#### Fractions Model Question Paper

6th Standard

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Maths

Time : 02:00:00 Hrs
Total Marks : 50
3 x 1 = 3
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. 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

4. 3 x 1 = 3
5. $7{3\over4}+6{1\over2}=$_________

()

$14{1\over4}$

6. $5{1\over3}-3{1\over2}=$_______

()

$1{5\over6}$

7. The number which has its own reciprocal is ________

()

1

8. 3 x 1 = 3
9. $3{1\over2}$can be written as$3+{1\over2}$

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

(a) True
(b) False
11. $3{1\over4}\times3{1\over 3}=9{1\over16}$

(a) True
(b) False
12. 5 x 2 = 10
13. 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

14. 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?

15. Shade the rectangle for the given pair of fractions and say which is greater among them.
(i) $\cfrac { 1 }{ 3 } and\cfrac { 1 }{ 5 }$

(ii) $\cfrac { 2 }{ 5 } and\cfrac { 5 }{ 8 }$

16. Which js greater $\cfrac { 3 }{ 8 } or\cfrac { 3 }{ 5 } ?$

17. Arrange the fractions in descending order.$\cfrac { 9 }{ 20 } ,\cfrac { 3 }{ 4 } ,\cfrac { 7 }{ 12 }$
(i) $\cfrac { 2 }{ 3 } +\cfrac { 5 }{ 7 }$
(ii) $\cfrac { 3 }{ 5 } -\cfrac { 3 }{ 8 }$

18. 7 x 3 = 21
19. Find three equivalent fractions of $3\over 4$ and $2 \over 7$

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

21. Simplify: ${3\over4}-{1\over2}$

22. Kandan shares$1\over2$piece of a cake between 2 persons. What will be the share of each?

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

24. Write the fraction of shaded part in the following:
(i)

(ii)

(iii)

25. (i) Convert $3\frac { 1 }{ 3 }$ into improper fraction.
(ii) Convert $\cfrac { 45 }{ 7 }$ into improper fraction.

26. 2 x 5 = 10
27. 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?

28. (i) Find the sum of $5\cfrac { 4 }{ 9 }$and $3\cfrac { 1 }{ 6 }$
(ii) Subtract $7\cfrac { 1 }{ 6 }$ from $12\cfrac { 3 }{ 8 }$