List of top Mathematics Questions on Introduction to Graphs

Can there be a time temperature graph as follows? Justify you're answer:

A courier-person cycles from a town to a neighboring suburban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the following graph.

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 he ride fastest?

Use the tables below to draw linear graphs. 
(a) The number of days a hill side city received snow in different years.

Year	2003	2004	2005	2006
Days	8	10	5	12

 (b) Population (in thousands) of men and women in a village in different years.

Year	2003	2004	2005	2006	2007
Number of men	12	12.5	13	13.2	13.5
Number of women	11.3	11.9	13	13.6	12.8

The following graph shows the temperature forecast and the actual temperature for each day of a week. 

1. On which days was the forecast temperature the same as the actual temperature?
2. What was the maximum forecast temperature during the week?
3. What was the minimum actual temperature during the week?
4. On which day did the actual temperature differ the most from the forecast temperature?

For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the following graph. 

1. How high was Plant A after (i) 2 weeks (ii) 3weeks? 
2.  How high was Plant B after (i) 2 weeks (ii) 3weeks? 
3.  How much did Plant A grow during the 3rd week? 
4.  How much did Plant B grow from the end of the 2nd week to the end of the 3rd week? 
5.  During which week did Plant A grow most? 
6.  During which week did Plant B grow least? 
7.  Were the two plants of the same height during any week shown here? Specify.

The following line graph shows the yearly sales figure for a manufacturing company. 

1. What were the sales in (i) 2002 (ii) 2006?
2. What were the sales in (i) 2003 (ii) 2005?
3. Compute the difference between the sales in 2002 and 2006.
4. In which year was there the greatest difference between the sales as compared to its previous year?

The following graph shows the temperature of a patient in a hospital, recorded every hour.

1. What was the patient's temperature at \(1\) p.m.? 
2.  When was the patient's temperature \(38.5\)° C? 
3.  The patient's temperature was the same two times during the period given. What were these two times? 
4.  What was the temperature at \(1.30\) p.m? How did you arrive at your answer? 
5.  During which periods did the patient's temperature show an upward trend?