# Examples for 9th grade - page 35

- Sports games

Pupils of same school participated district sports games. When dividing into teams found that in the case of the creation teams with 4 pupils remaining 1 pupil, in the case of a five-member teams remaining 2 pupils and in the case of six-members teams r - Cube wall

Calculate the cube's diagonal diagonal if you know that the surface of one wall is equal to 36 centimeters square. Please also calculate its volume. - Cable car

Cable car rises at an angle 45° and connects the upper and lower station with an altitude difference of 744 m. How long is "endless" tow rope? - Function

For linear function f(x) = ax + b is f(14)=179; f(15)=154. Calculate m, if f(m) = 2019 . - Euclid 5

Calculate the length of remain sides of a right triangle ABC if a = 7 cm and height v_{c}= 5 cm. - Car rent

Rental cars are paid a fixed daily fee plus 16 cents for each kilometer traveled. Samuel want to rent a car for a day and worked out that will pay 175 euros. When paying he got a 20% discount on the daily fee, the cost per kilometer is unchanged. Samuel th - Disinfecting solution

How much distilled water is necessary to pour into 500 ml of 33% hydrogen peroxide solution to obtain 3% disinfecting solution? - Tin with oil

Tin with oil has the shape of a rotating cylinder whose height is equal to the diameter of its base. Canned surface is 1884 cm^{2.}Calculate how many liters of oil is in the tin. - Aluminum wire

Aluminum wire of 3 mm diameter has a total weight of 1909 kg and a density of 2700 kg/m^{3.}How long is the wire bundle? - Pedestrian and the cyclist

Pedestrian and cyclist went against each from the two cities that are distant 40 km. Pedestrian started 30 minutes before the cyclist and walk an average speed of 5 km/h. What speed went cyclist when met after 120 minutes from the start of the pedestrian? - Triangular pyramid

Determine the volume and surface area of a regular triangular pyramid having a base edge a=20 cm and a lateral edge b = 35 cm - Train 2

The train slowed down from 90 km/h to 72 km/h in 5 seconds. How long track travel? - Father and son

Father is 48 years old, son 23. When will be the father twice older than a son? - Logs

The log has diameter 30 cm. What's largest beam with a rectangular cross-section can carve from it? - Clock hands

The hands on the clock shows the time 12 hours and 2 minutes. Calculate the size of a sharp angle between clock hands three hours later. - Bus stop

Determine at what time the bus leaves from the bus stop outside the village, if you know that when you leave home at 8:00 and go at speed 3 km/h, you come to a stop 9 minutes after the departure of the bus, and when you go speed at 4 km/h, you come to the - Chord - TS

The radius of circle k measures 68 cm. Arc GH = 47 cm. What is TS? - Rotary cylinder

The rotating cylinder has a surface area 69.08 cm^{2.}The area of the shell is 62.8 cm^{2.}What is the diameter of the cylinder? - Climb

For horizontal distance 4.9 km road rise by 6.1 m. Calculate the road pitch in ‰ (permille, parts per thousand). - Arc

Convert to arc measures (radians): 924 ° Result write as a multiple of π

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