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Maths 3 Mark Question

Constructing and Interpreting Bar Graphs · Maharashtra Board STD 8 (MSBSHSE - Semi English Medium). 5 questions.

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3 Mark Question

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5 questions · self-marked practice — reveal the answer and mark yourself.

Question 13 Marks
A man started his journey on his car from location a and came back. The graph given below shows his position at different times during the whole journey.

Study the above graph carefully and answer the questions given below:
  1. At what time did he start and end his journey?
  2. What was the total duration of the journey?
  3. Which journey, onward or return, was of longer duration?
  4. For how many hours did he not move?
  5. At what time did he have the fastest speed?
Answer
  1. He starts his journey at 5:30 am and end at 6 pm.
  2. Total duration of the journey was 12h 30 min.
  3. Forward.
  4. He did not move for 6 hours.
  5. He had the fastest speed from 2 pm to 5:30 pm.
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Question 23 Marks
The following distance-time graph is for a car travelling to certain places.
Study the above graph carefully and answer the questions given below:
  1. How far does the car travel in $4\frac{1}{2}$ hours?
  2. How much time does the car take to reach R?
  3. How long does the car take to cover 80km?
  4. How far is Q from the starting point?
  5. When does the car reach the place S after starting?
Answer
  1. The car travels 180km in $4\frac{1}{2}$ hours.
  2. The car takes 5 hours to reach R.
  3. The car takes 2 hours to cover 180km.
  4. Q is 120km far from the starting point.
  5. The car reach the place S after 6 hours.
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Question 33 Marks
A courier-person cycles from a town to a neighbouring suburban area to deliver a parcel to a merchant. His distances from the town at different times are shown by the given graph.

Study the above graph carefully and answer the questions given below:
  1. What is the scale taken for the time-axis?
  2. How much time did the person take for the travel?
  3. How far is the place of the merchant from the town?
  4. Did the person stop on his way? Explain.
  5. During which period did the ride fastest?
Answer
  1. The scale taken at time-axis is 1 unit = 15 minutes.
  2. The person travels for 3 hours 30 minutes.
  3. The place of merchant is 22km from the town.
  4. Yes, the person stopped from 10 am to 11 am as indicated by the horizonatal line in the graph.
  5. He ride fastest during 8 am to 9 am.
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Question 43 Marks
The following is the distance-time graph of amit's walking.

Study the above graph carefully and answer the questions given below:
  1. When does Amit make the least progress? Explain your answer.
  2. Find his average speed in km/ hr.
Answer
  1. Amit make least progress from 25 min to 40 min, as indicated by the line in the graph.
  2. Total distance covered = 2km,
Total time = 55 min $=\frac{55}{60}\text{hr}.$

$\text{ Average speed}=\frac{\text{Total distance covered}}{\text{Total time}}$

$=\frac{2}{55}\times60=2.18\text{km/ hr.}$
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Question 53 Marks
The line graph given below shows the yearly sales figures for a manufacturing company during the last five years.

Study the above graph carefully and answer the questions given below:
  1. What were the sales in.
  1. 2013
  2. 2015
  3. 2016
  1. Compute the difference between the sales in 2012 and 2016?
  2. In which year was there the greatest difference between the sales as compared to its previous year?
Answer
  1. The sales in-
  1. 2013 was Rs. 7 Cr.
  2. 2015 was Rs. 10 Cr.
  3. 2016 was Rs. 8 Cr.
  1. The difference between the sales in 2012 and 2016 is Rs. 4Cr.
  2. The greatest difference was in 2015
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