Term 3 SA Model Question

6th Standard

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Maths

Time : 02:30:00 Hrs
Total Marks : 60

    I. Choose the best answer

    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. Which word has a vertical line of symmetry?

    (a)

    DAD

    (b)

    NUN

    (c)

    MAM

    (d)

    EVE

  5. The difference between 6th term and 5th term in the Fibonacci sequence is

    (a)

    6

    (b)

    8

    (c)

    5

    (d)

    3

  6. II. Fill in the blanks

    5 x 1 = 5
  7. \(5{1\over3}-3{1\over2}=\)_______

    ()

    \(1{5\over6}\)

  8. \(8\div{1\over2}=\)_____

    ()

    1

  9. A swimmer dives to a depth of 7 feet from the ground into the swimming pool. The integer that represents this, is _______ feet.

    ()

    -7

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

    ()

    11

  11. A fi gure is said to have rotational symmetry, if the order of rotation is atleast ______

    ()

    Two

  12. III. True or False

    5 x 1 = 5
  13. The mixed fraction of \(13\over4\)is \(3{1\over4}\)

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

    (a) True
    (b) False
  15. All whole numbers are integers.

    (a) True
    (b) False
  16. A shape has reflection symmetry if it has a line 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. Mangai bought \(6{3\over4}\)kg of apples. If Kalai bought \(1{1\over2}\) times as Mangai bought, then how many kilograms of apples did Kalai buy?

  20. On the number line, which number is
    i) 4 units to the right of −7?
    ii) 5 units to the left of 3?

  21. Find the perimeter and the area of a right angled triangle whose sides are 6 feet, 8 feet and 10 feet.

  22. Draw the lines of symmetry of the following.

  23. Study and complete the following pattern
    i) 1 x 1 = 1 
    11 x 11 = 121
    111 x 111 = 12321
    1111 x 1111 = ?
    11111 x 11111 = ?

  24. An oil tin contains \(3{3\over4}\)litres of oil of which \(2{1\over2}\)litres of oil is used. How much oil is left over?

  25. Nilavan can walk \(4{1\over2}\)km in an hour. How much distance will he cover in \(3{1\over2}\)hours?

  26. Arrange the following integers in ascending order:
    −15, 0, −7, 12, 3, −5, 1, −20, 25, 18

  27. Find the length of the rectangular blackboard whose perimeter is 6 m and the breadth is 1 m.

  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. Using the given pattern, colour and complete the boxes in such a way that it posseses translation symmetry

  30. Find the HCF of two numbers 16 and 28.

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

    5 x 5 = 25
  32. Convert mixed fractions into improper fractions and vice versa:
    \(i)3{7\over 18}\)
    \(ii) {99\over7}\)
    \(iii){47\over6}\)
    \(iv) 12{1\over9}\)

  33. The following bar graph shows the profit (+) and loss (−) of a small scale company
    (in crores) between the years 2011 to 2017.

    i) Write the integer that represents a profit or a loss for the company in 2014?
    ii) Denote by an integer on the profit or loss in 2016.
    iii) Denote by integers on the loss for the company in 2011 and 2012.
    iv) Say True or False: The loss is minimum in 2012.
    v) Fill in: The amount of loss in 2011 is _______ as profit in 2013.

  34. What will be the area of a new square formed if the side of a square is made one-fourth?

  35. Look at the picture of the house given and find the total area of the shaded portion.

  36. Shade one square so that it possesses
    i) One line of symmetry
    ii) Rotational symmetry of order 2

  37. Follow the given instructions to fill your name in the OMR sheet.
    The name should be written in capital letters from left to right.
    One alphabet is to be entered in each box.
    If any empty boxes are there at the end they should be left blank.
    Ballpoint pen is to be used for shading the bubbles for the corresponding alphabets.

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