Grade 6 Second quarter at school

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1 ID : ww-6-second-quarter-at-school [] Grade 6 Second quarter at school For more such worksheets visit wwwedugaincom Answer t he quest ions () Shade the images to show the f ollowing f raction addition and makes (2) The local community park has space allocated f or jogging, music, and sports 6 of the park has been allocated f or sports, and out of the sports area 5 6 has been given f or playing f ootball What ratio of the park is given f or playing f ootball? (3) Write these decimal numbers in expanded f orm: (4) A snail can move a distance of 593 meters in 27 hours What distance can it travel in ten hours? (5) What do you get when you subtract the sum of and 9572 f rom 64? (6) An earthworm can move a distance of 936 meters in 24 hours What distance can it travel in 2 days? Choose correct answer(s) f rom given choice (7) Which of the f ollowing is the mixed f raction equivalent of 47 a 4 9 c 24 b 3 8 d 3 8

2 (8) What is the multiplicative inverse of 647? a 647 b 647 ID : ww-6-second-quarter-at-school [2] c d 647 (9) A decimal number can be written as the sum of a even numbers b odd numbers c f ractions d proportions () Take away One Tenths seven times f rom and you are lef t with a 03 b 07 c 0 d none of these Fill in the blanks () Add the f ollowing f ractions and reduce them to the simplest f orm: A) + 5 B) C) D) E) F) (2) The value of is () The number one Ten thousandths can be written as in f ractions (4) There are 30 students in class 8 There are boys in the class The f raction of girls in the class is?

3 ID : ww-6-second-quarter-at-school [3] (5) The parking lot of the Shopping Complex has a capacity of 53 cars On Wednesday of 7 the parking lot was occupied with cars more cars can park there 206 Edugain (wwwedugaincom) All Rights Reserved Many more such worksheets can be generated at wwwedugaincom

Answers ID : ww-6-second-quarter-at-school [4] () 3 + 4 + (2) 5 Step : Let the area of

allocated f or playing f ootball out of the sports area 5 6 of the sports area 5 6 5 6

4 Answers ID : ww-6-second-quarter-at-school [4] () (2) 5 Step : Let the area of the f ull park be The area allocated f or sports 6 of the total park area 6 6 The area allocated f or playing f ootball out of the sports area 5 6 of the sports area Thus the ratio of the park given f or playing f ootball is 5 (3)

5 (4) 59 ID : ww-6-second-quarter-at-school [5] Step The distance the snail can move in 27 hours 593 metres The distance it can move in hour metres The distance it can move in hours metres Theref ore, the snail can move 59 metres in ten hours (5) 856 Step Let us f irst f ind the sum of the Like Decimal numbers and 9572 Decimals with the same number of decimal places are called Like Decimals Let us add starting f rom the hundredths and carry over if needed The decimal point in the answer will be placed as being placed in the addends: Ten Thousands Thousands Hundreds Tens Ones Tenth Hundredth Let us now subtract the sum 5286 f rom 64 by placing the digits of these two Like Fractions according to their place values Ten Thousands Thousands Hundreds Tens Ones Tenth Hundredth Hence, when we subtract the sum of and 9572 f rom 64, we get 856 (6) 872

6 (7) b 3 8 Step ID : ww-6-second-quarter-at-school [6] A f raction is a number representing a part of a whole The whole maybe a single object or a group of objects An Improper Fraction is a type of f raction in which the numerator is greater than the denominator A Mixed Fraction is a f raction which can be expressed as the sum of a whole number and a proper f raction We have an improper f raction 47 equal parts wherein 47 >, which means 47 must be divided into In order to convert the improper f raction 47 numerator 47 by the denominator : Dividend into mixed f raction, let us divide the Divisor ) 4 7 ( 3 Quotient 3 9 Remainder 8 Af ter dividing 47 by, we get remainder 8, quotient 3 and the divisor Step 5 A mixed f ractions is represented as: Quotient Remainder Divisor Thus, 47 can be written as: 3 8 Step 6 Thus, af ter converting the improper f raction 47 into mixed f raction, we get 3 8

7 (8) d 647 Step ID : ww-6-second-quarter-at-school [7] Two number f ractions whose product is are called multiplicative inverse of each other Let us f irst write the whole number 647 into f ractions as 647 To get the multiplicative inverse, let us interchange the numerator and the denominator as 647 Hence, the multiplicative inverse of 647 is 647 A way to verif y our answer is to see that (9) c f ractions Step All decimal numbers can be written as f ractions For example, 5 3 2, Theref ore, we can say that a decimal number can also be written as the sum of f ractions

8 () a 03 ID : ww-6-second-quarter-at-school [8] Step Look at the question caref ully and notice that One Tenths of, and seven times of 7 07 Now take One Tenths seven times f rom or subtracting 07 f rom Theref ore the lef t value with you, when you take away One Tenths seven times f rom is 03

9 ID : ww-6-second-quarter-at-school [9] () A) Step We need to add the f ollowing unlike f ractions: Let us f irst convert them to like f ractions Let us f ind the LCM of the denominators and The LCM of and is and 5 What should we multiply to the denominator to get the LCM? It is 2 So, the f irst f raction can be written as: 2 20 Similarly, the second f raction can be written as: 5 5 Step 5 Let us add the like f ractions, we may still not get the simplest f orm Step 6 The HCF of 35 and is This means that the sum 35 simplest f orm is already in the Step 7 Thus the sum of the given f ractions is 35

10 ID : ww-6-second-quarter-at-school [] B) Step We need to add the f ollowing unlike f ractions: 4 7 Let us f irst convert them to like f ractions Let us f ind the LCM of the denominators 7 and 4 The LCM of 7 and 4 is 697 and 20 4 What should we multiply to the denominator 7 to get the LCM 697? It is So, the f irst f raction can be written as: Similarly, the second f raction can be written as: Step 5 Let us add the like f ractions, we may still not get the simplest f orm Step 6 The HCF of 94 and 697 is This means that the sum 94 simplest f orm 697 is already in the Step 7 Thus the sum of the given f ractions is

11 ID : ww-6-second-quarter-at-school [] C) Step We need to add the f ollowing unlike f ractions: 8 and 27 Let us f irst convert them to like f ractions Let us f ind the LCM of the denominators and The LCM of and is 506 What should we multiply to the denominator to get the LCM 506? It is 506 So, the f irst f raction can be written as: Similarly, the second f raction can be written as: Step 5 Let us add the like f ractions, we may still not get the simplest f orm Step 6 The HCF of 665 and 506 is This means that the sum 665 simplest f orm 506 is already in the Step 7 Thus the sum of the given f ractions is

12 ID : ww-6-second-quarter-at-school [2] D) Step We need to add the f ollowing unlike f ractions: 7 8 and 7 Let us f irst convert them to like f ractions Let us f ind the LCM of the denominators 8 and The LCM of 8 and is 98 What should we multiply to the denominator 8 to get the LCM 98? It is 98 8 So, the f irst f raction can be written as: Similarly, the second f raction can be written as: Step 5 Let us add the like f ractions, we may still not get the simplest f orm Step 6 The HCF of 3 and 98 is This means that the sum 3 simplest f orm 98 is already in the Step 7 Thus the sum of the given f ractions is 3 98

13 ID : ww-6-second-quarter-at-school [] E) Step We need to add the f ollowing unlike f ractions: 9 23 Let us f irst convert them to like f ractions Let us f ind the LCM of the denominators 23 and 29 The LCM of 23 and 29 is 667 and What should we multiply to the denominator 23 to get the LCM 667? It is So, the f irst f raction can be written as: Similarly, the second f raction can be written as: Step 5 Let us add the like f ractions, we may still not get the simplest f orm Step 6 The HCF of and 667 is This means that the sum simplest f orm 667 is already in the Step 7 Thus the sum of the given f ractions is 667

14 ID : ww-6-second-quarter-at-school [4] F) Step We need to add the f ollowing unlike f ractions: 7 Let us f irst convert them to like f ractions Let us f ind the LCM of the denominators and 8 The LCM of and 8 is 88 and 7 8 What should we multiply to the denominator to get the LCM 88? It is 88 4 So, the f irst f raction can be written as: Similarly, the second f raction can be written as: Step 5 Let us add the like f ractions, we may still not get the simplest f orm Step 6 The HCF of 45 and 88 is This means that the sum 45 simplest f orm 88 is already in the Step 7 Thus the sum of the given f ractions is 45 88

15 (2) 248 ID : ww-6-second-quarter-at-school [5] () The number one Ten thousandths can be written as 000 in f ractions Step The number name one Ten thousandths when converted to numerals gives us the decimal number 0000 To convert the decimal number into f raction, let's use the place value chart to see where the number is placed: Ones T enths Hundredths T housandths T en T housands H T O (/) (/0) (/00) (/000) Legend: H - Hundreds, T - Tens, O - Ones Converting the decimal number 0000 into f raction we get 000 Hence, The number one Ten thousandths can be written in f ractions as 000

16 ID : ww-6-second-quarter-at-school [6] (4) There are 30 students in class 8 There are boys in the class The f raction of girls in the class is 20 30? Step We have been asked to f ind the f raction of girls in the class 8 Let us f irst f ind the number of girls in the class Total number of students in the class 30 Number of boys in the class Number of girls in the class Total number of students in the class - Number of boys in the class Fraction of girls in the class Number of girls in the class T otal number of students Step 5 Hence, the f raction of girls in the class 8 is (5) 63 Step Total number of parking spaces 53 Number of occupied parking spaces Number of vacant parking spaces Total - Occupied

Grade 6 Decimals. Answer t he quest ions. Choose correct answer(s) f rom given choice. For more such worksheets visit

Grade 6 Decimals. Answer t he quest ions. Choose correct answer(s) f rom given choice. For more such worksheets visit ID : ae-6-decimals [1] Grade 6 Decimals For more such worksheets visit www.edugain.com Answer t he quest ions (1) What do you get when you divide 323.61 by 48.3? (2) The juice cart sells 192.65 liters