Examples for secondary school students - page 224 of 230
Number of problems found: 4597
- Mast
The mast has 16 a long shadow on a slope rising from the mast foot in the direction of the shadow angle at angle 9.7°. Determine the height of the mast if the sun above the horizon is at an angle 40°48'. - Cube corners
From the cube of edge 24 cm, we cut off all vertices so that each cutting plane intersects the edges 2 cm from the nearest vertice. How many edges will this body have? - Sea
How far can you see from the ship's mast, whose peak is at 9 meters above sea level? (Earth's radius is 6370 km). - Center
Calculate the coordinates of the center of gravity T [x, y] of triangle ABC; A[-19,3] B[-20,25] C[22,10]. - Cyclist
The cyclist goes uphill 7 km for 46.9 minutes and downhill minutes for 15.4 minutes. Both are applied to the pedals with the same force. How long does he pass 7 km by plane? - Powers
Express the expression (1000) ^ (21) * (10) ^ (101) * (10) ^ (145) as the n-th power of the base 10. - Daily average
Calculate the average temperature during the day, when 14 hours were 24 °C and 10 hours was 14 °C. - Rectangle
In a rectangle with sides, 8 and 9 mark the diagonal. What is the probability that a randomly selected point within the rectangle is closer to the diagonal than any side of the rectangle? - Equation
Equation f(x) = 0 has roots x1 = 25, x2 = 64, x3 = 9. How many roots have equation f(x²) = 0? - Function
For linear function f(x) = ax + b is f(19)=141; f(20)=168. Calculate m, if f(m) = 2018. - Power
Number left(sqrt(16 * sqrt[ 7 ] (16)) right) 19 can be written in the form 16^x. Find the value of x. - Colors
Arnold got birthday 7 color pens in different colors. How many ways can he give them side by side in pencil? - Map
Forest has an area of 77 ha. How much area is occupied by forest on the map at scale 1:10000? - Wire
One pull of wire is reduced by its diameter by 13%. What will the wire diameter be with diameter 6 mm over 6 pulls? - Hockey
The hockey match ended 8:10. How many different matches could be? - One half
One-half of 2 63 is: ... - Line
Is it true that the lines that do not intersect are parallel? - Gauss
Help little C.F. Gauss to sum all the integers from 1 to 150. - Product
The product of two consecutive odd numbers is 1295. What are these numbers? - Pipeline
How much percent has the pipe cross-section area changed (reduced) if the circular shape is changed to square with the same perimeter?
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