3 marks

Question 13 Marks

By what number should $3 \frac{1}{16}$ be multiplied to get $9 \frac{3}{16} ?$

Answer

$ 3 \frac{1}{16} \times \text { the required number }=9 \frac{3}{16}$
$\therefore \text { The required number }=9 \frac{3}{16} \div 3 \frac{1}{16}$
$=\frac{147}{16} \div \frac{49}{16}$
$=\frac{147}{16} \times \frac{16}{49}$
$49) \frac{3}{147}$
$=3 $
The number to be multiplied is $3 .$

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Question 23 Marks

Nilavan can walk $4 \frac{1}{2} km$ in an hour. How much distance will he cover in $3 \frac{1}{2}$ hours?

Answer

Distance walked by Nilavan in one hour $=4 \frac{1}{2} km$ $\therefore$ Distance walked in $3 \frac{1}{2}$ hours $=4 \frac{1}{2} \times 3 \frac{1}{2} km$
$ =\frac{9}{2} \times \frac{7}{2} km$
$=\frac{63}{4} km$
$=15 \frac{3}{4} km$
$\frac{15}{63}$
$\frac{4}{23}$
$\frac{20}{3} $
4) $\overline{63}$
$\frac{4}{23}$
$\frac{20}{3}$ Nilavan walks $15 \frac{3}{4} km$ in $3 \frac{1}{2}$ hours

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Question 33 Marks

Gowri purchased $3 \frac{1}{2} kg$ of tomatoes, $\frac{3}{4} kg$ of brinjal and $1 \frac{1}{4} kg$ of onion. What is the total weight of the vegetables she bought?

Answer

Weight of tomatoes Gowri purchased $=3 \frac{1}{2} kg$
Weight of Brinjal purchased $=\frac{3}{4} kg$
Weight of Onion purchased $=1 \frac{1}{4} kg$
$\therefore$ Total weight of the vegetables $=3 \frac{1}{2}+\frac{3}{4}+1 \frac{1}{4} kg$
$ =3+\frac{1}{2}+\frac{3}{4}+1+\frac{1}{4} kg$
$=(3+1)+\frac{1}{2}+\frac{3}{4}+\frac{1}{4} kg$
$=4+\frac{2}{4}+\frac{3}{4}+\frac{1}{4} kg$
$=4+\frac{2+3+1}{4} kg$
$=4+\frac{6}{4} kg $
$ =4+1+\frac{2}{4} kg$
$=5+\frac{1}{2} kg$
$=5 \frac{1}{2} kg $
Total weight of vegetables that Gowri purchased $=5 \frac{1}{2} kg$

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Question 43 Marks

Ravi bought a curtain of length $15 \frac{3}{4} m$. If he cut the curtain into small pieces each of length $2 \frac{1}{4} m$, then how many small curtains will he get?

Answer

Length of the curtain Ravi had $=15 \frac{3}{4} m$
Length of the small curtain $=2 \frac{1}{4} m$
$\therefore$ Number of pieces $=15 \frac{3}{4} \div 2 \frac{1}{4}$
$=\frac{63}{4} \div \frac{9}{4}$
$=\frac{63}{4} \times \frac{4}{9}$ Ravi will get 7 small curtains.
$=7$

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