#### Important Questions

7th Standard EM

Reg.No. :
•
•
•
•
•
•

Maths

Time : 01:00:00 Hrs
Total Marks : 60

Part - A

25 x 1 = 25
1. The temperature at 12 noon at a certain place was 18° above zero. If it decreases at the rate of 3° per hour at what time it would be 12° below zero?

(a)

12 mid night

(b)

12 noon

(c)

10 am

(d)

10 pm

2. (-5)-(-18)=____

(a)

23

(b)

-13

(c)

13

(d)

-23

3. (-100)-0+100=_____

(a)

200

(b)

0

(c)

100

(d)

-200

4. The height of the rhombus whose area 96 sq. m and side 24 m is

(a)

8 m

(b)

10 m

(c)

2 m

(d)

4 m

5. In a trapezium if the sum of the parallel sides is 10 m and the area is 140 sq. m, then the height is

(a)

7cm

(b)

40 cm

(c)

14 cm

(d)

28 cm

6. Choose the pair of like terms

(a)

7p, 7x

(b)

7r, 7x

(c)

−4x, 4

(d)

−4x, 7x

7. The addition of 3mn, −5mn, 8mn and −4mn is

(a)

mn

(b)

-mn

(c)

2mn

(d)

3mn

8. When we subtract ‘a’ from ‘-a’, we get _______

(a)

0

(b)

2a

(c)

-2a

(d)

-a

9. Suppose 3 kg. of sugar is used to prepare sweets for 50 members, then ____ kg. of sugar is required for 150 members.

(a)

9

(b)

10

(c)

15

(d)

6

10. 4 typists are employed to complete a work in 12 days. If two more typists are added, they will finish the same work in _______ days.

(a)

7

(b)

8

(c)

9

(d)

10

11. In the given figure the angles ∠1 and ∠2 are

(a)

opposite angles

(b)

(c)

Linear pair

(d)

Supplementary angles

12. The sum of all angles at a point is

(a)

360°

(b)

180°

(c)

90°

(d)

13. The measure of $\angle$BOC is

(a)

90°

(b)

180°

(c)

80°

(d)

100°

14. The place value of 3 in 85.073 is _______

(a)

tenths

(b)

hundredths

(c)

thousands

(d)

thousandths

15. 0.009 is equal to

(a)

0.90

(b)

0.090

(c)

0.00900

(d)

0.900

16. If the circumference of a circle is 82π , then the value of ‘r’ is

(a)

41 cm

(b)

82 cm

(c)

21 cm

(d)

20 cm

17. The formula used to find the area of the circle is ________ sq.units.

(a)

4πr2

(b)

πr2

(c)

2πr2

(d)

πr2 + 2r

18. The formula to find the width of the circular path is

(a)

( L − l ) units

(b)

( B − b ) units

(c)

( R − r ) units

(d)

( r − R ) units

19. How many zeros are there in 10010?

(a)

2

(b)

3

(c)

10

(d)

20

20. The unit digit of (32 x 65)0 is

(a)

2

(b)

5

(c)

0

(d)

1

21. The angles of a triangle are in the ratio 2: 3: 4. Then the angles are

(a)

20, 30, 40

(b)

40, 60, 80

(c)

80, 20, 80

(d)

10, 15, 20

22. If two plane figures are congruent then they have

(a)

same size

(b)

same shape

(c)

same angle

(d)

same shape and same size

23. Identify the correct relationship between x and y from the given table.

 x 1 2 3 4 ... y 4 8 12 16 ...
(a)

y = 4x

(b)

y = x + 4

(c)

y = 4

(d)

y = 4 × 4

24. Identify the correct relationship between x and y from the given table.

 x -2 -1 0 1 2 ... y 6 3 0 -3 -6 ...
(a)

y = −2x

(b)

y = +2x

(c)

y = +3x

(d)

y = −3x

25. What is the sum of the elements of nineth row in the Pascal’s Triangle?

(a)

128

(b)

254

(c)

256

(d)

126

26. Part - B

30 x 2 = 60
27. During summer, the level of the water in a pond decreases by 2 inches every week due to evaporation. What is the change in the level of the water over a period of 6 weeks?

28. From a water tank 100 litres of water is used every day. After 10 days there is 2000 litres of water in the tank. How much water was there in the tank before 10 days?

29. When Malar woke up her temperature was 10rF. Two hours later it was 30 lower, what was her temperature then?

30. Find the area of a trapezium whose parallel sides are 24 cm and 20 cm and the distance between them is 15 cm.

31. A man has to build a rhombus shaped swimming pool. One of the diagonal is 13 m and the other is twice the fi rst one. Then fi nd the area of the swimming pool and also fi nd the cost of cementing the fl oor at the rate of Rs. 15 per sq.cm.

32. In the following figure, PQRS is a parallelogram find x and y.

33. Identify the like terms among the following : 7x, 5y, −8x, 12y, 6z, z, −12x, −9y, 11z.

34. The taxi charges in a city comprise of a fixed charge of Rs.100 for 5 kms and Rs.16 per km for every additional km. If the amount paid at the end of the trip was Rs.740 find the distance travelled.

35. Write any three expressions each having 4 terms:

36. The shadow of a pole with the height of 8 m is 6m. If the shadow of another pole measured at the same time is 30m, find the height of the pole?

37. 10 farmers can plough a field in 21 days. Find the number of days reduced if 14 farmers ploughed the same field?

38. A call taxi charges Rs.130 for 100 km. How much would one travel for Rs. 390?

39. Find the angle $\angle$GEH from the given figure.

40. If the three angles at a point are in the ratio 1 : 4 : 7, find the value of each angle?

41. Can two right angles form a linear pair?

42. Using the given tetrominoes with numbers, complete the 4 x 4 magic square

43. Find the shortest route to Vivekanandar Memorial Hall from the Mandapam using the given map.

44. Find the Shortest distance to reach the play ground from school

Also find out all possible routes

45. Write each of the following as decimal numbers.
900 + 50 + 6 +$\frac { 3 }{ 100 }$

46. There are 26 boys and 24 girls in a class. Express the fractions of boys and girls as decimal numbers.

47. Represent the decimal numbers 0.07 and 0.7 on a number line.

48. The figure shown is the aerial view of the pathway. Find the area of the pathway.

49. A path 5 m wide runs along the inside of the rectangular field. The length of the rectangular field is three times the breadth of the field. If the area of the path is 500 m2 then find the length and breadth of the field.

50. Express each of the following numbers using exponential form.
729

51. If a = 3 and b = 2, then find the value of the following.
aa − bb

52. State whether the two triangles are congruent or not. Justify your answer.

53. In the given figure find the values of x and y.

54. Find the trianglular numbers from the Pascal’s Triangle and colour them.

55. Tabulate and find the relationship between the variables (x and y) for the following patterns.

56. Verify whether the following hexagonal shapes form a part of the Pascal’s Triangle.

57. Part - C

15 x 3 = 45
58. Each day, the workers drill down 22 feet further until they hit a pool of water. If the water is at 110 feet, on which day will they hit the pool of water?

59. In January the high temperature recorded was 90°F and the low temperature was -2°R Find the difference between the high and the low temperatures?

60. Find the area and perimeter of the parallelogram given in the figures
.

61. The floor of a building consists of 2000 tiles which are rhombus shaped and each of its diagonals are 40 cm and 25 cm. Find the total cost of polishing the floor, if the cost per m2 = Rs.5.

62. If x = 3, y = 2 find the value of
(i) 4x + 7y
(ii) 3x + 2y − 5
(iii) x − y

63. If A=2a2-4b-1; B=5a2+3b-8 and C=2a2+9b+3 then find the value of A-B+C.

64. Anbu bought 2 notebooks for ` 24. How much money will be needed to buy 9 such notebooks?

65. If x and y vary inversely as each other and x = 10 when y = 6. Find y when x = 15.

66. Construct a perpendicular bisector of the line segment AB = 6 cm.

67. In the figure EF parallel to GH

68. Raghavan wants to change the front elevation of his house using the tiles made up of tetromino shapes

1. How many tetrominoes are there in a tile ?
2. If the cost of a square tile is Rs. 52 then what will be the cost of the tiles that Raghavan buys for the front elevation?

69. Praveen goes trekking with his friends. He has to record the distance in kilometres in his sports book. Can you help him?
The trekking record for four days are given below
3983 m

70. What is the distance travelled by the tip of the seconds hand of a clock in 1 minute, if the length of the hand is 56 mm (use $\pi =\frac { 22 }{ 7 }$).

71. Find the value of
132

72. In ΔLMN, LM is extended to O. If ㄥL = 620 and ㄥN = 310, find ㄥNMO.

73. Part - D

10 x 5 = 50
74. Ani is scuba diving. She descends 5 feet below sea level. She descends the same distance 4 more times. What is Anis final elevation?

75. The floor of an office building consists of 200 rhombus shaped tiles and each of its length of the diagonals are 40 cm and 25 cm. Find the total cost of polishing the floor at 45 per sq.m.

76. Find the perimeter of a square whose side is y - 2 units.

77. Sum a weaves 25 baskets in 35 days. In how many days will she weave 110 baskets?

78. In the adjoining figure, the lines $\overleftrightarrow { AB }$ and $\overleftrightarrow { CD }$ intersect at 'O'. If ∠COD = 50°, find the measures of the other three angles.

79. Express the following as fractions
A capsule contains 0.85 mg of medicine.

80. Find the area of a hula loop whose diameter is 28 cm (use $\pi =\frac { 22 }{ 7 }$).

81. Find the unit digit of the following exponential numbers:
81100

82. Find the unit digit of the large numbers:
6410

83. Tabulate the 3rd slanting row of the Pascal’s Triangle by taking the position of the numbers in the slanting row as x and the corresponding values as y.

 x 1 2 3 4 5 6 ... y 1 3 6 10 15 21 ...

Verify whether the relationship, y = $\frac { x(x+1) }{ 2 }$ between x and y for the given values is true.