Examples for secondary school students - page 99 of 212
Number of problems found: 4239
- Right angled triangle 2
LMN is a right-angled triangle with vertices at L(1,3), M(3,5), and N(6,n). Given angle LMN is 90° find n - Savings
Paul has by half greater savings than half Stanley, but the same savings as Radek. Staney save 120 CZK less than Radek. What savings have three boys together? - Pyramid 4sides
Calculate the volume and the surface of a regular quadrangular pyramid when the edge of the base is 4 cm long and the pyramid's height is 7 cm. - Students
In the front row sit three students, and in every other row sit 11 students, more than in the previous row. Determine how many students are in the room when the room is nine lines, and determine how many students are in the seventh row. - Inscribed circle
XYZ is a right triangle with a right angle at the vertex X with an inscribed circle with a radius of 5 cm. Find the area of the triangle XYZ if XZ = 14 cm. - Prize
How many ways can 9 participants be rewarded with the first, second, and third prizes in a sports competition? - Octahedron
All walls of the regular octahedron are identical equilateral triangles. ABCDEF octahedron edges have a length d = 6 cm. Calculate the surface area and volume of this octahedron. - Volume of three cuboids
Calculate the total volume of all cuboids for which the edges' sizes are in a ratio of 1:2:3, and one of the edges has a size of 6 cm. - Diagonals in diamond
In the rhombus is given a = 160 cm, alpha = 60 degrees. Calculate the length of the diagonals. - Dollars
Mama split 760 dollars between Jane, Dane, and Eva: Jane got three times more than Dane and Dane and 40 more than Eva. How much does get each of them? - Legs
In the room are four-legged chairs and three-legged stools, and all are fitted with (one) person. I counted all the legs in the room, and there were 39. How many are there chairs, stools, and people? - Isosceles trapezoid
The bases of the isosceles trapezoid are in the ratio of 5:3. The arms have a length of 5 cm and height = 4.8 cm. Calculate the circumference and area of a trapezoid. - Goat
Meadow is a circle with a radius r = 19 m. How long must a rope tie a goat to the pin on the Meadow's perimeter to allow the goat to eat half of the Meadow? - Computer
The school purchased the computer 10000. Each year, the price of a computer always depreciates the same percentage as the previous year. After four years, the value of the computer is reduced to 1300. How much percent was the declining price of the comput - Angle
A straight line p given by the equation y = (-8)/(6) x +78. Calculate the size of the angle in degrees between line p and y-axis. - Hockey players
After we cycle, five hockey players sit down. What is the probability that the two best scorers of this crew will sit next to each other? - Flowerbed
The flowerbed has the shape of an obtuse isosceles triangle. The arm has a size of 5.5 meters, and an angle opposite the base size is 94°. What is the distance from the base to the opposite vertex? - Painter Pavel
Painter Pavel painted the fence for 16 hours, and painter Petr the same fence painted for 13 h. How long should it take to paint the fence together? - Shot
Shot with a mass 43 g flying at 256 m/s penetrates into the wood to a depth 25 cm. What is the average force of resistance of wood? - Circular motion
The mass point regularly moves in a circle with radius r = $r m angular velocity ω = 4.3 rad/s. Calculate the period, frequency, and centripetal acceleration of this movement.
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