ICSE Guess Paper Mathematics Class – 10th (2011) Set-3

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ICSE Guess Paper

Subject – Mathematics

Class - 10th

1. The marks of 200 students in a test were recorded as follows:

Marks % 10-19 20-29 30-39 40-49 50-59 60-69 70-79 80-89
No. of students 7 11 20 46 57 37 15 7

Draw the Ogive and use it to find –

      (i) the median and

      (ii)the number of students who score more than 35% marks.

2. Calculate the mean mark using step deviation method for the following data:

Mark 0-9 10-19 20-29 30-39 40-49 50-59
Frequency 4 6 12 6 7 5

      Also state (i) the median class, (ii) the modal class.

3. The daily wages of 160 workers in a building project are given below:

Wages in 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80
No. of workers 12 20 30 38 24 16 12 8

Using a graph paper, draw an ogive for the above distribution.

Use your ogive to estimate:

      (i) the median wage of the workers.

      (ii) the upper quartile wage of the workers.

      (iii) The lower quartile wage of the workers.

      (iv) The percentage of workers who earn more than 45 a day.

4. Mr. A. Ramchander has an account with Central Bank of India. The following entries are from his pass book:

Date Particulars Withdrawal Deposits Balance
01/01/2011 B/F     8000
05/01/2011 To self 2500    
10/02/2011 By cash   9000  
20/02/2011 By cash   3000  
04/03/2011 To self 1000    
15/04/2011 By cash   12000  

Complete the above page of his passbook and calculate the interest accumulated in four months, January to April at the rate of 3.5% per annum. If the interest is added on 30th April, find his balance on that date.                                        4

5. The following table shows the distribution of the heights of a group of students:

Height(cm) 140-145 145-150 150-155 155-160 160-165 165-170 170-175
No of students 8 12 18 22 26 10 4

Use a graph sheet to draw an Ogive for the distribution.

Use the Ogive to find:

      (i) the inter quartile range

      (ii) the number of students whose height is more than 168 cm

      (iii) the number of students whose height is less than 148 cm.

6. Draw a cumulative frequency curve for the following data :

Marks obtained 0-10 10-20 20-30 30-40 40-50
No. of students 8 10 22 40 20

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