Shorts Questions: Ratio & Proportion - Class 6 PDF Download

Q1: Green paint is made by mixing blue, yellow and white paints in the ratio 2 : 7 : 1. How much blue paint is needed to make 64 litres of green paint?
Ans: Here, sum of ratios = 2 + 7 + 1 = 10
∴ Total quantity of green paint = 64 litres
Quantity of blue paint = 2/10 x 64 = 12.8 litres
Therefore, the required blue paint = 12.8 litres.

Q2: In each of the following figures, find the ratio of the shaded region to the unshaded region.

Ans: (a) Number of shaded parts = 4
Number of unshaded parts = 12

Required ratio = 1 : 3
(b) Number of shaded parts = 2
Number of unshaded parts = 4


Q3: Are 20, 25, 12, 15 in proportion?
Ans: We have 20, 25, 12, 15
Product of extremes = 20 x 15 = 300
Product of middles = 25 x 12 = 300
Since both the products are same.
∴ The four numbers 20, 25, 12, 15 are in proportion.

Q4: The first, second and fourth terms in a proportion are 32, 112, 217 respectively. Find the third term.
Ans: Let the third term be x.
∴ 32, 112, x and 217 are in proportion.
∴ 32 : 112 :: x : 217
 
Thus, the third term = 62.

Q5: Find the value of x, if
(а) 8, x, x, 50 are in proportion.
(b) 36, 90, 90, x are in proportion.
Ans: (a) Since 8, x, x, 50, are in proportion.
∴ x × x = 8 × 50
⇒ x2 = 400
∴ x = 20
(b) Since 36, 90, 90, x are in proportion.
∴ 36 × x = 90 × 90
⇒ x = 90 × 90/36 = 225
∴ x = 225

Q6: 39 packets of 12 pens each costs ₹ 374.40. Find the cost of 52 packets of 10 pens each.
Ans: Number of pens in 1 packet = 12
Number of pens in 39 packets = 12 x 39 = 468
Number of pens in 1 packet = 10
Number of pens in 52 packets = 10 x 52 = 520
Now cost of 468 pen = ₹ 374.40


Q7: Find the ratio of 45 minutes to an hour?
Ans: To find 45 min:1 hour
We know that one hour = 60 min
Therefore, 45 min:1 hour = 45 min:60 mnt
= 45/60
Dividing numerator and denominator by 3

Dividing numerator and denominator by 5


Q8: Find the ratio 250 ml to 4 l.
Ans: To find 250 ml:4 l
First, let’s convert 4 l into ml
We know
1l = 1000ml
∴ 4l = 1000 × 4ml
⇒ 4l = 4000 ml
Now,

= 1/16
= 1:16
The required Ratio is 1:16.

Q9: Find the equivalent ratio of 75:100
Ans: = 75:100

= 3/4

Q10: Are 20, 40, 60, 120 in proportion?
Ans: First we will find 20:40 and 60:120

The numbers in the simplest form are equal.
Yes, 20, 40, 60, 120 are in proportion.