Quarterly Model Question Paper

7th Standard

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Maths

Don't write anything in the Question paper

Time : 02:30:00 Hrs
Total Marks : 100

    Part - A

    5 x 1 = 5
  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. 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

  3. The solution of 3x + 5 = x + 9 is

    (a)

    2

    (b)

    3

    (c)

    5

    (d)

    4

  4. An aircraft can accommodate 280 people in 2 trips. It can take ______trips to take 1400 people.

    (a)

    8

    (b)

    10

    (c)

    9

    (d)

    12

  5. Vertically opposite angles are

    (a)

    not equal in measure

    (b)

    complementary

    (c)

    supplementary

    (d)

    equal in measure

  6. Part - B

    5 x 1 = 5
  7. _____\(\times \) (-9) = -45

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    5

  8. The subtraction of 5m from −3m is __________

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    -8m

  9. An expression equated to another expression is called __________

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    equation

  10. If the weight of one fruit box is 3\(\frac { 1 }{ 2 } \)kg, then the weight of 6 such boxes is _________.

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    21kg.

  11. Draw a tetromino which passes symmetry __________

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  12. Part - C

    5 x 1 = 5
  13. (-100) x 0 x 20 = 0

    (a) True
    (b) False
  14. The co-efficient of ab in the term 15 abc is 15.

    (a) True
    (b) False
  15. The expressions 8x + 3y and 7x + 2y can not be added.

    (a) True
    (b) False
  16. Distance travelled by a bus and time taken are in direct proportion.

    (a) True
    (b) False
  17. If 12 men can dig a pond in 8 days, then 18 men can digit in 6 days.

    (a) True
    (b) False
  18. Part - D

    5 x 1 = 5
  19. For any two integers 72 and 108, 72 +108 is an also an integer

  20. (1)

  21. 0 + (−138) = (−138) = (−138)+0

  22. (2)

    Additive identity

  23. 1 x (-1098) = (–1098) = (–1098) x 1

  24. (3)

    Multiplicative identity

  25. (4)

  26. (5)

    Closed under addition

    Part - E

    10 x 2 = 20
  27. In a quiz competition, Team A scored +30,–20, 0 and team B scored –20, 0, +30 in three successive rounds. Which team will win? Can we say that we can add integers in any order?

  28. A student was asked to subtract (–12) from (–47). He got −30.Is he correct? Justify.

  29. The product of two integers is −135. If one number is −15, Find the other integer.

  30. Find the product of (-30) x (-70) x 15

  31. An elevator is on the twentieth floor, It goes down 11floors and then up 5 floors, What floor is the elevator on now?

  32. Find the area of a rhombus whose base is 14 cm and height is 9 cm.

  33. Two adjacent sides of a parallelogram are 5 cm and 7 cm respectively. Find its perimeter.

  34. Group the like terms together from the following : 6x, 6, -5x, - 5, l,x, 6y,y, 7y, 16x, 3

  35. The amount of extension in an elastic spring varies directly as the weight hung on it. If a weight of 150 gm produces an extension of 2.9 cm, then what weight would produce an extension of 17.4 cm?

  36. Can two obtuse angles form a linear pair?

  37. Part - F

    10 x 3 = 30
  38. Sita saved Rs. 225.00 and she has spent Rs. 400 on credit basis for the purchase of stationery. Find her due amount.

  39. A fruit seller sold 5kg of mangoes at a profit of Rs. 15 per kg and 3kg of apples at a loss of Rs. 30 per kg. Find whether it is a profit or loss.

  40. Roman civilization began in 509 Be and ended in 476 AD. How long did Romans civilization last.

  41. Find the height 'h' of the parallelogram whose area and base are 368 sq. cm and 23 cm respectively

  42. Find the altitude ofthe rhombus whose area is 315 cm2 and its perimeter is 180 cm.

  43. 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.

  44. How much 2x- 2x+ 3x + 5 is greater than 2x+ 7x 2- 2x + 7?

  45. Two angles are in the ratio 3:2. If they are linear pair, find them.

  46. Can two lines intersect in more than one point?

  47. Madhan has to go to Karur from Coimbatore for an official visit. On his onward journey, he goes via Vellakoil to reach Karur. While returning to Coimbatore he travels via Erode. Both the routes travelled by him are given in the Fig Find the shortest route?

  48. Part - G

    6 x 5 = 30
  49. Find the value of :
    (i) (-11) - (-33) 
    (ii) (-90)-(-50)

  50. What is the balance in Chezhiyan’s account as a result of a purchase for Rs. 1079, if he had an opening balance of Rs. 5000 in his account?

  51. Length of one side of an equilateral triangle is 3x - 4 units. Find the perimeter

  52. Sumathi sweeps 600 m long road in \(2\cfrac { 1 }{ 2 } \) hrs. Ramani sweeps \(\cfrac { 2 }{ 3 } \)rd of same road in \(1\cfrac { 1 }{ 2 } \) I!hrs. Who sweeps more speedily?

  53. (i) Which angles are corresponding angles to b°?
    (ii) What is the measure of b°?
    (iii) Which angles have the measure 68°?
    (iv) Which angles have the measure 112°?

  54. In the following figure, show that CDIIEF

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