Examples for secondary school students - page 216 of 222
Number of problems found: 4435
- Mast
The mast has 8 a long shadow on a slope rising from the mast foot in the direction of the shadow angle at angle 7.8°. Determine the height of the mast if the sun above the horizon is at an angle 35°6'.
- Cube corners
From the cube of edge 5 cm, we cut off all vertices so that each cutting plane intersects the edges 1 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 14 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[-17,9] B[-26,-19] C[-7,7].
- Cyclist
The cyclist goes uphill 2 km for 7.4 minutes and downhill minutes for 4.8 minutes. Both are applied to the pedals with the same force. How long does he pass 2 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 = 64, x2 = 100, x3 = 25, x4 = 49. 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(14 * sqrt[ 4 ] (14)) right) 17 can be written in the form 14^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 36 ha. How much area is occupied by forest on the map at scale 1:500?
- Wire
One pull of wire is reduced by its diameter by 14%. What will the wire diameter be with diameter 19 mm over 10 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 sum all the integers from 1 to 400.
- Product
The product of two consecutive odd numbers is 1295. What are these numbers?
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