# Grade - examples - page 8

- Rectangle

In rectangle with sides, 10 and 8 mark the diagonal. What is the probability that a randomly selected point within the rectangle is closer to the diagonal than to any side of the rectangle? - No. of divisors

How many different divisors has number ?? - Square and circles

Square with sides 83 cm is circumscribed and inscribed with circles. Determine the radiuses of both circles. - Motion2

Cyclist started out of town at 19 km/h. After 0.7 hours car started behind him in the same direction and caught up with him for 23 minutes. How fast and how long went car from the city to caught cyclist? - Proof PT

Can you easy prove Pythagoras theorem using Euclidean theorems? If so, do it. - Observer

The observer sees straight fence 100 m long in 30° view angle. From one end of the fence is 153 m. How far is it from the another end of the fence? - 7 heroes

9 heroes galloping on 9 horses behind. How many ways can sort them behind? - Subtraction

How many times you can subtract the number 4 from the number 64? - Textbooks

After check of textbooks found that every 10-th textbook should be withdrawn. Together 58 textbooks were withdrawn. How many textbooks were in stock before withdrawn and how many after withdrawn? - ŽSR

Calculate fixed annual personnel costs of operating monorail line 118 km long if every 5 km is station, which serve three people - one dispatcher and two switchman in 4-shift operation. Consider the average salary of the employee 885 €. - Vinegar 2

How many percentage of getvinegar solution, if we mix to 2 liters of 5.9% and 2 liters of 3.5% vinegar? - Rhombus ABCD

Rhombus ABCD, |AC| = 90 cm, |BD| = 49 cm. Calculate the perimeter of the rhombus ABCD. - Diagonal

Calculate the length of the diagonal of the rectangle ABCD with sides a = 8 cm, b = 7 cm. - Pipes

Water pipe has a cross-section 1087 cm^{2}. An hour has passed 960 m^{3}of water. How much water flows through the pipe with cross-section 300 cm^{2}per 9 hours if water flow same speed? - Area of RT

Calculate the area of a right triangle which hypotenuse has length 10 and one hypotenuse segment has lenght 5. - Eiffel Tower

Eiffel Tower in Paris is 300 meters high, is made of steel. Its weight is 8000 tons. How tall is the tower model made of the same material, if it weigh is 2.4 kg? - Ace

From complete sets of playing cards (32 cards) we pulled out one card. What is the probability of pulling the ace? - School trip

School trip cost 247.2 Eur for one class (24 students). How much would cost a trip for two classes? (both classes together have 53 students) - Two cars

Two cars started against each other at the same time to journey long 293 km. First car went 41 km/h and second 41 km/h. What distance will be between this cars 20 minutes before meet? - Flags

How many different flags can be made from colors white, red, green, purple, orange, yellow, blue so that each flag consisted of three different colors?

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