Examples for secondary school students - page 215 of 230
Number of problems found: 4586
- Square
If we increase the side of the square, increase its area of 50%. What is the percentage we increase the side of the square? - Probabilities
If probabilities of A, B, and A ∩ B are P (A) = 0.62, P (B) = 0.78, and P (A ∩ B) = 0.26, calculate the following probability (of the union. intersect and opposite and its combinations): - Spherical segment
The spherical segment with height h=2 has a volume of V=225. Calculate the radius of the sphere which is cut in this segment. - Vector
Calculate the length of the vector v&; 8407; = (0.75, 5.5, 7.25, 1.25). - Overload
Calculate how many g's (gravity accelerations) the glider pilot when turning the horizontal circles of radius 148 m flying at 95 km/h. Centripetal acceleration is proportional to the square of the speed and inversely proportional to the radius of rotation - Segment
Calculate the segment AB's length if the coordinates of the end vertices are A[0, -2] and B[-4, 9]. - Interest
What is the annual interest rate on your account if we put 32790 and after 176 days received 33939.2? - Climb
The road sign that informs the climb is 10.3%—the car drives 10 km along this road. What is the height difference that the car went? - Chebyshev formula
To estimate the number of primes less than x Chebyshev formula is used: Pi(x) = 1.11 (x)/(ln x). Estimate the number of primes less than 30300537. - Rotary cone
A rotary cone whose height is equal to the circumference of the base has a volume 2488 cm³. Calculate the radius of the base circle and the height of the cone. - Clock
How many times a day do hands on a clock overlap? - Circumscribing
Find the radius of the circumscribed circle to the right triangle with legs 6 cm and 3 cm. - R Trapezium
Rectangular trapezium has bases 21 and 10 and area 92 cm². What is its perimeter? - Squaring the Circle
Find the side of the square with the same area as the circle of radius 9. - Aircraft
The plane flies at altitude 6300 m. At the time of the first measurement was to see the elevation angle of 21° and the second measurement of the elevation angle of 46°. Calculate the distance the plane flew between the two measurements. - Map
On the tourist map, on a scale of 1:100000 is the distance between two points along a straight road 8.9 cm. How long travels this distance on a bike at 25 km/h? Time express in minutes. - Circle
The circle touches two parallel lines, p, and q, and its center lies on line a, which is the secant of lines p and q. Write the equation of the circle and determine the coordinates of the center and radius. p: x-10 = 0 q: -x-19 = 0 a: 9x-4y+5 = 0 - Im>0?
Is -10i a positive number? - Vans
In how many ways can 5 shuttle vans line up at the airport? - Slope
What is the slope of the line defined by the equation 4x -2y = 10?
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