Simple equations
Special cases using speed math
for competition
If the denominators are cyclical
in the form AB , BC and CA, then
Friday, August 23, 2013
Wednesday, August 21, 2013
Tuesday, August 20, 2013
Simultaneous Equation
At a flower show which 1250 attended, outsiders were charged $1, villagers $ 0.5 and school children $ 0.05. The total receipt from the flower show was $695. There were 3 times as many villagers as outsiders. How many outsiders came to the show?
simultaneous equation using cross multiplication technique
Use cross multiplication to solve the simultaneous equation:
3x-2y-5=0
4x +6y+12=0
Ratio and proportion
Show that:
If,
ax+cy+bz=0 ---- (1)cx+by+az=0 ---- (2)
bx+ay+cz=0 ---- (3)
Then, a3+b3+c3 = 3abc
Monday, August 19, 2013
Mensuration
A
rocket is in the form of a right circular cylinder closed at the lower end and
surmounted by a cone with the same radius as that of the cylinder. The diameter
and height of the cylinder are 6 cm and 12 cm, respectively. If the slant
height of the conical portion is 5 cm, find the total surface area and volume
of the rocket
[Use π = 3.14].
mensuration
A
cylindrical bucket of height 32 cm and base radius 18 cm is filled with sand.
This bucket is emptied on the ground and a conical heap of sand is formed. If
the height of the conical heap is 24 cm, find the radius and slant height of
the heap.
Mensuration
A
milk container of height 16 cm is made of metal sheet in the form of a frustum
of a cone with radii of its lower and upper ends as 8 cm and 20 cm respectively. Find
the cost of milk at the rate of Rs. 22 per litre which the container can hold.
mensuration
16 glass spheres each of
radius 2 cm are packed into a cuboidal box of internal dimensions 16 cm × 8 cm
× 8 cm and then the box is filled with water. Find the volume of water filled
in the box.
Mensuration
500
persons are taking a dip into a cuboidal pond which is 80 m long and 50 m
broad. What is the rise of water level in the pond, if the average displacement
of the water by a person is 0.04m3?
mensuration
A solid iron cuboidal block
of dimensions 4.4 m × 2.6 m × 1m is recast into a hollow cylindrical pipe of
internal radius 30 cm and thickness 5 cm. Find the length of the pipe.
Mensuration
Water
is flowing at the rate of 15 km/h through a pipe of diameter 14 cm into a cuboidal
pond which is 50 m long and 44 m wide. In what time will the level of water in
pond rise by 21 cm?
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