# Grade - examples - page 143

- Runners

For three runners (on the first to third place) is prepared 30 chocolate that they be distributed in the ratio of 3 : 2 : 1 How much chocolate will get everyone? - Cuboid surface

Determine surface area of cuboid if its volume is 52.8 cm cubic and length of the two edges are 2 cm and 6 cm. - Bags

The first bag has a weight of 18 kg, the second bag is a one-third lighter than the first and the third bag has three times less the weight of all three bags together. Determine their weights. - Angles in ratio

The size of the angles of the triangle are in ratio x: y = 7: 5 and the angle z is 42° lower than the angle y. Find size of the angles x, y, z. - Cuboid enlargement

By how many percent increases the volume of cuboid if its every dimension increases by 30%? - Family

Son is 3/5 smaller than the mother. Mother is 99 cm higher than the son. How tall is the mother? - Water reservoir

The reservoir shape of a cylinder having a diameter 8 m and a height 2.8 m. The device indicates that the reservoir contains 800 hectoliters of water. Calculate how much % of volume is used. - AP 6

Calculate the first five items of an arithmetic sequence if it is given: a_{2}– a_{3}+ a_{5}= 20 a_{1}+ a_{6}= 38 - Equation

? - Circle - simple

The circumference of a circle is 930 mm. How long in mm is its diameter? - Cards

From a set of 32 cards we randomly pull out three cards. What is the probability that it will be seven king and ace? - Televisions

Television is the fifth most expensive and tenth cheapest TV. How many different TVs are in stores? - Scale 3

Miriam room is 3.2 meters wide. It is draw by line segment length 6.4 cm on floor plan. In what scale it is plan of the room? - Body diagonal

Find the cube surface if its body diagonal has a size of 6 cm. - Cars 6

At 9:00 am two cars started from the same town and traveled at a rate of 35 miles per hour and the other car traveled at a rate of 40 miles per hour. After how many hours will the cars be 30 miles apart? - Breeder

Seven hens breeder has supplied 350 eggs. How long can deliver, if each of its chickens can withstand at least 5 eggs for week? - Four friends

Four friends shared the money. Vasek got 1/4 of the total amount. Tonda received 1/3 of the rest of the money, Joe got a half from the second residue and Jirka left 80. How much money get together? - De Moivre's formula

There are two distinct complex numbers z such that z^{3}is equal to 1 and z is not equal 1. Calculate the sum of these two numbers. - Axial cut

The cone surface is 388.84 cm^{2,}the axial cut is an equilateral triangle. Find the cone volume. - School library

The school library contains 6300 books. With this constitutes 7% of professional books for teachers 18% interest books and encyclopedias for pupils and the rest of the fairy tales. How much are which books?

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