# Question 1

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

**a. What was the patientâ€™s temperature at 1 p.m?
**

**b. When was the patientâ€™s temperature 38.5Â° c?
**

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

**e. During which periods did the patientâ€™s temperature showed an upward trend?**

**Solution:**

a. 36.5Â° C.

b. 12 noon.

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

d. 36.5Â° 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 36.5Â° 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.**

**Solution:**

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 3 ^{rd} week?**

**d. How much did plant B grow from the end of the 2 ^{nd} week to the end of 3^{rd} 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.**

**Solution:**

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

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

c. 2 cm

d. 3 cm

e. 2^{nd} week

f. 1^{st} week

g. At the end of 2^{nd} week

# Question 4

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

**a. On which days was the forecast temperature the same as the actual temperature?**

**b. What was the maximum forecast temperature during the week?**

**c. What was the minimum actual temperature during the week?**

**d. On which day did the actual temperature different the most from the forecast temperature?**

**Solution:**

a. Tuesday, Friday, Sunday

b. 35Â° C

c. 15Â° C

d. Thursday

# Question 5

**Use the tables to draw linear graphs.**

**A) The number of days a hill side received show in different years**

**B) Population 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 |

**Solution:**

A)

B)

# 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?**

**Solution:**

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.**

**Solution:**

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. |

Â

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)**

**Solution:**

a.

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

b.

These lie on a line which passes through the origin.

c.

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.

**Solution:**

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 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)**

**Solution:**

(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.**

**(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?**

**Solution:**

(A)

(B)

(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.

(C)

(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.