# Examples for 9th grade - page 27

- Two diggers

There are two diggers. One digger digs a pit 83 hours second gidding 1.4 times faster. a) how long took to dig a pit second digger b) how long took dig together - Elections

In elections candidate 8 political parties. Calculate how many possible ways can the elections finish, if any two parties will not get the same number of votes. - Cars plates

How many different licence plates can country have, given that they use 3 letters followed by 4 digits? - Chess

How many ways can select 3 fields on classic chess board with 64 fields, so that fields don't has the same color? - 30-60-90

The longer leg of a 30°-60°-90° triangle measures 7. What is the length of the shorter leg? - Trapezoid ABCD

Calculate the perimeter of trapezoid ABCD if we know the side c=25, b=16 which is also a height and side d=27. - Ice cream in cone

In the ice cream cone with a diameter of 3.6 cm is 0.9 dl of ice cream. Calculate the depth of the cone. - 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? - Chicken

I threw three chicken for a handful of grains and I noticed that it eat in a ratio of 8:7:6 and two of them grabbed 156 grains. How many grains have fought that chicken? - Flowerbed 2

Around the square flower bed in a park is sidewalk 1.4 m wide. The area of this sidewalk is 125 m^{2.}What is the area of the flowerbed? - Diamond ABCD

In the diamond ABCD is the diagonal e = 24 cm and size of angle SAB is 28 degrees, where S is the intersection of the diagonals. Calculate the circumference of the diamond. - RT and ratio

Right triangle whose cathetus are in a ratio 6:17 has hypotenuse 47 m long. How long are cathetus? - Cube - wall

V kocke ABCDEFGH je ?. Aký je povrch kocky? - Bath

In the bath is 30 liters of hot water. Then added 38 liters of cold water at temperature of 17 °C decreased temperature of water to 48 °C. What was the initial temperature of the hot water? - Father and son

Father is three times older than his son. 12 years ago father was nine times older than the son. How old are father and son? - Water

On the lawn which has area 243 m^{2}rained 5 mm of water. How many liters of water rained? - Exam average

Average of marks that have on the certificates students of 8.A class in mathematics is exactly 2.45. If we did not add 1 and 3 of sutdents Michael and Alena, who arrived a month ago, it would average exactly 2.5. Determine how many students have class 8. - The body

The body on the figure consists of cubes with an edge length 10 cm. What surface has this body? - Diagonal

Diagonal of the rectangle has length 14 cm. Angle between diagonal and londer sife of rectangle is 37°. Calculate area of the rectangle. - 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)?

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