# Examples for 8th grade - page 11

- Diagonals of the rhombus

Calculate height of rhombus whose diagonals are 15 cm and 5 cm. - Profitable bank deposit 2012

Calculate the value of what money lose creditor with a deposit € 7700 for 4 years if the entire duration are interest 2.2% p.a. and tax on interest is 19% and annual inflation is 3.6% (Calculate what you will lose if you leave money lying idle at negative - Triangular prism

Plane passing through the edge AB and the center of segmet CC' of regular triangular prism ABCA'B'C', has angle with base 50 degrees, |AB| = 5 cm. Calculate the volume of the prism. - Cube

The cube weighs 47 kg. How weight is cube of the same material, if its dimensions are 3-times smaller? - Equilateral triangle

How long should be the minimum radius of the circular plate to be cut equilateral triangle with side 18 mm from it? - Hexagon A

Calculate area of regular hexagon inscribed in circle with radius r=7 m. - Bicycle wheel

Bicycle wheel has a diameter of 60 cm. Approximately how many times the wheel rotates at 3.7 km long trip? - Garden

Father dig up the garden in 13 hours. Son in 18 hours. How many hours take dig up the garden together? - Road

Between cities A and B is route 3 km long of rise average 4‰. Calculate the height difference of cities A and B. - Right isosceles

Calculate area of the isosceles right triangle which perimeter is 35 cm. - Balls

Three metal balls with volumes V_{1}=41 cm^{3}V_{2}=58 cm^{3}and V_{3}=83 cm^{3}melted into one ball. Determine it's surface area. - Similarity coefficient

The ratio of similarity of two equilateral triangles is 3.9 (ie 39:10). The length of the side of smaller triangle is 3 cm. Calculate the perimeter and area of the larger triangle. - Team

The football team has 11 players. Their average age is 21 years. During the match due to injury, one player withdraws and the average age of the team is 20. How old was injured player? - Hole

In the center of the cube with edge 15 cm we will drill cylinder shape hole. Volume of the hole must be 28% of the cube. What drill diameter should be chosen? - Tinsmith

Tinsmith construct chimney pipe 126 cm long and 11 cm wide. What are the dimensions of the sheet will have to prepare for the construction of a pipe when the plate overlap at the joint add $x cm width of the plate? - Air

Room is 26.2 m long, 23.4 dm wide and 628 cm high. How many people can simultaneously be in this room if for hygiene reasons is calculated 5100 dm^{3}of air per person? - Radius

Determine the radius of the circle, if its perimeter and area is the same number. - Speed of Slovakian trains

Rudolf decided to take the train from the station 'Nová Baňa' to 'Gelnica'. In the train timetables found train R 371 Horehronec : km0Břeclav os.n.05:268Lanžhot05:3205:3214Brodské05:3705:3818Kúty05:4205:4344Malacky05:5906:0082Bratislava hl.st.06:2606:37 - Diofant 2

Is equation ? solvable on the set of integers Z? - Discount

Product has been discounted twice by 14%. What is the total discount given?

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