3 Marks Question

Question 13 Marks

To stitch a shirt $2m 15\ cm$ cloth is needed. Out of $40m$ cloth, how many shirts can be stitched and how much cloth will remain?
(Hint: convert data in $\ cm.)$

Answer

$2m 15cm = 2m + 15cm = 2 \times 100cm + 15cm = 200cm + 15cm = 215cm$
$40m = 40 \times 100cm = 4000cm.$
Total length of cloth $= 4000cm$
Cloth needed for one shirt $= 215 cm$ No.
Of shirts can be stitched $= 4000cm \div 215cm$

Hence, $18$ shirts can be stitched and $130 cm$, i.e. $1m 30cm$ cloth will remain.

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Question 23 Marks

A vessel has 4 litres and $500ml$ of curd. In how many glasses, each of $25ml$ capacity, can it be filled?

Answer

$4l 500 ml = 4l + 500ml = 4 \times 1,000ml + 500ml$
$= 4,000 ml + 500ml = 4,500 ml$
Total quantity of curd =$ 4,500 ml$
Capacity of $1$ glass $= 25 ml$
No. of glasses that can be filled $= 4,500 ml ÷ 25 ml$

Hence, it can be filled in $180$ glasses.

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Question 33 Marks

The distance between the school and a student’s house is $1 \ km 875 m$. Every day she walks both ways. Find the total distance covered by her in six days.

Answer

$1 \ km 875 m = 1 \ km + 875m = 1 \times 1,000m + 875m$
$= 1,000m + 875m = 1875m$
Distance covered by her in a day by walking both ways between school and home
$= 1,875 \times 2m = 3,750m$
Working days in a week $= 6$
$\therefore$ Total distance covered by her in six days by walking both ways between school and home $= 3,750 \times 6m = 22,500m$
$= 22,000m + 500m = \frac{22000}{1000} \mathrm{km} + 500m = 22\ km + 500m$
$= 22\ km 500m$

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Question 43 Marks

Medicine is packed in boxes, each weighing $4\ kg 500g$. How many such boxes can be loaded in a van which cannot carry beyond $800 \ kg?$

Answer

$4kg 500g = 4kg + 500g = 4 \times 1,000g + 500g$
$= 4,000g + 500g = 4,500g$
$800kg = 800 \times 1,000g = 8,00,000g.$
Weight the van can carry $= 8,00,000g$
Weight of one box $= 4,500g$

No. of boxes that can be loaded $= 8,00,000g \div 4,500g$
Hence, $177$ such boxes can be loaded.

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Question 53 Marks

The number of sheets of paper available for making notebooks is $75,000$. Each sheet makes $8$ pages of a notebook. Each notebook contains $200$ pages. How many notebooks can be made from the paper available?

Answer

Given: Each sheet makes $8$ pages.
Hence, $75,000$ sheets make $8 \times 75,000$ pages
Now, $75000 \times 8 = 600000$
Thus, $6,00,000$ pages are available for making notebooks. Now, $200$ pages make $1$ notebook.
Hence, $6,00,000$ pages make $6,00,000 \div 200$ notebooks.
Now,

Therefore, $3,000$ notebooks can be made.

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