(English Medium) ICSE Class 9 - CISCE Question Bank Solutions

Construct a rhombus ABCD, when:
Diagonal AC = 6.3 cm and diagonal BD = 5.8 cm.

Construct a rhombus ABCD, when:
One side = 5.0 cm and height = 2.6 cm.

Construct a rhombus ABCD, when: Diagonal AC = 6.0 cm and height = 3.5 cm.

Construct a rhombus ABCD, when: A = 60° and height = 3.0 cm.

The value of π up to 50 decimal place is
3.14159265358979323846264338327950288419716939937510
(i) Make a frequency distribution table of digits from 0 to 9 after the decimal place.
(ii) Which are the most and least occurring digits?

Fill in the blank in the following table:

Given below are the marks obtained by 30 students in an examination:

Taking class intervals 1-10, 11-20, ....., 41-50; make a frequency table for the above distribution.

Construct the frequency distribution table from the following cumulative frequency table:

(i) State the number of students in the age group 10 - 13.
(ii) State the age-group which has the least number of students.

Construct a frequency table from the following data:

Construct a frequency distribution table from the following cumulative frequency distribution:

Construct a cumulative frequency distribution table from the frequency table given below:
( i )

( ii )

Construct a cumulative frequency distribution table from the frequency table given below:

The marks of 24 candidates in the subject mathematics are given below:

The maximum marks are 50. Make a frequency distribution taking class intervals 0 - 10, 10-20, .......

Given below are the marks obtained by 30 students in an examination:

Taking class intervals 1 - 10, 11 - 20, ....., 41 - 50; make a frequency table for the above distribution.

Construct a cumulative frequency distribution table from the frequency table given below:

Construct a frequency distribution table from the following cumulative frequency distribution:

A tank 20 m long, 12 m wide and 8 m deep is to be made of iron sheet. If it is open at the top. Determine the cost of iron-sheet, at the rate of Rs. 12.50 per meter, if the sheet is 2.5 m wide.

The area of a playground is 3650 m². Find the cost of covering it with gravel 1.2 cm deep, if the gravel costs Rs. 6.40 per cubic metre.

The cost of papering the four walls of a room at 75 paise per square meter Rs. 240. The height of the room is 5 meters. Find the length and the breadth of the room, if they are in the ratio 5 : 3. 

Evaluate: `(sec 75°)/("cosec" 15°)`