Class 6 Maths Chapter 12 Practice Question Answers - Ratio and Proportion

Q1: If a, b, c, d are in proportion, then
(a) ac = bd
(b) ad = bc
(c) ab = cd
(d) None of these
Ans: (b) ad = bc
If the ratio of the first two quantities equals the ratio of the last two quantities, the numbers a, b, c, and d are proportional.

Q2: A ratio has _____ units
Ans: No
Because a ratio is made up of similar quantities, the units cancel each other out, and thus there is no unit for a ratio.

Q3: In a ratio, the first term is called ____ and the second term is called ______.
Ans: Antecedent, Consequent
For example, in ratio 13 : 15, 13 is Antecedent and 15 is Consequent.

Q4: Product of ______ = Product of extremes.
Ans: Means
In a proportion, the first and last terms are known as the extremes, while the second and third terms are known as the Means.

Q5: If 30 oranges cost Rs. 120. What is the cost of 50 oranges?
Ans: Here we will use the unitary method.
Cost of 30 oranges =  Rs.120
Now, cost of one orange = 120/30 = Rs.4
Cost of 50 oranges = cost of one orange × cost of fifty oranges
= 4 × 50
= Rs.200

Q6: The length and breadth of a field are 80 m and 30 m. what is the ratio of the breadth and length of the park?      
Ans: Given,
Length of park = 80 m
Breadth of park = 30 m
Ratio of the breadth and length = Breadth/Length = 30m/80m
= 3/8
Required ratio is 3 : 8.

Q7: Find the ratio of 40 cm to 2.5 m.
Ans: Let’s first convert 2.5 m into cm
2.5 m = 2.5 × 100
 = 250 cm
Now,
40 cm : 2.5 = 40 cm : 250 cm
= 40 : 250
= 40/250
= 425
The required ratio is 4 : 25.

Q8: Convert 80 : 50 into simplification.
Ans: Given ratio of 80 : 50
Expressing as fractions