3 Mark Question

Question 13 Marks

A man purchase an almirah for Rs. 11025, gives 172.50 as its cartage and spends Rs. 64.80 on its repair. How much does the almirah cost him?

Answer

We have:
Cost of almirah 11025.00 rupees.
Its cartage 172.50 rupees.
Spend for the repair 64.80 rupees.
Total spends money are,
$\ \ \ \ \ \ \ \ \ 64.80\\ \ \ \ \ \ \ \ 172.50\\ \underline{+11025.00}\\ \ \ \ \underline{11262.30}$
Hence, the cost of almirah is 11262.30 rupees.

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Question 23 Marks

Radhika bought 2m 5cm cloth for her salwar and 3m 35cm cloth for her shirt. Find the total length of cloth bought by her.

Answer

We have:
The length for her salwar = 2.05m.
The length for her shirt = 3.35m.
Total length of cloth,
$\ \ \ \ \ \ 2.05\\\ \ \ \underline{+3.35\ }\\ \ \ \ \underline{\ \ \ 5.40\ }$
Hence, the total length of cloth bought by her = 5m, 40c.m

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Question 33 Marks

Simplify:
75.3 - 104.645 + 178.96 - 47.9

Answer

75.3 - 104.645 + 178.96- 47.9
= 75.300 - 104.645 + 178.960 - 47.900
(Converting into like decimals)
= 75.300 + 178.960 - 104.645 - 47.900
= (75.300 + 178.960) - (104.645 + 47.900)
= 254.260 - 152.545
= 101.715
Working:
$\ \ \ \ \ 75.300\\ \underline{+178.960}\\ \underline{\ \ \ 254.260}$
$\ 104.645\\ \underline{+47.900}\\ \underline{\ \ 152.545}$
$\ \ \ 254.260\\ \underline{-152.545}\\ \underline{\ \ \ 101.715}$

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Question 43 Marks

Ramu bought 2m 70cm cloth for his shirt and 2m 60cm cloth for his pyjamas. Find the total length of cloth bought by him?

Answer

We have:
The length for cloth of shirt = 2.70m.
The length for cloth of pyjamas = 2.60m.
Total length of cloth,
$\ \ \ 2.70\\ \underline{+2.60} \\\underline{\ \ \ 5.30}$
Hence, the total length of cloth bought by him = 5m, 30cm.

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Question 53 Marks

Simplify:
213.4 - 56.84 - 11.87 - 16.087

Answer

213.4 - 56.84 - 11.87 - 6.087
= 213.400 - 56.840 - 11.870 - 16.087
(Converting into like decimals)
= 213.400 - (56.840 + 11.870 + 16.087)
= 213.400 - 84.797
= 128.603
Working:
$\ \ \ \ 56.840\\ \ {+11.870}\\\ \underline{+16.087}\\ \underline{\ \ \ \ 84.797}$
$\ 213.400\\ \underline{-84.797}\\ \underline{\ 128.603}$

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Question 63 Marks

Kunal purchased a notebook for Rs. 19.75, a pencil for Rs. 3.85 and a pen for Rs. 8.35 from a bookshop. He gave a 50 rupee note to the shopkeeper. What amount did he get back?

Answer

Cost of a notebook = Rs. 19.75
Cost of a pencil = Rs. 3 .85
Cost of a pen = Rs. 8.35
Total cost = Rs. 19.75 + Rs. 3.85 + Rs. 8.35
= Rs. 31.95
Amount given to the bookshop = Rs. 50
Balance amount to get back = Rs. 50.00 - Rs. 31.95
= Rs. 18.05
Working:
$\ {19.75}\\{+3.85}\\ \underline{+8.35}\\\ \underline{ 31.95}$

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Question 73 Marks

The distance between Reeta’s house and her office is 14km. She covers 10km 65m by scooter, 3km 75m by bus and the rest on foot. How much distance does she cover by walking?

Answer

Total distance = 14km
Distance covered by scooter = 10km 65m
Distance covered by bus = 3km 75m
Total distance covered by scooter and by bus = 10km 65m + 3km 75m
= 10.065km + 3 075m
= 13.140km
Remaining distance covered by walking
= (14.000 - 13.140)km
= 0.860km
= 860m
Working:
$\ {10.065}\\ \underline{+3.075}\\ \underline{\ 13.140}$
$\ \ \ {14.000}\\ \underline{-13.140}\\\ \underline{\ \ 00.860}$

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Question 83 Marks

Simplify:
76.3 - 7.666 - 6.77

Answer

76.3. - 7.666. - 6.77
= 76.300 - 7.666 - 6.770
(Converting into like decimals)
= 76.300 - 14.436
= 61.864
Working:
$\ \ \ \ {7.666}\\\ \underline{+6.770}\\ \underline{\ \ 14.436}$
$\ \ \ 76.300\\ \underline{-14.436}\\ \underline{\ \ \ 61.864}$

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Question 93 Marks

Sunita purchased 5kg 75g of fruits and 3kg 465g of vegetables, and put them in a bag. If this bag with these contents weighs 9kg, find the weight of the empty bag.

Answer

Weight of fruits = 5kg 75gWeight of vegetables = 3kg 465kg
Total weight of both = 5kg 75g + 3kg 465g = 5.075kg + 3.465kg = 8.540kg Gross weight of bag with these things = 9kg Net weight of bag = 9.000 - 8.540 = 0.460kg = 460g Working: $\ \ \ {5.075}\\ \underline{+3.465}\\\ \underline{\ \ 8.540}$ $\ \ \ {9.000}\\ \underline{-8.540}\\\ \underline{\ \ 0.460}$

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Question 103 Marks

Simplify:
37.6 + 72.85 - 58.678 - 6.09

Answer

Converting them in like decimals
37.600 + 72.850 - 58.678 - 6.090
= (37.600 + 72.850) - (58.678 + 6.090)
= 110.450 - 64.768
= 45.682
Working:
$\ \ \ 37.600\\ \underline{+72.850}\\ \underline{\ 110.450}$
$\ 110.450\\ \underline{-64.768}\\ \underline{\ \ \ 45.682}$
$\ 58.678\\ \underline{+6.090}\\ \underline{\ 64.768}$

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Question 113 Marks

Ramesh covers 36km 235m by taxi, 4km 85m by rickshaw and 1km 80m on foot. What is the total distance covered by him?

Answer

We have:
Distance covered during the taxi 36.235km.
Distance covered by the rickshaw 4.850km.
Distance covered by the foot 1.800km.
The total distance is,
$\ \ \ \ \ 4.850\\ \ \ \ \ \ 1.800\\ \underline{+36.235}\\ \ \ \ \underline{41.328}$
Hence, the length of his journey = 41.400km = 41km 400m.

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Question 123 Marks

During three days of a week, a rickshaw puller earns Rs. 32.60, Rs. 56.80 and Rs. 72 respectively. What is his total earning during these days?

Answer

We have:
1st day 32.60 rupees.
2nd day 56.80 rupees.
3rd day 72.00 rupees.
Total earning in three days,
$\ \ \ 32.60\\\ \ \ 56.80\\\underline{+72.00}\\ \underline{\ 161.40\ }$
Hence, the earning money of the rickshaw puller is 161.40 rupees.

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Question 133 Marks

A bag contains 45kg 80g of sugar and the mass of the empty bag is 950g. What is the mass of the bag containing this much of sugar?

Answer

Weight of empty bag = 0.950kg.
Weight of the sugar filled in it = 45.800kg.
Total weight,
$\ \ \ \ \ 0.950\\ \underline{+45.080}\\ \underline{\ \ \ 46.030}$
Hence, the total weight of the bag filled with sugar = 46.30kg = 46kg 30g.

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Question 143 Marks

If the school bags of Neelam and Garima weigh 6kg 80g and 5kg 265g respectively, whose bag is heavier and by how much?

Answer

Weight of Neelam’s bag = 6kg 80g
Weight of Garima bag = 5kg 265g
Difference in their weights = 6kg 80g - 5kg 265g
= 6.080kg - 5.265kg
= 0.815kg
= 815g
Neelam’s bag is heavier by 815g
Working:
$\ \ \ \ {6.080}\\\ \underline{-5.265}\\\ \underline{\ \ \ 0.815}$

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Maths 3 Mark Question

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