# Grade - examples - page 62

- Triangle P2

Can triangle have two right angles? - Angles of the triangle

ABC is a triangle. The size of the angles alpha, beta are in a ratio 4: 7. The angle gamma is greater than the angle alpha by a quarter of a straight angle. Determine angles of the triangle ABC. - Tournament

Determine how many ways can be chosen two representatives from 34 students to school tournament. - Peak

Uphill leads 2 paths and 1 lift. a) How many options back and forth are there? b) How many options to get there and back by not same path are there? c) How many options back and forth are there that we go at least once a lift? - Seeds

The field has a rectangular shape with dimensions of 128 m and 350 m. How many kg of seed are needed for sowing if the 1 m^{2}will consume 25 g of seeds? - Seating rules

In a class are 24 seats but in 7.B class are only 18 students. How many ways can student seat? (The class has 12 benches. A bench is for a pair of students.) Result (large number) logarithm and thus write down as powers of 10. - Minute hand v2

In how many minutes describe the minute hand angle 60 degrees? - Maple

Maple peak is visible from a distance 3 m from the trunk from a height of 1.8 m at angle 62°. Determine the height of the maple. - Painters

The first team of painters would paint bridge in 15 days, the second in 10 days. After 3 days of working together second team goes out and continue only first team. How many days took second team to finish painting the bridge? - Disinfecting solution

How much distilled water is necessary to pour into 500 ml of 33% hydrogen peroxide solution to obtain 3% disinfecting solution? - Angle

A straight line p given by the equation ?. Calculate the size of angle in degrees between line p and y-axis. - Reflector

Circular reflector throws light cone with a vertex angle 49° and is on 33 m height tower. The axis of the light beam has with the axis of the tower angle 30°. What is the maximum length of the illuminated horizontal plane? - Cows

20 cows has food for 60 days. We reduce the dose to two-thirds for 18 cows. How many days will be fed? - Book

Calculate the thickness of the page of the collection of examples from mathematics, where 4.87 cm thick and has 451 pages. - Sum-log

The sum of two numbers is 32, the sum of their logarithms (base 10) is 2.2. Determine these numbers. - Medals

In how many ways can be divided gold, silver and bronze medal among 21 contestant? - Knight

Knight passed 13 km long track in 26 minutes, what was his average speed? - Class 8.A

Three quarters of class 8.A went skiing. Of those who remained at home one third was ill and the remaining six were on math olympic. How many students have class 8.A? - Dairy

Diary workers calculated according to the standards that from the 108 liters of milk is possible to produce 9 kg cheese. How many tons of cheese was possible according to standards make from milk from 100 cows devoted for 30 days with average daily milk. - Words

How many 3 letter "words" are possible using 14 letters of the alphabet? a) n - without repetition b) m - with repetition

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