#### VI STD 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. If ${6\over7}={A\over49}$then the value of A is

(a)

42

(b)

36

(c)

25

(d)

48

2. 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

3. If two identical rectangles of perimeter 30 cm are joined together, then the perimeter of the new shape will be

(a)

equal to 60 cm

(b)

less than 60 cm

(c)

greater than 60 cm

(d)

equal to 45 cm

4. Which word has a vertical line of symmetry?

(a)

(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. $7{3\over4}+6{1\over2}=$_________

()

$14{1\over4}$

8. The number which has its own reciprocal is ________

()

1

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

()

11

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

()

0

11. ___________ symmetry occurs when an object slides to new position

()

Translation

12. III. True or False

5 x 1 = 5
13. $3{1\over2}$can be written as$3+{1\over2}$

(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 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. The length of the staircase is 5 1/2m If one step is set at 1/4m then how many steps will be there in the staircase?

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

21. The area of a rectangular shaped photo is 820 sq. cm. and its width is 20 cm. What is its length? Also find its perimeter

22. Complete the other half of the following figures such that the dotted line is the line of symmetry

23. Fill in the following information

24. The teacher had given the same situation mentioned above and asked two students Ravi and Arun to solve it. They came out with the answers for ${1\over2}+{1\over 4}$

25. In the above situation, find the quantity of milk left over. So subtract $3{1\over4}$from $5{1\over2}$

26. Arrange the following integers in descending order.
i) 14, 27, 15, −14, −9, 0, 11, −17
ii) −99, −120, 65, −46, 78, 400, −600
iii) 111, −222, 333, −444, 555, −666, 7777, −888

27. Find the perimeter of a triangle whose sides are 3 cm, 4 cm and 5 cm

28. Fill in the blanks.
i) 2 cm2 = _____ mm2
ii) 18 m2 = _____ cm2
iii) 5 km2 = _____ m2

29. Draw the reflection image of the following figures about the given line.

30. Observe the calendar showing the month of January 2019.

JANUARY 2019
S M T W T F S
1 2 3 4 5
6 7 8 9 10 11 12
13 14 15 16 17 18 19
20 21 22 23 24 25 26
27 28 29 30 31

Answer the following questions
i) Sort out the prime and composite numbers from the calendar.
ii) Sort out the odd and even numbers.
iii) Sort out the multiples of 6; multiples of 4; the common multiples of 4 and 6 and LCM of the two numbers.
iv) Sort out the dates which fall on Monday.

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

5 x 5 = 25
32. Divide the following:
$i){3\over7}\div4$
$ii){4\over3}\div{5\over9}$
$iii)4{1\over5}\div3{3\over 4}$
$iv)9{2\over3}\div1{2\over3}$

33. 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

34. A rectangle has length 40 cm and breadth 20 cm. How many squares with side 10 cm can be formed from it.

35. Find the approximate area of the fl ower in the given square grid.

36. Find the line of symmetry and the order of rotational symmetry of the given regular polygons and complete the following table and answer the questions given below

 Shape Equilateral triangle Square Regular pentagon Regular hexagon Regular octagon Number of lines of symmetry Order of rotational symmetry

i) A regular polygon of 10 sides will have ______ lines of symmetry.
ii) If a regular polygon has 10 lines of symmetry, then its order of rotational symmetry is _______
iii) A regular polygon of 'n' sides has _______ lines of symmetry and the order of rotational symmetry is _______.

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