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MATHEMATICS PAPER 2006.
Time allowed: 3 hours; Maximum Marks: 100
| General Instructions: | |
| 1) | All questions are compulsory. |
| 2) | The question paper consists of 25 questions divided into three sections A, B and C Section A contain 10 (1- 10) questions of 3 marks each. Section B contains 10 questions 10 (11-20) questions of 4 marks each. Section C contains 5 (21-25) questions of 6 marks each. |
| 3) | There is no overall choice. However, an internal choice has been provided in each section. |
| 4) | In question on construction, the drawing should be neat and exactly as per the given measurements. |
| 5) | Use of calculator is not permitted. However, you may ask for Mathematical tables. |
| 6) | Please give the explanation for the answer where applicable. |
11. Draw the graphs of the equations 
Also determine the co-ordinates of the
vertices of the triangle formed by these lines and the X-axis.
12. The speed of a boat in still water is 11 km/hr. It can go 12 km upstream and return downstream to the original point in 2 hours 45 minutes. Find the speed of the stream.
13. A solid is in the form of a right circular cylinder with hemispherical ends. The total height of the solid is 58 cm and the diameter of the cylinder is 28 cm. Find the total surface area of the sold.
14. Prove
that 
15. Construct a
triangle ABC in which BC = 7 cm, 
and median AD = 5 cm. Write the steps of
construction also.
16. Find the
co-ordinates of the point equidistant from these points 
17. Find the value
of p for which the points 
are collinear.
18. The Arithmetic Mean of the following frequency distribution is 47. Determine the value of p.
Classes |
0-20 |
20-40 |
40-60 |
60-80 |
80-100 |
Frequency |
8 |
15 |
20 |
p |
5 |
19.The following table shows the monthly expenditure of a company. Draw a pie-chart for the data.
Item |
Amount (in Rs.) |
Wages |
4800 |
20. A card is drawn at random from a well shuffled deck of playing cards. Find the probability that the card drawn is
(a) a card of spades or an ace
(b) a red king
(c) neither a king nor a queen
(d) either a king or queen
| Section A | Section B | Section C |
