Punjab State Board Class 7 Maths Solutions For Chapter 2 Fractions and Decimals

1. In a fraction,……….represents multiplication.

sum
minus
of
division

Answer: 3

2. Product of $\frac{8}{3} $ and $\frac{2}{5}$ is…………….

$\frac{8 \times 2}{3 \times 5}$
$\frac{8 \times 2}{3+5}$
$\frac{8+2}{3 \times 5}$
$\frac{8 \times 5}{3 \times 2}$

Answer: 1

3. If $\frac{7}{9}$ of a number is 21, then the number is………….

Answer: 2

4. If o<a<b<c<d, and a, b, c, d are integers, then which of the following is smallest?

$\frac{a+d}{b+c}$
$\frac{b+d}{a+c}$
$\frac{c+d}{a+b}$
$\frac{a+b}{c+d}$

Answer: 4

5. Bannu is distributing 50 chocolates to her friends andif each of them got $\frac{2}{3}$ part, then
the number of her friends……….

25
50
75
100

Answer: 3

6. 0.2 x 0.3 =

0.23
0.06
0.6
0.5

Answer: 2

Punjab State Board Class 7 Maths Chapter 2 Fractions and Decimals Solutions

7.$\frac{1}{3}$ of is…….

Answer: 2

8. A ribbon of length $ 6 \frac{2}{3} $m is cutinto small pieces each of length $ \frac{2}{3}$ m.Then the number of pieces will be …………

Answer: 2

9. The ascending order of $ \frac{7}{6}, \frac{5}{12}, \frac{1}{18}, \frac{11}{24}$ is………………

$ \frac{11}{24}, \frac{7}{6}, \frac{5}{12}, \frac{1}{18} $
$ \frac{1}{18}, \frac{5}{12}, \frac{7}{6}, \frac{11}{24} $
$ \frac{11}{24}, \frac{1}{18}, \frac{5}{12}, \frac{7}{6} $
$ \frac{1}{18}, \frac{5}{12}, \frac{11}{24}, \frac{7}{6} $

Answer: 4

10. One product of biscuits requires $ 2 \frac{1}{2} $cups of flour and $ 1 \frac{1}{3}$ cups of sugar. The estimated total quantity of both ingredients used in 20 such biscuits will be ……….

less than 60 cups
between 50 and 60 cups
between 70 and 80 cups
above 80 cups

Answer: 2

11. represents…………..

$ 2 \frac{1}{5} $
$ 2 \frac{4}{5} $
$ \frac{14}{5} $
Both B and C

Answer: 4

12. John ate part of a cake and his sister Rosy ate part of the remaining then the part of the cake left is ……………..

$ \frac{1}{5} $
$ \frac{2}{5} $
$ \frac{3}{5} $
$ \frac{4}{5} $

Answer: 2

13. The simplified form of $ 3 \frac{1}{5} \times \frac{3}{4}$ =

$ \frac{12}{5} $
$ \frac{13}{5} $
$ \frac{3}{20} $
$ \frac{4}{9} $

Answer: 1

14. 5 $ \frac{5}{2}$ = 2, here the operator © = …….

Answer: 1

15. Match the following:

$ 2 \times \frac{1}{4} $ i)
$ 2 \times \frac{1}{3} $ (ii)
$ \frac{1}{4} \times 3 $ (iii)
$ 4 \times \frac{1}{4} $ (iv)

a-ii, b-iii, c-i, d-iv
a-iii, b-iv, c-ii, d-i
a-iii, b-i, c-iv, d-ii
a-i, b-ii, c-iii, d-iv

Answer: 2

Punjab State Board Class 7 Maths Chapter 2 Fractions and Decimals Solutions

16. The number of $ \frac{3}{5} $ pieces that can be cut from a cake of 9 kg weight……….

Answer: 1

17. Keerthi purchased 2.5 kg of apples at the rate of 78.75 Per Kg. The amount she pays in nearest rupees is……..

200
270
275
280

Answer: 1

18. Observe the figure. The value at C is ……….

0.002
$ \frac{2}{1000} $
Both A and B
None

Answer: 3

19. (0.5 x 0.5) + (0.3 x 0.3) =…….

0.55
0.88
0.53
0.34

Answer: 4

20. Karthik can walk $ 1 \frac{1}{3} $ km in one hour. The time taken by him to walk to his school which is 9 km from his home is ………….hr

Answer: 3

21.$ \frac{4}{9}$ x □ = $ \frac{20}{117} $ , □ =

$ \frac{5}{13} $
$ \frac{4}{9} $
$ \frac{9}{25} $
$ \frac{7}{13} $

Answer: 1

22. $ \frac{2}{5} $ of the triangles in the box can be represented as

Answer: 3

23. If $ \frac{5}{7} $ of a number is 40/then 0.25 times of that number is ……….

Answer: 1

24. Which letter comes $ \frac{2}{5} $ th of the way among A andJ ?

Answer: 4

PSEB Class 7 Maths Fractions and Decimals Solutions

25. Lasya used to travel 20 km or$ \frac{1}{3} $ rd of the total distance from Home to park as in figure, then the distance between school to park is…………km

The ditance school to park is

Answer: 4

26. What is the sum of $ \frac{3}{4}, \frac{7}{6} $ and $ 1 \frac{3}{5} $ ?

$ 3 \frac{31}{60} $
$ 30 \frac{3}{60} $
$ 6 \frac{30}{3} $
$ 15 \frac{4}{60} $

Answer: 1

27. What is the difference of $ \frac{13}{15} \text { and } \frac{11}{35} $ ?

$ 5 \frac{8}{105} $
$ 19 \frac{5}{24} $
$ 3 \frac{19}{24} $
$ 4 \frac{9}{24} $

Answer: 2

28. What is the product of $ 1 \frac{1}{3}, 3 \frac{1}{4} \text { and } \frac{7}{8} $ ?

$ 2 \frac{19}{24} $
$ 19 \frac{5}{24} $
$ 3 \frac{19}{24} $
$ 4 \frac{9}{24} $

Answer: 3

29. What should be added to 3 ti get $ 3 \frac{1}{5} $

$ \frac{1}{5} $
$ \frac{2}{5} $
$ 1 \frac{1}{5} $
$ 2 \frac{1}{5} $

Answer: 1

30. The sum of two rational ntunbers is – 8. If one of the numbers is $ \frac{-18}{5} $ ,what is the other?

$ \frac{-22}{5} $
$ \frac{22}{5} $
$ \frac{12}{5} $
$ \frac{-12}{5} $

Answer: 1

31. What should be added to $ -\frac{2}{5} $ to ge $ \frac{3}{7} $ ?

$ \frac{-29}{35} $
$ \frac{13}{35} $
$ \frac{11}{35} $
$ \frac{29}{35} $

Answer: 4

32. What is the value of $ \left(2-\frac{1}{2}-\frac{3}{4}\right) $ ?

$ \frac{3}{4} $
$ \frac{1}{2} $
$ \frac{-3}{4} $
$ \frac{1}{4} $

Answer: 1

33. What is the value of x if $ \frac{x}{3}=\frac{18}{45} $ ?

$ \frac{3}{5} $
$ \frac{4}{5} $
$ \frac{6}{5} $
$ \frac{7}{5} $

Answer: 3

PSEB Class 7 Maths Fractions and Decimals Solutions

34. What is the value of $ \frac{-2}{7} \times 35 $ ?

10
-10
14
-14

Answer: 2

35. Choose the correct matching.

1. $ 2 \text { of } \frac{1}{x} $ ( ) a) $ \frac{2}{x} $
2. $ 2 \div \frac{1}{x} $ ( ) b) 20
3. 0.2 x 100 ( ) c) 2x

1-c, 2-b, 3-a

1-b, 2-c, 3-a

1-a, 2-b, 3-c

1-a, 2-c, 3-b

Answer: 4

36. The value of 0.1 x 51.7 is…….

51.7
5.17
0.517
517

Answer: 2

37. Evaluate 2 x 5 x 1.2

120
1.2
12
121

Answer: 3

38.$ 4-\frac{1}{3} $ of 6 is ………

Answer: 4

39. 235.4 100 =……..

2354
23.54
235.4
2.354

Answer: 4

Class 7 Maths Chapter 2 Fractions and Decimals Questions and Answers PSEB

40.$ \frac{3}{5}$ of the fruit was eaten by Goutham, the rest part of the fruit is

$ \frac{1}{5} $
$ \frac{4}{5} $
$ \frac{2}{5} $
$ \frac{3}{5} $

Answer: 3

41. Choose the correct matching.

1) ( ) a) 0

2) ( ) b) Proper fraction

3) ( ) c) Improper fraction

1-b, 2-c, 3-a
2-c, 2-a, 3-b
3-b, 2-a, 3-c
None

Answer: 1

42. Choose the correct matching.

$ \frac{2}{5} \times \frac{10}{7} $ ( ) a) $ \frac{2}{17}$
$ \frac{-2}{7} \div-\frac{17}{7} $ ( ) b) $ \frac{7}{3}$
$ \frac{4}{3}-\frac{1}{7} $ ( ) c) $ \frac{4}{7} $
$ 4 \frac{2}{3}-2 \frac{1}{3} $ ( ) d) $ \frac{25}{21} $

i-b, ii-c, iii-a, iv-d

i-d, ii-c, iii-b, iv-a

i-c, ii-b, iii-a, iv-d

i-c, ii-a,iii-d, iv-b

Answer: 4

43. Choose the correct matching

1 cm ( ) a) 1000 g
1kg ( ) b) 100 cm
1 m ( ) c) 10 mm

1-a, 2-b, 3-c
1-b, 2-c, 3-a
1-c, 2-a, 3-b
1-b, 2-a, 3-c

Answer: 3

44. $ \frac{4}{5} $ is a …… fraction.

proper
improper
mixed
integer

Answer: 1

45. $ \frac{4}{3} $ is a …… fraction.

proper
improper
mixed
integer

Answer: 2

46. $ 2 \frac{3}{4} $ is a …… fraction.

proper
improper
mixed
integer

Answer: 3

Class 7 Maths Chapter 2 Fractions and Decimals Questions and Answers PSEB

47. Every natural number can be written as………. fraction.

a proper
an improper
a mixed
A and B

Answer: 2

48. $ \frac{5}{5} $ is ………. fraction.

a proper
an improper
a mixed
all of them

Answer: 2

49. $ \frac{a}{b} $ is an improper fraction means ………..

a>b
a<b
a=b
a>b

Answer: 4

50. Each proper fraction is ………….

less than 1
greater than 1
equal to 1
less than 0

Answer: 1

51. Which of the following is incorrect?

Every proper fraction is less than 1
Every mixed fraction has integral part and a proper fraction
Fractions cannot be compared
We can change an improper fraction to a mixed fraction

Answer: 3

52. In the following, which fraction is not equivalent to $ \frac{3}{7} $ ?

$ \frac{5}{9} $
$ \frac{9}{21} $
$ \frac{12}{28} $
$ \frac{150}{350} $

Answer: 1

53. $ 3 \frac{1}{2}+5 \frac{3}{4}= $

$ 8 \frac{1}{4} $
$ 9 \frac{3}{4} $
$ 8 \frac{3}{4} $
$ 9 \frac{1}{4} $

Answer: 4

Class 7 Maths Chapter 2 Fractions and Decimals Questions and Answers PSEB

54. The shaded areain the figure represents $ \frac{5}{7} $ Then the unshaded area represents………..

Then the unshaded area represents

$ \frac{3}{7} $
$ \frac{7}{3} $
$ \frac{2}{7} $
$ \frac{7}{4} $

Answer: 3

55. $ \frac{125}{2000} $ in its simplest form is

$ \frac{1}{8} $
$ \frac{1}{4} $
$ \frac{2}{12} $
$ \frac{1}{16} $

Answer: 4

56. In a cake Shyam ate $ \frac{1}{7} $ part and he distributed the remaining equally to 5 members. Then each member gets ……..part of the cake.

$ \frac{1}{7} $
$ \frac{3}{7} $
$ \frac{6}{35} $
$ \frac{1}{35} $

Answer: 3

57. Which of the following is true with respect to $ \frac{9}{16} \text { and } \frac{13}{5} $ ?

$ \frac{9}{16}=\frac{13}{5} $
$ \frac{9}{16}<\frac{13}{5} $
$ \frac{13}{5}<\frac{9}{16} $
$ \frac{9}{16}>\frac{13}{5} $

Answer: 2

58. What is the product of a fractional number and its reciprocal?

Same number

0
1
Undefined

Answer: 3

59. If $ 4 \frac{7}{11}=\frac{x}{11} $, what is the Value of x ?

Answer: 2

60. How many one – fourths need to be added to $ 3 \frac{1}{4} $ to make 6 ?

Answer: 4

61. Between which two numbers does $ \frac{11}{4} $ lie ?

3 and 4
4 and 5
2 and 3
5 and 6

Answer: 3

PSEB Class 7 Maths Chapter 2 Solutions

62. Which of the following statements is true?

Difference of two like fractions $ = \frac{\text { difference of numerators }}{\text { common denominator }} $
Fractions with the same numerator are called like fractions
A fraction with the numerator greater than or equal to the denominator is called a proper fraction.
Fractions with the same denominator are called unlike fractions.

Answer: 1

63. What result will be obtained when the sum of $ \frac{65}{12} \text { and } \frac{8}{3} $ is divided by their difference?

$ \frac{67}{33} $
$ \frac{57}{7} $
$ \frac{97}{33} $
$ \frac{1}{9} $

Answer: 3

64. Arrange the followingin ascending order $ \frac{2}{9}, \frac{2}{3}, \frac{8}{21} $

$ \frac{2}{9}, \frac{8}{21}, \frac{2}{3} $
$ \frac{2}{3}, \frac{2}{9}, \frac{8}{21} $
$ \frac{2}{9}, \frac{2}{3}, \frac{8}{21} $
$ \frac{8}{21}, \frac{2}{9}, \frac{2}{3} .$

Answer: 1

65. Among 2, 1.37, 1.07,-1.49 which is greater ?

1.37
1.07
-1.49
2

Answer: 4

66. Which of the following statements is not true ?

The rational number system is denoted by Q.
There are infinite rational numbers between any two rational numbers.
The product of two proper fractions is improper.
While dividing whole number with a fraction we multiply the whole number with the reciprocal of that fraction:

Answer: 3

67. Arrange the decimals in ascending order: 2.05, 4, 0.75, -4.56

2.05,4,-4.56,0.75
4,-4.56,0.75,2.05
-4.56, 0.75, 2.05, 4
0.75, 2.05,4,-4.56

Answer: 3

68. If $ \frac{a}{b} $ is a proper fraction, then $ \frac{b}{a} $ is an ……… fraction

proper
improper
mixed
Both 1 and 2

Answer: 2

69. If $ \frac{a}{b} $ and $ \frac{b}{a} $ are both improper fractions then we must have

a < b
a > b
a = b
a = 0

Answer: 3

70. a,x are positive integers then $ \frac{x}{a}, \frac{x}{2 a}, \frac{x}{3 a}$ are in…….

Ascending order
Descending order
Not comparable
All are equal

Answer: 2

71.$ 3 \times \frac{2}{5} $ =

$ 3+\frac{2}{5} $
$ \frac{3}{5}+\frac{3}{5} $
$ \frac{2}{5}+\frac{2}{5}+\frac{2}{5} $
$ \frac{2}{5} \times \frac{2}{5} \times \frac{2}{5} $

Answer: 3

PSEB Class 7 Maths Chapter 2 Solutions

72. Which of the followingis incorrect ?

$ \frac{1}{2} \text { of } \frac{3}{4} \text { and } \frac{3}{4} \text { of } \frac{1}{2} \text { are equal }$
$ \frac{a}{b} \neq \frac{b}{a} \text { in general }$
$ \frac{3}{5}=\frac{1}{5}+\frac{1}{5}+\frac{1}{5}$
$ \text { To represent } \frac{5}{3} \text { pictorially, we need } 3 \text { units }$

Answer: 4

73. Indian cricket team won 4 more matches than it lost with Newzealand. If it won $ \frac{3}{5} $ of its matches, how many matches did India play?

Answer: 2

74. Find the additive inverse of – $ \left(\frac{2}{7}+\frac{3}{5}\right) $

$ \frac{-31}{35} $
$ \frac{31}{35} $
$ \frac{49}{45} $
$ \frac{1}{35} $

Answer: 2

75. Which of the following is incorrect?

$ \frac{1}{2}>\frac{1}{3}>\frac{1}{4} $
$ \frac{2}{5}<\frac{4}{5}<1 $
$ \frac{2}{3}>\frac{3}{4}>\frac{7}{8} $
$ \frac{1}{6}<\frac{2}{5}<\frac{3}{4} $

Answer: 3

76. How many pieces each of length $ 3 \frac{3}{4} $ m can be cut from a rope of length 60 m ?

Answer: 3

77. The equivalent fraction of $ \frac{3}{4}$ with numerator 24 is

$ \frac{24}{6} $
$ \frac{24}{32} $
$ \frac{24}{4} $
$ \frac{24}{26} $

Answer: 2

78. Ramu read $ \frac{3}{5} $ of a book. He finds that there are still 80 pages left to be read. What is the total number of pagesin the book?

100
200
300
400

Answer: 2

79. Vanaja eats one full bar of chacolate. Then she divides another one into 5 equal part and eats 3 of them. What is the total number of chacolates that she has eaten ?

$ \frac{3}{5} $
$ \frac{4}{5} $
$ \frac{6}{5} $
$ \frac{8}{5} $

Answer: 4

80. The product of two numbers is $ 15 \frac{5}{6} $ .If one of the numbers is $ 6 \frac{2}{3} $, what is the other number?

$ 2 \frac{3}{8} $
$ 3 \frac{3}{8} $
$ 1 \frac{3}{8} $
$ 5 \frac{3}{8} $

Answer: 1

PSEB Class 7 Maths Chapter 2 Solutions

81. A badminton player won 7 games and lost 3. What fraction of the games did he lost?

$ \frac{7}{3} $
$ \frac{3}{7} $
$ \frac{3}{10} $
$ \frac{7}{10} $

Answer: 3

82. Vasu had $ \frac{1}{3} $ of a cake. He ate $ \frac{2}{3} $ of it. What part of the cake did he eat?

2
$ \frac{4}{9} $
$ \frac{1}{3} $
$ \frac{2}{9} $

Answer: 4

83. A bus is moving at an average speed of $ 56 \frac{2}{3} $ km/hr.How much distance canit cover in $ 3 \frac{2}{5} $ hour?

$ \frac{568}{30} \mathrm{~km} $
$ \frac{468}{30} \mathrm{~km} $
$ \frac{578}{3} \mathrm{~km} $
None of these

Answer: 3

84. The cost of $ 4 \frac{1}{2} $ meters of cloth is $ 98 \frac{3}{4} $.What is the cost of cloth per meter ?

$ \frac{395}{18} $
$ \frac{495}{18} $
$ \frac{295}{18} $
$ \frac{195}{18} $

Answer: 1

85. A bus can cover 21.25 km in half an hour.How much distance can it cover in 12 hours ?

250 km
240 km
510 km
270km

Answer: 3

86. Madhavi purchased a notebook for 27.75, a pencil for 4.25 and a pen for 26.45. She gave a 100 note to the shopkeeper. What amount did she get back?