# Grade - examples - page 88

- Catheti

The hypotenuse of a right triangle is 41 and the sum of legs is 49. Calculate the length of its legs. - Circle inscribed

Calculate the perimeter and area of a circle inscribed in a triangle measuring 3 , 4 and 5 cm. - Wood

Wood cube with edge 11 cm weights 0.753 kg. What weight have 10, 100 and 1000 these cubes? - Nectar

Nectar collected by bees contains 70% water. From the nectar of the some process produces honey which contains 19% water. How many kg of nectar bees need to collect to make 1 kg of honey? - Balls

The boys changed stamps, beads and balls. For 9 balls is 3 stamps, 2 balls is 44 stamps. How many beads is for 1 ball? - Cuboid - complicatef

Three walls of the same cuboid has content 6 cm^{2}, 10 cm^{2}and 15 cm^{2}. Calculate the volume of the cuboid. - Cube 7

Calculate the volume of a cube, whose sum of the lengths of all edges is 276 cm. - Two trains meet

From A started at 7:15 express train at speed 85 km/h to B. From B started passenger train at 8:30 in the direction to A and at speed 55 km/h. The distance A and B is 386 1/4 km. At what time and at what distance from B the two trains meet? - Is right triangle

One angle of the triangle is 36° and the remaining two are in the ratio 3:5. Determine whether triangle is a rectangular triangle. - Concrete pillar

How many m³ of concrete is needed for the construction of the pillar shape of a regular tetrahedral prism, when a = 60 cm and the height of the pillar is 2 meters? - Cars 2

Opava is 360 km distance from Prešov. At 8:00 hour two cars started against each other from this cities at average speeds 88 km/h and 121 km/h. At what hour its will meet and what distance its travel if car started from Prešov is faster? - Silver medal

To circular silver medal with a diameter of 10 cm is inscribed gold cross, which consists of five equal squares. What is the content area of silver part? - Car consumption

The car has consumption 4 l/100 km. How much money will it cost ride 4 km in long if diesel price is 1.53 USD/l? - Rectangular trapezium

Calculate the perimeter of a rectangular trapezium when its content area is 576 cm^{2}and sice a (base) is 30 cm, height 24 cm. - Square vs rectangle

Square and rectangle have the same area contents. The length of the rectangle is 9 greater and width 6 less than side of the square. Calculate the side of a square. - Angles of a triangle

In the triangle ABC, the angle beta is 15° greater than the angle alpha. The remaining angle is 30° greater than the sum of the angles alpha and beta. Calculate the angles of a triangle. - Holidays

Of the 35 students of class were 7 on holiday in Germany and just as much in Italy. 5 students visited Austria. In none of these countries was 21 students, all three visited by one student . In Italy and Austria were 2 students and in Austria and Germany. - Children

Margaret and Zdena weighs the same and Petra 3 kg more. Together weigh 156 kg. How much does they weigh? - Comsumption

On route 150 km long car consumed 13 liters of gasoline. How much gasoline consumed for driving 300 km? - Ring

The ring made from gold and copper alloy has a weight of 14.5 g and a volume of 1.03 cm^{3}. How much gold and how much copper it contains? The metal densities are Au 19.3 g/cm³ and Cu 8.94 kg·dm-3

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