ID : in-5-3rd-quarter-in-school [1] Class 5 3rd Quarter in School For more such worksheets visit www.edugain.com Answer the questions (1) Convert the following: 11kl 7hl 96dal 54l = l (2) Each bag of pears weighs 1 kgs 280 grams. If the total weight of a sack containing pears bags is 24.32 kgs, then how many bags are in the sack? (3) Akshiti was going to a vacation with her family. She looked at the clock and it showed that the time was 08:25 PM. She calculated that they would start traveling for their vacation in exactly 11280 minutes. What will the time be when they start their vacation? (4) Matthew plays hockey every day. He starts playing at 03:45 PM everyday and plays till 04:30 PM. On Saturdays and Sundays he plays an additional 25 minutes each day. How much time does he spend playing hockey every week? (5) Meenakshi has Rs. 720 with her. She gives 5 9 of this to her sister. Out of the remaining money, she gives Rs. 80 to her brother. What fraction of the original amount is left with her? (6) What is the place 00 times smaller than the Tens place called? (7) Saina is driving down to Srinagar for a vacation, and has already traveled 59.4 kms. If she has traveled 27 of the distance, then what is the total distance she drives to get to Srinagar? (8) Seven classes will go to the science museum at Pune. The first class will arrive at science museum at the time shown on the clock below: Each class will spend 50 minutes at the science museum and then leave. The second class will arrive at the science museum as the first class leaves, and so on. What time will it be when the last class leaves the science museum? (9) Convert the following: 15kg 88g = g (10) What is the smallest number that should be added to 22.64 to give a prime number? (11) Ramakrishnan has a 85 meter long chain. He needs to cut out pieces of length 50 cm from it. How many pieces can he cut?
(12) Convert the following: 15cm 6mm = mm ID : in-5-3rd-quarter-in-school [2] Choose correct answer(s) from the given choices (13) Which kind of fraction can never be represented using the following type of figure a. Improper Fractions b. Like Fractions c. Unlike fractions d. Unit Fractions Fill in the blanks (14) The number four hundredths can be written as in fractions. (15) Convert the units: A) 50 centimeters = millimeters B) 30 centimeters = millimeters C) 25 centimeters = millimeters D) 38 centimeters = millimeters 2017 Edugain (www.edugain.com). All Rights Reserved Many more such worksheets can be generated at www.edugain.com
Answers ID : in-5-3rd-quarter-in-school [3] (1) 12714 Let us first convert the given units into litres individually. As, 1kl = 0l, 11kl = 11 x 0 = 10l. As, 1hl = l, 7hl = 7 x = 700l. As, 1dal = 10l, 96dal = 96 x 10 = 960l Step 5 Now, since all the individual units are converted into liters, we can add them together. 11kl 7hl 96dal 54l = 10l + 700l + 960l + 54l = 12714l (2) 19 Since we know that 1 kg = 0 grams, 280 grams = 280/0 = 0.280 kgs, 1 kgs 280 grams = 1.280 kgs. According to the question, the weight of each bag of pears = 1 kgs 280 grams. or we can say that, 1.280 kgs weighs of the pears contained by the bag = 1 bag. 1 or 1 kg weighs of the pears contained by the bags = bags. 1.280 Therefore, 24.32 kgs weight of the pears contained by the number of bags = = 24.32 1.280 = 24320 1280 = 19 bags Thus, the number of bags in the sack = 19 bags. 1 1.280 24.32
(3) 4:25 PM ID : in-5-3rd-quarter-in-school [4] She would leave for their vacation in exactly 11280 minutes. On dividing it by 60 we have = 188 hours and 0 minutes. 11280 60 In 188 hours, there are 188 24 = 7 days and 20 hours. This means she leaves 7 days 20 hours and 0 minute after 08:25 PM or 20:25 hours. After 7 days exactly, the time will be same 20:25 hours. Then 20:00 hours later the time will be 20:25 + 20:00 = 40:25 hours. Step 5 40:25 hours means 1 day and 16:25 hours. This means she leaves at 16:25 hours, or 4:25 PM. (4) 6 hours and 5 minutes Matthew starts playing hockey at 03:45 PM or 15:45 hours everyday and plays till 04:30 PM or 16:30 hours. The number of hours he spends playing is 16:30-15:45 = 0:45 hours. He plays for 25 minutes extra on weekends, which means he plays for 0:45 + 00:25 = 1:10 hours. Therefore on weekdays he spends 0 hour 45 minutes and on weekends he spends 1 hour and 10 minutes playing hockey. The total time he spends playing hockey every week will be 0:45 5 + 1:10 2 = 3:45 + 2:20 = 6:05 hours. (5) 1 3 The initial amount of money Meenakshi had = Rs. 720
The amount of money Meenakshi gives to her sister = 5 9 of the initial money she had ID : in-5-3rd-quarter-in-school [5] = 5 9 of Rs. 720 = 5 9 720 = 5 80... (Dividing 720 by 9) = Rs. 400 The amount remaining with her after giving money to her sister = Amount Meenakshi initially had - Amount she gave to her sister = Rs. 720 - Rs. 400 = Rs. 320 The amount Meenakshi gives to her brother = Rs. 80 Step 5 The remaining amount after giving money to her brother = Rs. 320 - Rs. 80 = Rs. 240 Step 6 Now, we know that the final amount of money left with Meenakshi is Rs. 240. We need to find what fraction of Rs. 720 is Rs. 240. This fraction will be the one with the remaining amount as numerator and the initial amount as denominator, that is, 240. 720 Step 7 240 Let us now reduce to the simplest form by dividing both the denominator and the numerator 720 by 240, the HCF of 240 and 720: 240 240 240 = 720 720 240 = 1 3 Step 8 Hence, the fraction of the original amount that is left with Meenakshi is 1 3.
(6) The Thousandths Place ID : in-5-3rd-quarter-in-school [6] In order to find the place value which is 00 times smaller than the Tens place, let us divide 10 by 00: 10 = 0.001 00 Let us see what is the place of 1 in the number 0.001: Thousands Ones Tenths Hundredths Thousandths Ten thousandths TTH TH H T O. (1/10) (1/) (1/0) (1/00) 0. 0 0 1 Legend: TTH - Ten Thousands, TH - Thousands, H - Hundreds, T - Tens, O - Ones. We see that 1 is placed in the Thousandths place. Therefore, the place 00 times smaller than the Tens place is called the Thousandths place. (7) 220 km Let us assume that Saina travels a distance of km. 27 of km will be 27 = 27 km. When she has already covered a distance of 27 km, the total distance is km. If the covered distance was 1 km, the total distance would be. 27 Since the covered distance is 59.4 km, the total distance would be equal to km. 27 59.4 = 220 Hence the total distance she drives to get to Srinagar is 220 km.
(8) 2:50 ID : in-5-3rd-quarter-in-school [7] There are 7 classes in total that are going to visit the science museum. Each class is supposed to spend 50 minutes in the museum. Therefore total time spent in the museum = 7 50 minutes, or 350 minutes. Let us divide 350 minutes by 60 to convert it into hours: 350 60 = 5 hours and 50 minutes. The time on the clock now is 9:0 hours. 5 hours 50 minutes later the time will be 9:00 + 5:50 = 14:50 hours or 2:50. (9) 15088 Since we know that there are 0 grams in 1kg. The above given quantity 15kg 88g becomes 15000g + 88g = 15088g. (10) 0.36 We know that 22.64 is not a prime number. On close observation, we find that the nearest prime number higher than 22.64 is 23. Therefore, the smallest number that should be added to 22.64 to make it prime = 23-22.64 = 0.36.
(11) 170 ID : in-5-3rd-quarter-in-school [8] Total length of the chain = 85 m Length of each piece needed = 50 m Total number of pieces that Ramakrishnan can cut = Total length of the chain Length of the piece = 85 m 50 cm 85 cm = 50 cm = 170 Therefore, Ramakrishnan can cut 170 pieces of length 50 cm from a chain of length 85 m. (12) 156 We know that there are 10mm in 1cm. Therefore, in 15cm there will be 15 10 = 150mm. Hence, 15cm 6mm = 150mm + 6mm = 156mm. (13) a. Improper Fractions
ID : in-5-3rd-quarter-in-school [9] (14) The number four hundredths can be written as 4 in fractions. The number name four hundredths when converted to numerals gives us the decimal number 0.04. To convert the decimal number into fraction, let's use the place value chart to see where the number 4 is placed: Ones Tenths Hundredths Thousandths Ten Thousands H T O. (1/10) (1/) (1/0) (1/00) 0. 0 4 Legend: H - Hundreds, T - Tens, O - Ones. Converting the decimal number 0.04 into fraction we get 4. Hence, the number name four hundredths can be written in fractions as 4. (15) A) 500 We know that there are 10 millimeters in 1 centimeter. Therefore, in 50 centimeters there will be 50 10 = 500 millimeters.
ID : in-5-3rd-quarter-in-school [10] B) 300 We know that there are 10 millimeters in 1 centimeter. Therefore, in 30 centimeters there will be 30 10 = 300 millimeters. C) 250 We know that there are 10 millimeters in 1 centimeter. Therefore, in 25 centimeters there will be 25 10 = 250 millimeters. D) 380 We know that there are 10 millimeters in 1 centimeter. Therefore, in 38 centimeters there will be 38 10 = 380 millimeters.