3 Marks Question

Question 513 Marks

Amit weighs $35kg$. His sister Kavita’s weight is$\frac{3}{5}$ of Amit's weight. How much does Kavita weigh?

Answer

Weight of Amit $= 35kg$.
Weight of kavita $=\frac{3}{5}$ of Amit's weight
$=\frac{3}{5}\times35\text{kg}=21\text{kg}$

Question 523 Marks

Rohit takes $=4\frac{4}{5}\text{ minutes}$ to make a complete round of a circular park. How much time will he take to make $15$ rounds?

Answer

Time taken in one round $=4\frac{4}{5}\text{ minutes}$
$=\frac{24}{5}\text{ minutes}$
$\therefore$ Time taken in 15 round $=\frac{24}{5}\times15\text{ minutes}$
$= 72$ minutes
$= 1$ hour $12$ minutes.

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Question 533 Marks

Find the difference: $\frac{5}{6}-\frac{3}{4}$

Answer

$\frac{5}{6}-\frac{3}{4}$
$LCM$ of $6$ and $4 = 12$
$\therefore\frac{5}{6}=\frac{5\times2}{6\times2}=\frac{10}{12}$
$\frac{3}{4}=\frac{3\times3}{4\times3}=\frac{9}{12}$
$\therefore\frac{5}{6}-\frac{3}{4}=\frac{10}{12}-\frac{9}{12}$
$=\frac{10-9}{12}=\frac{1}{12}$

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Question 543 Marks

Arrange the following fractions in ascending order: $\frac{4}{5},\frac{7}{10},\frac{11}{15},\frac{17}{20}$

Answer

$\frac{4}{5},\frac{7}{10},\frac{11}{15},\frac{17}{20}$ Writing them into like fractions,
$LCM$ of $5, 10, 15, 20 = 60$
Now $\frac{4}{5}=\frac{4\times12}{5\times12}=\frac{48}{60}$
$\frac{7}{10}=\frac{7\times6}{10\times6}=\frac{42}{60}$
$\frac{11}{15}=\frac{11\times4}{15\times4}=\frac{44}{60}$
$\frac{11}{12}=\frac{11\times3}{12\times3}=\frac{33}{36}$
Now, arranging them in ascending order,
$\frac{42}{60}<\frac{44}{60}<\frac{48}{60}<\frac{51}{60}$
or $\frac{7}{10}<\frac{11}{15}<\frac{4}{5}<\frac{17}{20}$

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Question 553 Marks

Find the difference: $7-4\frac{2}{3}=\frac{7}{1}-\frac{14}{3}$

Answer

$7-4\frac{2}{3}=\frac{7}{1}-\frac{14}{3}$
$LCM$ of $1$ and $3 = 3$
$\therefore\frac{7\times3}{1\times3}=\frac{21}{3}$
$\frac{7}{1}-\frac{14}{3}=\frac{21}{3}-\frac{14}{3}$
$=\frac{21-14}{3}=-\frac{7}{3}=2\frac{1}{3}$

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Maths 3 Marks Question