Grade 6 Percentage. Answer t he quest ions. Choose correct answer(s) f rom given choice. Fill in the blanks

Transcription

1 ID : ae-6-percentage [1] Grade 6 Percentage For more such worksheets visit Answer t he quest ions (1) Find: A) 7% of 112 Km. B) 0.2% of 122 hours C) 2% of 381 seconds D) 0.6% of 194 seconds E) 0.9% of 66 seconds F) 9% of 434 litres (2) If x is 20% more than y, then y is less than x by what percentage? (3) Find the value of : A) % of 336 B) 60 % of 22 C) 40.8 % of 905 D) 85 % of 15 (4) Convert the f ollowing percent into f ractions in the simplest f orm: A) 2 % B) 28 % C) 69 % D) 18 % Choose correct answer(s) f rom given choice (5) (15% of 80) - (80% of 15) a. -1 b. -2 c. 1 d. 0 (6) 6 % of 0.96 is same as a. 60% of 9.6 b. 60% of 96 c. 0.6% of 9.6 d. none of these (7) What f raction of f ollowing letters can not be drawn using straight lines? E I N T X Y B G O U a. 40 % b. 60% c. 30% d. 50% (8) (8% of Dhs) + Dhs8 + (% of Dhs8)? a. Dhs 888 b. Dhs 24 c. Dhs808 d. Dhs16 Fill in the blanks

2 ID : ae-6-percentage [2] (9) Convert the f ollowing ratios into percent: (Write answers upto 3 decimal places) A) B) % C) % % D) E) 27 9 F) % % % (10) Convert the f ollowing percent into decimal: A) 138 % B) 293 % C) 28.1 % D) 166 % E) 119 % F) % (11) An electrician bought an old TV f or Dhs1150. He then spent Dhs105 f or f ixing it, and then sold it f or Dhs He gained % in total. (12) Barakah stays in the school hostel and gets Rs f rom home every month. She spends 17 percent of this amount on hostel f ees. The monthly hostel f ees is Rs. (13) Find the number whose: A) is 85% of number? B) 1.84 is 46% of number? C) 6.58 is 47% of number? D) 10.5 is 70% of number? (14) What percent of : A) 14 years is days % B) 60 dozens is % C) 86 days is hours % D) 41 years is days % E) 22 days is hours % F) 96 Km. is meters % Check True/False (15) 17% of 42% of % of 17% of 1200 True False 2016 Edugain ( All Rights Reserved Many more such worksheets can be generated at

3 ID : ae-6-percentage [3]

4 Answers ID : ae-6-percentage [4] (1) A) 7.84 Km. If you read the question caref ully, you will notice that you have to f ind out the 7% of 112 Km.. We can write 7% of 112 Km. as: 7% of 112 Km % Km. Now 7% of 112 Km. is 7.84 Km.. B) hours If you read the question caref ully, you will notice that you have to f ind out the 0.2% of 122 hours. We can write 0.2% of 122 hours as: 0.2% of 122 hours % hours Now 0.2% of 122 hours is hours.

5 C) 7.62 seconds ID : ae-6-percentage [5] If you read the question caref ully, you will notice that you have to f ind out the 2% of 381 seconds. We can write 2% of 381 seconds as: 2% of 381 seconds 381 2% seconds Now 2% of 381 seconds is 7.62 seconds. D) seconds If you read the question caref ully, you will notice that you have to f ind out the 0.6% of 194 seconds. We can write 0.6% of 194 seconds as: 0.6% of 194 seconds % seconds Now 0.6% of 194 seconds is seconds.

6 E) seconds ID : ae-6-percentage [6] If you read the question caref ully, you will notice that you have to f ind out the 0.9% of 66 seconds. We can write 0.9% of 66 seconds as: 0.9% of 66 seconds % seconds Now 0.9% of 66 seconds is seconds. F) litres If you read the question caref ully, you will notice that you have to f ind out the 9% of 434 litres. We can write 9% of 434 litres as: 9% of 434 litres 434 9% litres Now 9% of 434 litres is litres.

7 (2) % ID : ae-6-percentage [7] We have been told that x is 20% more than y. This statement can be written as: x y + (y 20 ) The above equation tells us how to calculate x in terms of y. Let us simplif y the above equation and rearrange it so that it tells us how to write y in terms of x. The above equation implies: x y + y 5, which implies, x y( ) which implies, x y( ) which implies, x 6y 5 which implies, y 5x 6 Now, let us try to write rewrite the right hand side of the above equation as "x - something". This can be done by adding (x - x) to the right hand side. We can do that because (x - x) is zero. Our equation now becomes: y x - x + 5x 6 which implies, y x - (x - 5x 6 ) which implies, y x - 6x - 5x 6 which implies, y x - x 6 Step 4 Looking at the equation above, now we know that:"y is less than x by a f actor of 1 6 ". Step 5 To convert a f actor into percentage, we need to multiply the f actor by. This means, f ollowing two statements mean the same:

8 ID : ae-6-percentage [8] "y is less than x by a f actor of 1 6." AND "y is less than x by 6 percent." Step 6 If we write the percentage we just f ound as a mixed f raction, we can say that: 2 "y is less than x by 16 %" 3 (3) A) We have been asked to f ind the value of 17.9 % of % of 336 means % Theref ore, 17.9 % of 336 is

9 C) ID : ae-6-percentage [9] We have been asked to f ind the value of 40.8 % of % of 905 means % Theref ore, 40.8 % of 905 is D) We have been asked to f ind the value of 85 % of % of 15 means % Theref ore, 85 % of 15 is

10 (4) A) 1 ID : ae-6-percentage [10] 50 To convert any percent into f raction, we have to divide it by. 2 % can be converted into f raction as: 2 % Now the f raction of 2 % in the simplest f orm is B) 7 25 To convert any percent into f raction, we have to divide it by. 28 % can be converted into f raction as: 28 % Now the f raction of 28 % in the simplest f orm is 7 25.

11 ID : ae-6-percentage [11] C) 69 To convert any percent into f raction, we have to divide it by. 69 % can be converted into f raction as: 69 % Now the f raction of 69 % in the simplest f orm is 69. D) 9 50 To convert any percent into f raction, we have to divide it by. 18 % can be converted into f raction as: 18 % Now the f raction of 18 % in the simplest f orm is (5) d. 0 (15% of 80) 80 15/ (15% of 80) (15 80)/ (80% of 15) 15 80/ (80% of 15) (15 80)/ Now we can f ind value of required expression, (15% of 80) - (80% of 15) (15 80)/ - (15 80)/, 0

12 (6) c. 0.6% of 9.6 ID : ae-6-percentage [12] If we multiply and divide any number by the same number, then the number can't be ef f ected. Theref ore 6 % 0f 0.96 can be written as: 6 % 0f % 0f % 0f % 0f 9.6 Now we can say that 6 % of 0.96 is same as 0.6 % 0f 9.6 (7) a. 40 % E I N T X Y B G O U If you look at the given letters caref ully, you will notice that the letters that can not be drawn using straight line are B G O U. Since the number of letters that can not be drawn using straight line 4, total number of letters 10 Now the percentage of the letters that can not be drawn using straight lines Letters that can not be drawn using straight lines Total number of letters %. (8) b. Dhs 24 (8% of Dhs) 8/ Dhs8 (% of Dhs8) 8 / Dhs8 Theref ore, (8% of Dhs) + Dhs8 + (% of Dhs8) Dhs8 + Dhs8 + Dhs8 Dhs24

13 (9) A) ID : ae-6-percentage [13] To convert any f raction into percent, we have to multiply it with. Fraction can be converted into percent as: % Now the percent of f raction is %. B) To convert any f raction into percent, we have to multiply it with. Fraction can be converted into percent as: % Now the percent of f raction is %.

14 C).000 ID : ae-6-percentage [14] To convert any f raction into percent, we have to multiply it with. Fraction can be converted into percent as: % Now the percent of f raction is.000 %. D) To convert any f raction into percent, we have to multiply it with. Fraction can be converted into percent as: % Now the percent of f raction is %.

15 E) ID : ae-6-percentage [15] To convert any f raction into percent, we have to multiply it with. Fraction 27 9 can be converted into percent as: % Now the percent of f raction 27 9 is %. F) To convert any f raction into percent, we have to multiply it with. Fraction can be converted into percent as: % Now the percent of f raction is %.

16 (10) A) 1.38 ID : ae-6-percentage [16] To convert any percent into decimal, we have to divide it by. 138 % can be converted into decimal as: 138 % Now the decimal of 138 % is B) 2.93 To convert any percent into decimal, we have to divide it by. 293 % can be converted into decimal as: 293 % Now the decimal of 293 % is C) To convert any percent into decimal, we have to divide it by % can be converted into decimal as: 28.1 % Now the decimal of 28.1 % is

17 D) 1.66 ID : ae-6-percentage [17] To convert any percent into decimal, we have to divide it by. 166 % can be converted into decimal as: 166 % Now the decimal of 166 % is E) 1.19 To convert any percent into decimal, we have to divide it by. 119 % can be converted into decimal as: 119 % Now the decimal of 119 % is F) To convert any percent into decimal, we have to divide it by % can be converted into decimal as: % Now the decimal of % is

18 (11) 4 ID : ae-6-percentage [18] Since electrician bought TV f or Dhs1150 and spent Dhs105 f or f ixing it, theref ore the total cost incurred Dhs1255 Since he sold it f or Dhs , theref ore the selling price of TV Dhs Now gain selling price of TV - total cost of TV Dhs50.2 Step 4 Now gain percentage gain total cost of TV % Step 5 Theref ore the percentage of his gain 4% (12) Money received by Barakah every month Rs Money spend by Barakah on hostel f ees 17 % We have been asked to f ind the monthly hostel f ees of the Barakah. Monthly hostel f ees 17 % of Rs Theref ore, the monthly hostel f ees of Barakah is Rs

19 (13) A) 19 ID : ae-6-percentage [19] Lets assume is 85% of x. Now we can represents is 85% of x as: x 85% x x x x 19 Theref ore we can say that is 85% of 19. B) 4 Lets assume 1.84 is 46% of x. Now we can represents 1.84 is 46% of x as: x 46% x 1.84 x x x 4 Theref ore we can say that 1.84 is 46% of 4.

20 C) 14 ID : ae-6-percentage [20] Lets assume 6.58 is 47% of x. Now we can represents 6.58 is 47% of x as: x 47% x 6.58 x x x 14 Theref ore we can say that 6.58 is 47% of 14. D) 15 Lets assume 10.5 is 70% of x. Now we can represents 10.5 is 70% of x as: x 70% x 10.5 x x x 15 Theref ore we can say that 10.5 is 70% of 15.

21 (14) A) 62 ID : ae-6-percentage [21] Lets assume x percent of 14 years is days. Since we know that 1 year 365 days, theref ore 14 years days 5110 days Now we can represent x percent of 5110 days is days as: 5110 x x x 0.62 Converting x into percent x 0.62 % x 62 % Step 4 Theref ore we can say that 62 % of 14 years is days. B) 84 Lets assume x percent of 60 dozens is Since we know that 1 dozen 12, theref ore 60 dozens Now we can represent x percent of 720 is as: 720 x x x 0.84 Converting x into percent x 0.84 % x 84 % Step 4 Theref ore we can say that 84 % of 60 dozens is

22 C) 81 ID : ae-6-percentage [22] Lets assume x percent of 86 days is hours. Since we know that 1 day 24 hours, theref ore 86 days hours 2064 hours Now we can represent x percent of 2064 hours is hours as: 2064 x x x 0.81 Converting x into percent x 0.81 % x 81 % Step 4 Theref ore we can say that 81 % of 86 days is hours. D) 2 Lets assume x percent of 41 years is days. Since we know that 1 year 365 days, theref ore 41 years days days Now we can represent x percent of days is days as: x x x 0.02 Converting x into percent x 0.02 % x 2 % Step 4 Theref ore we can say that 2 % of 41 years is days.

23 E) 41 ID : ae-6-percentage [23] Lets assume x percent of 22 days is hours. Since we know that 1 day 24 hours, theref ore 22 days hours 528 hours Now we can represent x percent of 528 hours is hours as: 528 x x x 0.41 Converting x into percent x 0.41 % x 41 % Step 4 Theref ore we can say that 41 % of 22 days is hours. F) 28 Lets assume x percent of 96 Km. is meters. Since we know that 1 Km. 0 meters, theref ore 96 Km meters meters Now we can represent x percent of meters is meters as: x x x 0.28 Converting x into percent x 0.28 % x 28 % Step 4 Theref ore we can say that 28 % of 96 Km. is meters.

24 (15) True ID : ae-6-percentage [24] According to the question, we have been asked to verif y that 17% of 42% of % of 17% of 1200 is true or f alse. We need to check if L.H.S. R.H.S.> 17 [ ] 42 [ ] Since, all the terms are being multiplied and are same on both the sides, any order of multiplication will give the same result i.e L.H.S. R.H.S Theref ore, 17% of 42% of % of 17% of 1200 is true.