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14 A rational number is said to be in standard form if is positive and H C F of is. a 1 b 10 c 10 d 5, 15 A rational number is said to be in standard form if. a q is positive b HCF of p and q is 1 c both i and ii d none of these. 16 Between two consecutive integers how many rational numbers are found. a one b two c infinitely many d none of these, ,17 if. , a p y b s x c p y s x d none of these, 18 When is written as a rational number with denominator 45 then the numerator is. a 15 b 25 c 27 d 33, 19 Every rational number is, a an integer b a fraction c a natural number d None of. 20 On a number line the length of the line segment joining 3 and 3 is units. a 6 b 3 c 3 d 0, 21 On a number line which of the following number lies to the right of 5 .

1 15 11, a 0 b c d , 2 7 2,22 Express as rational number with numerator 21 . 23 2,23 Find the value of x if , x 8, 24 What is the multiplicative identity element in the set of whole number . 25 What is the standard form of ,26 Reciprocal of is . 27 If x less than zero then the absolute value of x is . 1 1,28 which is a fraction , 2 2, SECTION B 2Marks . 2 1,1 Which one is greater or, 5 3, 2 Write down the rational numbers in the form whose numerators and denominators are 5 4.

and 5 4 respectively ,3 Find three rational numbers between 1 and 2 . 2,4 Find three equivalent rational numbers of , 7 14. 5 Fill in the blanks , 9 27, 6 Represent the rational number on the number line 513. 4 3,7 Compare and , 9 7, 8 , 8 Find x such that the two rational numbers and become equivalent . 7 35, 9 The sum of two rational numbers is 5 If one of the number is find the other.

3 13,10 Represent and on number line, 5 3, 11 Insert two rational numbers between 3 4 and 9 8. 1 3,12 Find a rational number between and , 4 4,13 Represent on number line . 104 4 100,14 Fill in the blanks , 9 ,15 Write the rational numbers in standard form. 15 27, i ii , 40 243,16 Express as a rational no with denominator 7 . 15 3, 17 Find x such that the rational numbers in and are equivalent.

8, 4 5 7 11, 18 Arrange the following rational numbers in descending order . 9 6 12 24, 4 5 6 54,19 Compare the rational numbers i ii . 7 9 7 63, 64 27, 20 Write the following rational numbers in standard form . 20 15, 1 1, 21 On a number line what is the length of the line segment joining i and ii 5 and 3. 2 2, SECTION C 3Marks , 1 3 7,1 Represent on the same number line .

5 5 5,2 Find x if , 1 1, 3 On a number line what is the length between and 2 . 5 5, 8 8,4 Compare the pair of rational numbers and . 7 5, 2 5 7,5 Which one is greatest out of , 5 5 5. 6 Arrange the following in ascending order , 4 5 2 1. , 7 9 5 3, 7 Arrange the following rational number in descending order .

i 3 10 7 5 9 15 18 30, ii 3 4 5 12 7 16 3 2, 105 5. 8 a Find the missing number , 99 11, 5 9, b Compare and. 7 13, 2 1,9 Find any three rational numbers between and . 3 2,10 Represent the following on the number line . 2 25, a , 3 6, 11 Express as a rational number with i numerators 12 ii denominator 42.

, 12 Find the reciprocal of x x, , 6 2 7 8, 13 Arrange the rational numbers in descending order . 5 3 10 15, 16 12 7 6, 14 Arrange the rational numbers in ascending order . 15 30 10 15, SECTION D 4Marks , 1 1,1 Find five rational numbers between and . 3 2, , 2 For x and y insert a rational number between x y 1 and x 1 y 1 . ,3 Express as a rational number with, i Numerator 12 ii Denominator 100 iii Numerator 72 iv Denominator 75.

4 Check whether the following are equivalent rational numbers or not . 4 16 3 18, i and ii and, 9 27 5 30, 4 5,5 i Compare the rational numbers and. 9 6, ii On number line what is the length of line segment joining 1 2 and . iii Express as a rational number with a denominator 28 b numerator 36. 6 a Express as a rational number with numerator 5, b Find x such that the rational numbers and 13 become equivalent . 7 i Express as a rational number with, a Denominator 54 . b Numerator 20, ii Find X such that,8 Arrange the following in ascending order .

9 a Arrange 4 5 2 in ascending order , b Fill in the blanks. 36 4, 84, 9 , 10 a Express as a rational number with numerator 5 . b Find x such that the rational numbers and 13 become equivalent . 11 a Arrange the following rational numbers in descending order . 4 5 7 2, , 9 12 18 3, 5 , b Find the value of X such that the rational numbers and are. 7 28, equivalent, 12 Find equivalent forms of the rational numbers having a common denominator . 7 9 11, , 4 60 3, ,13 a Find the average of the rational numbers .

, , b Compare and 1, ,CHAPTER 2 OPERATIONS ON RATIONAL NUMBERS. SECTION A 1Marks ,Q 1 Addition is associative for. a Natural numbers b Whole Numbers, c Rational Numbers d All of these. 2 The additive inverse of a negative number is , a 0 b Positive c Negative d none of these. ,3 A rational number is greater than if, , a ad bc b ad bc c ad bc d ad bc.

4 Between any two distinct rational numbers there exist. a Finite number rational numbers b Infinitely many rational numbers. c No rational number d none of the above,5 Zero has reciprocal . a 1 b 2 c 3 d no,6 Reciprocal of 2 is, 3 6 5, a 3 b c d . 7 14 3, 7 Which is the identity element of addition . a 1 b 0 c 10 d 5, 8 Which is the identity element under multiplication . a 1 b 0 c 10 d 5,9 Which integer has no reciprocal .

a 1 b 0 c 10 d 5,10 Which is the additive inverse of 6 . a 1 b 0 c 6 d None of these,11 The multiplicative inverse of is. 3 4 4, a b c d None of these, 4 3 3,12 5 X 1, 1 3 16. a 3 b c d None of these, 5 16 3,13 1, a 16 b 16 c 8 d 8. 4 5,14 The reciprocal of is, 3 4, 5 5 3, a b c d None of these.

3 3 5, 15 Reciprocal of negative rational number is. a Positive b Zero c Negative d None of these,16 The reciprocal of is. 3 4 4 3, a b c d , 4 3 3 4,17 1 , a 3 b 2 c 1 d None of these. 18 Choose the correct answer If the product of two non zero numbers is 1 then they are. a Additive inverse of each other b multiplicative inverse of each other . c Reciprocal of each other d both b and c ,19 Find . 5 5, 7 12,20 Find , 9 9, 5 17,21 Find , 9 9, 4 7,22 .

11 11, 3 5,23 , 8 12, SECTION B 2Marks , 1 5, 1 The sum of two rational numbers is If one of the numbers is find the other . 2 6, 2 1,2 What number should be subtracted from to get . 3 2, 32 8, 3 Product of two rational numbers is if one of the numbers is find the other . 9 3, 1 1 1 2, 4 Divide the sum of 2 and 5 by the product of 2 and . 4 5 4 3, 15 5,5 By what number should be divided to get .

56 7, 6 The sum of two rational numbers is 1 If one of the number is 3 7 Find the other . 1 3,7 Find the two rational numbers between and, 4 4. 2 7,8 Subtract from , 9 6, 2 5 2 1 6,9 Find the reciprocal of . 3 7 9 3 7, 1 1, 10 Verify that X x y 1 x 1 x y 1 by taking x and y . 2 2, 3 21, 11 With what number should we divide so that the quotient be .

7 5,12 Subtract 1 9 from 3 5 , 5 2, 13 The sum of two rational numbers is If one of them is find the other . 7 5, 14 The sum of two rational number is 5 If one of the number is Find the. other number ,15 3 5 1 3, Find the value of , 5 4 14 8. 16 Simplify and express the result in standard form . 4 3 2, 3 5 10, 3, 17 The sum of two rational numbers is 1 If one of the number is Find the other . 18 From a rope of the length 40 metres A man cuts some equal sized pieces How many pieces can. be cut if each piece is of metres length , 33 11,19 By what number should be divided to get .

16 4, 5 4,20 Divide the sum of and by their difference . 21 7,21 Evaluate, 7 19 5 3,i ii , 24 36 8 4, 13 3. 22 What should be added to to get 1 , 4 8, 7 5,23 Simplify i x 4 ii 36 . 18 9, 24 By what rational number should be multiplied to get 24 . SECTION C 3Marks ,1 Find the product of 5 7 and its reciprocal .

2 Verify X Y Z X Y Z for X 2 5 Y 3 4 and Z 1 4 ,3 Verify X Y Z X Y Z for X 1 5 Y 3 5and Z 2 5 . 4 Verify X Y Z X Y X Z for X 1 3 Y 3 4and Z 2 5 , 1 1. 5 A tin holds 16 litres of oil How many such tins will be required to hold 313 litres of oil . 2 2, 3 1 5 3 1 3 5,6 Show that , 5 7 14 5 7 5 14, 12 16. 7 Divide the difference of and by their product , 5 20. 5 3,8 Verify x y y x by taking x and y , 7 2, 5 7.

9 For x y Verify that x y 1 x 1 y 1, 11 3, 10 Simplify and express the result as a rational number in its lowest term . 8 1 X 2 7 0 09, 5 4, 4 7,11 Simplify 9, 8 13, 3 1 5 3 1 3 5. 12 Verify , 5 7 14 5 7 5 14, 5 4,13 Divide the sum of and by their difference . 21 7, 3 9, 14 For x and y insert a rational number between x y 1 and x 1 y 1 . 4 8, 2 5, 15 Find the value of x y and y x for x and y Are they same .

3 9, 16 Simplify and express the result in standard form 4 . 1 3, 17 The cost of 2 m of cloth is Rs78 Find the cost of cloth per metre . 2 4, 18 How many pieces each of length 3 can be cut from a rope of length 30 metres . 8 5, 19 By what rational number should be multiplied to obtain . 39 26, 3 1 5 3 1 3 5,20 Show that x x x , 5 7 14 5 7 5 14.

2 4,21 Verify that x y 1 x 1 y 1 by taking x y , 7 7. SECTION D 4 Marks , 1 Raju earns Rs16000 per month He spends of his income on food of the remainder on. house rent and 5 21of the remainder on education of children How much money is still left with. 2 Simplify 3 7 6 5 1 10 3 2 6 5 1 14 , 3 If 6 7 x 3 13 3 26 3 13 x 8 7 3 26 m x 2 then what is the value of m . 4 If x 2 3 y 4 5 z 3 4 show that x y z x y x z , 5 Simplify and Express the result in a lowest form . 2 3 1 1 2 1, , 5 4 25 2 10 5, 25 5, 6 a The product of two numbers is One number is Find the other number .

16 4, 2 5, b Find reciprocal of , 5 7, 2 5 1,7 By taking x y z verify that x y z x z y z . 3 9 6, 3 7 7,8 By taking X , 5 10 4, Prove that X Y Z X Y X Z. 9 If 24 pairs of trousers of equal size can be prepared with 54 m of cloth what length of cloth is. required for each pair of trousers , 4 1, 10 A car is moving at average speed of 36 Km per hour What distance will it cover in 7 hour . 5 2, 11 The product of two rational numbers is 9 If one of the number is 12 Find the other . 5 2 1,12 By taking x y z verify that x , 8 7 4, CHAPTER 3 RATIONAL NUMBERS AS DECIMALS.

SECTION A 1Marks ,1 6 4 0 2 , a 3 2 b 0 32 c 32 d 2 3. 2 has decimal representation , a terminating b non terminating c both a and b d none of these. 3 The decimal representation of is, a 0 3 b 0 3 c 3 33 d none of these. 4 Which is the decimal form of 7 20, a 0 035 b 0 35 c 35 d 3 5. 5 Divide 62 5 0 5, a 125 b 1 25 c 12 5 d 0 125,6 Convert 8 5 in its decimal form .

7 Convert 25 7 into decimal form ,8 Convert 2 4 in the form of p q . 9 2 1253 can be expressed as, a 2 125553 b 2 125333 c 2 125353 d None of these. 10 140 0 75 0 01 , a 140 7500 b 14000 75 c 1 05 d none of these. 11 Simplify 5X 0 16 0 52 8 263 , 12 Without actual division determine whether the rational number has either terminating or. non terminating decimal ,13 Evaluate 42 7 11 9 025 2 16 .

14 Add 3 009 2 59 16 745 and 0 12 ,15 Divide 32 768 8 . 129,16 Convert as decimal ,17 Simplify 3 125 0 125 0 50. 18 Convert as a decimal , 19 Find whether decimal representation is terminating or non terminating Give reason . 20 Write two English alphabet having i 1 line of symmetry ii no line of symmetry. 21 i ii, If lines OY represent the line of symmetry of the angles find X . 22 i Find the product 0 111 0 005 ii Express 2 56 in the form p q. 23 Without actual division determine has a terminating decimal representation . 24 Convert into decimal , 25 Express 0 036 as rational number in standard form .

26 Express 3908 78 in the standard form , SECTION B 2Marks . 1 Find the decimal representation of the following rational numbers . 37 18, i ii , 5 125,2 Add 16 1 12 05 7 201,3 Subtract 15 012 from 37 01. 4 Multiply 2 2 by 3 5,5 Divide 42 042 by 6,6 Simplify 5X 0 16 0 52 8 263 . 7 Evaluate 42 7 11 9 025 2 16,8 Add 3 009 2 59 16 745 and 0 12. 9 Divide 32 768 8, 10 A car covers a distance of 89 1 km in 2 2 hours What is the average distance covered by the car.

in 1 hour ,11 Evaluate 8 1 x 2 7 0 09, 12 Compute the following i 75 05 0 05 x 0 001 2 351. SECTION C 3Marks ,1 Find a 53 7 3 b 25 6 8 c 82 44 6. 2 Evalute the following i 24 12 1 2 0 001 ii 5 15 5 1 5 0 25 8. 3 Without actual division determine which of the following rational numbers have a terminating. decimal representation , i 27 125 ii 25 28 iii 8 50. 4 Add 3 005 0 539 15 214,5 Simplify and express the result in. DAV PUBLIC SCHOOL JHARSUGUDA QUESTION BANK MATHEMATICS CLASS VII CHAPTER 1 RATIONAL NUMBERS SECTION A 1Marks 1 What do you mean by a rational number 2 Find the absolute value of 8 7 3 Find the standard form of 21 42 4 Every integer is an whole number True False 5 Which of the following is not a rational number a 5 4 b 2

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