Class 6 Integers Important Questions and Answers

6th Standard

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Maths

Time : 02:30:00 Hrs
Total Marks : 75
    5 x 1 = 5
  1. There are __________ positive integers from −5 to 6.

    (a)

    5

    (b)

    6

    (c)

    7

    (d)

    11

  2. The opposite of 20 units to the left of 0 is

    (a)

    20

    (b)

    0

    (c)

    -20

    (d)

    40

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

    (a)

    +1

    (b)

    -8

    (c)

    -7

    (d)

    -6

  4. 3 units to the left of 1 is

    (a)

    -4

    (b)

    -3

    (c)

    -2

    (d)

    3

  5. The number which determines marking the position of any number to its opposite on a number line is

    (a)

    -1

    (b)

    0

    (c)

    1

    (d)

    10

  6. 5 x 1 = 5
  7. The potable water available at 100m below the ground level is denoted as __________ m.

    ()

    –100

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

    ()

    -7

  9. −46 is to the_____ of −35 on the number line

    ()

    left

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

    ()

    11

  11. ______ is an integer which is neither positive nor negative

    ()

    0

  12. 5 x 1 = 5
  13. Each of the integers−18, 6, −12, 0 is greater than −20.

    (a) True
    (b) False
  14. −1 is to the right of 0.

    (a) True
    (b) False
  15. −10 and 10 are at equal distance from 1

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

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

    (a) True
    (b) False
  18. 5 x 2 = 10
  19. Mark the numbers 4, −3, 6, −1 and −5 on the number line.

  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 opposite of the following numbers
    i) 44
    ii) −19
    iii) 0
    iv) −312
    v) 789

  22. If 15 km east of a place is denoted as + 15 km, what is the integer that represents
    15 km west of it?

  23. Construct a number line that shows the depth of 10 feet from the ground level and its opposite

  24. 10 x 3 = 30
  25. Draw a number line and mark the integers 6, –5, –1, 4 and –7 on it.

  26. Represent the following situations as integers:
    i) A gain of Rs.1000
    ii) 20°C below 0°C
    iii) 1990 BCE (BC)
    iv) A deposit of Rs.15847
    v) 10 kg below normal weight

  27. Using the number line, write the integer which is 5 more than −6.

  28. Find the predecessor and successor of i) 0 and ii) −8 on a number line.

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

  30. Write all the integers between the given numbers.
    i) 7 and 10
    ii) −5 and 4
    iii) −3 and 3
    iv) −5 and 0

  31. Arrange the following integers in ascending order.
    i) −11, 12, −13, 14, −15, 16, −17, 18, −19, −20
    ii) −28, 6, −5, −40, 8, 0, 12, −1, 4, 22
    iii) −100, 10, −1000, 100, 0, −1, 1000, 1, −10

  32. Mark the following numbers on a number line
    i) All integers which are greater than −7 but less than 7.
    ii) The opposite of 3.
    iii) 5 units to the left of −1.

  33. Look at the Celsius Thermometer and answer the following questions:
    i) What is the temperature that is shown in the Thermometer?
    ii) Where will you mark the temperature 50 C below 00 C in the Thermometer?
    iii) What will be the temperature, if 100 C is reduced from the temperature shown in the Thermometer?
    iv) Mark the opposite of 150 C in the Thermometer.

  34. P, Q, R and S are four different integers on a number line. From the following clues, find these integers and write them in ascending order.

  35. 4 x 5 = 20
  36. Assuming that the home to be the starting point, mark the following places in order on the number line as per instructions given below and write their corresponding integers

    Places: Home, School, Library, Playground, Park, Departmental Store, Bus Stand, Railway Station, Post Office, Electricity Board.

  37. Complete the table using the following hints:
    C1: the first non-negative integer.
    C3: the opposite to the second negative integer.
    C5: the additive identity in whole numbers.
    C6: the successor of the integer in C2.
    C8: the predecessor of the integer in C7.
    C9: the opposite to the integer in C5

  38. 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.

  39. 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.

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