Tag: maths

Questions Related to maths

The following expressions in statement is given as:
$y-7$ 


7 is subtracted from y

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

  1. True

  2. False

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Correct Option: A
Explanation:

The satement is true.  7 is being subtracted from y.

The $ \dfrac{x}{5}$ expression in the statement is given as $x$ is divided by $5$.

Check whether the statement is true or false.

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

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

The statemnt is true.  x is being divided by 5.

Twelve less than $3$ times a number is $27$. The number is ___________.

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

  1. $29$

  2. $39$

  3. $65$

  4. $13$

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Correct Option: D
Explanation:

Let the number be $x$.
According to question,
$3x - 12 = 27$

$\Rightarrow 3x = 39$
$\Rightarrow x = \dfrac {39}{3} = 13$

The equation for the statement; 'Half of a number added to $10$ is $15$' is __________.

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

  1. $\dfrac {x}{2} = 10 + 5$

  2. $\dfrac {x}{2} + 10 = 15$

  3. $\dfrac {x}{2} = 15 + 10$

  4. $\dfrac {x}{2} = 10 + 15$

Show answer
Correct Option: B
Explanation:

Let, the number be $x$
Half of a number $=$ $\dfrac{x}{2}$
Therefore, the required equation is $\dfrac{x}{2}$ $+10 = 15$.

Kapil bought some packets of pens. He bought one packet containing $5$ pens and $n$ packets containing $2$ pens each. Which of the following expressions could be used to find the total number of pens that Kapil bought ? 

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

  1. $7n$

  2. $10n$

  3. $5 + 2n$

  4. $2 + 5n$

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Correct Option: C
Explanation:

Number of packets bought $= 1 + n$

Given that, 
Single packet has $5$ pens and $n$ packets have $2$ pens each
$\therefore$ Total number of pens in $n$ packets $= 2n$

$\therefore$ Total number of pens bought by Kapil $= 2n + 5$

If five times of a number is $80$, then the number is ________.

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

  1. $-16$

  2. $1$

  3. $16$

  4. $40$

Show answer
Correct Option: C
Explanation:

Let, the number be $x$
$5 $ times of a number $=$ $5\times x$
Therefore, $5x=80$
$\Rightarrow x =\dfrac{80}{5}$ $=16$

Anu had 6 pairs of shoes. She let Mohit borrow $x$ pairs of shoes, and then she had 4 pairs left. Which equation model shows this solution ? 

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

  1. $6 - x = 4$

  2. $6 + x = 4$

  3. $6x = 4$

  4. $4x = 6 $

Show answer
Correct Option: A
Explanation:

Number of pair of shoes Anu had$=6$

Number of pair of shoes Anu has now, after giving $x$ number of pairs to Mohit$=6-x$
Now, in the question, it is given that Anu has $4$ pairs of shoes.
Thus, $6-x=4$ will satisfy the solution for the given problem.

Jaya's score in Mathematics is $30$ more than two third of her score in English. If her score in English is $x$, find her score in Mathematics.

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

  1. $\dfrac {2}{3}(x + 30)$

  2. $\dfrac {2x}{3} + 30$

  3. $\dfrac {2x}{3} - 30$

  4. $30 - \dfrac {2x}{3}$

Show answer
Correct Option: B
Explanation:

Given: Jaya's score in English $=x$

Jaya's score inMathematics $=30+ \dfrac{2}{3}x$
                                               $=\dfrac{2x}{3}+30$

Preeti travelled $3x$ km distance by walk, $9y$ km by cycle and $5$ km by bus. The total distance covered by Preeti is ____________.

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

  1. $(3x - 9y + 5)$ km

  2. $(3x + 9y + 5) $ km

  3. $(3x - 9y - 5) $ km

  4. $(9x + 3y - 5) $ km

Show answer
Correct Option: B
Explanation:

Distance covered by walk $=$ $3x$ km

Distance covered by cycle $=$ $9y$ km
Distance covered by bus $=$ $5$ km
Therefore, total distance covered by Preeti $=$ $(3x+9y+5)$ km.

Meera bought packs of trading cards that contain $10$ cards each. She gave $7$ cards to her friend.
$x =$ Number of packs of trading cards
Which expression shows the number of cards left with Meera?

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

  1. $10x - 7$

  2. $7x - 8$

  3. $5 - 10x$

  4. $8 - 5x$

Show answer
Correct Option: A
Explanation:

Number of cards in 1 pack $= 10$

Number of cards in $x$ packs $=10x$
Number of cards given to friend $=7$
Number of cards left with Meera $=10x-7$