{"id":83857,"date":"2022-01-31T16:42:33","date_gmt":"2022-01-31T11:12:33","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=83857"},"modified":"2024-01-20T12:36:45","modified_gmt":"2024-01-20T07:06:45","slug":"ncert-solutions-for-class-4-mathematics-unit-12-how-heavy-how-light","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/ncert-solution\/class-4\/maths\/unit-4\/how-heavy-how-light\/","title":{"rendered":"NCERT Solutions for Class 4 Mathematics Unit-12 How Heavy ? How Light ?"},"content":{"rendered":"<h2><span style=\"color: #00ccff;\"><strong>NCERT Solutions for Class 4 Mathematics Unit-12 How Heavy ? How Light ?<\/strong><\/span><\/h2>\n<p><span style=\"color: #0000ff;\"><strong>NCERT Textbook Page 134<\/strong><\/span><br \/>\nJaiju and Mannu were shifting house. They loaded all their things on a horse- cart. There were many things like-a water tank, five sacks of wheat, three tables, an almirah, four chairs, two mattresses, three sacks of rice, a bamboo ladder, pots and pans.<br \/>\n<span style=\"color: #993366;\"><strong>1. Find out the total weight they had loaded on the cart.<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans.<\/strong><\/span> Weights of things-<br \/>\nTotal weight<br \/>\n= 500 kg + 105 kg + 50 kg + 70 kg + 30 kg<br \/>\n+ 20 kg + 40 kg + 10 kg + 10 kg = 835 kg<\/p>\n<p><span style=\"color: #993366;\"><strong>2. Which things should be removed so that the weight of the load is not more than 700 kg?<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans.<\/strong><\/span> The weight should be removed to make the weight equals to 700 kg<br \/>\n= 835 \u2013 700 = 135 kg.<br \/>\nThe weight of 3 sacks of rice = 105 kg<br \/>\nThe weight of three tables = 30 kg<br \/>\nTotal weight of these things = 105 + 30 = 135 kg<br \/>\nSo, if they remove 3 sacks of rice and three tables, then the weight will become 700 kg.<\/p>\n<p><span style=\"color: #993366;\"><strong>3. Now, you also make your own balance. Write down how you made it. Also draw a picture of your balance in the box below.<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans.<\/strong><\/span> To make a balance, I took a strong stick of suitable length, two pans, and strong thread. Pans are tied on both the end of the stick. A hole is made in the middle of the stick and it is tied with a thread. Now my balance is ready.<\/p>\n<p><span style=\"color: #0000ff;\"><strong>NCERTTextbook Page 135<\/strong><\/span><br \/>\n<strong> Activity<\/strong><br \/>\n<span style=\"color: #993366;\"><strong>1. Mannu and Jaiju put a pencil and geometry box in the two pans of the balance. Which pan will go down? Why? Draw a picture to show it.<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans.<\/strong><\/span> The pan that has geometry box will go down. Because it is heavier than pencil.<\/p>\n<p><span style=\"color: #993366;\"><strong>2. Make pairs of different things and use the balance to decide which is heavier. First guess which thing will take the pan down and then check with your balanc<span style=\"color: #993366;\">e<\/span><\/strong><strong>.<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans.<\/strong><\/span> The pairs are :<br \/>\nSocks and trouser Trouser is heavier<br \/>\nToothbrush and toothpaste toothpaste is heavier<br \/>\nGlass and spoon Glass is heavier<br \/>\nDictionary and notebook Dictionary is heavier<\/p>\n<p><strong>What is the heaviest?<\/strong><br \/>\n<span style=\"color: #993366;\"><strong>1. Can you find your own weight using this balance?<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans.<\/strong> <\/span>No.<\/p>\n<p><span style=\"color: #0000ff;\"><strong>NCERT Textbook Page 136<\/strong><\/span><br \/>\n<span style=\"color: #993366;\"><strong>1. Get a new cake of soap. The packet will have the weight written on it. You can use this soap to make your own different weights.<\/strong><\/span><br \/>\n<span style=\"color: #993366;\"><strong> The soap weighs grams(g).<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans.<\/strong><\/span> The soap weighs 100 grams.<\/p>\n<p><span style=\"color: #993366;\"><strong>2. Take a small plastic packet.<\/strong><\/span><br \/>\n<span style=\"color: #993366;\"><strong> Put it in one pan of the balance. Put the soap in the other pan. Slowly add sand to the packet till the pans are balanced.<\/strong><\/span><br \/>\n<span style=\"color: #993366;\"><strong> Close the packet with a rubber band or string. Now stick a strip of paper and<\/strong><\/span><br \/>\n<span style=\"color: #993366;\"><strong> write \u2018 g\u2019 on it.<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans<\/strong><\/span>. 100 g is written on the packet.<\/p>\n<p><span style=\"color: #993366;\"><strong>3. If you put the soap and the weight you just made together in a pan, how many grams will both these weigh?<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans.<\/strong><\/span> Both will weigh = lOOg + lOOg = 200 gm.<\/p>\n<p><span style=\"color: #0000ff;\"><strong>NCERT Textbook Page 137<\/strong><\/span><br \/>\n<strong>Practice Time<\/strong><br \/>\n<span style=\"color: #993366;\"><strong>1. Which pan of the balance will go down? Show by drawing an arrow.<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans.<\/strong><\/span> Attempt yourself.<\/p>\n<p><span style=\"color: #993366;\"><strong>2. Is the weight on any of the pans equal to 1 kilogram? Mark it.<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans.<\/strong><\/span> The left pan of the right one balance in the middle balances is equal to 1 kilogram. This is marked as \/ in the figure.<\/p>\n<p><span style=\"color: #993366;\"><strong>3. How many grams are there in 1 kg?<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans<\/strong><\/span>. There are 1000 grams in 1 kg.<\/p>\n<p><span style=\"color: #0000ff;\"><strong>NCER.T Textbook Page 138<\/strong><\/span><br \/>\n<span style=\"color: #993366;\"><strong>1. Which is heavier? One kilogram cotton or one kilogram iron?<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans.<\/strong><\/span> Both have equal weight, and both are equal.<\/p>\n<p><span style=\"color: #0000ff;\"><strong>NCERT Textbook Page 139<\/strong><\/span><br \/>\n<strong>Dinesan Went Shopping<\/strong><br \/>\n<span style=\"color: #993366;\"><strong>1. Ritu is weighing her toys. She wants to know if her tractor is heavier than her car. How would you help her to find out quickly?<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans<\/strong>.<\/span> This can be done by keeping one of the toys in a pan and the other toy in another pan of the balance.<\/p>\n<p><span style=\"color: #993366;\"><strong>2. Guess which is the heaviest-a real car, a bus or a tractor?<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans.<\/strong><\/span> Abus.<\/p>\n<p><span style=\"color: #993366;\"><strong>3. Which is the heaviest thing you have seen?<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans.<\/strong> <\/span>A rail engine.<\/p>\n<p><span style=\"color: #0000ff;\"><strong>NCERT Textbook Page 142<\/strong><\/span><br \/>\n<strong>Elephant\u2019s Weight<\/strong><br \/>\n<span style=\"color: #993366;\"><strong>1. Now imagine what happened next and complete the story. Discuss with your friends how Vaidika\u2019s daughter found the weight of the elephant.<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans<\/strong><\/span>. The elephant was removed out from the boat after marking the water level on the boat. Vaidika\u2019s daughter then requested the King to, put the gold on the<br \/>\nboat till the water level touched the raised water level mark when elephant was on the boat.<br \/>\nNow king was not left with any alternative. He had to give the gold as the weight of elephant to the Vaidika.<\/p>\n<p><span style=\"color: #0000ff;\"><strong>NCERT Textbook Page 143<\/strong><\/span><br \/>\n<strong>How much the Chair Weighs<\/strong><br \/>\n<span style=\"color: #993366;\"><strong>1. Anamika wants to weigh this chair using the weighing machine. Can you suggest a way for doing this?<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans.<\/strong><\/span> Anamika should put a flat wooden slab on the weighing machine, oh which chair can be kept easily, and record its weight. Then she should put the chair on the slab kept on the weighing machine.<br \/>\nThe difference in the weight of the chair with wooden slab and weight of the wooden slab will give the weight of chair.<\/p>\n<p><span style=\"color: #0000ff;\"><strong>NCERT Textbook Page 144<\/strong><\/span><br \/>\n<strong>Broken Stones<\/strong><br \/>\n<span style=\"color: #993366;\"><strong>1. Now you show how Abdu will use these stone pieces to weigh\u2014<\/strong><\/span><br \/>\n<span style=\"color: #993366;\"><strong> (a) 4 kg of firewood <\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans.<\/strong> <\/span>Abdu can weigh 4 kg of wood by keeping broken stone of 6 kg on the left pan and broken stone of 2 kg on the right pan with firewoods.<br \/>\nThe difference = 6-2 = 4 kg, which will give the weight of firewood.<br \/>\n<span style=\"color: #993366;\"><strong>(b) 3 kg of firewood.<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans.<\/strong><\/span> By keeping broken stone of 5 kg on left pan and broken stone of 2 kg on right pan with firewood.<br \/>\nThe difference of weight = 5-2 = 3 kg, which will balance the two pan of balance by firewood.<br \/>\n<span style=\"color: #993366;\"><strong>(c) 7 kg of firewood.<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans.<\/strong><\/span> By putting broken stone of 5 kg and 2 kg on left pan. And firewood on right pan.<\/p>\n<p><span style=\"color: #0000ff;\"><strong>NCERT Textbook Page 145<\/strong><\/span><br \/>\n<strong>Post Office<\/strong><br \/>\n<span style=\"color: #993366;\"><strong>1. Have you ever been to a post office?<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans.<\/strong><\/span> Yes I have been to a post office.<\/p>\n<p><span style=\"color: #993366;\"><strong>2. What different things do people go there for?<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans.<\/strong> <\/span>People go there to post the letters, to send money orders, to parcels, for banking and to purchase the post cards, inland, envelop or stamps etc.<\/p>\n<p><span style=\"color: #993366;\"><strong>3. How much does a postcard cost?<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans.<\/strong> <\/span>A postcard costs Rs 0.50.<\/p>\n<p><span style=\"color: #993366;\"><strong>4. How much does an inland letter cost?<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans.<\/strong> <\/span>An inland letter costs Rs 2.50.<br \/>\nLook at the postal rates given in the chart.<\/p>\n<p><span style=\"color: #993366;\"><strong>5. How much will you have to pay for stamps on a letter weighing 50 grams?<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans.<\/strong><\/span> Upto 20 grams the stamps required = Rs 5.00<br \/>\nFor next 20 grams      = Rs 2.00<br \/>\nFor next 10 grams      = Rs 2.00<br \/>\nTotal stamps of cost   = Rs 5.00 + Rs 2.00 + Rs 2.00<br \/>\n= Rs 9.00<br \/>\nSo, I have to pay Rs 9.00 for stamps to send the letter weighing 50 grams.<\/p>\n<p><span style=\"color: #993366;\"><strong>6. Akash wants to send a parcel of the Math Magic textbook to his friend Rani in Chennai. The book weighs 200 g. See the chart to find the cost of posting the book.<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans.<\/strong> <\/span>To send the book Akash has to parcel it. He has to pay the costs for parcel as follows:<br \/>\nThe weight of book is 200 grams<br \/>\nThe cost of parcel upto 50 grams = Rs 5.00<br \/>\nThe cost of additional 150 grams = Rs 3.00 x3 = Rs 9.00<br \/>\nTotal cost = Rs 5.00 + Rs 9.00 = Rs 14.<\/p>\n<p><span style=\"color: #993366;\"><strong>7. Read the weight shown in the picture. Find out the cost of sending a parcel of that weight.<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans.<\/strong><\/span> The weighing machine showing the weight of parcel = 225 gram<br \/>\nPostal charges for 50 grams = Rs 5.00<br \/>\nFor additional 50 grams = Rs 3.00<br \/>\nFor next 50 grams = Rs 3.00<br \/>\nFor next 50 grams = Rs 3.00<br \/>\nFor next 50 grams = Rs 3.00<br \/>\nTotal postal charges=Rs 5.00 + Rs 3.00 + 3.00 + Rs 3.00 + Rs 3.00<br \/>\n= Rs17.00<\/p>\n<p><span style=\"color: #0000ff;\"><strong>NCERT Textbook Page 146<\/strong><\/span><br \/>\n<strong>How Many Stamps?<\/strong><br \/>\n<span style=\"color: #993366;\"><strong>1. Rahul needs stamps of Rupees 25 for his parcel. He went to the post office. Only stamps of Rs 1,Rs 2,Rs 5 and Rs 10 were there at that time. Using those stamps in how many different ways can he make Rs 25?<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans.<\/strong><\/span> The ways he can make Rs 25 using those available stamps \u2013<br \/>\n(a) Rs l Rs 25 = Rs25<br \/>\n(b) Rs 2 Rs 12 + Rs 1 = Rs24 + Rs1 =Rs 25<br \/>\n(c) Rs 5 Rs 5 = Rs 25<br \/>\n(d) Rs 10 Rs 2 + Rs 5 = Rs 20 + Rs 5 = Rs 25<br \/>\n(e) Rs 10 + Rs 5 Rs 3 = Rs 10 + Rs 15 = Rs 25<\/p>\n<p><strong>Our Weight Together<\/strong><br \/>\nA frog was struggling to escape from the mouth of a crow. How can I escape? The frog thought. Suddenly a trick came to his mind. He asked the crow-Are you good at arithmetic? If yes, then I will ask you a problem.<br \/>\nYour weight is 650 g and I am only 145 g. How much do we weigh together? The crow was good at mathematics, so he happily opened his beak to answer.<br \/>\n<span style=\"color: #993366;\"><strong>1. What happened after that? So what was the ahswer the crow wanted to give?<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans.<\/strong><\/span> To say the answer as crow opened his mouth, frog escaped out from his mouth, Crow gave the answer as-together our weight was 795 gm.<\/p>\n<p><span style=\"color: #0000ff;\"><strong>NCERT Textbook Page 148<\/strong><\/span><br \/>\n<strong>How Many Oranges?<\/strong><br \/>\n<span style=\"color: #993366;\"><strong>1. All oranges have equal weight. The two papayas have the same weight. The weights in the first and second balances are equal. How many oranges balance the weight in the third?<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans.<\/strong><\/span> In first balance-<br \/>\n1 Mango + 1 orange = 3 orange<br \/>\nTherefore, 1 mango = 3 orange \u2013 1 orange<br \/>\n= 2 orange<br \/>\nIn second balance,<br \/>\n2 papaya = 2 orange + 1 mango<br \/>\n= 2 orange + 2 orange (Because 1 mango = 2 orange)<br \/>\n= 4 orange<br \/>\nTherefore, 1 papaya = 2<br \/>\norange In third balance,<br \/>\n1 papaya + 1 mango = 2 orange + 2 orange (Because 1 papaya = 2 orange and 1 mango = 2 orange)<br \/>\n= 4 orange.<br \/>\nHence, 4 oranges will balance the one papaya and together with one mango in third balance.<\/p>\n<p><strong>Find that Marble<\/strong><br \/>\n<span style=\"color: #993366;\"><strong>1. There are 3 marbles of the same size but one marble is slightly heavier or lighter than the other two. Can you find which is that marble and if it is heavier or lighter? You can use a balance only two times.<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>Ans.<\/strong><\/span><br \/>\nLet Ml, M2 and M3 be the three marbles. One of them is heavier or lighter than the others.<br \/>\nPut marbles Ml and M2 in different pans.<br \/>\nCase-I-If both will be equal, then M3 is heavier or lighter than these marbles.<br \/>\nCase-II-Put Ml and M3 in different pan,<br \/>\n(i) if they are equal then M2 is heavier or lighter.<br \/>\n(ii) Ml &lt; M3, then M2 = M3 and Ml is lighter than Ml and M3.<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 4 Mathematics Unit-12 How Heavy ? How Light ? 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