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#### 6th Std Term 3 Fractions Full Study Material

6th Standard

Reg.No. :
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Maths

Time : 01:40:00 Hrs
Total Marks : 100
5 x 1 = 5
1. Which of the following statement is incorrect?

(a)

${1\over2}>{1\over3}$

(b)

${7\over8}>{6\over7}$

(c)

${8\over9}>{9\over10}$

(d)

${10\over11}>{9\over10}$

2. The difference between $3\over7$and $2\over9$ is

(a)

13/63

(b)

1/9

(c)

1/7

(d)

9/16

3. The reciprocal of $53\over17$ is

(a)

53/17

(b)

5 3/17

(c)

17/53

(d)

3 5/17

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

(a)

42

(b)

36

(c)

25

(d)

48

5. Pugazh has been given four choices for his pocket money by his father. Which of the choices should he take in order to get the maximum money?

(a)

2/3 of Rs.150

(b)

3/5 of Rs.150

(c)

1/5  of Rs.150

(d)

4/5  of Rs.150

6. 5 x 1 = 5
7. $7{3\over4}+6{1\over2}=$_________

()

$14{1\over4}$

8. The sum of a whole number and a proper fraction is called ______

()

Mixed Fraction

9. $5{1\over3}-3{1\over2}=$_______

()

$1{5\over6}$

10. $8\div{1\over2}=$_____

()

1

11. The number which has its own reciprocal is ________

()

1

12. 5 x 1 = 5
13. $3{1\over2}$can be written as$3+{1\over2}$

(a) True
(b) False
14. The sum of any two proper fractions is always an improper fraction

(a) True
(b) False
15. The mixed fraction of $13\over4$is $3{1\over4}$

(a) True
(b) False
16. The reciprocal of an improper fraction is always a proper fraction

(a) True
(b) False
17. $3{1\over4}\times3{1\over 3}=9{1\over16}$

(a) True
(b) False
18. 5 x 2 = 10
19. Sankari purchased $2{1\over2}$m cloth to stich a long skirt and $1{3\over 4}m$ cloth to stitch blouse. If the cost is Rs.120 per metre then fi nd the cost of cloth purchased by her

20. From his office, a person wants to reach his house on foot which is at a distance of $5{3\over4}$km. If he had walked $2{1\over 2}km$  how much distance still he has to walk to reach his house?

21. Which is smaller? The difference between $2{1\over2}\ and\ 3{2\over3}$ or the sum of $1{1\over2}\ and\ 2{1\over4}$

22. 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?

23. 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?

24. 15 x 3 = 45
25. Find three equivalent fractions of $3\over 4$ and $2 \over 7$

26. Vinotha, Mugilarasi, Senthamizh were participating in the water filling competition. Each one was given a bottle of equal volume to fill water in it within 30 seconds. If Vinotha filled $1\over 2$ portion of her bottle, Senthamizh filled $3\over 4$ portion of her bottle and Mugilarasi filled $1\over4$ portion of her bottle, then who would get the first, second and third prize?

27. Arrange ${2\over 3},{1\over 6},{4\over 9}$ in ascending order

28. Add $2\over3$and$3\over5$

29. Simplify: ${3\over4}-{1\over2}$

30. Convert $5{3\over7}$into an improper fraction.

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

32. Simplify: $9{1\over4}-3{5\over6}$

33. An oil tin contains $7{1\over2}$ litres of oil which is poured in $2{1\over2}$ litres bottles How many bottles are required to fill $7{1\over2}$ litres of oil?

34. A rod of length 6m is cut into small rods of length $1{1\over2}$ each. How many small rods can be cut?

35. Gowri purchased $3{1\over2}$kg of tomatoes, $3\over4$kg of brinjal and $1{1\over4}$kg of onion. What is the total weight of the vegetables she bought?

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

37. Add the difference between $1{1\over3}$and $3{1\over6}$ and the difference between $4{1\over6}\ and\ 2{1\over3}$

38. What fraction is to be subtracted from 9 3/7 to get 3 1/5?

39. By what number should $3{1\over16}$be multiplied to get $9{3\over16}$ ?

40. 6 x 5 = 30
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 : $7{2\over7}-3{4\over 21}$

42. Convert mixed fractions into improper fractions and vice versa:
$i)3{7\over 18}$
$ii) {99\over7}$
$iii){47\over6}$
$iv) 12{1\over9}$

43. Multiply the following:
$i){2\over3}\times6$
$ii)8{1\over3}\times5$
$iii){3\over8}\times{4\over5}$
$iv){3{5\over7}}\times1{1\over13}$

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

45. A painter painted $3\over8$ of the wall of which one third is painted in yellow colour. What fraction is the yellow colour of the entire wall?

46. A rabbit has to cover $26{1\over4}$m to fetch its food. If it covers $1{3\over4}$m in one jump, then how many jumps will it take to fetch its food?