6. Determine if the given ratios form a proportion.
la) 30 litres : 50 litres and 21 km: 35 km (b) 7 hours: 4 hours and 7 21:39
Answers
Answer:
Page No 251:
Question 1:
There are 20 girls and 15 boys in a class.
(a) What is the ratio of number of girls to the number of boys?
(b)What is the ratio of number of girls to the total number of students in the class?
ANSWER:
Number of girls = 20
Number of boys = 15
Total number of students = 20 + 15 = 35
(a) Ratio of number of girls to boys =
(b) Ratio of number of girls to total students =
Page No 251:
Question 2:
Out of 30 students in a class, 6 like football, 12 like cricket and remaining like tennis. Find the ratio of
(a) Number of students liking football to number of students liking tennis.
(b) Number of students liking cricket to total number of students.
ANSWER:
Number of students who like football = 6
Number of students who like cricket = 12
Number of students who like tennis = 30 − 6 − 12 = 12
(a) Ratio of the number of students liking football to the number of students liking tennis =
(b) Ratio of the number of students liking cricket to the total number of
students =
Video Solution for ratio and proportion (Page: 251 , Q.No.: 2)
NCERT Solution for Class 6 math - ratio and proportion 251 , Question 2
Page No 251:
Question 3:
See the figure and find the ratio of
(a) Number of triangles to the number of circles inside the rectangle.
(b) Number of squares to all the figures inside the rectangle.
(c) Number of circles to all the figures inside the rectangle.
ANSWER:
Number of triangles = 3
Number of circles = 2
Number of squares = 2
Total number of figures = 7
(a) Ratio of the number of triangles to the number of circles =
(b) Ratio of the number of squares to all the figures in the rectangle =
(c) Ratio of the number of circles to all the figures in the rectangle =
Video Solution for ratio and proportion (Page: 251 , Q.No.: 3)
NCERT Solution for Class 6 math - ratio and proportion 251 , Question 3
Page No 251:
Question 4:
Distances travelled by Hamid and Akhtar in an hour are 9 km and 12 km. Find the ratio of speed of Hamid to the speed of Akhtar.
ANSWER:
The distance travelled in an hour by a certain object is called the speed of that object.
Distance travelled by Hamid in one hour = 9 km
Distance travelled by Akhtar in one hour = 12 km
Hamid’s speed = 9 km/hr
Akhtar’s speed = 12 km/hr
Page No 251:
Question 5:
Fill in the following blanks:
[Are these equivalent ratios?]
ANSWER:
Therefore, 5, 12, 25 will come in the blanks respectively.
Yes, all these are equivalent ratios.
Page No 251:
Question 6:
Find the ratio of the following:
(a) 81 to 108 (b) 98 to 63
(c) 33 km to 121 km (d) 30 minutes to 45 minutes
ANSWER:
(a)
(b)
(c)
(d)
Sheela will get of total pens and Sangeeta will get of total pens.
Number of pens with Sheela =
Number of pens with Sangeeta =
Video Solution for ratio and proportion (Page: 252 , Q.No.: 14)
NCERT Solution for Class 6 math - ratio and proportion 252 , Question 14
Page No 252:
Question 15:
Mother wants to divide Rs 36 between her daughters Shreya and Bhoomika in the ratio of their ages. If age of Shreya is 15 years and age of Bhoomika is 12 years, find how much Shreya and Bhoomika will get.
ANSWER:
Ratio of ages =
Therefore, mother wants to divide Rs 36 in a ratio of 5 : 4.
Terms of 5 : 4 are 5 and 4.
Sum of these terms = 5 + 4 = 9