A
factory manufactures 120000 pencils daily. The pencils are cylindrical in shape
each of length 25 cm and circumference of base as 1.5 cm. Determine the cost of
colouring the curved surfaces of the pencils manufactured in one day at Rs 0.05
per dm2.
Monday, August 19, 2013
MENSURATION
A
heap of rice is in the form of a cone of diameter 9 m and height 3.5 m. Find
the volume of the rice. How much canvas cloth is required to just cover the
heap?
MENSURATION
Water
flows at the rate of 10m/minute through a cylindrical pipe 5 mm in diameter.
How long would it take to fill a conical vessel whose diameter at the base is
40 cm and depth 24 cm?
MENSURATION
The
barrel of a fountain pen, cylindrical in shape, is 7 cm long and 5 mm in
diameter. A full barrel of ink in the pen is used up on writing 3300 words on
an average. How many words can be written in a bottle of ink containing one
fifth of a litre?
MENSURATION
How
many cubic centimetres of iron is required to construct an open box whose
external dimensions are 36 cm, 25 cm and 16.5 cm provided the thickness of the
iron is 1.5 cm. If one cubic cm of iron weighs 7.5 g, find the weight of the
box.
MENSURATION
A
rectangular water tank of base 11 m × 6 m contains water upto a height of 5 m.
If the water in the tank is transferred to a cylindrical tank of radius 3.5 m,
find the height of the water level in the tank.
Mensuration
A
solid metallic hemisphere of radius 8 cm is melted and recasted into a right
circular cone of base radius 6 cm. Determine the height of the cone. ... NCERT
Sunday, August 18, 2013
Saturday, August 17, 2013
mensuration
Two
cones with same base radius 8 cm and height 15 cm are joined together along
their bases. Find the surface area of the shape so formed.
mensuration
Two
solid cones A and B are placed in a cylindrical tube as shown in the Fig. The
ratio of their capacities is 2:1. Find the heights and capacities of cones.
Also,
find the volume of the remaining portion of the cylinder.
mensuration
From
a solid cube of side 7 cm, a conical cavity of height 7 cm and radius 3 cm is
hollowed out. Find the volume of the remaining solid.
mensuration
Two
identical cubes each of volume 64 cm3 are joined together end to
end. What is the surface area of the resulting cuboid?
mensuration
A
cone of radius 8 cm and height 12 cm is divided into two parts by a plane
through the mid-point of its axis parallel to its base. Find the ratio of the
volumes of two parts.
Mensuration
A
bucket is in the form of a frustum of a cone and holds 28.490 litres of water.
The radii of the top and bottom are 28 cm and 21 cm, respectively. Find the
height of the bucket.
mensuration
How many shots each having diameter 3 cm can be made from a cuboidal lead solid of dimensions 9cm × 11cm × 12cm?
mensuration
Three
metallic solid cubes whose edges are 3 cm, 4 cm and 5 cm are melted and formed
into a single cube. Find the edge of the cube so formed.
Friday, August 16, 2013
mensuration
A medicine-capsule is in the
shape of a cylinder of diameter 0.5 cm with two hemispheres stuck to each of
its ends. The length of entire capsule is 2 cm. The capacity of the capsule is
(A)
0.36 cm3 (B) 0.35 cm3 (C) 0.34 cm3 (D) 0.33 cm3
mensuration
A
metallic spherical shell of internal and external diameters 4 cm and 8 cm,
respectively is melted and recast into the form a cone of base diameter 8cm.
The height of the cone is
(A)
12cm (B) 14cm (C) 15cm (D)
18cm
Thursday, August 15, 2013
mensuration
A
cone of radius 4 cm is divided into two parts by drawing a plane through the
midpoint of its axis and parallel to its base. Compare the volumes of the two
parts.
mensuration
A
canal is 300 cm wide and 120 cm deep. The water in the canal is flowing with a
speed of 20 km/h. How much area will it irrigate in 20 minutes if 8 cm of
standing water is desired?
Mensuration
A
solid metallic sphere of radius 10.5 cm is melted and recast into a number of
smaller cones, each of radius 3.5 cm and height 3 cm. Find the number of cones
so formed.
CBSE Guess paper 2014
CBSE Mathematics Test Paper
Class
X Maximum Marks: 80
Time: 3 Hours
General
Instructions
All questions are compulsory.
The question paper consists
of 30 questions divided into four sections A, B, C, and D. Section A contains
10 questions of 1 mark each, Section B contains 5 questions of 2 marks each,
Section C contains 10 questions of 3 marks each and Section D contains 5
questions of 6 marks each.
There is no overall choice.
However, an internal choice has been provided in one question of 2 marks, three
questions of 3 marks and two questions of 6 marks each.
In questions on construction,
the drawing should be neat and exactly as per given measurements.
Use of calculators is not allowed.
CBSE GUESS PAPER STD 10
CBSE Mathematics Examination
Class
X Maximum Marks: 80
Time: 3 Hours
General
Instructions
All questions are compulsory.
The question paper consists
of 30 questions divided into four sections A, B, C, and D. Section A contains
10 questions of 1 mark each, Section B contains 5 questions of 2 marks each,
Section C contains 10 questions of 3 marks each and Section D contains 5
questions of 6 marks each.
There is no overall choice.
However, an internal choice has been provided in one question of 2 marks, three
questions of 3 marks and two questions of 6 marks each.
In questions on construction,
the drawing should be neat and exactly as per given measurements.
Use of calculators is not
allowed.
Wednesday, August 14, 2013
23-coordinate geometry
If the points A (1, –2), B (2, 3) C (a,
2) and D (– 4, –3) form a parallelogram, find the value of a and height
of the parallelogram taking AB as base.
22-coordinate geometry
If (-4, 3) and (4, 3) are two vertices
of an equilateral triangle, find the coordinates of the third vertex, given
that the origin lies in the interior of the triangle.
21-coordinate geometry
The mid-points D, E, F of the sides of
a triangle ABC are (3, 4),
(8, 9) and (6, 7). Find the coordinates of the
vertices of the triangle.
Tuesday, August 13, 2013
20-coordinate geometry
Find the ratio in which the line 2x
+ 3y – 5 = 0 divides the line segment joining the points (8, –9) and
(2, 1). Also find the coordinates of the point of division.
19-coordinate geometry
Find the values of k if the
points A (k + 1, 2k), B (3k, 2k + 3) and
C (5k –
1, 5k) are collinear.
18 coordinate geometry
If (a, b) is the mid-point of the line segment joining the points
A
(10, –6) and B (k, 4) and a – 2b = 18, find the value of k
and the distance AB.
17coordinate geometry
If the points A (1, 2), O (0, 0) and C
(a, b) are collinear, then
(A) a = b (B) a = 2b (C) 2a = b (D) a = –b
16 Coordinate Geometry
The
area of a triangle with vertices (a,
b + c), (b, c + a) and
(c, a + b) is
(A) (a + b + c)2 (B) 0 (C) a + b + c (D) abc
14-coordinate geometry
The
perpendicular bisector of the line segment joining the points A (1, 5) and B
(4, 6) cuts the y-axis at
(A)
(0, 13) (B) (0, –13) (C) (0, 12)
(D) (13, 0)
13-Coordinate Geometry
If
the point P (2, 1) lies on the line segment joining points A (4, 2) and B (8,
4), then
12-coordinate geometry
The
fourth vertex D of a parallelogram ABCD whose three vertices are A (–2, 3), B
(6, 7) and C (8, 3) is
(A) (0, 1) (B) (0, –1) (C) (–1, 0) (D)
(1, 0)
11-coordinate geometry
The
point which lies on the perpendicular bisector of the line segment joining the
points A (–2, –5) and B (2, 5) is
(A) (0, 0) (B) (0, 2) (C) (2, 0)
(D) (–2, 0)
Monday, August 12, 2013
IPM , IMO STD V
Nanu visits a grocery store. With the money in per purse, if
she buys 6 kgs of rice, she will be short by Rs 6, and if she buys 8 kgs of
rice, then she will be short by Rs 14. What is the money Nanu is carrying in
her purse?
Mean
The average of 13 observations is 23. The average of the
first 7 observation is 27 and the average of the last 7 observation is 24. What
is the value of the seventh observation?
Simultaneous equation
Two persons A and B are 27 km apart, setting out at the same time, are together in 9 hours if they walk in the same direction, but in 3 hours if they walk in opposite directions. Find their rate of walking.
Simultaneous equation
A, B and C travel from the same place at the rates of 5, 6 and 8 km/hr respectively. If B starts 2 hours after A, how long after B must C start in order that they may overtake A at the same instant?
Sunday, August 11, 2013
Arithmetic progression
Find the sum of
first 17 terms of an AP whose 4th and 9th terms are –15 and –30 respectively.
Arithmetic Progession
The first term of an AP is –5 and the
last term is 45. If the sum of the terms of the AP is 120, then find the number
of terms and the common difference.
Arithmetic Progression
Split 207 into three parts such that
these are in AP and the product of the two smaller parts is 4623.
Arithmetic Progression
The angles of a triangle are in AP. The greatest angle is twice the least. Find all the angles of the triangle.
Arithmetic progression ↑↑↑↑
How many numbers lie between 10 and 300, which when divided by 4
leave a remainder 3?
Arithmetic Progression
Justify whether it
is true to say that the following are the nth terms of an AP.
1+n+n2
Saturday, August 10, 2013
arithmetic progression
The sum of the 5th and
the 7th terms of an AP is 52 and the 10th term is 46. Find the AP.
10 coordinate geometry
The equation of a line is 2y – 3x = 5. A
mirror is placed at x = 6.
Find the equation of line of the mirror
image.
Friday, August 9, 2013
number, divisibility
Show that the square of any positive integer cannot be of the
form 5q + 2 or 5q + 3 for any integer q
numbers, divisibility
Prove that one and only one out of n, n + 2 and n + 4 is divisible by 3, where n is any positive integer.
Division , HCF and LCM
Use Euclid’s division algorithm to
find the HCF. Also find which of the following pairs of numbers are co-prime:
NCERT Exemplary Question
(i)
231, 396
(ii)
847, 2160
Thursday, August 8, 2013
trigonometry NCERT
A window
of a house is h metres above the ground. From the window, the angles of
elevation and depression of the top and the bottom of another house situated on
the opposite side of the lane are found to be α and β,
respectively. Prove that the height of the other house is h (1 + tan α cot β) metres
trigonometry NCERT ↑↑↑↑
A ladder
rests against a vertical wall at an inclination α to the horizontal. Its foot is pulled away from the wall through a distance
p so that its upper end slides a distance q down the wall and then the ladder
makes an angle β to the horizontal.
Show that:
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