CBSE - X
CBSE X (All India)
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. |
Question 11
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.
Question 12
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.
Question 13
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.
Question 14
14. Prove
that 
Question 15
15. Construct a
triangle ABC in which BC = 7 cm, 
and median AD = 5 cm. Write the steps of
construction also.
Question 16
16. Find the
co-ordinates of the point equidistant from these points 
Question 17
17. Find the value
of p for which the points 
are collinear.
Question 18
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 |
Question 19
19.The following table shows the monthly expenditure of a company. Draw a pie-chart for the data.
Item |
Amount (in Rs.) |
Wages |
4800 |
Question 20
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 |