# Grade - examples - page 34

- Trapezoid

trapezoid ABCD a = 35 m, b=28 m c = 11 m and d = 14 m. How to calculate its area? - Circumscribing

Determine the radius of the circumscribed circle to the right triangle with legs 9 cm and 6 cm. - Opposite numbers

Calculate opposite numbers (additive inverse) to given ones: - Inscribed rectangle

The circle area is 216. Determine the area of inscribed rectangle with one side 5 long. - Map

Forest has an area of 36 ha. How much area is occupied by forest on the map at scale 1:500? - Potatoes

Potatoes contain 78.6% starch. How many potatoes need to obtain 27 kg of starch? - Root

Use law of square roots roots: ? - Paddlers

Students of canoeists trip traveled in three days 102 km. Second day traveled 15% more than first day and at the third day 9 km over the second day. How many kilometers traveled each day? - Weight of air

What is the weight of air in the living room measuring width 5 m length 2 m and height 2.8 m? Air density is ρ = 1.2 kg/m^{3}. - Shots

5500 lead shots with diameter 4 mm is decanted into a ball. What is it diameter? - Sales vs profit

Apple sells 22 percent less computes than the Acer but the profit from their sales is 2.2 times higher than Acer. How many times are Apple computer more expensive than Acer? - Shooter

The probability that a good shooter hits the center of the target circle I is 0.1. The probability that the target hit intercircle is II 0.58. What is the probability that it hits the target circle I or II? - Events

Event N has probability of 0.24. What is the probability that the event N occurs in 8, 5, 4 try. - Balls

From the urn in which are 7 white balls and 17 red, gradually drag 3-times without replacement. What is the probability that pulls balls are in order: red red red? - Triangular prism

Base of perpendicular triangular prism is a right triangle with leg length 5 cm. Content area of the largest side wall of its surface is 130 cm² and the height of the body is 10 cm. Calculate its volume. - Euler problem

Someone buys a 180 tolars towels. If it was for the same money of 3 more towels, it would be 3 tolars cheaper each. How many were towels? - Pairs

From the five girls and four boys teachers have to choose one pair of boy and girl. A) How many such pairs of (M + F)? B) How many pairs where only boys (M + M)? C) How many are all possible pairs? - Cathethus and the inscribed circle

In a right triangle is given one cathethus long 14 cm and the radius of the inscribed circle of 5 cm. Calculate the area of this right triangle. - Count of roots

How many solutions has equation x. y = 7757 with two unknowns on the set of natural numbers? - Distance

Calculate distance between two points X[18; 19] and W[20; 3].

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