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

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

Ages No. of students
Below 4 0
Below 7 85
Below 10 140
Below 13 243
Below 16 300

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

[18] Statistics
Chapter: [18] Statistics
Concept: undefined >> undefined

Construct a frequency table from the following data:

Marks No. of students
less than 10 6
less than 20 15
less than 30 30
less than 40 39
less than 50 53
less than 60 70
[18] Statistics
Chapter: [18] Statistics
Concept: undefined >> undefined

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

Class Interval Cumulative Frequency
10 - 19 8
20 - 29 19
30- 39 23
40- 49 30
[18] Statistics
Chapter: [18] Statistics
Concept: undefined >> undefined

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

Class Interval Frequency
0 - 8  9
8 - 16  13
16 - 24  12
24 - 32  7
32 - 40  15

( ii )

Class Interval  Frequency 
1 - 10  12
11 - 20 18
21 - 30 23
31 - 40 15
41 - 50 10
[18] Statistics
Chapter: [18] Statistics
Concept: undefined >> undefined

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

Class Interval Frequency
0 -8 9
8 - 16 13
16 - 24 12
24 - 32 7
32 - 40  15
[18] Statistics
Chapter: [18] Statistics
Concept: undefined >> undefined

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

45 48 15 23 30 35 40 11
29 0 3 12 48 50 18 30
15 30 11 42 23 2 3 44

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

[18] Statistics
Chapter: [18] Statistics
Concept: undefined >> undefined

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

08

17

33

41

47

23

20

34

09

18

42

14

30

19

29

11

36

48

40

24

22

02

16

21

15

32

47

44

33

01

   

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

[18] Statistics
Chapter: [18] Statistics
Concept: undefined >> undefined

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

Class Interval Frequency
1 - 10 12
11 - 20 18
21 - 30 23
31 - 40 15
41 - 50 10
[18] Statistics
Chapter: [18] Statistics
Concept: undefined >> undefined

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

C.I C.F
5 - 10  18
10 - 15 30
15 - 20 46
20 - 25 73
25 - 30  90
[18] Statistics
Chapter: [18] Statistics
Concept: undefined >> undefined

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.

[21] Solids [Surface Area and Volume of 3-d Solids]
Chapter: [21] Solids [Surface Area and Volume of 3-d Solids]
Concept: undefined >> undefined

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.

[21] Solids [Surface Area and Volume of 3-d Solids]
Chapter: [21] Solids [Surface Area and Volume of 3-d Solids]
Concept: undefined >> undefined

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. 

[21] Solids [Surface Area and Volume of 3-d Solids]
Chapter: [21] Solids [Surface Area and Volume of 3-d Solids]
Concept: undefined >> undefined

Evaluate: `(sec 75°)/("cosec" 15°)`

[25] Complementary Angles
Chapter: [25] Complementary Angles
Concept: undefined >> undefined

Evaluate: sec2 18° - cosec2 72°

[25] Complementary Angles
Chapter: [25] Complementary Angles
Concept: undefined >> undefined

Evaluate: cosec (65° + A) - sec (25° - A)

[25] Complementary Angles
Chapter: [25] Complementary Angles
Concept: undefined >> undefined

Find the amount and the compound interest payable annually on:
Rs.16000 for 2 years at 15% and 12% for the successive years.

[3] Compound Interest [Using Formula]
Chapter: [3] Compound Interest [Using Formula]
Concept: undefined >> undefined

Find the amount and compound interest on Rs.7500 for 1`(1)/(2)` years at 8%, payable semi-annually.

[3] Compound Interest [Using Formula]
Chapter: [3] Compound Interest [Using Formula]
Concept: undefined >> undefined

Sunil borrows Rs.50,000 at 10% S.I. for 1`(1)/(2)` years. He immediately invests the entire amount for 1`(1)/(2)` years at 10% compounded annually. What is his gain at the end of the stipulated time, when he repays his loan?

[3] Compound Interest [Using Formula]
Chapter: [3] Compound Interest [Using Formula]
Concept: undefined >> undefined

Samidha borrowed Rs.7500 from Shreya at 30% per annum compounded interest. After 2 years, Samidha gave Rs.10000 and a juicer to Shreya to clear the debt. Find the cost of the juicer.

[3] Compound Interest [Using Formula]
Chapter: [3] Compound Interest [Using Formula]
Concept: undefined >> undefined

Find the amount and the compound interest on the following:
Rs.8000 for 3years at 10% per annum compounded annually.

[3] Compound Interest [Using Formula]
Chapter: [3] Compound Interest [Using Formula]
Concept: undefined >> undefined
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