Proportional Reasoning 2 Class 8 Long Question Answer
easyProportional Reasoning 2 Class 8 Long Question Answer
Proportional Reasoning 2 Class 8 Long Question Answer
Question 1.
Answer the following questions based on the pie chart given :
(i) Which type of programmes are viewed the most?
(ii) Which two types of programmes have number of viewers equal to those watching sports channels ?
Solution:
From the given pie chart, clearly,
(i) Entertainment programmes are viewed the most.
(ii) The programmes about news and information together have equal viewers to those of sports channels.
Question 2.
Draw a pie chart of the data given below:
The time spent by a child during a day:
Sleep — 8 hours
School — 6hours
Home work — 4 hours
Play — 4 hours
Others — 2 hours
Solution:
Let us represent this data in the form of a pie chart. The total angle at the centre is 360°. The central angle of the sectors will be a fraction of 360. We make a table to find the central angle of the sectors.
| Time spent on | In hours | In fractions | Fraction of 360° |
| Sleep | 8 | [latex]\frac{8}{24}[/latex] = [latex]\frac{1}{3}[/latex] | [latex]\frac{1}{3}[/latex] of 360° = 120° |
| School | 6 | [latex]\frac{6}{24}[/latex] = [latex]\frac{1}{4}[/latex] | [latex]\frac{1}{4}[/latex] of 360° = 90° |
| Home work | 4 | [latex]\frac{4}{24}[/latex] = [latex]\frac{1}{6}[/latex] | [latex]\frac{1}{6}[/latex] of 360° = 60° |
| Play | 4 | [latex]\frac{4}{24}[/latex] = [latex]\frac{1}{6}[/latex] | [latex]\frac{1}{6}[/latex] of 360° = 60° |
| Others | 2 | [latex]\frac{2}{24}[/latex] = [latex]\frac{1}{12}[/latex] | [latex]\frac{1}{12}[/latex] of 360° = 30° |
We make the pie chart as shown below :
