Term 3 Full Study Material

6th Standard

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Maths

Time : 02:15:00 Hrs
Total Marks : 60
    5 x 1 = 5
  1. The reciprocal of \(53\over17\) is

    (a)

    53/17

    (b)

    5 3/17

    (c)

    17/53

    (d)

    3 5/17

  2. One unit to the right of −7 is...........

    (a)

    +1

    (b)

    -8

    (c)

    -7

    (d)

    -6

  3. The following figures are of equal area. Which figure has the least perimeter?

    (a)

    (b)

    (c)

    (d)

  4. The order of rotational symmetry of is ____

    (a)

    5

    (b)

    6

    (c)

    7

    (d)

    8

  5. What will be the 25th letter in the pattern? ABCAABBCCAAABBBCCC,...

    (a)

    B

    (b)

    C

    (c)

    D

    (d)

    A

  6. 5 x 1 = 5
  7. \(7{3\over4}+6{1\over2}=\)_________

    ()

    \(14{1\over4}\)

  8. \(5{1\over3}-3{1\over2}=\)_______

    ()

    \(1{5\over6}\)

  9. The potable water available at 100m below the ground level is denoted as __________ m.

    ()

    –100

  10. There are ______ integers from−5 to +5 (both inclusive).

    ()

    11

  11. The order of rotational symmetry of the letter ‘z’ is ______

    ()

    Two

  12. 5 x 1 = 5
  13. \(3{1\over4}\times3{1\over 3}=9{1\over16}\)

    (a) True
    (b) False
  14. Each of the integers−18, 6, −12, 0 is greater than −20.

    (a) True
    (b) False
  15. All negative integers are greater than zero

    (a) True
    (b) False
  16. A rectangle has four lines of symmetry

    (a) True
    (b) False
  17. The reflection of the name RANI is 

    (a) True
    (b) False
  18. IV. Answer any 10 in the following :

    10 x 2 = 20
  19. Arrange the fractions in descending order.\(\cfrac { 9 }{ 20 } ,\cfrac { 3 }{ 4 } ,\cfrac { 7 }{ 12 } \)
    (i) \(\cfrac { 2 }{ 3 } +\cfrac { 5 }{ 7 } \)
    (ii) \(\cfrac { 3 }{ 5 } -\cfrac { 3 }{ 8 } \)

  20. Draw a number line and mark thfollowing integers
    (i) 0
    (ii) -6
    (iii) 5
    (iv)-8

  21. Find the perimeter and the area of the rectangle whose length is 6 m and breadth is 4 m.

  22. Draw a line of symmetry of the given figures such that one hole coincide with the other hole(s) to make pairs.

  23. Give instructions to fill in a bank withdrawal form issued in a bank

  24. Convert \(5{3\over7}\)into an improper fraction.

  25. Ravi bought a curtain of length \(15{3\over4}\)m. If he cut the curtain into small pieces each of length \(2{1\over4}\) m, then how many small curtains will he get?

  26. Put the appropriate signs as <, > or = in the box.
    i) −7\(\boxed\ \) 8
    ii) −8 \(\boxed\ \) −7
    iii) −999 \(\boxed\ \) −1000
    iv) −111 \(\boxed\ \) −111
    v) 0 \(\boxed\ \) −200

  27. Find the perimeter of the given figure.

  28. Rahim and Peter go for a morning walk, Rahim walks around a square path of side 50 m and Peter walks around a rectangular path with length 40 m and breadth 30 m. If both of them walk 2 rounds each, who covers more distance and by how much?

  29. Draw the lines of symmetry for an equilateral triangle, a square, a regular pentagon and a regular hexagon and also find the number of lines of symmetry.

  30. Find HCF of 188 and 230 by Euclid's game.

  31. V. Answer any 5 in the following questions:

    5 x 5 = 25
  32. Answer the following:
    i) Find the sum of \(1\over7\)and \(3\over9\).
    ii) What is the total of \(3{1\over3}\)and \(4{1\over6}\) ?
    iii) Simplify: \(1{3\over5}+5{4\over7}\)
    iv) Find the difference between \(8\over 9\)and \(2\over7\)
    v) Subtract \(1{3\over 5}\)from \(2{1\over3}\)
    vi) Simplify : \(7{2\over7}-3{4\over 21}\)

  33. Answer the following questions from the number line given below
    i) Which integer is greater : G or K ? Why ?
    ii) Find the integer that represents C.
    iii) How many integers are there between G and H?
    iv) Find the pairs of letters which are opposite of a number.
    v) Say True or False : 6 units to the left of D is −6.

  34. The length of a rectangle is three times its breadth. If its perimeter is 64 cm, fi nd the sides of the rectangle

  35. How many different rectangles can be made with a 48 cm long string? Find the possible pairs of length and breadth of the rectangles.

  36. Draw the following :
    i) A figure which has reflection symmetry but no rotational symmetry.
    ii) A figure which has rotational symmetry but no reflection symmetry.
    iii) A figure which has both reflection and rotational symmetry.

  37. Prepare a daily time schedule for evening study at home

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