# Grade - examples - page 65

- Rhombus IV

Calculate the length of the diagonals of the rhombus, whose lengths are in the ratio 1: 2 and a rhombus side is 35 cm. - Chord - TS

The radius of circle k measures 68 cm. Arc GH = 47 cm. What is TS? - 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? - 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? - Variations 3rd class

From how many elements we can create 13,800 variations 3rd class without repeating? - 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? - 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°? - Copiers

The new copier copying a folder of papers 5 min. faster than the old. The operator used new, but out of toner and exchange took 5 min. In that time copied on the old. The whole work has been done for 9 min. How long would the work done only by old copier? - 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? - Derivation

Exists a function whose derivation is the same function? - Simple interest

Peter put into bank 790 euros deposit. After 2 years on account overall was 974 euro. What was the interest rate if bank add simple interest? - 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? - 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 - Arc

Convert to arc measures (radians): 924 ° Result write as a multiple of π - Square and circle

Into square is inscribed circle with diameter 10 cm.What is difference between circumference square and circle? - Line

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

The first alloy is a mixture of two metals in the ratio 1:2, the second is a mixture of same metals in the ratio 2:3. At what ratio we have these two alloys put into the furnace to obtain a new metal alloy with ratio 17:27? (All three ratios correspond to. - Two workers

Two workers make 138 parts/items. The first one produces 30% more than the second. How many items will each produce? - Logarithmic equation

Solve equation: log_{33}(3x + 21) = 0

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