# Grade - examples - page 66

- Special cube

Calculate the edge of cube, if its surface and its volume is numerically equal number. - Logs

The log has diameter 30 cm. What's largest beam with a rectangular cross-section can carve from it? - Father and son

Father is 48 years old, son 23. When will be the father twice older than a son? - Bus stop

Determine at what time the bus leaves from the bus stop outside the village, if you know that when you leave home at 8:00 and go at speed 3 km/h, you come to a stop 9 minutes after the departure of the bus, and when you go speed at 4 km/h, you come to the - Rotary cylinder

The rotating cylinder has a surface area 69.08 cm^{2}. The area of the shell is 62.8 cm^{2}. What is the diameter of the cylinder? - Chord - TS

The radius of circle k measures 68 cm. Arc GH = 47 cm. What is TS? - Raffle

In the pool is numbers from 1 to 115. What is the probability that a randomly selected number is not a prime number? - 3-bracket 2

May be the smallest angle in the triangle greater than 40°? - The hall

The hall had a rectangular ground plan one dimension 20 m longer than the other. After rebuilding the length of the hall declined by 5 m and the width has increased by 10 m. Floor area increased by 300 m^{2}. What were the original dimensions of the hall? - Line

How many parts of line divide 5 (different) points that lie on it? - Tractors

Uncle is going buy tractor Zetor super 50. The first costs 81000 Eur, the second costs 98000 Eur. How much pay uncle for both tractors? - Homework - jumps

Sasha jumped 121 cm Peter 4 cm more than Jirka. Jirka 6 cm less than Misha. Misha 7 cm less than Filip and Filip half as much Sasha and Petr together. How far each jumped? - Rectangle - sides

What is the perimeter of a rectangle with area 266 cm^{2}if length of the shorter side is 5 cm shorter than the length of the longer side? - Fraction

Fraction ? write as fraction a/b, a, b is integers numerator/denominator. - Diagonal in rectangle

In that rectangle ABCD is the center of BC point E and point F is center of CD. Prove that the lines AE and AF divide diagonal BD into three equal parts. - Annulus

Two concentric circles form an annulus of width 10 cm. The radius of the smaller circle is 20 cm. Calculate the content area of annulus. - Landlord

Landlord had 49 ducats more than Jurošík. How many ducats Jurošík steal landlord if the Jurošík now 5 ducats more? - Tachometer

Tatra's tachometer shows the initial state 886123 km this morning. Tatra today travel at an average speed of 44 km/h. Determine the function that describes the Tatra's tachometer depending on the time. What is the state of tachometer after 4 hours? - Painting rooms

If Dano paint three hours daily given work he complete in 7.5 days. How many hours a day would have to work to finish the job 1.5 days earlier? - Eight blocks

Dana had the task to save the eight blocks of these rules: 1. Between two red cubes must be a different color. 2. Between two blue must be two different colors. 3. Between two green must be three different colors. 4. Between two yellow blocks must be four

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