}}$ + 20 = 25
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$\displaystyle{\frac{x}{2}}$ + 20 = 25 

Half of the number added to 20 will give the answer 25
$\dfrac{10}{2} +20=25$

Multiple choice maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

Equation for the statement: 'thrice the length (L) of a room is 340 metres'

  1. $3L = 43$
  2. $3L = 340$
  3. $3 + L= 34$

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

$\Rightarrow$  The length of room is $L.$

$\Rightarrow$  So, thrice the length means $3L.$

The equation for thrice the length of the room is $340 \ meters$

$\Rightarrow$  $3L=340\ meters.$

Multiple choice maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

The equation for the statement:"half a number added to 10 is 15".

  1. $\dfrac{X}{2}\,+ 10\,+ 5$
  2. $\dfrac{X}{2}\,+ 10\,= 5$
  3. $\dfrac{X}{2}\,+ 15\,= 10$
  4. $\dfrac{X}{2}\,= -10\,+ 15$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the number be $X.$

Half of the number is $\dfrac{X}{2}$
Half a number added to $10$ is $\dfrac{X}{2}+10$
So, according to the question,
$\Rightarrow$  $\dfrac{X}{2}+10=15$

$\Rightarrow$  $\dfrac{X}{2}=-10+15$

Multiple choice maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

In three coloured boxes - Red, Green and Blue, $108$ balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box?

  1. $18$
  2. $36$
  3. $45$

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

Let R, G, B be the number of balls. We have R+G+B=108, G+R=2B, and B=2R. Substituting B=2R into the second equation gives G+R=4R, so G=3R. Substituting into the sum: R+3R+2R=108, so 6R=108, R=18. Then G=3(18)=54. Since 54 is not an option, the correct answer is None of these.