Examples for secondary school students - page 78 of 212
Number of problems found: 4239
- Cube walls
Find the volume and surface area of the cube if the area of one wall is 40 cm². - Sphere vs cube
How much % of the surface of a sphere of radius 12 cm is the surface of a cube inscribed in this sphere? - The ditch
Ditch with a cross-section of an isosceles trapezoid with bases 2m and 6m deep 1.5m. How long is the slope of the ditch? - Arc-sector
arc length = 17 cm area of sector = 55 cm² arc angle = ? the radius of the sector = ? - Road drop
On a straight stretch of road is marked a 12 percent drop. What angle makes the direction of the road with the horizontal plane? - Cube - wall
V kocke ABCDEFGH je |CF|=4 √ 2. Aký je povrch kocky? - 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. - Triangle - is RT?
Triangle has a circumference of 90 cm. Side b is 1 cm longer than c, and side c is 31 cm longer than side a. Calculate the length of sides and determine whether a triangle is a right triangle. - Alfa, beta, gama
In the ABC triangle, is the size of the internal angle BETA 8 degrees larger than the size of the internal angle ALFA and the size of the internal angle GAMA is twice the size of the angle BETA? Determine the size of the interior angles of the triangle AB - Theorem prove
We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption do we start? - Cuboid - complicated
Three walls of the same cuboid have an area of 6 cm², 10 cm², and 15 cm². Calculate the volume of the cuboid. - Triangular pyramid
Determine the volume and surface area of a regular triangular pyramid having a base edge a=20 cm and a lateral edge b = 35 cm. - Locomotive
Locomotive pulled a permanent train load of 200 kN horizontally along the track of 5km. What work has it done? - The book
If you read p pages daily, you will read the book for 24 days. If you read ten pages each day more, you would read a book in 16 days. How many pages have the book? - Class pairs
In a class of 34 students, including 14 boys and 20 girls. How many couples (heterosexual, boy-girl) can we create? By what formula? - Surface area
The volume of a cone is 1000 cm³, and the area of the axis cut is 100 cm². Calculate the surface area of the cone. - Rhomboid
The rhomboid sides' dimensions are a= 5cm, b = 6 cm, and the angle's size at vertex A is 60°. What is the length of the side AC? - Invitations
For every 5 minutes, writes Dana had ten invitations, while Anna had 14 invitations. How long will write together 120 invitations? - Water
The lawn has an area 1571 m², rained 5 mm of water. How many liters of water rained? - The city
At the end of 2010, the city had 248000 residents. The population increased by 2.5% each year. What is the population at the end of 2013?
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