Class 7 Maths

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

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

1. sum
2. minus
3. of
4. division

Answer: 3

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

1. \(\frac{8 \times 2}{3 \times 5}\)
2. \(\frac{8 \times 2}{3+5}\)
3. \(\frac{8+2}{3 \times 5}\)
4. \(\frac{8 \times 5}{3 \times 2}\)

Answer: 1

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

1. 63
2. 27
3. 9
4. 3

Answer: 2

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

1. \(\frac{a+d}{b+c}\)
2. \(\frac{b+d}{a+c}\)
3. \(\frac{c+d}{a+b}\)
4. \(\frac{a+b}{c+d}\)

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……….

1. 25
2. 50
3. 75
4. 100

Answer: 3

6. 0.2 x 0.3 =

1. 0.23
2. 0.06
3. 0.6
4. 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 …………

1. 6
2. 10
3. 12
4. 20

Answer: 2

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

1. \( \frac{11}{24}, \frac{7}{6}, \frac{5}{12}, \frac{1}{18} \)
2. \( \frac{1}{18}, \frac{5}{12}, \frac{7}{6}, \frac{11}{24} \)
3. \( \frac{11}{24}, \frac{1}{18}, \frac{5}{12}, \frac{7}{6} \)
4. \( \frac{1}{18}, \frac{5}{12}, \frac{11}{24}, \frac{7}{6} \)

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 ……….

1. less than 60 cups
2. between 50 and 60 cups
3. between 70 and 80 cups
4. above 80 cups

Answer: 2

11. represents…………..

1. \( 2 \frac{1}{5} \)
2. \( 2 \frac{4}{5} \)
3. \( \frac{14}{5} \)
4. 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 ……………..

1. \( \frac{1}{5} \)
2. \( \frac{2}{5} \)
3. \( \frac{3}{5} \)
4. \( \frac{4}{5} \)

Answer: 2

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

1. \( \frac{12}{5} \)
2. \( \frac{13}{5} \)
3. \( \frac{3}{20} \)
4. \( \frac{4}{9} \)

Answer: 1

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

1. x
2. –
3. +

Answer: 1

15. Match the following:

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

1. a-ii, b-iii, c-i, d-iv
2. a-iii, b-iv, c-ii, d-i
3. a-iii, b-i, c-iv, d-ii
4. 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……….

1. 15
2. 12
3. 9
4. 13

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……..

1. 200
2. 270
3. 275
4. 280

Answer: 1

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

1. 0.002
2. \( \frac{2}{1000} \)
3. Both A and B
4. None

Answer: 3

19. (0.5 x 0.5) + (0.3 x 0.3) =…….

1. 0.55
2. 0.88
3. 0.53
4. 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

1. 6
2. 7
3. 8
4. 9

Answer: 3

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

1. \( \frac{5}{13} \)
2. \( \frac{4}{9} \)
3. \( \frac{9}{25} \)
4. \( \frac{7}{13} \)

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 ……….

1. 14
2. 20
3. 30
4. 40

Answer: 1

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

1. A
2. B
3. C
4. D

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

1. 10
2. 20
3. 30
4. 40

Answer: 4

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

1. \( 3 \frac{31}{60} \)
2. \( 30 \frac{3}{60} \)
3. \( 6 \frac{30}{3} \)
4. \( 15 \frac{4}{60} \)

Answer: 1

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

1. \( 5 \frac{8}{105} \)
2. \( 19 \frac{5}{24} \)
3. \( 3 \frac{19}{24} \)
4. \( 4 \frac{9}{24} \)

Answer: 2

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

1. \( 2 \frac{19}{24} \)
2. \( 19 \frac{5}{24} \)
3. \( 3 \frac{19}{24} \)
4. \( 4 \frac{9}{24} \)

Answer: 3

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

1. \( \frac{1}{5} \)
2. \( \frac{2}{5} \)
3. \( 1 \frac{1}{5} \)
4. \( 2 \frac{1}{5} \)

Answer: 1

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

1. \( \frac{-22}{5} \)
2. \( \frac{22}{5} \)
3. \( \frac{12}{5} \)
4. \( \frac{-12}{5} \)

Answer: 1

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

1. \( \frac{-29}{35} \)
2. \( \frac{13}{35} \)
3. \( \frac{11}{35} \)
4. \( \frac{29}{35} \)

Answer: 4

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

1. \( \frac{3}{4} \)
2. \( \frac{1}{2} \)
3. \( \frac{-3}{4} \)
4. \( \frac{1}{4} \)

Answer: 1

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

1. \( \frac{3}{5} \)
2. \( \frac{4}{5} \)
3. \( \frac{6}{5} \)
4. \( \frac{7}{5} \)

Answer: 3

PSEB Class 7 Maths Fractions and Decimals Solutions

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

1. 10
2. -10
3. 14
4. -14

Answer: 2

35. Choose the correct matching.

1. 1. \( 2 \text { of } \frac{1}{x} \) ( ) a) \( \frac{2}{x} \)
2. 2. \( 2 \div \frac{1}{x} \) ( ) b) 20
3. 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…….

1. 51.7
2. 5.17
3. 0.517
4. 517

Answer: 2

37. Evaluate 2 x 5 x 1.2

1. 120
2. 1.2
3. 12
4. 121

Answer: 3

38.\( 4-\frac{1}{3} \) of 6 is ………

1. 3
2. 4
3. 1
4. 2

Answer: 4

39. 235.4 100 =……..

1. 2354
2. 23.54
3. 235.4
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

1. \( \frac{1}{5} \)
2. \( \frac{4}{5} \)
3. \( \frac{2}{5} \)
4. \( \frac{3}{5} \)

Answer: 3

41. Choose the correct matching.

1)                ( )                  a) 0

2)     (  )                b) Proper fraction

3)         (  )                 c) Improper fraction

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

Answer: 1

42. Choose the correct matching.

1. \( \frac{2}{5} \times \frac{10}{7} \) ( ) a) \( \frac{2}{17}\)
2. \( \frac{-2}{7} \div-\frac{17}{7} \) ( ) b) \( \frac{7}{3}\)
3. \( \frac{4}{3}-\frac{1}{7} \) ( ) c) \( \frac{4}{7} \)
4. \( 4 \frac{2}{3}-2 \frac{1}{3} \) ( ) 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. 1 cm ( ) a) 1000 g
2. 1kg ( ) b) 100 cm
3. 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.

1. proper
2. improper
3. mixed
4. integer

Answer: 1

45. \( \frac{4}{3} \) is a …… fraction.

1. proper
2. improper
3. mixed
4. integer

Answer: 2

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

1. proper
2. improper
3. mixed
4. integer

Answer: 3

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

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

1. a proper
2. an improper
3. a mixed
4. A and B

Answer: 2

48. \( \frac{5}{5} \) is ………. fraction.

1. a proper
2. an improper
3. a mixed
4. all of them

Answer: 2

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

1. a>b
2. a<b
3. a=b
4. a>b

Answer: 4

50. Each proper fraction is ………….

1. less than 1
2. greater than 1
3. equal to 1
4. less than 0

Answer: 1

51. Which of the following is incorrect?

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

Answer: 3

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

1. \( \frac{5}{9} \)
2. \( \frac{9}{21} \)
3. \( \frac{12}{28} \)
4. \( \frac{150}{350} \)

Answer: 1

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

1. \( 8 \frac{1}{4} \)
2. \( 9 \frac{3}{4} \)
3. \( 8 \frac{3}{4} \)
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………..

1. \( \frac{3}{7} \)
2. \( \frac{7}{3} \)
3. \( \frac{2}{7} \)
4. \( \frac{7}{4} \)

Answer:  3

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

1. \( \frac{1}{8} \)
2. \( \frac{1}{4} \)
3. \( \frac{2}{12} \)
4. \( \frac{1}{16} \)

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.

1. \( \frac{1}{7} \)
2. \( \frac{3}{7} \)
3. \( \frac{6}{35} \)
4. \( \frac{1}{35} \)

Answer: 3

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

1. \( \frac{9}{16}=\frac{13}{5} \)
2. \( \frac{9}{16}<\frac{13}{5} \)
3. \( \frac{13}{5}<\frac{9}{16} \)
4. \( \frac{9}{16}>\frac{13}{5} \)

Answer: 2

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

Same number

1. 0
2. 1
3. Undefined

Answer: 3

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

1. 44
2. 51
3. 35
4. 25

Answer: 2

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

1. 4
2. 6
3. 8
4. 11

Answer: 4

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

1. 3 and 4
2. 4 and 5
3. 2 and 3
4. 5 and 6

Answer: 3

PSEB Class 7 Maths Chapter 2 Solutions

62. Which of the following statements is true?

1. Difference of two like fractions \( = \frac{\text { difference of numerators }}{\text { common denominator }} \)
2. Fractions with the same numerator are called like fractions
3. A fraction with the numerator greater than or equal to the denominator is called a proper fraction.
4. 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?

1. \( \frac{67}{33} \)
2. \( \frac{57}{7} \)
3. \( \frac{97}{33} \)
4. \( \frac{1}{9} \)

Answer: 3

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

1. \( \frac{2}{9}, \frac{8}{21}, \frac{2}{3} \)
2. \( \frac{2}{3}, \frac{2}{9}, \frac{8}{21} \)
3. \( \frac{2}{9}, \frac{2}{3}, \frac{8}{21} \)
4. \( \frac{8}{21}, \frac{2}{9}, \frac{2}{3} .\)

Answer: 1

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

1. 1.37
2. 1.07
3. -1.49
4. 2

Answer: 4

66. Which of the following statements is not true ?

1. The rational number system is denoted by Q.
2. There are infinite rational numbers between any two rational numbers.
3. The product of two proper fractions is improper.
4. 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

1. 2.05,4,-4.56,0.75
2. 4,-4.56,0.75,2.05
3. -4.56, 0.75, 2.05, 4
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

1. proper
2. improper
3. mixed
4. Both 1 and 2

Answer: 2

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

1. a < b
2. a > b
3. a = b
4. a = 0

Answer: 3

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

1. Ascending order
2. Descending order
3. Not comparable
4. All are equal

Answer: 2

71.\( 3 \times \frac{2}{5} \) =

1. \( 3+\frac{2}{5} \)
2. \( \frac{3}{5}+\frac{3}{5} \)
3. \( \frac{2}{5}+\frac{2}{5}+\frac{2}{5} \)
4. \( \frac{2}{5} \times \frac{2}{5} \times \frac{2}{5} \)

Answer: 3

PSEB Class 7 Maths Chapter 2 Solutions

72. Which of the followingis incorrect ?

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

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?

1. 15
2. 20
3. 25
4. 30

Answer: 2

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

1. \( \frac{-31}{35} \)
2. \( \frac{31}{35} \)
3. \( \frac{49}{45} \)
4. \( \frac{1}{35} \)

Answer: 2

75. Which of the following is incorrect?

1. \( \frac{1}{2}>\frac{1}{3}>\frac{1}{4} \)
2. \( \frac{2}{5}<\frac{4}{5}<1 \)
3. \( \frac{2}{3}>\frac{3}{4}>\frac{7}{8} \)
4. \( \frac{1}{6}<\frac{2}{5}<\frac{3}{4} \)

Answer: 3

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

1. 14
2. 15
3. 16
4. 17

Answer: 3

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

1. \( \frac{24}{6} \)
2. \( \frac{24}{32} \)
3. \( \frac{24}{4} \)
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?

1. 100
2. 200
3. 300
4. 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 ?

1. \( \frac{3}{5} \)
2. \( \frac{4}{5} \)
3. \( \frac{6}{5} \)
4. \( \frac{8}{5} \)

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?

1. \( 2 \frac{3}{8} \)
2. \( 3 \frac{3}{8} \)
3. \( 1 \frac{3}{8} \)
4. \( 5 \frac{3}{8} \)

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?

1. \( \frac{7}{3} \)
2. \( \frac{3}{7} \)
3. \( \frac{3}{10} \)
4. \( \frac{7}{10} \)

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?

1. 2
2. \( \frac{4}{9} \)
3. \( \frac{1}{3} \)
4. \( \frac{2}{9} \)

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?

1. \( \frac{568}{30} \mathrm{~km} \)
2. \( \frac{468}{30} \mathrm{~km} \)
3. \( \frac{578}{3} \mathrm{~km} \)
4. 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 ?

1. \( \frac{395}{18} \)
2. \( \frac{495}{18} \)
3. \( \frac{295}{18} \)
4. \( \frac{195}{18} \)

Answer: 1

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

1. 250 km
2. 240 km
3. 510 km
4. 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?

1. 42.55
2. 43.55
3. 41.55
4. 44.55

Answer: 3

87. 1 meter of cloth costs 52.25. What is the cost of 9.5 meters of this cloth?

1. 496.375
2. 396.375
3. 496.735
4. 396.573

Answer: 1

88. Subhash bought 17.5 litres ofmustard oil for ?1550.50. What is the cost per one litre?

1. 87.6
2. 85.6
3. 88.6
4. 89.6

Answer: 4

89. In a class of 45 students of the total number of students are girls.How many students of the class are boys ?

1. 45
2. 36
3. 18
4. 27

Answer: 3

90. A car runs 12 km using 1 litre of petrol. How much distance will it cover using 2.5 litres of petrol ?

1. 30km
2. 32km
3. 36 km
4. 40 km

Answer: 1

91. Sugar is sold at \(17 \frac{3}{4}\) per kg. Find the cost of \(8 \frac{1}{2}\) kg of sugar.

1. \(115 \frac{7}{8}\)
2. \(151 \frac{7}{8}\)
3. \(150 \frac{7}{8}\)
4. \(145 \frac{7}{8}\)

Answer: 3

92. A carton contains 40 boxes of nails and each box weighs \( 3 \frac{3}{4} \mathrm{~kg}\). How much would a carton of nails weigh?

1. 100 kg
2. 125 kg
3. 150 kg
4. 200 kg

Answer: 3

93. In which of the following does the shaded part represent one-fourth of its whole?

Answer: 1

PSEB Class 7 Maths Chapter 2 Solutions

94. Which of the following is an improper fraction?

Answer: 2

95. What does the shaded part of the following strip represent?

1. \(\frac{2}{7}-\frac{1}{7}+\frac{2}{7}=\frac{3}{7}\)
2. \(\frac{2}{7}+\frac{1}{7}-\frac{2}{7}=\frac{1}{7}\)
3. \(\frac{2}{7}+\frac{1}{7}=\frac{3}{7}\)
4. \(\frac{3}{7}+\frac{2}{7}=\frac{5}{7}\)

Answer: 4

96. Find the perimeter of the figure.

1. 35.3 km
2. 41.3 km
3. 40.7 km
4. 42.3 km

Answer: 2

97. Express in fraction form

1. \(\frac{3}{9}+\frac{1}{3}=\frac{6}{9}\)
2. \(\frac{3}{6}+\frac{2}{3}=\frac{3}{9}\)
3. \(\frac{3}{6}+\frac{1}{3}=\frac{3}{9}\)
4. \(\frac{6}{9}+\frac{2}{3}=\frac{3}{9}\)

Answer: 1

98. Pictorial representation of \(3 \times \frac{1}{4}=\frac{3}{4}\)

1. 

2. 

3.  

4. None

Answer: 1

99. Representation of \(\frac{1}{4}\) of 16 is

1.

2.

3.

4.

Answer: 2

100. The fraction formed with numerator 3 and denominator 7 is

1. \(\frac{7}{3}\)
2. \(\frac{3}{7}\)
3. \(\frac{10}{7}\)
4. \(\frac{3}{10}\)

Answer: 2

Punjab State Board Class 7 Maths Solutions For Chapter 1 Integers

Choose the correct answers:

1. (-21) -(-10) =…………..

1. -21
2. 10
3. -11
4. 11

Answer: 3

2. Additive inverse of -5 is………

1. +1
2. 5
3. -1/5
4. 1/5

Answer: 2

3. The pair of integers whose stun -4 is……

1. (-1,5)
2. (-5,1)
3. (0, 4)
4. (-2,2)

Answer: 2

4. The value of (10)+ (-2) lies between ………….

1. 0 and 10
2. -10 and -6
3. -4 and 0
4. -6 and 6

Answer: 4

Punjab State Board Class 7 Maths Chapter 1 Integers Solutions

5. The number line represents

1. 4 x (-3)
2. (-4) x 3
3. (-12) x(-3)
4. (-3) x 3

Answer: 1

6. Observe the figure, the distance of fish from sea level is ……..

1. 35m
2. 50m
3. -35m
4. 25m

Answer: 3

7. Match the integerin column A to an integerin column B. So that eachpart of integer has difference between -3 and -10.

Col A                                     Col B

a) -2                  (  )                   i) 17

b) 3                   (  )                   ii) 5

c) -7                  (  )                   iii) 9

d) 9                   (  )                   iv) -2

1. a-i,b-ii, c-iii, d-iv
2. a-ii,b-iii, c-iv, d-i
3. a-iii,b-iv, c-i, d-ii
4. a-iv,b-i, c-ii, d-iii

Answer: 2

8. The property 10 x (6-(-2)) = (10 x 6) – (10 x (2)) is called …….property

1. closure
2. commutative
3. associative
4. distributive

Answer: 4

9. If (-16) (4 + (A)) = -8 then A = ( – )

1. 4
2. 8
3. 2
4. -2

Answer: 3

10. In the pattern

(-1) x (-1) =1
(-1) x 0 = 0
(-1) x 1 = -1
(-1) x 5 =….

1. -1
2. 0
3. -5
4. 5

Answer: 3

11. If A is on operation such that pAq = p x p + q x q-p x q for any integers p, q, then 2A (-5)

1. 39
2. 29
3. 19
4. -39

Answer: 1

Punjab State Board Class 7 Maths Chapter 1 Integers Solutions

12. In the following number line which of the following is not true?

1. B is greater than -10
2. A is greater than 0
3. B is greater than A
4. A is smaller than 0

Answer: 2

13. The multiplicative inverse of 7 is…..

1. 1
2. -7
3. 1/7
4. -1/7

Answer: 3

14. If ★,〇,■,△ , A represent some integers on numbers line, then the ascending order of these numbers is

1. ★ ■ △ 〇
   
2. 〇 △ ★ ■
   
3. 〇  ★  ■ △
   
4. △ ★ ■ 〇

Answer: 2

15. When -12 is divided by ……,the quotient is 4.

1. -3
2. 3
3. 2
4. -2

Answer: 1

16. …… – (-2024) = 0

1. 2024
2. 1
3. -2024
4. 0

Answer: 4

17. A boy standing in the middle of a staircase, goes down by 3 steps and then goes up by 10 steps,Now the step at which he is….

1. 5
2. 8
3. -8
4. -5

Answer: 2

18. [(-5) +…..] +……=…..+ [(-2) +…..] = -10

1. 2, -3, 5, -3
2. 2, 3, -5, 3
3. -2, -3, -5, -3
4. 2, 3, 5, 3

Answer: 3

19. On the following number line, (-2) 4 is represented by the point…..

1. B
2. D
3. A
4. E

Answer: 1

20. (-6) + (-6) + (-6) + (-6) + (-6) =….. x(-6)

1. 1
2. -6
3. 6
4. 5

Answer: 4

21. (-52) x (-99) + 52 is equal to ……

1. -5148
2. -5200
3. 5148
4. 5200

Answer: 4

22. The odd one of the following.

1. (0,-2)
2. (-3,-5)
3. (5,-5)
4. (-1,-1)

Answer: 3

23. If x, y are two integers, then which of the following may not be an integer ?

1. x + y
2. x-y
3. xxy
4. x + y

Answer: 1

24. Which of the following shows the maximum raise in the temparature ?

1. 5°C to 15° C
2. -5°C to 6°C
3. -2°C to -10°C
4. -5°C to 0°C

Answer: 2

25. In a test of 20 questions, + 2 marks are given for every correct answer and -1 mark for every wrong answer. Rani attempted all questions and got 25 marks in total, then the no.of questions she answered incorrectly……

1. 10
2. 15
3. 5
4. 8

Answer: 2

26. Successor of -15 is

1. -11
2. -16
3. -14
4. -12

Answer: 2

27. (a + b) + c = a + (b + c) for all integers a,b and c. This property is

1. closure
2. commutative
3. distributive
4. associative

Answer: 4

28. 8 + (-7)- (-4) =….

1. 3
2. 5
3. 11
4. 19

Answer: 2

Punjab State Board Class 7 Maths Chapter 1 Integers Solutions

29. (-5) x (-4) x (-3) x (-2) x (—1) =

1. 120
2. -120
3. 60
4. -60

Answer: 2

30. If a = -10;b =1; c =1 then a + (b + c)=

1. -5
2. 5
3. -10
4. -9

Answer: 1

31. The additive inverse of (-a) is

1. 1/a
2. -1/a
3. -a
4. a

Answer: 4

32. (-1)x (-1)x (-1) x (-1) x (-1) =

1. 5
2. -5
3. -1
4. 1

Answer: 3

33. (-3) x….. = 27

1. 9
2. -9
3. 24
4. -24

Answer: 2

34. The opposite of 5 km northis

1. 5 km south
2. 5 km east
3. 5 km north
4. None

Answer: 1

35. Apair of integers whose difference is -5

1. 9,4
2. 9,-4
3. -9,-4
4. -9,4

Answer: 3

36. Choose the correct matching: ( )

Column -I                                   Column -II

i) (132) + (-12) =         (   )                a) 49
ii) (-144) + (16) =        (   )                b) 8
iii) (-32)- (-4) =            (   )                c) (-9)
iv) 196 + 4 =                (   )                d) (-11)

1. i-b,ii – a,iii – c, iv – d
2. i – a,ii -b,iii – d, iv.- c
3. i – d,ii – c,iii -b, iv – a
4. i- c,ii – d,iii – a, iv -b

Answer: 3

37. What should be multiplied by (-12) in order to get 180 ?

1. 15
2. -15
3. 16
4. -16

Answer: 2

PSEB Class 7 Maths Integers Solutions

38. If the total of two integersis (-53) and one of themis 9, find the otherinteger.

1. -52
2. 62
3. -62
4. 72

Answer: 3

39. Which integer do we get in (-8)÷(-2)?

1. Positive
2. Negative
3. Zero
4. None

Answer: 1

40. Subtract -222 from (-666)

1. 600
2. -660
3. -444
4. 444

Answer: 3

41. The difference of an integer P and (-8) is 6. What is the value of ‘P’?

1. -2
2. 2
3. -14
4. 14

Answer: 1

42. What is the value of 8 x (-7) + (-7)x9?

1. -119
2. 119
3. -7
4. 7

Answer: 1

43. (-25) x 8 + (-25) x 12 =……….

1. -200
2. -500
3. -300
4. None

Answer: 2

44. (17) x (-12) + (19) x (-12) =….

1. -232
2. -332
3. -432
4. None

Answer: 3

Class 7 Maths Chapter 1 Integers Questions and Answers

45. (?) ÷ (-18) = -7

1. -126
2. -136
3. 126
4. 226

Answer: 3

46. Choose the correct matching:

Column -I                                                                           Column -II

i) 5 + (0) = 5                              (   )                        a) Distributive property
ii) x(1) = x- (1)x                         (   )                        b) Closure in multiplication
iii)2x(3 + 4) = (2×3) + (2×4)     (   )                        c) Identityin addition
iv) 6(4) = 24                               (   )                        d) Identityin multiplication

1. i-a,ii-b,iii-c,iv-d
2. i – c,ii – d,iii – a,iv -b
3. i-b,ii- d,iii – c,iv- a
4. i- a,ii – c,iii – d,iv -b

Answer: 2

47. Choose the correct matching:

Column -1                      Column -II

-26 is               (   )           left side of 3
20 is                (   )           right side of -4
0 is                  (   )           bigger than -38
-2 is                (   )            lesser than 25

1. i – a,ii – b,iii – c,iv – d
2. i – b,ii – c,iii – d, iv – a
3. i – c,ii – d,iii – a,iv – b
4. i – d,ii – c,iii – a,iv – b

Answer: 3

48. What do we call the set of negative numbers and whole numbers?

1. Natural numbers
2. Integers
3. Positive numbers
4. The set of whole numbers

Answer: 2

49. Which of the following is the smallest positive integer?

1. 0
2. 100
3. 1
4. 9

Answer: 3

50. Which of the following is true with respect to -28 and -32?

1. -28 <-32
2. -28=-32
3. -32 > -28
4. -28>-32

Answer: 4

51. What is the smallest negative integer?

1. -1
2. -10
3. 0
4. Does not exist

Answer: 4

Class 7 Maths Chapter 1 Integers Questions and Answers

52. What is the identity element with respect to subtraction in integers?

1. 0
2. 1
3. -1
4. Does not exist

Answer: 1

53. Team P scored -40, 10, 0 and Team Q scored 10, 0, -40 in three successive rounds. Which team scored more ?

1. P team
2. Q team
3. P team get 50 more runs
4. Both are equal

Answer: 4

54. (-5) + (-8) = (-8) +………..= -13 Which property is used to solve this problem ?

1. Associative
2. Closure
3. Commutative
4. Distributive

Answer: 3

55. What is the multiplicative identity of integers?

1. 0
2. -1
3. 1
4. 4

Answer: 3

56. Write the additive inverse of the following (i) -100, (ii) 72 ( )

1. 100, 72
2. -100,72
3. 100, -72
4. -100,-72

Answer: 3

57 What should be subtracted from -2 to get -17?

1. -15
2. 15
3. -19
4. 19

Answer: 2

58. What is the additive inverse of [(-2) x (-7)] ?

1. 1/4
2. 1/14
3. 14
4. -14

Answer: 4

59. By how much 5 exceeds -5?

1. 10
2. -10
3. 5
4. None

Answer: 1

60. What is the nature of the product of a negative integer by itself odd number of times?

1. Positive
2. Negative
3. Non-negative
4. Can not be determined

Answer: 2

61. If the dividend and the divisor have like (same) signs, what is the sign of the quotient?

1. Positive
2. Negative
3. Zero
4. Indeterminate.

Answer: 1

PSEB Class 7 Maths Chapter 1 Solutions

62. What is the opposite of earning 100?

1. + 100
2. Profit of 100
3. Gain of 100
4. Spending of 100

Answer: 4

63. How is the withdrawl of 200 represented ?

1. Depositing of? 200
2. -200
3. 200
4. -200

Answer: 2

Read the below table and answer the following questions. (36 – 65)

64. Which property involves in the above table ?

1. Closure
2. Commutative
3. Associative
4. Identity

Answer: 1

65. Which of the following statement is true according to the table?

1. Whole numbers are commutative
2. Whole numbers are closure
3. Integers are associative
4. Integers are distributive

Answer: 2

Observe the table and answer the following questions (66 – 67).

66. Fill the blank with appropriate number 9 + …….= 2 + 9 = 11

1. 9
2. 2
3. 11
4. 0

Answer: 2

67. Which property was represented by this table ?

1. Commutative
2. Closure
3. Identity
4. Inverse

Answer: 1

68. Ramu added by mistake 7 to 13 instead of 13 to 7. What is his answer ?

1. 6
2. 20
3. 0
4. 17

Answer: 2

69. In a quiz, positive marks were given for correct answers and negative marks for incorrect answers. If Guru’s scores in five successive rounds were 35, -10, -15, 20 and 5, what is his total score at the end?

1. 25
2. 35
3. 45
4. 55

Answer: 2

70. A lift descends into an underground floor at the rate of 6 meters per minute. If the decent starts from 10 meters above the ground level, how much time will it take to descend 350 meters?

1. 30 min.
2. 50 min.
3. 1 hour
4. 1 hour 30 min.

Answer: 3

PSEB Class 7 Maths Chapter 1 Solutions

71. A plane is flying at the height of 5000 m above the sea level. At a particular point it is exactly above a submarine floating 1200 m below the sea level. What is the vertical distance between them?

1. 5200 m
2. – 5200 m
3. 6200 m
4. -6200 m

Answer: 3

72. At Srinagar, temperature was -5° C on Monday and then it dropped by 2° C on Tuesday.On next dayit rose by 4 0 C then what was the temperature on Wednesday at Srinagar?

1. -7° C
2. 11° C
3. -11°C
4. -3° C

Answer: 4

73. Anu deposits Rs. 2000 per month in her account for six months as savings. But when she is in need she withdraw Rs.1600 and once again she withdraws Rs. 5000 from her account. If withdrawal of amount is represented by (-ve) sign and deposition by (+ve) sign what is the present position of her account?

1. – 1200
2. + 5400
3. + 6600
4. – 5000

Answer: 2

74. A cement company earns a profit of 8 per bag of white cement sold and a loss of 5 per bag of grey cement sold. The company sells 3000 bags of white cement and 5000 bags of grey cement in a month.What is its profit or loss ?

1. 1000 loss
2. 1200 loss
3. 1000 profit
4. 1200 profit

Answer: 1

75. What is x here ?

1. 36
2. -36
3. 27
4. 45

Answer: 1

76. Fill? with appropriate value. ( )

1. 8/2
2. -1/4
3. -4
4. 1/4

Answer: 2

Punjab State Board Solutions For Class 7 Maths Chapter 4 Simple Equations

1) 3(p – 7) -4 = 5

Solution:

=> 3p – 21 – 4 = 5 (Distributive property)

=> 3p- 25 = 5

=> 3p = 5 + 25 (-25 transposed and becomes +25)

=> 3p = 30

p = 10

Check :

Substitute p = 10 in given equation

LHS = 3 (p – 7)- 4

= 3(10 -7) – 4

= 3(3) -4

=> 9 – 4 =>5 = RHS

LHS = RHS; Hence verified

2) 5(q – 3) -3(q – 2) = 0

Solution:

=> 5q- 15 – 3q + 6 = 0 ( Distributive property)

=> 2q – 9 = 0

=> 2q = 9 (-9 transposed and becomes +9)

\( q=\frac{9}{2} \) (- 2 transposed and becomes +2)

Check:

Substitute \( q=\frac{9}{2} \) in the given equation

LHS = 5{q-3)-3(q-2)

LHS = RHS; Hence verified

Punjab State Board Class 7 Maths Chapter 4 Simple Equations Solutions

3) 0.4x- 0.3.v- 1.2 =0.6

Solution: 0.1x – 1.2 = 0.6

0.1x = 0.6 + 1.2 (-1.2 transposed and becomes + 1.2)

=> 0.1x = 1.8

=> x = \( \frac{1.8}{0.1} \) (x(0.1) transposed and becomes 0.1)

Check:

Substitute x = 18 in the given equation

LHS = 0.4x – 0.3x – 1.2

= 0.4 (18) -0.3(18) -1.2

= 7.2 -5.4 -1.2

= 7.2- 6.6 => 0.6 = RHS

LHS = RH5; Hence verified

4) 4(3y + 4) = 7.6

Solution:

12y + 16 = 7.6 (Distributive property)

=> 12y = 7.6 – 16 (+16 transposed and becomes -16)

=> 12y = – 8.4

=> \( y=\frac{-8.4}{12} \)

(x 12 transposed and become +12) = 4

y = -0.7

Check:

Substitute if = -0.7 in the given equation

LHS = 4(3y + 4)

= 4 (3 (- 0.7) + 4)

= 4(-2.1 +4) =4 (1.9)

= 7.6 = RHS;

=> LHS = RHS

Hence verified

5) 20 – (2r- 5) = 25

Solution:

=> 20- 2r + 5 = 25 ( Distributive property)

=> 25 – 2r = 25

=> -2r = 25 – 25 (+25 transposed and become -25)

=> -2r = 0

(x(-2) transposed and becomes +(-2))

r = 0

Check:

Substitute r = 0 in the given equation

LHS = 20 – (2r -5)

= 20 – (2(0) – 5)

= 20 + 5 = 25 = RHS

LHS = RHS; Hence verified

Punjab State Board Class 7 Maths Chapter 4 Simple Equations Solutions

6) 3(5 – t) – 2(t- 2)= -1

Solution:

=> 15 – 3t- 2t + 4 = -1 ( Distributive property)

=> 19- 5t = -1

=> -5t = -1 – 19 (+19 transposed and becomes -19)

=> -5t = -20

=> 5t = 20

=> t =\( \frac{20}{5} \)

(x5 transposed and becomes +5)

t = 4

Check:

Substitute t = 4

LHS = 3(5 – t) —2(t- 2)

= 3(5 -4) -2(4 -2)

= 3(1) -2(2)

= 3 – 4 = -1 = RHS

LHS = RHS

Hence verified

19. Length of a rectangle is 4 m less than 3 times its breadth.If the perimeter of rectangle is 32m, then find its length and breadth.

Solution: Let the breadth of rectangle be = x m

Length of a rectangle is 4m less than 3 times its breadth then, length of rectangle = 3x -4m

Perimeter of a rectangle = 32 w

2 [length + breadth] = 32

2 [3x – 4 + x] = 32

2 [4x-4] = 32

8x- 8 =32

8x =32+8

8x =40

x= \( \frac{40}{8} \)

x =5

Breadth of rectangle = 5m.

Length of the rectangle = 3x – 4 = 3*5 -4 =15-4 = 11m.

PSEB Class 7 Maths Simple Equations Solutions

20. A bag contains some number of white balls, twice the number of white balls are blue balls, thrice the number of blue balls are the red balls. If the total number of balls in the bag are 27. Then calculate the number of balls of each colour present in the bag.

Solution:

Let the number of white balls contained in a bag = x

Number of blue balls = twice the number of white bulls = 2x

Number of red balls = thrice the number of blue balls = 3 (2 x) = 6x

Total number of balLs in a bag = 27

x +2x +6x =27

9x = 27

x = \( \frac{27}{9} \)

x = 3

Number of white balls = 3

Number of blue balls = 2x = 2×3 = 6

Number of red balls = 6x = 6×3 = 18

21. A man travelled \( \frac{4}{5} \) of his journey by train,\( \frac{1}{7} \) km by bus and the remaining 16 km by auto. What is the length of his total journey?

Solution:

Let the length of his total journey be ‘x’ km

The length of his journey by train = \( \frac{4}{5} x \mathrm{~km} \)

The length of his journey by bus =\( \frac{1}{7} x_{\mathrm{km}} \)

The length of his journey by bus = 16 km

The length of his total journey = x km

x = 8 x 35 = 280 km

x = 280

The length ofhis total journey = 280 km

Check:

Total journey = 280 km

Journey by train = \( \frac{4}{5} \) x 280 = 224km

Journey by bus = \( \frac{1}{7} \) x 280 = 40 km

Journey by, auto = 16km

Total Journey = 224 + 40 +16 = 280 km

Hence verified

Write at least one other form for each equation

1) 5p – 20
2) 3n + 7- 1
3) \( \frac{m}{5}-2=6 \)

Solution:

Statement forms for equation

1) 5p=20

1) Multiply a number p by 5 to get 20.

2) A number p multiplied by 5 gives 20.

2) 3n + 7 – 1

1) Sum of three times n and 7 is 1.

2)Three times a number ‘n’ plus 7 gives 1.

3) \( \frac{m}{5}-2=6 \)

One-fifth of ‘m’ is greater than 2 by 6.

2)The difference between one tilth of a number m’ and 2 is 6

PSEB Class 7 Maths Simple Equations Solutions

Haryana Board Class 7 Maths Solutions For Chapter 4

The value of the expression (10y – 20) depends on the value of y. Verify this by giving five different values to y and finding for each y the value of (10y – 20). From the different values of
(10y – 20) you obtain, do you see a solution to 10y – 20 – 50? If there is no solution, try giving more values to y and find whether the condition 10y – 20 – 50 is met.

Solution:

Given expression 10y – 20

At y=0; 10 x 0- 20 =0 – 20 =- 20

At y=1: 10 x 1 – 20 = 10 – 20= – 10

At y =2; 10 x 2 – 20= 20 – 20= 0

At y =3; 10 x 3 – 20= 30 – 20 = 10

At y =4; 10 x 4 – 20= 40 – 20= 20

We do not see a solution to 10y – 20 =50

At y=5; 10 x 5 – 20 =50 – 20=30

At y=6; 10 x 6 – 20 =60 – 20=40

At y=7; 10 x 7 – 20 =70 – 20=50

The condition 10y – 20 – 50 is met at y=7.

Punjab State Board Class 7 Maths Chapter 4 Simple Equations Multiple Choice Question and Answers  

1. Find the value of x if \( \frac{x}{2}-1=\frac{x}{3}+4 \)

1. 20
2. 10
3. 20
4. 30

Answer: 3

2. Solve 6x + 18 = 8x + 12

1. x = 1
2. x = 2
3. x = 3
4. x = 4

Answer: 3

3. Solve 5(x-3) = 30

1. 6
2. 3
3. 12
4. 9

Answer: 4

4. What is the value of ‘x’ in \( \frac{3 x-1}{5}-\frac{1+x}{2}=3-\frac{x-1}{2} \) ?

Answer: 3

5. If 0.2 (2x- 1) – 0.5 (3x- 1) = 0.4 whatis the value of ‘x’ ?

1. \( \frac{1}{11} \)
2. \( \frac{-1}{11} \)
3. \( \frac{2}{11} \)
4. \( \frac{3}{11}\)

Answer: 2

6. What is the value ofp in the given equation 8(2p – 5) -6(3p – 7) =1 ? .

1. 2
2. 3
3. \( \frac{1}{2} \)
4. \( \frac{1}{3} \)

Answer: 3

7. Find the variable value ‘y’in equation 0.6y + 0.8 = 0.56y + 2.32.

1. 34
2. 36
3. 38
4. 40

Answer: 3

Class 7 Maths Chapter 4 Simple Equations Questions and Answers

8. If \( \frac{-9}{z}=\frac{-11}{5} \) , then -(z)=……….

1. \( \frac{45}{11} \)
2. \( \frac{11}{45} \)
3. \( \frac{-45}{11} \)
4. \( -\frac{11}{45} \)

Answer: 3

9. 3(x-3) = 5(2x + 1), then x =………

1. 1
2. -1
3. 2
4. -2

Answer: 4

10. The solution to the equation 8 – 5 (x- 4) 2x- 6 is

1. \( \frac{10}{7} \)
2. 2
3. \( \frac{34}{7} \)
4. 6

Answer: 3

11. What value of V makes the equation true ? \( \frac{x}{9}+6=8 \)

1. 2
2. 66
3. 18
4. 126

Answer: 3

12. If x + 4 = 9, then the value of x =……..

1. 4
2. 9
3. 5
4. 13

Answer: 3

13. If 2x + 5 = k, then x =…….

1. k-5
2. \( \frac{k-5}{2} \)
3. \( \frac{k+5}{2} \)
4. \( \frac{k}{2}-5 \)

Answer: 2

14. The value of V which satisfies equation 5x – 7 = 8 is

1. 2
2. 3
3. 4
4. -3

Answer: 2

15. If 3x = 20, then x =……..

1. 17
2. \( \frac{-7}{20} \)
3. \( \frac{20}{3} \)
4. 6

Answer: 3

16. Arrange the steps you will use to separate the variable and then solve the equation: 10x + 14 = 34

1. 10x = 20
2.  x = 2
3. 10x = 34-14

1. 1,2,3
2. 2,3,1
3. 2,1,3
4. 3,1,2

Answer: 4

Class 7 Maths Chapter 4 Simple Equations Questions and Answers

17. What are the two steps involved in solving the equation 15x + 4 = 26?

1. Adding 4 on both sides and then multiplying both sides by 15
2. Adding 4 on the LHS and dividing by 15 on the RHS
3. Subtracting 4 from both the sides and then dividing by 15 on the RHS
4. Subtracting 4 from both the sides and then dividing both sides by 15

Answer: 4

18. Which of the following equation can be constructed with x- 2 ?

1. 3x – 4 = 2
2. 3x + 4 = 2
3. 3x – 4 = 8
4. 3x + 4 = 8

Answer: 1

19. On transposing terms from one side of the equation to the other which of these changes takes place ?

1. Addition becomes subtraction
2. Subtraction becomes addition
3. Multiplication becomes division
4. Above all

Answer: 4

20. Arrange the followingin an order:

1. Write the algebraic equation
2. Read the problem
3. Denote the unknown quantity
4. Solve the equation

1. 1,2,3,4
2. 2,3,1,4
3. 2,1,3,4
4. 4,3,2,1

Answer: 2

21. a= b but ac = bc, then guess c =

1. 1
2. b
3. a
4. 0

Answer: 4

22. 0.5 m = 0.65, then m =

1. 3
2. 30
3. 1.3
4. 13

Answer: 3

23. x- 50% of x = 12, then x =

1. 12
2. 24
3. 36
4. 48

Answer: 2

24. 25% of x + 75% of x = 2012, then x =

1. \( \frac{2012}{100} \)
2. 2012×100
3. 2012
4. 1

Answer: 3

Class 7 Maths Chapter 4 Simple Equations Questions and Answers

25. Which of the following equations can be constructed with x = 5 ?

1. 2x- 4 =1
2. 3x- 5 = 10
3. 3x- 4 = 9
4. 12x- 5 = 25

Answer: 2

26. A number when multiplied 5 gives 80. What is that number ?

1. 16
2. 17
3. 18
4. 20

Answer: 1

27. Twice a number when increased by 4 gives 48. Whatis that number ?

1. 11
2. 22
3. 33
4. 40

Answer: 2

28. On adding 6 to the thrice of a number gives 30. What is the — of that number ?

1. 1
2. 2
3. 3
4. 4

Answer: 2

29. 3 is subtracted from \( \frac{3}{2} \)of a number results in 12. What is that number ?

1. 14
2. 18
3. 10
4. 16

Answer: 3

30. The sum of three times of a number and 11 is 32, find the number.

1. 7
2. 6
3. 21
4. 10

Answer: 1

31. Write the statement for the sum of three times of x and11 is 32in the form of equation.

1. 3x +11 = 32
2. 3x – 11 =34
3. 5x- 7 = 2
4. None

Answer: 1

32. Write the statementif you subtract 5 from 6 times a number we get 7in the form of equation.

1. 6x – 5 = 7
2. 3x- 11 = 34
3. 5x-7 = 2
4. None

Answer: 1

33. The number which when multiplied by 7 and then reduced by 3 is equal to 53 is

1. 7
2. 6
3. 8
4. 10

Answer: 3

34. Write the equation for the situation:

1. \( \frac{2 x}{10}=52 \)
2. 2x -10 = 52
3. x + 10 = 52
4. 2x + 10 = 52

Answer: 2

PSEB Class 7 Maths Chapter 4 Solutions

35. Write equation for adding 7 to twice a number to get 49

1. 2x – 7 = 49
2. 2x + 7 = 49
3. -2x – 49 = 7
4. 2x + 49 = 7

Answer: 2

36. The equation 2x = 6 can further be expressed as

1. x = 6 -2
2. x = 6 x 2
3. \( x=\frac{6}{2} \)
4. x = 6 + 2

Answer: 3

37. Write the information givenin the adjacent figure in the form of an equation

1. x = 3
2. x-3 = 10
3. x + 3 =10
4. \( x=\frac{10}{3} \)

Answer: 3

38. The sum of three consecutive integers is 75, which is the largest among them ?

1. 25
2. 23
3. 24
4. 26

Answer: 4

39. The lengths of the sides of a triangle are (a +1), (2a-1), (3a + 2). For what value of ‘a’, perimeter is 26 ?

1. 2
2. 3
3. 4
4. 6

Answer: 3

40. The sum of the ages of three persons is 40 years. What will be the sum of their ages after 3 years ?

1. 49
2. 39
3. 59
4. 69

Answer: 1

41. The teacher tellsin the class that the highest marks obtainedby a student in her class is twice the lowest marks plus 7.If the highest score is 87, what is the lowest score ?

1. 20
2. 80
3. 40
4. 30

Answer: 3

42. If k- 7 = 16, the the value of 8k + 72 =…….

1. 256
2. 372
3. 252
4. 200

Answer: 1

43. Two supplementary angles differ by 20° what is the measure of smaller angle ?

1. 40°
2. 80°
3. 100°
4. 30°

Answer: 2

PSEB Class 7 Maths Chapter 4 Solutions

44. The length of a rectangle is two times of its breadth. Its perimeter is 60 m. What is the length ?

1. 10 m
2. 15 m
3. 20m
4. 24m

Answer: 3

45. Two complementary angles are differ by 20°. What is the measure of larger angle ?

1. 35°
2. 45°
3. 55°
4. 65°

Answer: 4

46. Sum of two numbers is 21. One of the numberis twice the other, then those numbers are ……….

1. 3,18
2. 7,14
3. 13,7
4. 5,16

Answer: 2

47. If k + 7 = 16 then the value of 8k – 72 is ……….

1. 0
2. 1
3. 112
4. 56

Answer: 1

48. Epress the diagram In the form of an equation.

1. 4x + 2x = 90°
2. 4x + 2x = 180°
3. 4x + 2x = 270°
4. 4x + 2x = 360°

Answer: 2

49. The equation is y + 6 = 12. What are the values of P, Q, R ?

1. y, 6, 12
2. 6, 12, y
3. 6, y, 12
4. 12, y, 6

Answer: 4

50. What is the relation between length and beadth of a rectangle?

1. length is double that of breadth
2. length is triple that of breadth
3. breadth is half of length
4. both A and C

Answer: 4

51. Write the equation for the adjacent figure

1. 3x – 2x = 180°
2. 3x + 2x = 180°
3. 3x – 2x = 90°
4. 3x + 2x = 90°

Answer: 4

52. The symbol to be placed in the box □ given below, for the value x = 4, x + 5 □10

1. =
2. >
3. ≥
4. <

Answer: 4

PSEB Class 7 Maths Chapter 4 Solutions

53. AB = 25 cm, BC = 10 cm. To find AC, what is the equation here?

1. 25 + 10 = x
2. 10 – 25 = x
3. x – 10 = 25
4. x + 10 = 25

Answer: 4

54. A + 3 = 8 then the value of x is

1. 11
2. 5
3. -5
4. \( \frac{8}{3} \)

Answer: 2

55. Raju’s father’s age is 5 years more than three times Raju’s age. Find Raju’s age if his father is 44 years old.

1. 39 years
2. 15 years
3. 13 years
4. 26 years

Answer: 3

56. ‘One – third of a number plus 5 is 8’. Write this statementin the form of an equation

1. 3A + 5 = 8
2. 31-5-8
3. \( \frac{x}{3}-5=8 \)
4. \( \frac{x}{3}+5=8 \)

Answer: 4

57. \( \frac{y}{4} \) =10. Then the value of y is

1. 40
2. 14
3. 6
4. \( \frac{10}{4} \)

Answer: 1

58. 4x + 5 = 65. The value of x is

1. 10
2. 12
3. 15
4. 20

Answer: 3

Punjab State Board Class 7 Maths Chapter 4 Simple Equations  Fill in the blanks:

59. An equation is a condition on a……………

Answer: variable

60. ………………….are formed by performing operations like addition, subtraction, multiplication and division on the variables.

Answer: Expression

61…………….means shifting to the other side.

Answer: Transposing

62…………….remains the same if the LHS and the RHS are interchanged.

Answer: An equation

63. \( \frac{5}{2} x=20 \), then the value of x =

Answer: 8

64. Match the following:

1. n – 5 = 3      ( ) A) -8

2. y + 4 =- 4    ( ) B) 0

3. x + 4 = 4     ( ) C) 10

4. 3z = 42       ( ) D) 8

5. \(\) \frac{P}{2}=5 \(\) ( ) E) 14

Answer: 1. D 2. A 3. B 4. E 5. C

• Chapter 1: Integers
• Chapter 2: Fractions and decimals
• Chapter 3: Data handling
• Chapter 4: Simple Equations
• Chapter 5: Line and Angles
• Chapter 6: THE TRIANGLE AND ITS PROPERTIES
• Chapter 7: CONGRUENCE OF TRIANGLES
• Chapter 8: COMPARING QUANTITIES
• Chapter 9: RATIONAL NUMBERS
• Chapter 10: Practical Geometry
• Chapter 11: perimeter and Area
• Chapter 12: Algebraic Expressions
• Chapter 13: Exponents and Power
• Chapter 14: SYMMETRY
• Chapter 15: VISUALISING SOLID SHAPES