# Grade - examples - page 52

1. 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.
2. Grandfather The grandfather is three years older than an grandmother. The average age of the grandmother, the grandfather and their seven grandchildren is 28 years. The grandchildren have a total of 105 years. Calculate how old is grandfather.
3. Seven-segmet Lenka is amused that he punched a calculator (seven-segment display) numbers and used only digits 2 to 9. Some numbers have the property that their image in the axial or central symmetry was again give some number. Determine the maximum number of three-d
4. Bronze, tin and copper Bronze is an alloy of tin and copper. An alloy of 10% tin and 90% copper is Gunmetal. If it contains 20% tin and 80% copper, it is bell metal. How many tons of molten bell metal and how many tons of copper is needed to make 100 tons of Gunmetal?
5. Mom and daughter Mom is 30 years older than the daughter. What is the age difference between them in 35 years?
6. Rectangle vs square The rectangle has dimensions of 13 × 10, square 8 × 8. Which shape has more area and how much above?
7. Remainders It is given a set of numbers { 170; 244; 299; 333; 351; 391; 423; 644 }. Divide this numbers by number 66 and determine set of remainders. As result write sum of this remainders.
8. Observatory Observatory dome has the shape of a hemisphere with a diameter d = 10 m. Calculate the surface.
9. Gasholder The gasholder has spherical shape with a diameter 20 m. How many m3 can hold in?
10. Trapezium zoom How many times increase area of trapezoid if all sides and altitude increase 5 times?
11. Sprayers The vineyard can be sprayed first sprayer in 5 hours and with the second in 8 hours. How long would it take if we use sprayers both at once?
12. Elections In elections candidate 10 political parties. Calculate how many possible ways can the elections finish, if any two parties will not get the same number of votes.
13. Slovakia banks It is unwritten rule that the larger bank in Slovakia (number of clients, balance sheet) the worst / more expensive services offered to clients. Perhaps it is customs and herd customers that prefer only trio SLSP, VUB and Tatrabanka. Calculate how many ti
14. Scientists from the Social Insurance Aaron became sick leave and social insurance granted him sick leave of 13.8211695 EUR per day. Calculate the number of days to save Aaron to roll in the price of 0.1 Eur, if every day they postpone the amount of the last decimal place of his sickness. [
15. Airplane Aviator sees part of the earth's surface with an area of 200,000 square kilometers. How high he flies? The voltage station is every day changing the master password, which consists of three letters. Code generation process does not change and is based on the following procedure: The following letters (A) to (I) correspond to different numbers from 1 to 9. I
17. Rectangle - parallelogram It is given a rectangle that is circumscribed by a circle with a radius of 5 cm. The short side of the rectangle measures 6 cm. Calculate the perimeter of a parallelogram ABCD whose vertices are the midpoints of the sides of the rectangle.
18. Volatile percents Kent is working as a forex trader. Suffered a loss of 65.8 percent. Calculate what percentage must now earn to lift from loss?
19. The tank The tank has 1320 liters of water. The tank has the shape of a prism, its base is an rectangle with sides a = 0,6 m and b = 1,5 m. How high does the water level reach in the tank?
20. Work First paver pave pavement for 27 hours. Second for 27 hours. Started first paver and after 4 hours, join the second. How long will they finish pavement?

Do you have an interesting mathematical example that you can't solve it? Enter it, and we can try to solve it.

To this e-mail address, we will reply solution; solved examples are also published here. Please enter e-mail correctly and check whether you don't have a full mailbox.