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Question 1

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

a. What was the patient’s temperature at 1 p.m?

b. When was the patient’s temperature 38.5° c?

c. The patient’s temperature was the same two times during the period given what were these two times?

d. What was the temperature at 1.30 p.m.? How did you arrive at your answer?

e. During which periods did the patient’s temperature showed an upward trend?

a. 36.5° C.

b. 12 noon.

c. 1 p.m. and 2 p.m.

d. 36.5° C. 1.30 p.m. is the point between 1 p.m. and 2 p.m. which is at equidistant from these two points which is represented on the x-axis. The corresponding point on y-axis is 36.5° C.

e. 9 a.m. to 10 a.m., 10 a.m. to 11 a.m. and 2 p.m. to 3 p.m.

Question 2

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

a. What were the sales in (i) 2002 (ii) 2006?

b. What were the sales in (i) 2003 (ii) 2005?

c. Compute the difference between the sales in 2002 and 2006.

d. In which year was there the greatest difference between the sales as compared to its previous year?

a. (i) Rs. 4 crores (ii) Rs. 8 crores

b. (i) Rs. 7 crores (ii) Rs. 10 crores

c. Rs. 4 crores

d. 2005

Question 3

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 3weeks. The results are shown by the following graph.

a. How high was plant A after (i) 2 weeks (ii) 3 weeks

b. How high was plant B after (i) 2 weeks (ii) 3 weeks

c. How much did plant A grow during the 3rd week?

d. How much did plant B grow from the end of the 2nd week to the end of 3rd week?

e. Which week did plant A grow most?

f. During which week did plant B grow least?

g. Were the two plants of the same height during any week shown here? Specify.

a. (i) 7 cm (ii) 9 cm.

b. (i) 7 cm (ii) 10 cm

c. 2 cm

d. 3 cm

e. 2nd week

f. 1st week

g. At the end of 2nd week

Question 6

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

a. What is scale taken for the time axis?

b. How much time did the person take for the travel?

c. How far is the place of the merchant from the town?

d. Did the person stop on his way? Explain.

e. During which period did he ride fastest?

a. 4 units = 1 hr.

b. 3.30 hrs.

c. 22 km

d. Yes. Horizontal part shows that the person stop his way 10-10.30 a.m.

e. Between 8 a.m. To 9 a.m.

Question 7

Can there be a time-temperature graph as follows. Justify your answer.

Equal interval of time, the temperature increases

Equal interval of time Temperature decreases

It is not possible. At a constant time, the temperature should not be increased.

Equal interval of time, temperature increases.

Question 8

Plot the following points on a graph sheet. Verify if they lie on a line.

a. A(4, 0), B(4, 2), C(4, 6) D(4, 2.5)

b. P(1, 1), Q(2, 2), R(3, 3), S(4, 4)

c. K(2, 3), L(5, 3), M(5, 5), N(2, 5)


These lie on a line. It is parallel to y-axis.


These lie on a line which passes through the origin.


These points do not lie on a line

Question 9

Draw the line passing through (2, 3) and (3, 2). Find the coordinates of the points at which this line meets the x-axis and y-axis.



From the graph,it can be observed that the line joining the points (2,3) and (3,2) meets the X-axis at the points(5,0) and the y-axis at the point(0,5).

Question 10

Write the coordinates of the vertices of each of these adjoining figure.

A(2, 0), B(2, 3), C(0, 3), P(4, 3), Q(6, 1), R(6, 5), S(4, 7), K(10,5), L(7, 7), M(10, 8)

Question 11

State whether True or False. Correct that are false.

(i) A point whose x-coordinate is zero and y-coordinate is non-zero will lie on the y-axis

(ii) A point whose y-coordinate is zero and x-coordinate is 5 will lie on y-axis.

(iii) The coordinates of the origin are (0, 0)

(i) True

(ii) False. Since y coordinate is zero, x coordinate is 5 will lie on x-axis.

(ii) True.

Question 12

(A) Draw the graph for the following tables of values, with suitable scales on the axes.

cost of apples.

(B) Distance travelled by a car.

(i) How much distance did the car cover during the period 7.30 a.m. to 8 am?

(ii) What was the time when the car had covered a distance of 100 km since its' start?

(C) Interest on deposits for a year

(i) Does the graph pass through the origin?

(ii) Use the graph to find the interest on Rs. 2500 for a year.

(iii) To get on interest of Rs. 280 per year, how much money should be deposited?



(i) The cover 20 kms during the period 7.30 am to 8 a.m.

(ii) At 7.30 a.m the car had covered a distance of 100 kms.


(i) Yes, the graph pass through the origin.

(ii) Interest on Rs. 2500 is Rs. 200 for a year.

(iii) Rs. 3500 to be deposited, to get an interest of Rs. 280 per year.

Question 13

Draw a graph for the following


(i) It is a linear graph?

(ii) Is it a linear graph.



Yes it is a linear graph


It is not a linear graph

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