#### 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
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