Question 5 - Figure it out - Page 67, 68 - Chapter 3 Class 8 - Proportional Reasoning-2 (Ganita Prakash II)

Transcript

Question 5 The pie chart on the right shows the result of a survey carried out to find the modes of transport used by children to go to school. Study the pie chart and answer the following questions. (i) What is the most common mode of transport? First let's find the missing angle for the "Car" slice. A full circle is 360^∘. So, we can write Car angle =360^∘−(90^∘+120^∘+60^∘+60^∘ ) =360^∘−330^∘ =〖𝟑𝟎〗^∘ So, our diagram looks like Now, we are asked What is the most common mode of transport? The one with the largest angle is the most common form of transport Thus, most common mode is Bus (〖𝟏𝟐𝟎〗^∘ ). To find the fraction, we divide angle by 360° because 360° is the central angle of circle.Question 5 (ii) What fraction of children travel by car? Now, Fraction traveling by car = (Angle of car)/(Total angle) =(30°)/(360° ) =𝟏/𝟏𝟐 Question 5 (iii) If 18 children travel by car, how many children took part in the survey? How many children use taxis to travel to school?Given that 18 children travel by car Now, Fraction travelling by car = (𝑪𝒉𝒊𝒍𝒅𝒓𝒆𝒏 𝒕𝒓𝒂𝒗𝒆𝒍𝒍𝒊𝒏𝒈 𝒃𝒚 𝒄𝒂𝒓)/(𝑻𝒐𝒕𝒂𝒍 𝒄𝒉𝒊𝒍𝒅𝒓𝒆𝒏) Putting values 𝟏/𝟏𝟐 = 𝟏𝟖/(𝑻𝒐𝒕𝒂𝒍 𝒄𝒉𝒊𝒍𝒅𝒓𝒆𝒏) 1 × Total children = 18 × 12 Total children = 216 Thus, total number of children surveyed is 216 children. The second part of the question is How many children use taxis to travel to school? Since "Taxi" is not a category on this chart, so the answer according to the data is 𝟎. Question 5 (iv) By which two modes of transport are equal numbers of children travelling?Equal numbers travel by Cycle and Two-wheeler, as both are 〖𝟔𝟎〗^∘.