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#### Ratio and Proportion Important Questions

6th Standard

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Maths

Answer all the questions

Time : 01:40:00 Hrs
Total Marks : 50

Part A

5 x 1 = 5
1. The ratio of 1 m to 50 cm is __________.

(a)

1: 50

(b)

50: 1

(c)

2: 1

(d)

1: 2

2. The ratio of the number of sides of a triangle to the number of sides of a rectangle is

(a)

4 : 3

(b)

3: 4

(c)

3: 5

(d)

3: 2

3. If the ratios formed using the numbers 2, 5, x, 20 in the same order are in proportion, then ‘x’ is

(a)

50

(b)

4

(c)

10

(d)

8

4. If 8 oranges cost Rs 56, then the cost of 5 oranges is Rs ___________.

(a)

42

(b)

48

(c)

35

(d)

24

5. Which of the following fractions is not a proper fraction?

(a)

$\frac { 1 }{ 3 }$

(b)

$\frac { 2 }{ 3 }$

(c)

$\frac { 5 }{ 10 }$

(d)

$\frac { 10 }{ 5 }$

6. Part B

5 x 1 = 5
7. Ratio of Rs3 to Rs5 = __________.

()

3: 5

8. Ratio of 5 km 400 m to 6 km = __________.

()

9: 10

9. 6 : ___ = 1 : 2

()

12

10. 5 :____ : : 10 : 8 : : 15 :_____

()

4; 12

11. If Karkuzhali earns Rs 1800 in 15 days, then she earns Rs 3000 in __________days.

()

25 days

12. Part C

5 x 1 = 5
13. The ratio of 130 cm to 1 m is 13: 10

(a) True
(b) False
14. 5 : 7 is equivalent to 21 : 15

(a) True
(b) False
15. 2 : 7 : : 14 : 4

(a) True
(b) False
16. 10 books is to 15 books as 3 books is to 15 books

(a) True
(b) False
17. A car travels 90 km in 3 hours with constant speed. It will travel 140 km in 5 hours at the same speed.

(a) True
(b) False
18. Part D

5 x 2 = 10
19. Find the simplified form of the following ratios 7 : 15

20. Simplify the ratio 20 : 5

21. Complete the table.

 Feet 1 2 3 ? Inch 12 24 ? 72
22. Fill the boxes using any set of suitable numbers 6 :_____ : :____ : 15.

23. Anban says the $\frac { 2 }{ 6 }$ th of the group of triangles given below are blue. Is he correct?

24. Part E

5 x 3 = 15
25. The cost of parking a bicycle is Rs  5 and the cost of parking a scooter is Rs15. Find the simplest ratio of the parking cost of a bicycle to that of a scooter.

26. Which of the two ratios is larger? 3 : 4 or 7 : 8

27. Write the mean and extreme terms in the following ratios and check whether they are in proportion.
(i) 78 litres is to 130 litre and 12 bottles is to 20 bottles
(ii) 400 gm is to 50 gm and 25 rupees is to 625 rupees

28. In a school excursion, 6 teachers and 12 students from 6th standard and 9 teachers and 27 students from 7th standard, 4 teachers and 16 students from 8th standard took part. Which class has the least teacher to student ratio?

29. The maximum speed of some of the animals are given below :
the Elephant=20 km/h; the Lion=80 km/h; the Cheetah=100 km/h Find the following ratios of their speeds in simplified form and find which ratio is the least?.
(i) the Elephant and the Lion
(ii) the Lion and the Cheetah
(iii) the Elephant and the Cheetah

30. Part F

2 x 5 = 10
31. A picture is resized in a computer as shown below.

Do you observe any change in the shape and size of the picture? Check whether the ratios formed by its length and breadth are in proportion by cross product method.

32. If the ratio of Green, Yellow and Black balls in a bag is 4 : 3 : 5, then
(a) Which is the most likely ball that you can choose from the bag?
(b) How many balls in total are there in the bag if you have 40 black balls in it?
(c) Find the number of green and yellow balls in the bag.