Examples for secondary school students - page 187 of 230
Number of problems found: 4586
- Points on circle
The Cartesian coordinate system with the origin O is a sketched circle k /center O; radius r=2 cm/. Write all the points that lie on a circle k and whose coordinates are integers. Write all the points on the circle I with center O and radius r=5 cm, whose - Truck PRG-BA
Truck driving on the highway from Prague to Bratislava at an average speed of 72 km/h. When the truck passes 54 kilometers from Prague, the passenger car departs from Prague and travels to Bratislava at a speed of 90 km/h. When and where (at what highway - Semicircle
To a semicircle with a diameter of 10 cm, inscribe a square. What is the length of the square sides? - Bronze, tin and copper
Bronze is an alloy of tin and copper. An alloy of 10% tin and 90% copper is Gunmetal. It is bell metal if it contains 20% tin and 80% copper. How many tons of molten bell metal and copper are needed to make 100 tons of Gunmetal? - Rectangle - sides 4
The perimeter of the rectangle is 72 cm. Calculate the length of the sides that are in the ratio of 3:5. - Three numbers
What are three numbers that have the property: the sum of the first and second numbers' reciprocals is 12/7, the first and third 11/24, and the second and the third 3/8. - Pyramid 8
Calculate the volume and the surface area of a regular quadrangular pyramid with a base side of 9 cm and a side wall with the base has an angle of 75°. - Medians of isosceles triangle
The isosceles triangle has a base ABC |AB| = 16 cm and a 10 cm long arm. What is the length of the medians? - 3s prism
A regular perpendicular triangular prism with a height of 19.0 cm and a base edge of 7.1 cm is given. Calculate the prism's volume. - Trapezoid IV
In a trapezoid ABCD (AB||CD) is |AB| = 15cm |CD| = 7 cm, |AC| = 12 cm, AC is perpendicular to BC. What area has a trapezoid ABCD? - Eight blocks
Dana had the task of saving the eight blocks of these rules: 1. Between two red cubes must be a different color. 2. Between two blue must be two different colors. 3. Between two green must be three different colors. 4. Between two yellow blocks must be fo - Owner of the company
The company's owner, with extensive administrative activity, wants to sell the obsolete three machines at the price of CZK 1000 per 1 machine with a six-month warranty period. If the machine breaks down during this period, the owner will return the employ - Truncated pyramid
How many cubic meters is the volume of a regular four-sided truncated pyramid with edges of one meter and 60 cm and a high of 250 mm? - Determine 2426
Determine the first nine members of the sequence if a 10 = -8, q = -1. - Determine 2419
Determine the first seven members of the sequence if a8 = 12, d = 1 - Tetrahedral pyramid
Calculate the regular tetrahedral pyramid's volume and surface if the area of the base is 20 cm² and the deviation angle of the side edges from the plane of the base is 60 degrees. - AP - basics
Determine the first member and differentiate the following sequence: a3-a5=24 a4-2a5=61 - Sequence - 5 members
Write the first five members of the sequence a_n =(3n - (-1)^n) +2 - Seats
Seats in the sports hall are organized so that each subsequent row has five more seats. The First has ten seats. How many seats are: a) in the eighth row b) in the eighteenth row - Population
What is the city's population with 3% annual growth if, in 10 years, the city will have 60,000 residents?
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