Examples for secondary school students - page 24
- Circle sector
Circular sector with a central angle 80 ° has area 1257 cm2. Calculate its radius r.
- Field with vegetables
Field planted with vegetables has shape of a rectangular isosceles triangle with leg length of 24 m. At the vertices of the triangle are positioned rotating sprinklers with a range of 12 m. How much of the field sprinkler doesn't irrigated?
- Cars plates
How many different licence plates can country have, given that they use 3 letters followed by 3 digits?
A child weighing 12 kg is sitting on a swing at a distance of 130 cm from the axis of rotation. How far away from the axis of rotation (center) must sit down his mother weighs 57 kg if she wants to be swing in balance?
- Four-digit number
Find also a four-digit number, which quadrupled written backwards is the same number.
On the lawn which has area 914 m2 rained 3 mm of water. How many liters of water rained?
Is number 5.146852 irrational?
The rhombus with area 68 has one diagonal is longer by 6 than second one. Calculate the length of the diagonals and rhombus sides.
- Workman - shift
The worker produces 300 components per shift. How many components would be produced in 18 shift, if his performance gradually increased every shift by 3 components?
- The body
The body on the figure consists of cubes with an edge length 10 cm. What surface has this body?
- Half life
Determine the half life of bismuth, when bismuth weight from the original weight of 32 g was only 2 grams in 242 minutes.
- SAS triangle
The triangle has two sides long 7 and 19 and included angle 36°. Calculate area of this triangle.
- Mother and daughter
Three years ago mother was three times older than daughter. After nine years she will be only twice old. How old is mother (and daughter)?
- Warehouse cars
From the warehouse started truck at speed 40km/h. After 1hour 30mins started from the same place same direction a car at speed 70 km/h. For how long and at what distance from the warehouse overtake a truck?
Calculate how many g's (gravity accelerations) feel glider pilot when turning the horizontal circles of radius 148 m flying at 95 km/h. Centripetal acceleration is proportional to the square of the speed and inversely proportional to the radius of rotation
From 55% and 80% spirit we would like to produce 0.2 kg of 60% spirit. How many of them we must use in a solution?
- Diagonals in diamond
In the rhombus is given a = 160 cm, alpha = 60 degrees. Calculate the length of the diagonals.
- Cone container
Rotary cone-shaped container has a volume 1000 cubic cm and a height 12 cm. Calculate how much metal we need for making this package.
How many ways can select 4 fields on classic chess board with 64 fields, so that fields don't has the same color?
The gasholder has spherical shape with a diameter 20 m. How many m3 can hold in?