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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, .......
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.
Concept: undefined >> undefined
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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 |
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 |
Concept: undefined >> undefined
The diameter of a circle is 28 cm.
Find its :
(i) Circumference
(ii) Area.
Concept: undefined >> undefined
A metal wire, when bent in the form of an equilateral triangle of largest area, encloses an area of 484 `sqrt3` cm2. If the same wire is bent into the form of a circle of largest area, find the area of this circle.
Concept: undefined >> undefined
The circumference of a circular field is 308 m. Find is:
(i) Radius
(ii) Area.
Concept: undefined >> undefined
The sum of the circumference and diameter of a circle is 116 cm. Find its radius.
Concept: undefined >> undefined
The radii of two circles are 25 cm and 18 cm. Find the radius of the circle which has a circumference equal to the sum of circumferences of these two circles.
Concept: undefined >> undefined
The cost of fencing a circular field at the rate of ₹ 240 per meter is ₹ 52,800. The field is to be ploughed at the rate of ₹ 12.50 per m2. Find the cost of pouching the field.
Concept: undefined >> undefined
The radii of two circles are 48 cm and 13 cm. Find the area of the circle which has its circumference equal to the difference of the circumferences of the given two circles.
Concept: undefined >> undefined
In the given figure, the area of the shaded portion is 770 cm2. If the circumference of the outer circle is 132 cm, find the width of the shaded portion.
Concept: undefined >> undefined
The radius of a circle is 5 m. Find the circumference of the circle whose area is 49 times the area of the given circle.
Concept: undefined >> undefined
The shaded portion of the figure, given alongside, shows two concentric circles. If the circumference of the two circles is 396 cm and 374 cm, find the area of the shaded portion.
Concept: undefined >> undefined
An express train is running between two stations with a uniform speed. If the diameter of each wheel of the train is 42 cm and each wheel makes 1200 revolutions per minute, find the speed of the train.
Concept: undefined >> undefined
Each wheel of a car is of diameter 80 cm. How many completer revolutions does each wheel make in 10 minutes when the car is traveling at a speed of 66 km per hour?
Concept: undefined >> undefined
A wheel has a diameter of 84 cm. Find how many completer revolutions must it make to cover 3.168 km.
Concept: undefined >> undefined
There are two circular gardens A and B. The circumference of garden A is 1.760 km and the area of garden B is 25 times the area of garden A. Find the circumference of garden B.
Concept: undefined >> undefined
The circumference of a given circular park is 55 m. It is surrounded by a path of uniform width of 3.5 m. Find the area of the path.
Concept: undefined >> undefined
The diameters of the front and the rear wheels of a tractor are 63 cm and 1.54 m respectively. The rear wheel is rotating at `24 6/11` revolutions per minute. Find:
(i) the revolutions per minute made by the front wheel.
(ii) the distance traveled bu the tractor in 40 minutes.
Concept: undefined >> undefined
