# Examples for 9th grade - page 26

- Sisters

Sisters Janka and Danka are saved together 220 CZK. On a trip to Janka wants to take a fifth of her savings and Danka quarter. Then they will have 50 CZK on the trip. How much money saved Janka and Danka? - Sisters

Sisters Zuzka Lenka and Vierka has save for a new bike. Zuzka save € 90, Lenka save € 90 and Vierka save € 82. Missing 30% gave them their mother. What is the price of the bike? - Tourists

From the cottage started first group of tourists at 10:00 AM at speed 4 km/h. The second started after them 39 minutes later at speed 6 km/h. How long and how many kilometers from the cottage will catch the first group? - Task of the year

Determine the number of integers from 1 to 10^{6}with ending four digits 2001. - Tower

The top of the tower is a regular hexagonal pyramid with base edge 9.2 meters long and a height 9.6 meters. How many m^{2}of sheet is required to cover the top of the tower if we count 12% of the sheet waste? - Simple interest 2

Find the simple interest if 2531 USD at 2.5% for 9 months. - Thales

Calculate the length of the Thales' circle described to right triangle with hypotenuse 44 cm. - R Trapezium

Rectangular trapezium has bases 17 and 7 and area 80 cm^{2.}What is its perimeter? - Toys

3 children pulled 9 different toys from a box. Many ways can be divided toys so that each children had at least one toy? - Work

First paver pave pavement for 33 hours. Second for 24 hours. Started first paver and after 5 hours, join the second. How long will they finish pavement? - Steeple

Steeple seen from the road at an angle of 57°. When we zoom out to 25 meters, it is seen at an angle of 21°. What is high? - Triangle angles

The angles α, β, γ in triangle ABC are in the ratio 10:5:6. Calculate size of angles. - Water reservoir

The water reservoir is filled with one pump for 4 days by the second one for 9 days. Outlet can drain tank in 12 days. How long take fill the reservoir if both pumps are running and not closed outlet channel. - Bathroom

How many CZK we pay for lining the perimeter walls of the bathroom with rectangular shape with dimensions 3.5 m and 4 m, high 1.5 m if 1 square m tile cost 300 CZK? - Cuboid - complicatef

Three walls of the same cuboid has content 6 cm^{2,}10 cm^{2}and 15 cm^{2.}Calculate the volume of the cuboid. - Circle sector

Circular sector with a central angle 10 ° has area 254 cm^{2.}Calculate its radius r. - Painting school

Redecoration school had scheduled for four crew to 10 days. After two days a single worker ill. For how many days the school was painted when remain workers working with the same tempo? - Parallelogram ABCD

The area of parallelogram ABCD is 41 cm^{2.}Points M and N are the midpoints of the sides AB and BC. What is the area of a quadrilateral MBND? - Circles

Area of circle inscribed in a square is 6. What is the area of a circle circumscribed around a square? - Product V2

The price of product was increased by 15%. Price increased by 154. How much money it would cost this product, if it was on the contrary by 23% discounted.

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