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1. ANURAG TYAGI CLASSES, VASUNDHARA,GHAZIABAD
Guess Paper – 2010
Class – IX (SECOND TERM) BY ANURAG SIR…
Subject – Maths CCE PATTERN
Section - A (1 mark each)
1 1
1. Simplify
7 2 × 82
2. The following observations have been arranged in ascending order. If the median of the data is 63, find the
value of x.
29, 32, 48, 50, x, x+2, 72, 78, 84, 95
3. Factorise: 30x2 + 7x – 15.
4. Find the mode of 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18.
Section - B (2 marks each)
5.The sides of a triangular plot are in the ratio of 3: 5: 7 and its perimeter is 300m. Find its area
6.Factorize: 5x2+16x+3
7.The cost of the notebook is twice then the cost of a pen. Write a linear equation in
two variable to represent this statement
8. Factorise :
1 9 1
(a) 27 p 3 − − p2 + p (b) 4x2 + 9y2 + 16z2 + 12xy – 24yz – 16xz
216 2 4
9.Find the value of k if ( x3 + 6x2 + 4x + k ) is exactly divisible by (x + 2)
10. If ax2 +bx +x-6 has x+2 as a factor and leaves a remainder 4 when divided by x-2 ,find the values of
a and b.
11. The taxi fare in a city is as follows:
For the first kilometre the fare is Rs 8 and for the subsequent distance.it is Rs 5 per km.Taking the distance covered as
x km and total fare as Rs y,write a linear equation for this information and draw its graph.
Section - C (3 marks each)
12. The value of π up to 50 decimal places is given below:
3.14159265358979323846264338327950288419716939937510
a. Make a frequency distribution of the digits from 0 to 9 after the decimal point
b. What are the most and the least frequently occurring digits?
13. Find the value of ‘a’ if the mean of the following is 15
x 5 10 15 20 25
f 6 a 6 10 5
Section - D (6 marks)
14. The following table gives the life times of 400 neon lamps.
Life time( in hours) 300-400 400-500 500-600 600-700 700-800 800-900 900-1000
Number of lamps 14 56 60 86 74 62 48
a) Represent the given information with the help of a histogram.
b) How many lamps have a lifetime of more than 700 hours.
15. An insurance company selected 2000 drivers at random in a particular city to find a relationship between age
and accidents. The data obtained are given in the following table. Find the probabilities of the following
events for a driver chosen at random from the city: (i) being 18 – 29 years of age and having exactly 3
accidents in one year. (ii) being 30 – 50 years of age and having one or more accidents in a year. (iii) having
no accidents in one year.
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2. ANURAG TYAGI CLASSES, VASUNDHARA,GHAZIABAD
Age of drivers Accidents in one year
0 1 2 3 Over 3
18- 29 440 160 110 61 35
30 – 50 505 125 60 22 18
Above 50 360 45 35 15 9
16.The class marks of a distribution are:
105,115,125,135,145,155,165,175.
Find the class size and class limits
17. A random survey of the number of children of various age groups playing in a park are found as
follows :
Age in years No.of children
1-2 5
2-3 3
3-5 6
5-7 12
7-10 9
10-15 10
15-17 4
Draw a histogram to represent the above data.
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