Examples for secondary school students - page 200 of 223
Number of problems found: 4443
- Combi-triangle
Each square side is marked 10 different points outside the square's vertices. How many triangles can be constructed from this set of points, where each vertex of the triangle lies on the other side of the square?
- V - slope
The slope of the line whose equation is -6x +7 = 0 is
- Fish tank
A fish tank at a pet store has 27 zebrafish. In how many different ways can George choose 2 zebra fish to buy?
- Speedometer
The speedometer of a car reads 66 km/h. It's accurate to within 4.1% What is the maximum possible error?
- Angle between vectors
Find the angle between the given vectors to the nearest tenth degree. u = (6, 22) and v = (10, -11)
- Line segment
For the line segment whose endpoints are L[-1, 13] and M[18, 2], find the x and y values for the point located 4 over 7, the distance from L to M.
- Diameter
If the endpoints of the diameter of a circle are A(-9, 10) and B (-5, -4), what is the circle's radius?
- Scouts
The boys from the scout group traveled a distance of 115 km over d days. Every day, they walked less than the previous day. How many kilometers did the scouts walk on the first day?
- Chord - TS v2
The radius of circle k measures 72 cm. Chord GH = 11 cm. What is TS?
- Chord - TS
The radius of circle k measures 68 cm. Arc GH = 47 cm. What is TS?
- Green - Red
We have 5 bags. Each consists of one green and 2 red balls. From each, we pull just one ball. What is the probability that we don't pull any green ball?
- Isosceles IV
In an isosceles triangle ABC is |AC| = |BC| = 13 and |AB| = 10. Calculate the radius of the inscribed (r) and described (R) circle.
- Dog
The man went with a dog on a long walk 17 km from the house. The man is walking at a speed of 4.9 km/h. A dog constantly runs between the house and the man at 12.6 km/h. How many kilometers will the dog run when they reach its destination?
- EQL triangle
Calculate the inradius and circumradius of an equilateral triangle with side a=77 cm.
- Gasholder
The gasholder has a spherical shape with a diameter of 26 m. How many cubic meters (m³) can hold in?
- Funnel
The funnel has the shape of an equilateral cone. Calculate the surface wetted with water if we poured into the funnel 7.1 liters of water.
- Task of the year
Find the number of integers from 1 to 106 with ending four digits 2015.
- Truncated cone
Calculate the height of the rotating truncated cone with volume V = 1354 cm³ and a base radii r1 = 9.1 cm and r2 = 5.4 cm.
- Circle
The circle is given by the center on S[-7; 10], and the maximum chord is 13 long. How many intersections have a circle with the coordinate axes?
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