# Grade - examples - page 45

1. Czech crowns Oldrich has one crown. Peter has five crowns coin, a two crown coin and a one-crown coin. Radek has twenty-crown banknote, ten banknote and five-crown coin. The boys got one fifty-one crown and one crown coin. How can they share the money fairly when they.
2. Tributaries The first tributary fill pool with water in 15 hours. The second tributary fill pool in 10 hours. For how many hours the pool is filled with both tributaries?
3. The cone The lateral surface area of the cone is 4 cm2, the area of the base of the cone is 2 cm2. Determine the angle in degrees (deviation) of the cone sine and the cone base plane. (Cone side is the segment joining the vertex cone with any point of the base ci
4. Two valves Water fill the pool by two valves for 11 days. After 7 days the first valve was stopped and the second valve fill pool for 7 days. How many days took to fill the pool each of the valves individually?
5. Toys 3 children pulled 12 different toys from a box. Many ways can be divided toys so that each children had at least one toy?
6. Hairs Suppose the length of the hair is affected by only the α-keratin synthesis, which is the major component. This synthesis takes place in the epithelial cells of the hair bulb. The structure of α-keratin is made up of α-helix, wherein in one revolution it is
7. Fixed expenses 2013 Since 2013, the Slovak government plans to tax more small one person businesses. Instead of fixed expences 40% will be fixed expences 40% of gross income up to 420 Eur. Calculate what percentage of fixed expences will in 2013 pays from gross income 1569 E
8. Ladislav in Amsterdam Ladislav was reward and went to conference in Amsterdam. Conferense fee was € 3484. Calculate how many books Ladislav could buy at the price of 48 and 52 euros if he don't want fill whole home library and he can buy only 70 books?
9. Sun rays If the sun's rays are at an angle 60° then famous Great Pyramid of Egypt (which is now high 137.3 meters) has 79.3 m long shadow. Calculate current height of neighboring chefren pyramid whose shadow is measured at the same time 78.8 m and the current hei
10. Series Andrew wrote this series of numbers: 1,3,7,15, .... n. Which number in the series does not belong? ?
11. Vertical prism The base of vertical prism is a right triangle with leg a = 5 cm and a hypotenuse c = 13 cm. The height of the prism is equal to the circumference of the base. Calculate the surface area and volume of the prism
12. Common chord Two circles with radius 17 cm and 20 cm are intersect at two points. Its common chord is long 27 cm. What is the distance of the centers of these circles?
13. Segments Which of the pairs of numbers on the number line encloses the longest segment: ?
14. Mushrooms Fresh mushrooms contain 94% water, dried 14%. How many kg of fresh mushrooms is needed to collect to get 10 kg dried?
15. Rhombus diagonal Area of rhombus is 224. One diagonal measures 33, find length of other diagonal.
16. Line Line p passing through A[-10, 6] and has direction vector v=(3, 2). Is point B[7, 30] on the line p?
17. Family What is the probability that a family with 7 childrens have: exactly 5 girls? 7 girls and 0 boys? Consider the birth probability of a girl is 48.69% and boy 51.31%.
18. Number Calculate the integer number which, divided by 34 gives 10 and the rest 25.
19. Basements In the first basement is more flies than the spiders, the second vice versa. Each basement had spiders and flies together 100 feet. Determine how many could be flies and spiders in the first and second basement. PS. We only need, when you write how many.
20. Leg Determine the area of a trapezoid with bases 71 and 42 and height is 4 shorter than the its leg.

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.