1

Plot the points (5,0), (5,1), (5,8). Do thy lie on a line? What is your observation?

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2

Plot the points (2,8), (7,8) and (12,8). Join these points in pairs. Do they lie on a line? What do you observe?

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3

Locate the points :

(i) (1,1), (1,2), (1,3), (1,4)

(ii) (2,1), (2,2), (2,3), (2,4)

(iii) (1,3), (2,3), (3,3), (4,3)

(iv) (1,4), (2,4), (3,4), (4,4,)

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4

Find the coordinates of points *A, B, C, D* in Fig. 27.7

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5

Find the coordinates of points *P, Q, R* and *S* in Fig. 27.8.

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6

Write the coordinates of each of the vertices of each polygon in Fig. 27.9.

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7

Decide which of the following statements is true and which is false. Give reasons for your answer.

(i) A point whose *x*-coordinate is zero, will lie on the *y*-axis.

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

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

(iv) Points whose *x* and *y* coordinates are equal, lie on a line passing through the origin.

1

The following table shows the number of patients discharged from a hospital with HIV diagnosis in different years:

Years: | 2002 | 2003 | 2004 | 2005 | 2006 |

Number of patients: | 150 | 170 | 195 | 225 | 230 |

Represent this information by a graph.

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2

The following table shows the amount of rice grown by a farmer in different years:

Years: | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 |

Rice grown (in quintals): | 200 | 180 | 240 | 260 | 250 | 200 | 270 |

Plot a graph to illustrate this information.

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3

The following table gives the information regarding the number of persons employed to a piece of work and time taken to complete the work:

Number of persons: | 2 | 4 | 6 | 8 |

Time taken (in days): | 12 | 6 | 4 | 3 |

Plot a graph of this information.

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4

The following table gives the information regarding length of a side of a square and its area

Length of a side (in cm) | 1 | 2 | 3 | 4 | 5 |

Area of square (in cm | 1 | 4 | 9 | 16 | 25 |

Draw a graph to illustrate this information.

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5

The following table shows the sales of a commodity during the years 2000 to 2006.

Years | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 |

Sales (in lakhs of Rs.) | 1.5 | 1.8 | 2.4 | 3.2 | 5.4 | 7.8 | 8.6 |

Draw a graph of this information.

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6

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Draw the temperature-time graph in each of the following cases:

(i)

Time (in hours) | 7:00 | 9:00 | 11:00 | 13:00 | 15:00 | 17.00 | 19:00 | 21:00 |

Temperature (°F) in | 100 | 101 | 104 | 102 | 100 | 99 | 100 | 98 |

(ii)

Time (in hours) | 8:00 | 10:00 | 12:00 | 14:00 | 16:00 | 18:00 | 20:00 |

Temperature (°F) in | 100 | 101 | 104 | 103 | 99 | 98 | 100 |

7

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Draw the velocity-time graph from the following data :

Time (in hours) | 7:00 | 8:00 | 9:00 | 10:00 | 11:00 | 12.00 | 13:00 | 14:00 |

Speed (in km/hr) | 30 | 45 | 60 | 50 | 70 | 50 | 40 | 45 |

8

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The runs scored by a cricket team in first 15 overs are given below :

Overs : | I | II | III | IV | V | VI | VII | VIII | IX | X | XI | XII | XIII | XIV | XV |

Runs : | 2 | 1 | 4 | 2 | 6 | 8 | 10 | 21 | 5 | 8 | 3 | 2 | 6 | 8 | 12 |

9

The runs scored by two teams A and B in first 10 overs are given below :

Overs | I | II | III | IV | V | VI | VII | VIII | IX | X |

Team A : | 2 | 1 | 8 | 9 | 4 | 5 | 6 | 10 | 6 | 2 |

Team B : | 5 | 6 | 2 | 10 | 5 | 6 | 3 | 4 | 8 | 10 |

Draw a graph depicting the data, making the graphs on the same axes in each case in two different ways as a graph and as a bar chart.

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