Examples for secondary school students - page 223 of 230
Number of problems found: 4586
- Equation
How many real roots have equation x³=x? - R triangle
Calculate the right triangle area whose longer leg is 7 dm shorter than the hypotenuse and 10 dm longer than the shorter leg. - 7 heroes
6 heroes galloping on 6 horses behind. How many ways can we sort them behind? - Wiring
The conduit has a cross-section 54² mm. Maybe put it into 6 conductors with a cross section S2 $mm²? - River
Calculate how many permille river Hudson average falls, if on section long 952 km flowing water from 1231 m AMSL to 131 m AMSL. - Factors
Can the expression 4x ² -47.6x +39.6 be factored into rational factors? - Fraction
For what x expression (4x²-16)/(3x² -6x) equals zero? - Compare II
Which of the numbers 710 and 107 is greater? - Angle between lines
Calculate the angle between these two lines: p: -4x +7y +7 =0 q: -x +4y +7=0 - 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 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[-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 = 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(16 * sqrt[ 7 ] (16)) right) 19 can be written in the form 16^x. Find the value of x.
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