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CBSE X (All India)
MATHEMATICS PAPER 2007.

Time allowed: 3 hours; Maximum Marks: 80

 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 contains 7 questions of 2 marks each, Section B is of 12 questions of 3 marks each and Section C is of 6 questions of 5 marks each. 3) There is no overall choice. However, an internal choice has been provided in two questions of two marks each, two questions of three marks each and two questions of five marks each. 4) In question on construction, the drawing should be neat and exactly as per the given measurements. 5) Use of calculators is not permitted. However, you may ask for Mathematical tables.
SECTION A

### Question 1

Find the LCM of  and .

### Question 2

2.Solve for x and y:

;

### Question 3

3.In an A.P., the sum of its first n terms is n2+2n.  Find its 18th term.

### Question 4

4.In Figure 1, two circles touch each other externally at C.  Prove that the common tangent at C bisects the other two common tangents.

Fig.1

### Question 5

5.Find the mean of the following distribution:

 Class Frequency 0-10 8 10-20 12 20-30 10 30-40 11 40-50 9

### Question 6

6. A ceiling fan is marked at Rs. 970 cash or for Rs. 210 as cash down payment followed by three equal monthly instalments of Rs. 260. Find the rate of interest charged under the instalment plan.

### Question 7

7.A box contains 5 red balls,  4 green balls and 7 white balls.  A ball is drawn at random from the box.  Find the probability that the ball drawn is

(a)      white.

(b)     neither red nor white.

 Section A Section B Section C