Planimetrics + reason - practice problems - page 8 of 11
Number of problems found: 212
- Circumference 9811
Kristýna chose a certain odd natural number divisible by three. Jakub and David then examined triangles with a circumference in millimeters equal to the number selected by Kristýna and whose sides have lengths in millimeters expressed by different integer - Triangles
Five sticks with a length of 2,3,4,5,6 cm. How many ways can you choose three sticks to form three sides of a triangle? - MO8-Z8-I-5 2017
Identical rectangles ABCD and EFGH are positioned such that their sides are parallel to the same. The points I, J, K, L, M, and N are the intersections of the extended sides, as shown. The area of the BNHM rectangle is 12 cm2, the rectangle MBC - Two rectangles
I cut out two rectangles with 54 cm² and 90 cm². Their sides are expressed in whole centimeters. If I put these rectangles together, I get a rectangle with an area of 144 cm². What dimensions can this large rectangle have? Write all options. Explain your
- Special watch
Fero bought a special watch on the market. They have only one (minute) hand and a display showing the angle between the hour and minute hand. How many hours was his watch shown - the minute hand points to number 2; the display shows 125°. - Pasture 79214
I need to find out the number of bulls in the third period. In the first period, 12 bulls grazed on 3 and 1/3 ha for 4 weeks. In the second period, 21 bulls graze on 10 ha for 9 weeks. How many bulls in the third period graze for 24ha and 18 weeks? The pa - Each with each
Five pupils from 3A class played table tennis. How many matches did they play with each other? - Engine pulley
The engine has a 1460 rev/min (RPM). The disc diameter is 350 mm. What will be the peripheral disc speed in RPM? Pulleys on the engine have a diameter of 80mm, and a disc has a diameter of 160mm. - Earth's diameter
The Earth's diameter on the equator is approximately 12750 km. How long does the Gripen fly over the Earth above the equator at 10 km if it is at an average speed of 1500 km/h?
- Train
The train is running at speeds of 96 km/h. From the beginning of braking to full stop, the train runs for 3.3 minutes. If the train slows the braking equally, calculate the distance from the location where you need to start to brake. - Floating floor
In the new building is considered a floating floor worker in each room. Thirty minutes lay 9 m² of the floor. How long did three workers lay the floor in 4 rooms with a total area of 90 m²? - Probability 4824
We have five lines with lengths of 3cm, 5cm, 7cm, 9cm, and 11cm. What is the probability that we will be able to construct a triangle with randomly selected three? - Smaller 4835
There are two gears in the wall clock. The larger wheel has 54 teeth and the smaller 24 teeth. How many times does the small wheel turn if the big one turns four times? - Competition 33041
The long-term volleyball tournament is played on a one-on-one basis. So far, 11 teams have entered the competition. How many matches will be lost when two teams unsubscribe?
- Other's 31461
There are 13 guests at each other's party. How many clicks will you hear? - Quadrilateral calc
The square ABCD is given. The midpoint of AB is E, the midpoint of BC is F, CD is G, and the midpoint of DA is H. Join AF, BG, CH, and DE. Inside the square (approximately in the middle), the intersections of these line segments form a quadrilateral. Calc - Rotaty motion
What minimum speed and frequency do we need to rotate with the water can in a vertical plane along a circle with a radius of 70 cm to prevent water from spilling? - Mr. Zucchini
Mr. Zucchini had a rectangular garden whose perimeter was 28 meters. The garden's area filled just four square beds, whose dimensions in meters are expressed in whole numbers. Determine what size could have a garden. Find all the possibilities and write n - In an
In an ABCD square, n interior points are chosen on each side. Find the number of all triangles whose vertices X, Y, and Z lie at these points and on different sides of the square.
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