#### Integers Model Question Paper

6th Standard

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Maths

Time : 01:30:00 Hrs
Total Marks : 50
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. 4 x 1 = 4
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. There are ______ integers from−5 to +5 (both inclusive).

()

11

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

()

0

11. 4 x 1 = 4
12. Each of the integers−18, 6, −12, 0 is greater than −20.

(a) True
(b) False
13. −10 and 10 are at equal distance from 1

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

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

(a) True
(b) False
16. 6 x 2 = 12
17. Mark the numbers 4, −3, 6, −1 and −5 on the number line.

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

19. Write two different reallife situations that represent the integer −3.

20. Identify the integers and mark on the number line that are at a distance of 8 units from −6.

21. Which part of the integers are not whole numbers?

22. How many units should you move to the left of 3 to reach -4 ?

23. 5 x 3 = 15
24. Draw a number line and mark the integers 6, –5, –1, 4 and –7 on it.

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

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

27. Compare −14 and −11

28. 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

29. 2 x 5 = 10
30. 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.

31. Suppose in a building, there are 2 basement floors. If the ground floor is denoted as zero, how can we represent the basement floors?
(i) Is - 15 < - 26 ? why?
(ii) Which is smaller - 3 or -5 ? Why?
(iii) Which is greater 7 or -4 ? Why?
(iv) Which is the greatest negative integer?
(v) Which is the smallest positive integer?